0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.069 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.069 * * [simplify]: iters left: 6 (12 enodes) 0.076 * * [simplify]: iters left: 5 (46 enodes) 0.091 * * [simplify]: iters left: 4 (56 enodes) 0.105 * * [simplify]: Extracting #0: cost 1 inf + 0 0.105 * * [simplify]: Extracting #1: cost 4 inf + 0 0.105 * * [simplify]: Extracting #2: cost 5 inf + 1 0.105 * * [simplify]: Extracting #3: cost 10 inf + 1 0.105 * * [simplify]: Extracting #4: cost 14 inf + 2 0.105 * * [simplify]: Extracting #5: cost 13 inf + 87 0.106 * * [simplify]: Extracting #6: cost 16 inf + 87 0.106 * * [simplify]: Extracting #7: cost 18 inf + 128 0.106 * * [simplify]: Extracting #8: cost 15 inf + 211 0.107 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.108 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.109 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.110 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.110 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.242 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.282 * * * [progress]: generating series expansions 0.282 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.282 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.282 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.282 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [backup-simplify]: Simplify re into re 0.283 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.283 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.283 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.283 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.284 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.284 * [taylor]: Taking taylor expansion of im in re 0.284 * [backup-simplify]: Simplify im into im 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.284 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [backup-simplify]: Simplify im into im 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.285 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.286 * [taylor]: Taking taylor expansion of im in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [taylor]: Taking taylor expansion of 0 in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.289 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.289 * [taylor]: Taking taylor expansion of 1/2 in im 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.294 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.294 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [backup-simplify]: Simplify re into re 0.295 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.295 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.295 * [taylor]: Taking taylor expansion of im in im 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.300 * [taylor]: Taking taylor expansion of re in re 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.305 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.309 * [taylor]: Taking taylor expansion of 1 in im 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.312 * [taylor]: Taking taylor expansion of 1/2 in im 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in im 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.321 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.321 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.321 * [taylor]: Taking taylor expansion of re in im 0.321 * [backup-simplify]: Simplify re into re 0.321 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (sqrt 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (sqrt 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.331 * [taylor]: Taking taylor expansion of im in re 0.331 * [backup-simplify]: Simplify im into im 0.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (sqrt 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.335 * [taylor]: Taking taylor expansion of 1 in im 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of 0 in im 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.338 * [taylor]: Taking taylor expansion of 1/2 in im 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.347 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.347 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.347 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.347 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [backup-simplify]: Simplify re into re 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.347 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [backup-simplify]: Simplify re into re 0.347 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.347 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.347 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.348 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.348 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.348 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [backup-simplify]: Simplify im into im 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.349 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.349 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.349 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.349 * [taylor]: Taking taylor expansion of re in re 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.349 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.349 * [taylor]: Taking taylor expansion of im in re 0.349 * [backup-simplify]: Simplify im into im 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.350 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.350 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 im) into im 0.351 * [taylor]: Taking taylor expansion of im in im 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in im 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (+ 0 1) into 1 0.353 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.353 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.353 * [taylor]: Taking taylor expansion of 1/2 in im 0.353 * [backup-simplify]: Simplify 1/2 into 1/2 0.353 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.360 * [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))))) 0.360 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [backup-simplify]: Simplify re into re 0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [backup-simplify]: Simplify re into re 0.361 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ 0 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [backup-simplify]: Simplify im into im 0.367 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.368 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.372 * [taylor]: Taking taylor expansion of im in re 0.372 * [backup-simplify]: Simplify im into im 0.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.376 * [backup-simplify]: Simplify (+ 1 1) into 2 0.376 * [taylor]: Taking taylor expansion of 2 in im 0.376 * [backup-simplify]: Simplify 2 into 2 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 2 into 2 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.382 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.382 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.382 * [taylor]: Taking taylor expansion of 1/2 in im 0.382 * [backup-simplify]: Simplify 1/2 into 1/2 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.393 * [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)) 0.393 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.393 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [backup-simplify]: Simplify re into re 0.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.393 * [taylor]: Taking taylor expansion of im in im 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (+ 0 1) into 1 0.395 * [backup-simplify]: Simplify (sqrt 1) into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [backup-simplify]: Simplify re into re 0.398 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.398 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.399 * [taylor]: Taking taylor expansion of im in re 0.399 * [backup-simplify]: Simplify im into im 0.399 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.400 * [backup-simplify]: Simplify (+ 1 0) into 1 0.400 * [backup-simplify]: Simplify (sqrt 1) into 1 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.402 * [taylor]: Taking taylor expansion of re in re 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.404 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.404 * [taylor]: Taking taylor expansion of im in re 0.404 * [backup-simplify]: Simplify im into im 0.404 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.405 * [backup-simplify]: Simplify (+ 1 0) into 1 0.405 * [backup-simplify]: Simplify (sqrt 1) into 1 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.415 * [taylor]: Taking taylor expansion of 1/2 in im 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.429 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.429 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.429 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.429 * [taylor]: Taking taylor expansion of 2.0 in im 0.429 * [backup-simplify]: Simplify 2.0 into 2.0 0.429 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.430 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [backup-simplify]: Simplify re into re 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.430 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.430 * [taylor]: Taking taylor expansion of im in im 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [backup-simplify]: Simplify re into re 0.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.430 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.431 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.431 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.431 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.432 * [taylor]: Taking taylor expansion of 2.0 in re 0.432 * [backup-simplify]: Simplify 2.0 into 2.0 0.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.433 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.433 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.433 * [taylor]: Taking taylor expansion of im in re 0.433 * [backup-simplify]: Simplify im into im 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.433 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 im) into im 0.434 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.435 * [taylor]: Taking taylor expansion of 2.0 in re 0.435 * [backup-simplify]: Simplify 2.0 into 2.0 0.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.436 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.436 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.436 * [taylor]: Taking taylor expansion of im in re 0.436 * [backup-simplify]: Simplify im into im 0.436 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.437 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.437 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 im) into im 0.437 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.438 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.438 * [taylor]: Taking taylor expansion of 2.0 in im 0.438 * [backup-simplify]: Simplify 2.0 into 2.0 0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.440 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (sqrt 0) into 0 0.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.443 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.444 * [taylor]: Taking taylor expansion of 1/2 in im 0.444 * [backup-simplify]: Simplify 1/2 into 1/2 0.444 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.444 * [taylor]: Taking taylor expansion of 2.0 in im 0.444 * [backup-simplify]: Simplify 2.0 into 2.0 0.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 0) into 0 0.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.449 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.449 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.455 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.457 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.459 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.459 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 0 1) into 1 0.460 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.460 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.461 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.462 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.462 * [taylor]: Taking taylor expansion of 1/8 in im 0.462 * [backup-simplify]: Simplify 1/8 into 1/8 0.462 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.462 * [taylor]: Taking taylor expansion of 2.0 in im 0.462 * [backup-simplify]: Simplify 2.0 into 2.0 0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.463 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (sqrt 0) into 0 0.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.470 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.471 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.471 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.475 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.478 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.478 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.478 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.478 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.478 * [taylor]: Taking taylor expansion of 2.0 in im 0.478 * [backup-simplify]: Simplify 2.0 into 2.0 0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (+ 0 1) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 0) into 0 0.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.483 * [taylor]: Taking taylor expansion of 2.0 in re 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.485 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [backup-simplify]: Simplify (+ 1 1) into 2 0.487 * [backup-simplify]: Simplify (sqrt 0) into 0 0.488 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.488 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.488 * [taylor]: Taking taylor expansion of 2.0 in re 0.488 * [backup-simplify]: Simplify 2.0 into 2.0 0.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [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 0.490 * [backup-simplify]: Simplify (sqrt 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.492 * [backup-simplify]: Simplify (+ 1 1) into 2 0.492 * [backup-simplify]: Simplify (sqrt 0) into 0 0.493 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.493 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.495 * [taylor]: Taking taylor expansion of +nan.0 in im 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.503 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.503 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.503 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.503 * [taylor]: Taking taylor expansion of +nan.0 in im 0.503 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.503 * [taylor]: Taking taylor expansion of 2.0 in im 0.503 * [backup-simplify]: Simplify 2.0 into 2.0 0.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.505 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.506 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.508 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.512 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.512 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.514 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.517 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.517 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.517 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.517 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.517 * [taylor]: Taking taylor expansion of +nan.0 in im 0.517 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.517 * [taylor]: Taking taylor expansion of 2.0 in im 0.517 * [backup-simplify]: Simplify 2.0 into 2.0 0.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.518 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.518 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.518 * [taylor]: Taking taylor expansion of +nan.0 in im 0.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.519 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.519 * [taylor]: Taking taylor expansion of 2.0 in im 0.519 * [backup-simplify]: Simplify 2.0 into 2.0 0.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.527 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.528 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [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 0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.539 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.539 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.539 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.539 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.539 * [taylor]: Taking taylor expansion of +nan.0 in im 0.539 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.539 * [taylor]: Taking taylor expansion of 2.0 in im 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.541 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.541 * [taylor]: Taking taylor expansion of +nan.0 in im 0.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.542 * [taylor]: Taking taylor expansion of 2.0 in im 0.542 * [backup-simplify]: Simplify 2.0 into 2.0 0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.551 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.552 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.555 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.555 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.555 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.555 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.555 * [taylor]: Taking taylor expansion of 2.0 in im 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.555 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.556 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.556 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.556 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.556 * [taylor]: Taking taylor expansion of re in im 0.556 * [backup-simplify]: Simplify re into re 0.556 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.556 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (sqrt 0) into 0 0.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.560 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.560 * [taylor]: Taking taylor expansion of 2.0 in re 0.560 * [backup-simplify]: Simplify 2.0 into 2.0 0.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.561 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [backup-simplify]: Simplify im into im 0.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (sqrt 1) into 1 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.564 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (- 1) into -1 0.564 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.568 * [backup-simplify]: Simplify (sqrt 0) into 0 0.569 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.569 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.569 * [taylor]: Taking taylor expansion of 2.0 in re 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.570 * [taylor]: Taking taylor expansion of re in re 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.570 * [taylor]: Taking taylor expansion of im in re 0.570 * [backup-simplify]: Simplify im into im 0.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [backup-simplify]: Simplify (- 1) into -1 0.573 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.576 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.577 * [backup-simplify]: Simplify (sqrt 0) into 0 0.577 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.578 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.578 * [taylor]: Taking taylor expansion of 0 in im 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.578 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.578 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.578 * [taylor]: Taking taylor expansion of +nan.0 in im 0.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.578 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.579 * [taylor]: Taking taylor expansion of 2.0 in im 0.579 * [backup-simplify]: Simplify 2.0 into 2.0 0.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.587 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.587 * [taylor]: Taking taylor expansion of +nan.0 in im 0.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.587 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.587 * [taylor]: Taking taylor expansion of 2.0 in im 0.587 * [backup-simplify]: Simplify 2.0 into 2.0 0.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.587 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.607 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.610 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.610 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.610 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.610 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.610 * [taylor]: Taking taylor expansion of +nan.0 in im 0.610 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.610 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.610 * [taylor]: Taking taylor expansion of 2.0 in im 0.610 * [backup-simplify]: Simplify 2.0 into 2.0 0.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.611 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.613 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.613 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.613 * [taylor]: Taking taylor expansion of +nan.0 in im 0.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.613 * [taylor]: Taking taylor expansion of 2.0 in im 0.613 * [backup-simplify]: Simplify 2.0 into 2.0 0.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.614 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.614 * [taylor]: Taking taylor expansion of im in im 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * * * [progress]: simplifying candidates 0.656 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.656 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.657 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.657 * * [simplify]: iters left: 6 (8 enodes) 0.659 * * [simplify]: iters left: 5 (26 enodes) 0.662 * * [simplify]: Extracting #0: cost 1 inf + 0 0.662 * * [simplify]: Extracting #1: cost 4 inf + 0 0.662 * * [simplify]: Extracting #2: cost 7 inf + 0 0.662 * * [simplify]: Extracting #3: cost 10 inf + 0 0.662 * * [simplify]: Extracting #4: cost 14 inf + 0 0.662 * * [simplify]: Extracting #5: cost 10 inf + 84 0.662 * * [simplify]: Extracting #6: cost 8 inf + 166 0.662 * * [simplify]: Extracting #7: cost 4 inf + 854 0.663 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.663 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.663 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.663 * [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))))) 0.663 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.663 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.664 * * [simplify]: iters left: 6 (7 enodes) 0.665 * * [simplify]: iters left: 5 (22 enodes) 0.668 * * [simplify]: Extracting #0: cost 1 inf + 0 0.668 * * [simplify]: Extracting #1: cost 3 inf + 0 0.668 * * [simplify]: Extracting #2: cost 5 inf + 0 0.668 * * [simplify]: Extracting #3: cost 8 inf + 0 0.668 * * [simplify]: Extracting #4: cost 12 inf + 0 0.668 * * [simplify]: Extracting #5: cost 10 inf + 2 0.668 * * [simplify]: Extracting #6: cost 1 inf + 936 0.668 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.669 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.669 * [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))))) 0.669 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.669 * [simplify]: Simplifying (sqrt 1) 0.669 * * [simplify]: iters left: 1 (2 enodes) 0.671 * * [simplify]: Extracting #0: cost 1 inf + 0 0.671 * * [simplify]: Extracting #1: cost 0 inf + 1 0.671 * [simplify]: Simplified to 1 0.671 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.671 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.671 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.671 * * [simplify]: iters left: 6 (9 enodes) 0.674 * * [simplify]: iters left: 5 (45 enodes) 0.686 * * [simplify]: iters left: 4 (100 enodes) 0.710 * * [simplify]: iters left: 3 (201 enodes) 0.766 * * [simplify]: iters left: 2 (406 enodes) 0.929 * * [simplify]: Extracting #0: cost 1 inf + 0 0.929 * * [simplify]: Extracting #1: cost 3 inf + 0 0.929 * * [simplify]: Extracting #2: cost 6 inf + 0 0.929 * * [simplify]: Extracting #3: cost 62 inf + 0 0.930 * * [simplify]: Extracting #4: cost 166 inf + 460 0.933 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.947 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.958 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.968 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.979 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.979 * [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))))) 0.979 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 0.980 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.980 * * [simplify]: iters left: 6 (8 enodes) 0.984 * * [simplify]: iters left: 5 (37 enodes) 0.997 * * [simplify]: iters left: 4 (67 enodes) 1.010 * * [simplify]: iters left: 3 (123 enodes) 1.035 * * [simplify]: iters left: 2 (278 enodes) 1.203 * * [simplify]: Extracting #0: cost 1 inf + 0 1.203 * * [simplify]: Extracting #1: cost 3 inf + 0 1.204 * * [simplify]: Extracting #2: cost 50 inf + 0 1.204 * * [simplify]: Extracting #3: cost 150 inf + 0 1.206 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.211 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.223 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.237 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.252 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.252 * [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))))) 1.252 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.253 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.253 * * [simplify]: iters left: 4 (5 enodes) 1.255 * * [simplify]: iters left: 3 (16 enodes) 1.259 * * [simplify]: Extracting #0: cost 1 inf + 0 1.259 * * [simplify]: Extracting #1: cost 4 inf + 0 1.259 * * [simplify]: Extracting #2: cost 8 inf + 0 1.260 * * [simplify]: Extracting #3: cost 4 inf + 84 1.260 * * [simplify]: Extracting #4: cost 0 inf + 410 1.260 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.260 * [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))))) 1.260 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.260 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.261 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.261 * * [simplify]: iters left: 5 (6 enodes) 1.264 * * [simplify]: iters left: 4 (19 enodes) 1.269 * * [simplify]: Extracting #0: cost 1 inf + 0 1.269 * * [simplify]: Extracting #1: cost 3 inf + 0 1.269 * * [simplify]: Extracting #2: cost 6 inf + 0 1.269 * * [simplify]: Extracting #3: cost 10 inf + 0 1.269 * * [simplify]: Extracting #4: cost 6 inf + 84 1.269 * * [simplify]: Extracting #5: cost 0 inf + 734 1.270 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.270 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.270 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.270 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.270 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.270 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.271 * * [simplify]: iters left: 6 (9 enodes) 1.274 * * [simplify]: iters left: 5 (31 enodes) 1.283 * * [simplify]: iters left: 4 (35 enodes) 1.296 * * [simplify]: Extracting #0: cost 1 inf + 0 1.296 * * [simplify]: Extracting #1: cost 5 inf + 0 1.296 * * [simplify]: Extracting #2: cost 10 inf + 0 1.296 * * [simplify]: Extracting #3: cost 11 inf + 1 1.297 * * [simplify]: Extracting #4: cost 12 inf + 143 1.297 * * [simplify]: Extracting #5: cost 14 inf + 184 1.297 * * [simplify]: Extracting #6: cost 10 inf + 308 1.297 * * [simplify]: Extracting #7: cost 7 inf + 794 1.298 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.299 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.300 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.300 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.300 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 1.300 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 1.301 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.301 * * [simplify]: iters left: 6 (7 enodes) 1.304 * * [simplify]: iters left: 5 (23 enodes) 1.310 * * [simplify]: Extracting #0: cost 1 inf + 0 1.310 * * [simplify]: Extracting #1: cost 4 inf + 0 1.310 * * [simplify]: Extracting #2: cost 5 inf + 1 1.310 * * [simplify]: Extracting #3: cost 8 inf + 1 1.310 * * [simplify]: Extracting #4: cost 10 inf + 42 1.310 * * [simplify]: Extracting #5: cost 8 inf + 84 1.311 * * [simplify]: Extracting #6: cost 1 inf + 936 1.311 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.311 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.311 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.312 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.312 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 1.312 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 1.312 * [simplify]: Simplifying (sqrt 2.0) 1.313 * * [simplify]: iters left: 1 (2 enodes) 1.314 * * [simplify]: Extracting #0: cost 1 inf + 0 1.314 * * [simplify]: Extracting #1: cost 3 inf + 0 1.315 * * [simplify]: Extracting #2: cost 2 inf + 1 1.315 * * [simplify]: Extracting #3: cost 0 inf + 83 1.315 * [simplify]: Simplified to (sqrt 2.0) 1.315 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.315 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 1.315 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.315 * * [simplify]: iters left: 6 (13 enodes) 1.323 * * [simplify]: iters left: 5 (60 enodes) 1.340 * * [simplify]: iters left: 4 (109 enodes) 1.362 * * [simplify]: iters left: 3 (209 enodes) 1.422 * * [simplify]: iters left: 2 (444 enodes) 1.615 * * [simplify]: Extracting #0: cost 1 inf + 0 1.615 * * [simplify]: Extracting #1: cost 3 inf + 0 1.615 * * [simplify]: Extracting #2: cost 14 inf + 0 1.616 * * [simplify]: Extracting #3: cost 101 inf + 1 1.617 * * [simplify]: Extracting #4: cost 193 inf + 736 1.622 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.639 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.662 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.675 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.687 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.687 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 1.687 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 1.687 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.687 * * [simplify]: iters left: 6 (11 enodes) 1.690 * * [simplify]: iters left: 5 (38 enodes) 1.702 * * [simplify]: iters left: 4 (70 enodes) 1.730 * * [simplify]: iters left: 3 (163 enodes) 1.810 * * [simplify]: iters left: 2 (400 enodes) 2.073 * * [simplify]: Extracting #0: cost 1 inf + 0 2.073 * * [simplify]: Extracting #1: cost 3 inf + 0 2.073 * * [simplify]: Extracting #2: cost 60 inf + 0 2.074 * * [simplify]: Extracting #3: cost 168 inf + 44 2.076 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.082 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.094 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.111 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.133 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.133 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.133 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 2.133 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.133 * * [simplify]: iters left: 6 (9 enodes) 2.138 * * [simplify]: iters left: 5 (36 enodes) 2.150 * * [simplify]: iters left: 4 (46 enodes) 2.161 * * [simplify]: Extracting #0: cost 1 inf + 0 2.161 * * [simplify]: Extracting #1: cost 6 inf + 0 2.161 * * [simplify]: Extracting #2: cost 10 inf + 1 2.162 * * [simplify]: Extracting #3: cost 10 inf + 44 2.162 * * [simplify]: Extracting #4: cost 12 inf + 86 2.162 * * [simplify]: Extracting #5: cost 14 inf + 127 2.162 * * [simplify]: Extracting #6: cost 12 inf + 169 2.162 * * [simplify]: Extracting #7: cost 8 inf + 495 2.163 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.164 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.165 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.165 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.165 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 2.165 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.165 * * [simplify]: iters left: 6 (9 enodes) 2.170 * * [simplify]: iters left: 5 (36 enodes) 2.182 * * [simplify]: iters left: 4 (46 enodes) 2.194 * * [simplify]: Extracting #0: cost 1 inf + 0 2.194 * * [simplify]: Extracting #1: cost 6 inf + 0 2.194 * * [simplify]: Extracting #2: cost 10 inf + 1 2.194 * * [simplify]: Extracting #3: cost 10 inf + 44 2.194 * * [simplify]: Extracting #4: cost 12 inf + 86 2.195 * * [simplify]: Extracting #5: cost 14 inf + 127 2.195 * * [simplify]: Extracting #6: cost 12 inf + 169 2.195 * * [simplify]: Extracting #7: cost 8 inf + 495 2.196 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.197 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.197 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.197 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.198 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 2.198 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 2.198 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.198 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 2.198 * [simplify]: Simplifying im 2.198 * * [simplify]: iters left: 0 (1 enodes) 2.199 * * [simplify]: Extracting #0: cost 1 inf + 0 2.199 * * [simplify]: Extracting #1: cost 0 inf + 1 2.199 * [simplify]: Simplified to im 2.199 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.199 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 2.199 * [simplify]: Simplifying re 2.199 * * [simplify]: iters left: 0 (1 enodes) 2.200 * * [simplify]: Extracting #0: cost 1 inf + 0 2.200 * * [simplify]: Extracting #1: cost 0 inf + 1 2.200 * [simplify]: Simplified to re 2.200 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.200 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 2.200 * [simplify]: Simplifying (* -1 re) 2.200 * * [simplify]: iters left: 2 (3 enodes) 2.202 * * [simplify]: iters left: 1 (11 enodes) 2.205 * * [simplify]: Extracting #0: cost 1 inf + 0 2.206 * * [simplify]: Extracting #1: cost 4 inf + 0 2.206 * * [simplify]: Extracting #2: cost 0 inf + 84 2.206 * [simplify]: Simplified to (- re) 2.206 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.206 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 2.206 * [simplify]: Simplifying (+ re im) 2.206 * * [simplify]: iters left: 2 (3 enodes) 2.208 * * [simplify]: iters left: 1 (10 enodes) 2.210 * * [simplify]: Extracting #0: cost 1 inf + 0 2.210 * * [simplify]: Extracting #1: cost 4 inf + 0 2.210 * * [simplify]: Extracting #2: cost 2 inf + 2 2.211 * * [simplify]: Extracting #3: cost 0 inf + 86 2.211 * [simplify]: Simplified to (+ im re) 2.211 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.211 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 2.211 * [simplify]: Simplifying (* 2 re) 2.211 * * [simplify]: iters left: 2 (3 enodes) 2.213 * * [simplify]: iters left: 1 (10 enodes) 2.216 * * [simplify]: Extracting #0: cost 1 inf + 0 2.216 * * [simplify]: Extracting #1: cost 4 inf + 0 2.216 * * [simplify]: Extracting #2: cost 2 inf + 2 2.216 * * [simplify]: Extracting #3: cost 0 inf + 86 2.217 * [simplify]: Simplified to (* 2 re) 2.217 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.217 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 2.217 * [simplify]: Simplifying 0 2.217 * * [simplify]: iters left: 0 (1 enodes) 2.218 * * [simplify]: Extracting #0: cost 1 inf + 0 2.218 * * [simplify]: Extracting #1: cost 0 inf + 1 2.218 * [simplify]: Simplified to 0 2.218 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.218 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 2.219 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.219 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.219 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 2.219 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.219 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.219 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 2.219 * [simplify]: Simplifying 0 2.219 * * [simplify]: iters left: 0 (1 enodes) 2.220 * * [simplify]: Extracting #0: cost 1 inf + 0 2.220 * * [simplify]: Extracting #1: cost 0 inf + 1 2.221 * [simplify]: Simplified to 0 2.221 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.221 * * * [progress]: adding candidates to table 2.812 * * [progress]: iteration 2 / 4 2.812 * * * [progress]: picking best candidate 2.854 * * * * [pick]: Picked # 2.855 * * * [progress]: localizing error 2.905 * * * [progress]: generating rewritten candidates 2.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1) 2.911 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 2.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 3.166 * * * [progress]: generating series expansions 3.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1) 3.166 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.166 * [taylor]: Taking taylor expansion of im in im 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.166 * [taylor]: Taking taylor expansion of re in im 3.166 * [backup-simplify]: Simplify re into re 3.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.167 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.167 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.167 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.168 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.168 * [taylor]: Taking taylor expansion of im in re 3.168 * [backup-simplify]: Simplify im into im 3.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.168 * [taylor]: Taking taylor expansion of re in re 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.168 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.169 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.169 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.169 * [taylor]: Taking taylor expansion of im in re 3.169 * [backup-simplify]: Simplify im into im 3.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.169 * [taylor]: Taking taylor expansion of re in re 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.169 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.169 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.169 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.170 * [taylor]: Taking taylor expansion of im in im 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [taylor]: Taking taylor expansion of 0 in im 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.171 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (+ 0 1) into 1 3.172 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.172 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.172 * [taylor]: Taking taylor expansion of 1/2 in im 3.172 * [backup-simplify]: Simplify 1/2 into 1/2 3.172 * [taylor]: Taking taylor expansion of im in im 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.176 * [taylor]: Taking taylor expansion of 0 in im 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.178 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.178 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.178 * [taylor]: Taking taylor expansion of re in im 3.178 * [backup-simplify]: Simplify re into re 3.178 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.178 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.178 * [taylor]: Taking taylor expansion of im in im 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (* 1 1) into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [backup-simplify]: Simplify (+ 0 1) into 1 3.180 * [backup-simplify]: Simplify (sqrt 1) into 1 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.182 * [taylor]: Taking taylor expansion of re in re 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (* 1 1) into 1 3.183 * [backup-simplify]: Simplify (/ 1 1) into 1 3.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.183 * [taylor]: Taking taylor expansion of im in re 3.183 * [backup-simplify]: Simplify im into im 3.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.184 * [backup-simplify]: Simplify (+ 1 0) into 1 3.184 * [backup-simplify]: Simplify (sqrt 1) into 1 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.187 * [taylor]: Taking taylor expansion of re in re 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (* 1 1) into 1 3.188 * [backup-simplify]: Simplify (/ 1 1) into 1 3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.188 * [taylor]: Taking taylor expansion of im in re 3.188 * [backup-simplify]: Simplify im into im 3.188 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.188 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.188 * [backup-simplify]: Simplify (+ 1 0) into 1 3.189 * [backup-simplify]: Simplify (sqrt 1) into 1 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.191 * [taylor]: Taking taylor expansion of 1 in im 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of 0 in im 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.195 * [taylor]: Taking taylor expansion of 1/2 in im 3.195 * [backup-simplify]: Simplify 1/2 into 1/2 3.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.195 * [taylor]: Taking taylor expansion of im in im 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (* 1 1) into 1 3.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.200 * [taylor]: Taking taylor expansion of 0 in im 3.200 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.203 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.203 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.203 * [taylor]: Taking taylor expansion of re in im 3.203 * [backup-simplify]: Simplify re into re 3.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.203 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.203 * [taylor]: Taking taylor expansion of im in im 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (+ 0 1) into 1 3.205 * [backup-simplify]: Simplify (sqrt 1) into 1 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.208 * [taylor]: Taking taylor expansion of re in re 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (* 1 1) into 1 3.208 * [backup-simplify]: Simplify (/ 1 1) into 1 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.208 * [taylor]: Taking taylor expansion of im in re 3.208 * [backup-simplify]: Simplify im into im 3.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.209 * [backup-simplify]: Simplify (+ 1 0) into 1 3.209 * [backup-simplify]: Simplify (sqrt 1) into 1 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (+ 0 0) into 0 3.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.212 * [taylor]: Taking taylor expansion of re in re 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [backup-simplify]: Simplify (/ 1 1) into 1 3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.213 * [taylor]: Taking taylor expansion of im in re 3.213 * [backup-simplify]: Simplify im into im 3.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.214 * [backup-simplify]: Simplify (+ 1 0) into 1 3.214 * [backup-simplify]: Simplify (sqrt 1) into 1 3.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.217 * [taylor]: Taking taylor expansion of 1 in im 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of 0 in im 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.221 * [taylor]: Taking taylor expansion of 1/2 in im 3.221 * [backup-simplify]: Simplify 1/2 into 1/2 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.221 * [taylor]: Taking taylor expansion of im in im 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.227 * [taylor]: Taking taylor expansion of 0 in im 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 3.229 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.229 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.229 * [taylor]: Taking taylor expansion of im in im 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.229 * [taylor]: Taking taylor expansion of re in im 3.229 * [backup-simplify]: Simplify re into re 3.229 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.229 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.230 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.230 * [taylor]: Taking taylor expansion of im in re 3.230 * [backup-simplify]: Simplify im into im 3.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.230 * [taylor]: Taking taylor expansion of re in re 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.230 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.231 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.231 * [taylor]: Taking taylor expansion of im in re 3.231 * [backup-simplify]: Simplify im into im 3.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.231 * [taylor]: Taking taylor expansion of re in re 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.232 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.232 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.232 * [taylor]: Taking taylor expansion of im in im 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [taylor]: Taking taylor expansion of 0 in im 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.234 * [backup-simplify]: Simplify (+ 0 1) into 1 3.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.235 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.235 * [taylor]: Taking taylor expansion of 1/2 in im 3.235 * [backup-simplify]: Simplify 1/2 into 1/2 3.235 * [taylor]: Taking taylor expansion of im in im 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.238 * [taylor]: Taking taylor expansion of 0 in im 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.240 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.240 * [taylor]: Taking taylor expansion of re in im 3.240 * [backup-simplify]: Simplify re into re 3.240 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.240 * [taylor]: Taking taylor expansion of im in im 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [backup-simplify]: Simplify (+ 0 1) into 1 3.242 * [backup-simplify]: Simplify (sqrt 1) into 1 3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.244 * [taylor]: Taking taylor expansion of re in re 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.245 * [backup-simplify]: Simplify (* 1 1) into 1 3.245 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.245 * [taylor]: Taking taylor expansion of im in re 3.245 * [backup-simplify]: Simplify im into im 3.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.246 * [backup-simplify]: Simplify (+ 1 0) into 1 3.246 * [backup-simplify]: Simplify (sqrt 1) into 1 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.249 * [taylor]: Taking taylor expansion of re in re 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.250 * [taylor]: Taking taylor expansion of im in re 3.250 * [backup-simplify]: Simplify im into im 3.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.251 * [backup-simplify]: Simplify (+ 1 0) into 1 3.251 * [backup-simplify]: Simplify (sqrt 1) into 1 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.253 * [taylor]: Taking taylor expansion of 1 in im 3.253 * [backup-simplify]: Simplify 1 into 1 3.254 * [taylor]: Taking taylor expansion of 0 in im 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.257 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.257 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.257 * [taylor]: Taking taylor expansion of 1/2 in im 3.257 * [backup-simplify]: Simplify 1/2 into 1/2 3.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.257 * [taylor]: Taking taylor expansion of im in im 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.258 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.263 * [taylor]: Taking taylor expansion of 0 in im 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.266 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.266 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.266 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.266 * [taylor]: Taking taylor expansion of re in im 3.266 * [backup-simplify]: Simplify re into re 3.266 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.266 * [taylor]: Taking taylor expansion of im in im 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (* 1 1) into 1 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [backup-simplify]: Simplify (+ 0 1) into 1 3.268 * [backup-simplify]: Simplify (sqrt 1) into 1 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ 0 0) into 0 3.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.270 * [taylor]: Taking taylor expansion of re in re 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.271 * [taylor]: Taking taylor expansion of im in re 3.271 * [backup-simplify]: Simplify im into im 3.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.272 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (sqrt 1) into 1 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.280 * [taylor]: Taking taylor expansion of re in re 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (* 1 1) into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.282 * [taylor]: Taking taylor expansion of im in re 3.282 * [backup-simplify]: Simplify im into im 3.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.282 * [backup-simplify]: Simplify (+ 1 0) into 1 3.283 * [backup-simplify]: Simplify (sqrt 1) into 1 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.285 * [taylor]: Taking taylor expansion of 1 in im 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of 0 in im 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.287 * [taylor]: Taking taylor expansion of 1/2 in im 3.287 * [backup-simplify]: Simplify 1/2 into 1/2 3.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.287 * [taylor]: Taking taylor expansion of im in im 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.290 * [taylor]: Taking taylor expansion of 0 in im 3.290 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.292 * [backup-simplify]: Simplify (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 3.292 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 3.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 3.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.292 * [taylor]: Taking taylor expansion of 2.0 in im 3.292 * [backup-simplify]: Simplify 2.0 into 2.0 3.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.293 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 3.293 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.293 * [taylor]: Taking taylor expansion of re in im 3.293 * [backup-simplify]: Simplify re into re 3.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.293 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.293 * [taylor]: Taking taylor expansion of im in im 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.293 * [taylor]: Taking taylor expansion of re in im 3.293 * [backup-simplify]: Simplify re into re 3.293 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.293 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.293 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.293 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.294 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.294 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.294 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 3.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.294 * [taylor]: Taking taylor expansion of 2.0 in re 3.294 * [backup-simplify]: Simplify 2.0 into 2.0 3.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.295 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 3.295 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.295 * [taylor]: Taking taylor expansion of re in re 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.295 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.295 * [taylor]: Taking taylor expansion of im in re 3.295 * [backup-simplify]: Simplify im into im 3.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.295 * [taylor]: Taking taylor expansion of re in re 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.295 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.295 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 im) into im 3.296 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.296 * [backup-simplify]: Simplify (+ 1 0) into 1 3.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 3.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.296 * [taylor]: Taking taylor expansion of 2.0 in re 3.296 * [backup-simplify]: Simplify 2.0 into 2.0 3.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.297 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 3.297 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.297 * [taylor]: Taking taylor expansion of re in re 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.297 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.297 * [taylor]: Taking taylor expansion of im in re 3.297 * [backup-simplify]: Simplify im into im 3.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.297 * [taylor]: Taking taylor expansion of re in re 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.297 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.297 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.297 * [backup-simplify]: Simplify (+ 0 im) into im 3.297 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.298 * [backup-simplify]: Simplify (+ 1 0) into 1 3.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.298 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 3.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.298 * [taylor]: Taking taylor expansion of 2.0 in im 3.298 * [backup-simplify]: Simplify 2.0 into 2.0 3.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.299 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.299 * [taylor]: Taking taylor expansion of im in im 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (sqrt 0) into 0 3.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.301 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 3.301 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.301 * [taylor]: Taking taylor expansion of 1/2 in im 3.301 * [backup-simplify]: Simplify 1/2 into 1/2 3.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.301 * [taylor]: Taking taylor expansion of 2.0 in im 3.301 * [backup-simplify]: Simplify 2.0 into 2.0 3.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.302 * [taylor]: Taking taylor expansion of im in im 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (/ 1 1) into 1 3.302 * [backup-simplify]: Simplify (sqrt 0) into 0 3.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.304 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.305 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.308 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.310 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.310 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.310 * [backup-simplify]: Simplify (* 1 1) into 1 3.311 * [backup-simplify]: Simplify (+ 0 1) into 1 3.311 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.311 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.312 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 3.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 3.313 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.313 * [taylor]: Taking taylor expansion of 1/8 in im 3.313 * [backup-simplify]: Simplify 1/8 into 1/8 3.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.313 * [taylor]: Taking taylor expansion of 2.0 in im 3.313 * [backup-simplify]: Simplify 2.0 into 2.0 3.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.314 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.314 * [taylor]: Taking taylor expansion of im in im 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [backup-simplify]: Simplify (sqrt 0) into 0 3.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.327 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.327 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.332 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.339 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 3.340 * [backup-simplify]: Simplify (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 3.340 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 3.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.340 * [taylor]: Taking taylor expansion of 2.0 in im 3.340 * [backup-simplify]: Simplify 2.0 into 2.0 3.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.341 * [taylor]: Taking taylor expansion of re in im 3.341 * [backup-simplify]: Simplify re into re 3.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.341 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.341 * [taylor]: Taking taylor expansion of re in im 3.341 * [backup-simplify]: Simplify re into re 3.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.342 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.342 * [taylor]: Taking taylor expansion of im in im 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* 1 1) into 1 3.342 * [backup-simplify]: Simplify (/ 1 1) into 1 3.343 * [backup-simplify]: Simplify (+ 0 1) into 1 3.343 * [backup-simplify]: Simplify (sqrt 1) into 1 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 1) into 1 3.347 * [backup-simplify]: Simplify (sqrt 0) into 0 3.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.348 * [taylor]: Taking taylor expansion of 2.0 in re 3.348 * [backup-simplify]: Simplify 2.0 into 2.0 3.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.349 * [taylor]: Taking taylor expansion of re in re 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.350 * [taylor]: Taking taylor expansion of re in re 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.351 * [taylor]: Taking taylor expansion of im in re 3.351 * [backup-simplify]: Simplify im into im 3.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.352 * [backup-simplify]: Simplify (sqrt 1) into 1 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.355 * [backup-simplify]: Simplify (+ 1 1) into 2 3.355 * [backup-simplify]: Simplify (sqrt 0) into 0 3.356 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.357 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.357 * [taylor]: Taking taylor expansion of 2.0 in re 3.357 * [backup-simplify]: Simplify 2.0 into 2.0 3.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.358 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.358 * [taylor]: Taking taylor expansion of re in re 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.358 * [taylor]: Taking taylor expansion of re in re 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.359 * [taylor]: Taking taylor expansion of im in re 3.359 * [backup-simplify]: Simplify im into im 3.359 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.360 * [backup-simplify]: Simplify (sqrt 1) into 1 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.363 * [backup-simplify]: Simplify (+ 1 1) into 2 3.364 * [backup-simplify]: Simplify (sqrt 0) into 0 3.364 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.365 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.365 * [taylor]: Taking taylor expansion of 0 in im 3.365 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.366 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.366 * [taylor]: Taking taylor expansion of +nan.0 in im 3.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.366 * [taylor]: Taking taylor expansion of 2.0 in im 3.366 * [backup-simplify]: Simplify 2.0 into 2.0 3.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.371 * [taylor]: Taking taylor expansion of +nan.0 in im 3.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.372 * [taylor]: Taking taylor expansion of 2.0 in im 3.372 * [backup-simplify]: Simplify 2.0 into 2.0 3.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.373 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.374 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.377 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.379 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 3.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.380 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 3.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.380 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.380 * [taylor]: Taking taylor expansion of +nan.0 in im 3.380 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.380 * [taylor]: Taking taylor expansion of 2.0 in im 3.380 * [backup-simplify]: Simplify 2.0 into 2.0 3.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.381 * [taylor]: Taking taylor expansion of +nan.0 in im 3.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.381 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.381 * [taylor]: Taking taylor expansion of 2.0 in im 3.381 * [backup-simplify]: Simplify 2.0 into 2.0 3.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.382 * [taylor]: Taking taylor expansion of im in im 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (* 1 1) into 1 3.383 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.387 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.393 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.394 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.394 * [backup-simplify]: Simplify (- 0) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 3.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.404 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 3.404 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.404 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.404 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.404 * [taylor]: Taking taylor expansion of +nan.0 in im 3.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.404 * [taylor]: Taking taylor expansion of 2.0 in im 3.404 * [backup-simplify]: Simplify 2.0 into 2.0 3.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.406 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.406 * [taylor]: Taking taylor expansion of +nan.0 in im 3.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.406 * [taylor]: Taking taylor expansion of 2.0 in im 3.406 * [backup-simplify]: Simplify 2.0 into 2.0 3.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.407 * [taylor]: Taking taylor expansion of im in im 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.410 * [backup-simplify]: Simplify (- 0) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (- 0) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.413 * [backup-simplify]: Simplify (- 0) into 0 3.414 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.416 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.417 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.420 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.420 * [backup-simplify]: Simplify (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 3.420 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 3.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.420 * [taylor]: Taking taylor expansion of 2.0 in im 3.420 * [backup-simplify]: Simplify 2.0 into 2.0 3.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.421 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.421 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.421 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.421 * [taylor]: Taking taylor expansion of re in im 3.421 * [backup-simplify]: Simplify re into re 3.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.421 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.421 * [taylor]: Taking taylor expansion of im in im 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (+ 0 1) into 1 3.422 * [backup-simplify]: Simplify (sqrt 1) into 1 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.424 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.424 * [taylor]: Taking taylor expansion of re in im 3.424 * [backup-simplify]: Simplify re into re 3.424 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.424 * [backup-simplify]: Simplify (+ 1 0) into 1 3.424 * [backup-simplify]: Simplify (sqrt 0) into 0 3.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.425 * [taylor]: Taking taylor expansion of 2.0 in re 3.425 * [backup-simplify]: Simplify 2.0 into 2.0 3.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.426 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.426 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.426 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.426 * [taylor]: Taking taylor expansion of re in re 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (* 1 1) into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.427 * [taylor]: Taking taylor expansion of im in re 3.427 * [backup-simplify]: Simplify im into im 3.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.427 * [backup-simplify]: Simplify (+ 1 0) into 1 3.427 * [backup-simplify]: Simplify (sqrt 1) into 1 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.429 * [taylor]: Taking taylor expansion of re in re 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (/ 1 1) into 1 3.429 * [backup-simplify]: Simplify (- 1) into -1 3.429 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.433 * [backup-simplify]: Simplify (sqrt 0) into 0 3.434 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.434 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.434 * [taylor]: Taking taylor expansion of 2.0 in re 3.434 * [backup-simplify]: Simplify 2.0 into 2.0 3.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.435 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.435 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.435 * [taylor]: Taking taylor expansion of re in re 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.436 * [taylor]: Taking taylor expansion of im in re 3.436 * [backup-simplify]: Simplify im into im 3.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.436 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.436 * [backup-simplify]: Simplify (+ 1 0) into 1 3.437 * [backup-simplify]: Simplify (sqrt 1) into 1 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.439 * [taylor]: Taking taylor expansion of re in re 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (/ 1 1) into 1 3.440 * [backup-simplify]: Simplify (- 1) into -1 3.441 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (- 0) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.445 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (- 0) into 0 3.447 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.447 * [backup-simplify]: Simplify (sqrt 0) into 0 3.448 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.448 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.448 * [taylor]: Taking taylor expansion of 0 in im 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 3.449 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.449 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.449 * [taylor]: Taking taylor expansion of +nan.0 in im 3.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.449 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.449 * [taylor]: Taking taylor expansion of 2.0 in im 3.449 * [backup-simplify]: Simplify 2.0 into 2.0 3.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.451 * [taylor]: Taking taylor expansion of im in im 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.452 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.453 * [backup-simplify]: Simplify (- 0) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (- 0) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.458 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 3.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.458 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.458 * [taylor]: Taking taylor expansion of +nan.0 in im 3.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.458 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.458 * [taylor]: Taking taylor expansion of 2.0 in im 3.458 * [backup-simplify]: Simplify 2.0 into 2.0 3.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.459 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.459 * [taylor]: Taking taylor expansion of im in im 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.471 * [backup-simplify]: Simplify (- 0) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.475 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.475 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 3.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.477 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 3.477 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.477 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.477 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.477 * [taylor]: Taking taylor expansion of +nan.0 in im 3.477 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.477 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.477 * [taylor]: Taking taylor expansion of 2.0 in im 3.477 * [backup-simplify]: Simplify 2.0 into 2.0 3.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.477 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.477 * [taylor]: Taking taylor expansion of im in im 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (* 1 1) into 1 3.478 * [backup-simplify]: Simplify (* 1 1) into 1 3.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.479 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.479 * [taylor]: Taking taylor expansion of +nan.0 in im 3.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.479 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.479 * [taylor]: Taking taylor expansion of 2.0 in im 3.479 * [backup-simplify]: Simplify 2.0 into 2.0 3.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.479 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.479 * [taylor]: Taking taylor expansion of im in im 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.481 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 3.517 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 3.518 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 3.518 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 3.518 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.518 * [taylor]: Taking taylor expansion of re in im 3.518 * [backup-simplify]: Simplify re into re 3.518 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.518 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.518 * [taylor]: Taking taylor expansion of im in im 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.518 * [taylor]: Taking taylor expansion of re in im 3.518 * [backup-simplify]: Simplify re into re 3.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.518 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.519 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.519 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.519 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.519 * [taylor]: Taking taylor expansion of re in re 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.519 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.519 * [taylor]: Taking taylor expansion of im in re 3.519 * [backup-simplify]: Simplify im into im 3.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.519 * [taylor]: Taking taylor expansion of re in re 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.519 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.519 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.520 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.520 * [taylor]: Taking taylor expansion of re in re 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.520 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.520 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.520 * [taylor]: Taking taylor expansion of im in re 3.520 * [backup-simplify]: Simplify im into im 3.520 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.520 * [taylor]: Taking taylor expansion of re in re 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.520 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.520 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 im) into im 3.521 * [taylor]: Taking taylor expansion of im in im 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ 1 0) into 1 3.522 * [taylor]: Taking taylor expansion of 1 in im 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.523 * [backup-simplify]: Simplify (+ 0 1) into 1 3.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.524 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.524 * [taylor]: Taking taylor expansion of 1/2 in im 3.524 * [backup-simplify]: Simplify 1/2 into 1/2 3.524 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.524 * [taylor]: Taking taylor expansion of im in im 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [taylor]: Taking taylor expansion of 0 in im 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.531 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.531 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.531 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.531 * [taylor]: Taking taylor expansion of re in im 3.531 * [backup-simplify]: Simplify re into re 3.531 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.531 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.531 * [taylor]: Taking taylor expansion of re in im 3.531 * [backup-simplify]: Simplify re into re 3.531 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.532 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.532 * [taylor]: Taking taylor expansion of im in im 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (* 1 1) into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [backup-simplify]: Simplify (+ 0 1) into 1 3.533 * [backup-simplify]: Simplify (sqrt 1) into 1 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.536 * [taylor]: Taking taylor expansion of re in re 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.537 * [taylor]: Taking taylor expansion of re in re 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (* 1 1) into 1 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.538 * [taylor]: Taking taylor expansion of im in re 3.538 * [backup-simplify]: Simplify im into im 3.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.538 * [backup-simplify]: Simplify (+ 1 0) into 1 3.539 * [backup-simplify]: Simplify (sqrt 1) into 1 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.541 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.541 * [taylor]: Taking taylor expansion of re in re 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.542 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.542 * [taylor]: Taking taylor expansion of re in re 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.543 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.543 * [taylor]: Taking taylor expansion of im in re 3.543 * [backup-simplify]: Simplify im into im 3.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.543 * [backup-simplify]: Simplify (+ 1 0) into 1 3.544 * [backup-simplify]: Simplify (sqrt 1) into 1 3.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.547 * [backup-simplify]: Simplify (+ 1 1) into 2 3.547 * [taylor]: Taking taylor expansion of 2 in im 3.547 * [backup-simplify]: Simplify 2 into 2 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [taylor]: Taking taylor expansion of 0 in im 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 2 into 2 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.552 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.552 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.552 * [taylor]: Taking taylor expansion of 1/2 in im 3.552 * [backup-simplify]: Simplify 1/2 into 1/2 3.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.552 * [taylor]: Taking taylor expansion of im in im 3.552 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (* 1 1) into 1 3.553 * [backup-simplify]: Simplify (/ 1 1) into 1 3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.559 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [taylor]: Taking taylor expansion of 0 in im 3.560 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.564 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.564 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.564 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.564 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.564 * [taylor]: Taking taylor expansion of re in im 3.564 * [backup-simplify]: Simplify re into re 3.564 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.564 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.564 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.564 * [taylor]: Taking taylor expansion of im in im 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.565 * [backup-simplify]: Simplify (* 1 1) into 1 3.565 * [backup-simplify]: Simplify (/ 1 1) into 1 3.566 * [backup-simplify]: Simplify (+ 0 1) into 1 3.566 * [backup-simplify]: Simplify (sqrt 1) into 1 3.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.569 * [taylor]: Taking taylor expansion of re in im 3.569 * [backup-simplify]: Simplify re into re 3.569 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.569 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.569 * [taylor]: Taking taylor expansion of re in re 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.570 * [taylor]: Taking taylor expansion of im in re 3.570 * [backup-simplify]: Simplify im into im 3.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.571 * [backup-simplify]: Simplify (+ 1 0) into 1 3.571 * [backup-simplify]: Simplify (sqrt 1) into 1 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.573 * [taylor]: Taking taylor expansion of re in re 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.574 * [taylor]: Taking taylor expansion of re in re 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.575 * [taylor]: Taking taylor expansion of im in re 3.575 * [backup-simplify]: Simplify im into im 3.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.575 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.576 * [backup-simplify]: Simplify (+ 1 0) into 1 3.576 * [backup-simplify]: Simplify (sqrt 1) into 1 3.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.579 * [taylor]: Taking taylor expansion of re in re 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.579 * [backup-simplify]: Simplify (- 1) into -1 3.580 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.580 * [taylor]: Taking taylor expansion of 0 in im 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [taylor]: Taking taylor expansion of 0 in im 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.587 * [taylor]: Taking taylor expansion of 1/2 in im 3.587 * [backup-simplify]: Simplify 1/2 into 1/2 3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.587 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.587 * [taylor]: Taking taylor expansion of im in im 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (- 0) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [taylor]: Taking taylor expansion of 0 in im 3.595 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * * * [progress]: simplifying candidates 3.599 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 3.599 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 3.600 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.600 * * [simplify]: iters left: 6 (8 enodes) 3.601 * * [simplify]: iters left: 5 (26 enodes) 3.605 * * [simplify]: Extracting #0: cost 1 inf + 0 3.605 * * [simplify]: Extracting #1: cost 4 inf + 0 3.605 * * [simplify]: Extracting #2: cost 7 inf + 0 3.605 * * [simplify]: Extracting #3: cost 10 inf + 0 3.605 * * [simplify]: Extracting #4: cost 14 inf + 0 3.605 * * [simplify]: Extracting #5: cost 10 inf + 84 3.605 * * [simplify]: Extracting #6: cost 8 inf + 166 3.605 * * [simplify]: Extracting #7: cost 4 inf + 854 3.605 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.606 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.606 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.606 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))))) 3.606 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 3.606 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.606 * * [simplify]: iters left: 6 (7 enodes) 3.608 * * [simplify]: iters left: 5 (22 enodes) 3.611 * * [simplify]: Extracting #0: cost 1 inf + 0 3.611 * * [simplify]: Extracting #1: cost 3 inf + 0 3.611 * * [simplify]: Extracting #2: cost 5 inf + 0 3.611 * * [simplify]: Extracting #3: cost 8 inf + 0 3.611 * * [simplify]: Extracting #4: cost 12 inf + 0 3.611 * * [simplify]: Extracting #5: cost 10 inf + 2 3.611 * * [simplify]: Extracting #6: cost 1 inf + 936 3.611 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.611 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.612 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 3.612 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 3.612 * [simplify]: Simplifying (sqrt 1) 3.612 * * [simplify]: iters left: 1 (2 enodes) 3.614 * * [simplify]: Extracting #0: cost 1 inf + 0 3.614 * * [simplify]: Extracting #1: cost 0 inf + 1 3.614 * [simplify]: Simplified to 1 3.614 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))))) 3.614 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 3.614 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.614 * * [simplify]: iters left: 6 (9 enodes) 3.617 * * [simplify]: iters left: 5 (45 enodes) 3.635 * * [simplify]: iters left: 4 (100 enodes) 3.680 * * [simplify]: iters left: 3 (201 enodes) 3.747 * * [simplify]: iters left: 2 (406 enodes) 3.900 * * [simplify]: Extracting #0: cost 1 inf + 0 3.900 * * [simplify]: Extracting #1: cost 3 inf + 0 3.900 * * [simplify]: Extracting #2: cost 6 inf + 0 3.900 * * [simplify]: Extracting #3: cost 62 inf + 0 3.901 * * [simplify]: Extracting #4: cost 166 inf + 460 3.903 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.906 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.912 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.917 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.925 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 3.925 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))))) 3.926 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 3.926 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.926 * * [simplify]: iters left: 6 (8 enodes) 3.931 * * [simplify]: iters left: 5 (37 enodes) 3.944 * * [simplify]: iters left: 4 (67 enodes) 3.972 * * [simplify]: iters left: 3 (123 enodes) 4.022 * * [simplify]: iters left: 2 (278 enodes) 4.200 * * [simplify]: Extracting #0: cost 1 inf + 0 4.200 * * [simplify]: Extracting #1: cost 3 inf + 0 4.200 * * [simplify]: Extracting #2: cost 50 inf + 0 4.201 * * [simplify]: Extracting #3: cost 150 inf + 0 4.208 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.213 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.225 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.240 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.255 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.255 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))))) 4.255 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 4.256 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.256 * * [simplify]: iters left: 4 (5 enodes) 4.258 * * [simplify]: iters left: 3 (16 enodes) 4.262 * * [simplify]: Extracting #0: cost 1 inf + 0 4.262 * * [simplify]: Extracting #1: cost 4 inf + 0 4.262 * * [simplify]: Extracting #2: cost 8 inf + 0 4.263 * * [simplify]: Extracting #3: cost 4 inf + 84 4.263 * * [simplify]: Extracting #4: cost 0 inf + 410 4.263 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.263 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))))) 4.263 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 4.263 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 4.264 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.264 * * [simplify]: iters left: 5 (6 enodes) 4.266 * * [simplify]: iters left: 4 (19 enodes) 4.271 * * [simplify]: Extracting #0: cost 1 inf + 0 4.271 * * [simplify]: Extracting #1: cost 3 inf + 0 4.271 * * [simplify]: Extracting #2: cost 6 inf + 0 4.271 * * [simplify]: Extracting #3: cost 10 inf + 0 4.271 * * [simplify]: Extracting #4: cost 6 inf + 84 4.272 * * [simplify]: Extracting #5: cost 0 inf + 734 4.272 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.272 * [simplify]: Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))))) 4.272 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 4.272 * * * * [progress]: [ 16 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))> 4.273 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 4.273 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 4.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 4.274 * * [simplify]: iters left: 6 (8 enodes) 4.277 * * [simplify]: iters left: 5 (26 enodes) 4.284 * * [simplify]: Extracting #0: cost 1 inf + 0 4.285 * * [simplify]: Extracting #1: cost 4 inf + 0 4.285 * * [simplify]: Extracting #2: cost 7 inf + 0 4.285 * * [simplify]: Extracting #3: cost 10 inf + 0 4.285 * * [simplify]: Extracting #4: cost 14 inf + 0 4.285 * * [simplify]: Extracting #5: cost 10 inf + 84 4.285 * * [simplify]: Extracting #6: cost 8 inf + 166 4.285 * * [simplify]: Extracting #7: cost 4 inf + 854 4.286 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.286 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.287 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.287 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.287 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 4.288 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.288 * * [simplify]: iters left: 6 (7 enodes) 4.291 * * [simplify]: iters left: 5 (22 enodes) 4.297 * * [simplify]: Extracting #0: cost 1 inf + 0 4.297 * * [simplify]: Extracting #1: cost 3 inf + 0 4.297 * * [simplify]: Extracting #2: cost 5 inf + 0 4.297 * * [simplify]: Extracting #3: cost 8 inf + 0 4.297 * * [simplify]: Extracting #4: cost 12 inf + 0 4.297 * * [simplify]: Extracting #5: cost 10 inf + 2 4.297 * * [simplify]: Extracting #6: cost 1 inf + 936 4.298 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.298 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.298 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.298 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 4.299 * [simplify]: Simplifying (sqrt 1) 4.299 * * [simplify]: iters left: 1 (2 enodes) 4.302 * * [simplify]: Extracting #0: cost 1 inf + 0 4.302 * * [simplify]: Extracting #1: cost 0 inf + 1 4.302 * [simplify]: Simplified to 1 4.302 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.302 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 4.303 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 4.303 * * [simplify]: iters left: 6 (9 enodes) 4.308 * * [simplify]: iters left: 5 (45 enodes) 4.327 * * [simplify]: iters left: 4 (100 enodes) 4.354 * * [simplify]: iters left: 3 (201 enodes) 4.415 * * [simplify]: iters left: 2 (406 enodes) 4.556 * * [simplify]: Extracting #0: cost 1 inf + 0 4.556 * * [simplify]: Extracting #1: cost 3 inf + 0 4.556 * * [simplify]: Extracting #2: cost 6 inf + 0 4.556 * * [simplify]: Extracting #3: cost 62 inf + 0 4.557 * * [simplify]: Extracting #4: cost 166 inf + 460 4.560 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.567 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.578 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.588 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.598 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 4.598 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (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)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.599 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 4.599 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.599 * * [simplify]: iters left: 6 (8 enodes) 4.603 * * [simplify]: iters left: 5 (37 enodes) 4.616 * * [simplify]: iters left: 4 (67 enodes) 4.640 * * [simplify]: iters left: 3 (123 enodes) 4.694 * * [simplify]: iters left: 2 (278 enodes) 4.833 * * [simplify]: Extracting #0: cost 1 inf + 0 4.833 * * [simplify]: Extracting #1: cost 3 inf + 0 4.833 * * [simplify]: Extracting #2: cost 50 inf + 0 4.834 * * [simplify]: Extracting #3: cost 150 inf + 0 4.835 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.837 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.843 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.854 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.867 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.867 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.868 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 4.868 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.868 * * [simplify]: iters left: 4 (5 enodes) 4.870 * * [simplify]: iters left: 3 (16 enodes) 4.875 * * [simplify]: Extracting #0: cost 1 inf + 0 4.875 * * [simplify]: Extracting #1: cost 4 inf + 0 4.875 * * [simplify]: Extracting #2: cost 8 inf + 0 4.875 * * [simplify]: Extracting #3: cost 4 inf + 84 4.875 * * [simplify]: Extracting #4: cost 0 inf + 410 4.875 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.876 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.876 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 4.876 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 4.876 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.876 * * [simplify]: iters left: 5 (6 enodes) 4.879 * * [simplify]: iters left: 4 (19 enodes) 4.884 * * [simplify]: Extracting #0: cost 1 inf + 0 4.884 * * [simplify]: Extracting #1: cost 3 inf + 0 4.885 * * [simplify]: Extracting #2: cost 6 inf + 0 4.885 * * [simplify]: Extracting #3: cost 10 inf + 0 4.885 * * [simplify]: Extracting #4: cost 6 inf + 84 4.885 * * [simplify]: Extracting #5: cost 0 inf + 734 4.885 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.885 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.886 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 4.886 * * * * [progress]: [ 32 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 4.886 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 4.886 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 4.886 * * [simplify]: iters left: 6 (10 enodes) 4.892 * * [simplify]: iters left: 5 (39 enodes) 4.904 * * [simplify]: iters left: 4 (49 enodes) 4.916 * * [simplify]: Extracting #0: cost 1 inf + 0 4.916 * * [simplify]: Extracting #1: cost 3 inf + 0 4.916 * * [simplify]: Extracting #2: cost 8 inf + 0 4.916 * * [simplify]: Extracting #3: cost 12 inf + 1 4.916 * * [simplify]: Extracting #4: cost 13 inf + 2 4.916 * * [simplify]: Extracting #5: cost 14 inf + 86 4.917 * * [simplify]: Extracting #6: cost 16 inf + 127 4.917 * * [simplify]: Extracting #7: cost 14 inf + 169 4.917 * * [simplify]: Extracting #8: cost 10 inf + 495 4.917 * * [simplify]: Extracting #9: cost 5 inf + 1426 4.918 * * [simplify]: Extracting #10: cost 1 inf + 2398 4.919 * * [simplify]: Extracting #11: cost 0 inf + 2681 4.920 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 4.920 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (+ 1/2 1/2)))) 4.921 * [simplify]: Simplifying (+ 1/2 1/2) 4.921 * * [simplify]: iters left: 2 (2 enodes) 4.923 * * [simplify]: iters left: 1 (7 enodes) 4.926 * * [simplify]: Extracting #0: cost 1 inf + 0 4.926 * * [simplify]: Extracting #1: cost 0 inf + 1 4.926 * [simplify]: Simplified to 1 4.926 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 4.926 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 4.926 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 4.926 * * [simplify]: iters left: 6 (10 enodes) 4.931 * * [simplify]: iters left: 5 (39 enodes) 4.944 * * [simplify]: iters left: 4 (49 enodes) 4.950 * * [simplify]: Extracting #0: cost 1 inf + 0 4.950 * * [simplify]: Extracting #1: cost 3 inf + 0 4.950 * * [simplify]: Extracting #2: cost 8 inf + 0 4.950 * * [simplify]: Extracting #3: cost 12 inf + 1 4.950 * * [simplify]: Extracting #4: cost 13 inf + 2 4.950 * * [simplify]: Extracting #5: cost 14 inf + 86 4.950 * * [simplify]: Extracting #6: cost 16 inf + 127 4.950 * * [simplify]: Extracting #7: cost 14 inf + 169 4.951 * * [simplify]: Extracting #8: cost 10 inf + 495 4.951 * * [simplify]: Extracting #9: cost 5 inf + 1426 4.951 * * [simplify]: Extracting #10: cost 1 inf + 2398 4.952 * * [simplify]: Extracting #11: cost 0 inf + 2681 4.952 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 4.952 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (+ 1/2 (/ 1 2))))) 4.953 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 4.953 * * [simplify]: iters left: 4 (5 enodes) 4.956 * * [simplify]: iters left: 3 (18 enodes) 4.960 * * [simplify]: iters left: 2 (20 enodes) 4.963 * * [simplify]: Extracting #0: cost 1 inf + 0 4.963 * * [simplify]: Extracting #1: cost 0 inf + 1 4.963 * [simplify]: Simplified to 1 4.963 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 4.963 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 4.963 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 4.963 * * [simplify]: iters left: 6 (11 enodes) 4.966 * * [simplify]: iters left: 5 (42 enodes) 4.973 * * [simplify]: iters left: 4 (52 enodes) 4.986 * * [simplify]: Extracting #0: cost 1 inf + 0 4.986 * * [simplify]: Extracting #1: cost 3 inf + 0 4.986 * * [simplify]: Extracting #2: cost 5 inf + 0 4.987 * * [simplify]: Extracting #3: cost 10 inf + 0 4.987 * * [simplify]: Extracting #4: cost 14 inf + 1 4.987 * * [simplify]: Extracting #5: cost 14 inf + 44 4.987 * * [simplify]: Extracting #6: cost 16 inf + 86 4.987 * * [simplify]: Extracting #7: cost 18 inf + 127 4.987 * * [simplify]: Extracting #8: cost 16 inf + 169 4.988 * * [simplify]: Extracting #9: cost 13 inf + 373 4.988 * * [simplify]: Extracting #10: cost 8 inf + 1224 4.989 * * [simplify]: Extracting #11: cost 3 inf + 2398 4.990 * * [simplify]: Extracting #12: cost 0 inf + 3327 4.991 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 4.991 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (+ 1 1)))) 4.992 * [simplify]: Simplifying (+ 1 1) 4.992 * * [simplify]: iters left: 2 (2 enodes) 4.995 * * [simplify]: iters left: 1 (9 enodes) 4.998 * * [simplify]: Extracting #0: cost 1 inf + 0 4.998 * * [simplify]: Extracting #1: cost 0 inf + 1 4.998 * [simplify]: Simplified to 2 4.998 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 2))) 4.998 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 4.999 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 4.999 * * [simplify]: iters left: 6 (9 enodes) 5.004 * * [simplify]: iters left: 5 (36 enodes) 5.015 * * [simplify]: iters left: 4 (46 enodes) 5.027 * * [simplify]: Extracting #0: cost 1 inf + 0 5.027 * * [simplify]: Extracting #1: cost 6 inf + 0 5.027 * * [simplify]: Extracting #2: cost 10 inf + 1 5.027 * * [simplify]: Extracting #3: cost 10 inf + 44 5.027 * * [simplify]: Extracting #4: cost 12 inf + 86 5.027 * * [simplify]: Extracting #5: cost 14 inf + 127 5.027 * * [simplify]: Extracting #6: cost 12 inf + 169 5.028 * * [simplify]: Extracting #7: cost 8 inf + 495 5.028 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.029 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.030 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.030 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ 1/2 2) (/ 1/2 2))))) 5.030 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 5.030 * * [simplify]: iters left: 4 (4 enodes) 5.036 * * [simplify]: iters left: 3 (13 enodes) 5.039 * * [simplify]: Extracting #0: cost 1 inf + 0 5.039 * * [simplify]: Extracting #1: cost 0 inf + 1 5.040 * [simplify]: Simplified to 1/2 5.040 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.040 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 5.040 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.040 * * [simplify]: iters left: 6 (9 enodes) 5.045 * * [simplify]: iters left: 5 (36 enodes) 5.057 * * [simplify]: iters left: 4 (46 enodes) 5.068 * * [simplify]: Extracting #0: cost 1 inf + 0 5.068 * * [simplify]: Extracting #1: cost 6 inf + 0 5.068 * * [simplify]: Extracting #2: cost 10 inf + 1 5.068 * * [simplify]: Extracting #3: cost 10 inf + 44 5.069 * * [simplify]: Extracting #4: cost 12 inf + 86 5.069 * * [simplify]: Extracting #5: cost 14 inf + 127 5.069 * * [simplify]: Extracting #6: cost 12 inf + 169 5.069 * * [simplify]: Extracting #7: cost 8 inf + 495 5.070 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.071 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.072 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.072 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ 1/2 2) (/ (/ 1 2) 2))))) 5.072 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 5.072 * * [simplify]: iters left: 6 (7 enodes) 5.079 * * [simplify]: iters left: 5 (28 enodes) 5.089 * * [simplify]: iters left: 4 (32 enodes) 5.098 * * [simplify]: Extracting #0: cost 1 inf + 0 5.098 * * [simplify]: Extracting #1: cost 0 inf + 1 5.098 * [simplify]: Simplified to 1/2 5.098 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.098 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 5.098 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.099 * * [simplify]: iters left: 6 (9 enodes) 5.103 * * [simplify]: iters left: 5 (36 enodes) 5.115 * * [simplify]: iters left: 4 (46 enodes) 5.127 * * [simplify]: Extracting #0: cost 1 inf + 0 5.127 * * [simplify]: Extracting #1: cost 6 inf + 0 5.127 * * [simplify]: Extracting #2: cost 10 inf + 1 5.127 * * [simplify]: Extracting #3: cost 10 inf + 44 5.127 * * [simplify]: Extracting #4: cost 12 inf + 86 5.127 * * [simplify]: Extracting #5: cost 14 inf + 127 5.127 * * [simplify]: Extracting #6: cost 12 inf + 169 5.128 * * [simplify]: Extracting #7: cost 8 inf + 495 5.128 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.129 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.130 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.130 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ 1/2 2) (/ (/ 1 2) 2))))) 5.130 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 5.130 * * [simplify]: iters left: 6 (7 enodes) 5.142 * * [simplify]: iters left: 5 (28 enodes) 5.152 * * [simplify]: iters left: 4 (32 enodes) 5.161 * * [simplify]: Extracting #0: cost 1 inf + 0 5.161 * * [simplify]: Extracting #1: cost 0 inf + 1 5.161 * [simplify]: Simplified to 1/2 5.161 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.161 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 5.161 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 5.161 * * [simplify]: iters left: 6 (10 enodes) 5.167 * * [simplify]: iters left: 5 (39 enodes) 5.179 * * [simplify]: iters left: 4 (49 enodes) 5.191 * * [simplify]: Extracting #0: cost 1 inf + 0 5.191 * * [simplify]: Extracting #1: cost 3 inf + 0 5.191 * * [simplify]: Extracting #2: cost 8 inf + 0 5.191 * * [simplify]: Extracting #3: cost 12 inf + 1 5.191 * * [simplify]: Extracting #4: cost 13 inf + 2 5.192 * * [simplify]: Extracting #5: cost 14 inf + 86 5.192 * * [simplify]: Extracting #6: cost 16 inf + 127 5.192 * * [simplify]: Extracting #7: cost 14 inf + 169 5.192 * * [simplify]: Extracting #8: cost 10 inf + 495 5.193 * * [simplify]: Extracting #9: cost 5 inf + 1426 5.194 * * [simplify]: Extracting #10: cost 1 inf + 2398 5.195 * * [simplify]: Extracting #11: cost 0 inf + 2681 5.196 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 5.196 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (+ (/ 1 2) 1/2)))) 5.196 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 5.196 * * [simplify]: iters left: 4 (5 enodes) 5.203 * * [simplify]: iters left: 3 (18 enodes) 5.208 * * [simplify]: iters left: 2 (20 enodes) 5.213 * * [simplify]: Extracting #0: cost 1 inf + 0 5.214 * * [simplify]: Extracting #1: cost 0 inf + 1 5.214 * [simplify]: Simplified to 1 5.214 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 5.214 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 5.214 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 5.214 * * [simplify]: iters left: 6 (10 enodes) 5.219 * * [simplify]: iters left: 5 (39 enodes) 5.232 * * [simplify]: iters left: 4 (49 enodes) 5.244 * * [simplify]: Extracting #0: cost 1 inf + 0 5.244 * * [simplify]: Extracting #1: cost 3 inf + 0 5.244 * * [simplify]: Extracting #2: cost 8 inf + 0 5.244 * * [simplify]: Extracting #3: cost 12 inf + 1 5.244 * * [simplify]: Extracting #4: cost 13 inf + 2 5.245 * * [simplify]: Extracting #5: cost 14 inf + 86 5.245 * * [simplify]: Extracting #6: cost 16 inf + 127 5.245 * * [simplify]: Extracting #7: cost 14 inf + 169 5.245 * * [simplify]: Extracting #8: cost 10 inf + 495 5.246 * * [simplify]: Extracting #9: cost 5 inf + 1426 5.247 * * [simplify]: Extracting #10: cost 1 inf + 2398 5.248 * * [simplify]: Extracting #11: cost 0 inf + 2681 5.249 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 5.249 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (+ (/ 1 2) (/ 1 2))))) 5.249 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 5.249 * * [simplify]: iters left: 4 (4 enodes) 5.253 * * [simplify]: iters left: 3 (15 enodes) 5.258 * * [simplify]: iters left: 2 (17 enodes) 5.263 * * [simplify]: Extracting #0: cost 1 inf + 0 5.263 * * [simplify]: Extracting #1: cost 0 inf + 1 5.263 * [simplify]: Simplified to 1 5.263 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 5.263 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 5.264 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.264 * * [simplify]: iters left: 6 (9 enodes) 5.268 * * [simplify]: iters left: 5 (36 enodes) 5.280 * * [simplify]: iters left: 4 (46 enodes) 5.294 * * [simplify]: Extracting #0: cost 1 inf + 0 5.294 * * [simplify]: Extracting #1: cost 6 inf + 0 5.294 * * [simplify]: Extracting #2: cost 10 inf + 1 5.294 * * [simplify]: Extracting #3: cost 10 inf + 44 5.294 * * [simplify]: Extracting #4: cost 12 inf + 86 5.294 * * [simplify]: Extracting #5: cost 14 inf + 127 5.294 * * [simplify]: Extracting #6: cost 12 inf + 169 5.295 * * [simplify]: Extracting #7: cost 8 inf + 495 5.295 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.295 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.296 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.296 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ 1/2 2))))) 5.296 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 5.296 * * [simplify]: iters left: 6 (7 enodes) 5.301 * * [simplify]: iters left: 5 (28 enodes) 5.306 * * [simplify]: iters left: 4 (32 enodes) 5.311 * * [simplify]: Extracting #0: cost 1 inf + 0 5.311 * * [simplify]: Extracting #1: cost 0 inf + 1 5.311 * [simplify]: Simplified to 1/2 5.311 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.311 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 5.311 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.312 * * [simplify]: iters left: 6 (9 enodes) 5.314 * * [simplify]: iters left: 5 (36 enodes) 5.320 * * [simplify]: iters left: 4 (46 enodes) 5.327 * * [simplify]: Extracting #0: cost 1 inf + 0 5.327 * * [simplify]: Extracting #1: cost 6 inf + 0 5.327 * * [simplify]: Extracting #2: cost 10 inf + 1 5.327 * * [simplify]: Extracting #3: cost 10 inf + 44 5.327 * * [simplify]: Extracting #4: cost 12 inf + 86 5.327 * * [simplify]: Extracting #5: cost 14 inf + 127 5.327 * * [simplify]: Extracting #6: cost 12 inf + 169 5.328 * * [simplify]: Extracting #7: cost 8 inf + 495 5.328 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.329 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.330 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.330 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))))) 5.330 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.330 * * [simplify]: iters left: 6 (5 enodes) 5.336 * * [simplify]: iters left: 5 (22 enodes) 5.344 * * [simplify]: iters left: 4 (26 enodes) 5.351 * * [simplify]: Extracting #0: cost 1 inf + 0 5.351 * * [simplify]: Extracting #1: cost 0 inf + 1 5.351 * [simplify]: Simplified to 1/2 5.351 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.351 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 5.352 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.352 * * [simplify]: iters left: 6 (9 enodes) 5.354 * * [simplify]: iters left: 5 (36 enodes) 5.360 * * [simplify]: iters left: 4 (46 enodes) 5.365 * * [simplify]: Extracting #0: cost 1 inf + 0 5.365 * * [simplify]: Extracting #1: cost 6 inf + 0 5.365 * * [simplify]: Extracting #2: cost 10 inf + 1 5.365 * * [simplify]: Extracting #3: cost 10 inf + 44 5.365 * * [simplify]: Extracting #4: cost 12 inf + 86 5.365 * * [simplify]: Extracting #5: cost 14 inf + 127 5.366 * * [simplify]: Extracting #6: cost 12 inf + 169 5.366 * * [simplify]: Extracting #7: cost 8 inf + 495 5.366 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.366 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.367 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.367 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))))) 5.367 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.367 * * [simplify]: iters left: 6 (5 enodes) 5.370 * * [simplify]: iters left: 5 (22 enodes) 5.375 * * [simplify]: iters left: 4 (26 enodes) 5.382 * * [simplify]: Extracting #0: cost 1 inf + 0 5.382 * * [simplify]: Extracting #1: cost 0 inf + 1 5.382 * [simplify]: Simplified to 1/2 5.383 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.383 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 5.383 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.383 * * [simplify]: iters left: 6 (9 enodes) 5.388 * * [simplify]: iters left: 5 (36 enodes) 5.403 * * [simplify]: iters left: 4 (46 enodes) 5.409 * * [simplify]: Extracting #0: cost 1 inf + 0 5.409 * * [simplify]: Extracting #1: cost 6 inf + 0 5.409 * * [simplify]: Extracting #2: cost 10 inf + 1 5.409 * * [simplify]: Extracting #3: cost 10 inf + 44 5.409 * * [simplify]: Extracting #4: cost 12 inf + 86 5.409 * * [simplify]: Extracting #5: cost 14 inf + 127 5.409 * * [simplify]: Extracting #6: cost 12 inf + 169 5.410 * * [simplify]: Extracting #7: cost 8 inf + 495 5.410 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.410 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.411 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.411 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ 1/2 2))))) 5.411 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 5.411 * * [simplify]: iters left: 6 (7 enodes) 5.416 * * [simplify]: iters left: 5 (28 enodes) 5.421 * * [simplify]: iters left: 4 (32 enodes) 5.425 * * [simplify]: Extracting #0: cost 1 inf + 0 5.425 * * [simplify]: Extracting #1: cost 0 inf + 1 5.425 * [simplify]: Simplified to 1/2 5.425 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.425 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 5.426 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.426 * * [simplify]: iters left: 6 (9 enodes) 5.428 * * [simplify]: iters left: 5 (36 enodes) 5.441 * * [simplify]: iters left: 4 (46 enodes) 5.452 * * [simplify]: Extracting #0: cost 1 inf + 0 5.452 * * [simplify]: Extracting #1: cost 6 inf + 0 5.452 * * [simplify]: Extracting #2: cost 10 inf + 1 5.452 * * [simplify]: Extracting #3: cost 10 inf + 44 5.452 * * [simplify]: Extracting #4: cost 12 inf + 86 5.453 * * [simplify]: Extracting #5: cost 14 inf + 127 5.453 * * [simplify]: Extracting #6: cost 12 inf + 169 5.453 * * [simplify]: Extracting #7: cost 8 inf + 495 5.454 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.455 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.455 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.455 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))))) 5.456 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.456 * * [simplify]: iters left: 6 (5 enodes) 5.461 * * [simplify]: iters left: 5 (22 enodes) 5.470 * * [simplify]: iters left: 4 (26 enodes) 5.477 * * [simplify]: Extracting #0: cost 1 inf + 0 5.477 * * [simplify]: Extracting #1: cost 0 inf + 1 5.477 * [simplify]: Simplified to 1/2 5.477 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.477 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 5.478 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 5.478 * * [simplify]: iters left: 6 (9 enodes) 5.483 * * [simplify]: iters left: 5 (36 enodes) 5.494 * * [simplify]: iters left: 4 (46 enodes) 5.506 * * [simplify]: Extracting #0: cost 1 inf + 0 5.506 * * [simplify]: Extracting #1: cost 6 inf + 0 5.506 * * [simplify]: Extracting #2: cost 10 inf + 1 5.506 * * [simplify]: Extracting #3: cost 10 inf + 44 5.506 * * [simplify]: Extracting #4: cost 12 inf + 86 5.506 * * [simplify]: Extracting #5: cost 14 inf + 127 5.506 * * [simplify]: Extracting #6: cost 12 inf + 169 5.507 * * [simplify]: Extracting #7: cost 8 inf + 495 5.507 * * [simplify]: Extracting #8: cost 3 inf + 1467 5.508 * * [simplify]: Extracting #9: cost 0 inf + 2115 5.508 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.508 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))))) 5.509 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.509 * * [simplify]: iters left: 6 (5 enodes) 5.512 * * [simplify]: iters left: 5 (22 enodes) 5.516 * * [simplify]: iters left: 4 (26 enodes) 5.521 * * [simplify]: Extracting #0: cost 1 inf + 0 5.521 * * [simplify]: Extracting #1: cost 0 inf + 1 5.521 * [simplify]: Simplified to 1/2 5.521 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 5.521 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 5.521 * [simplify]: Simplifying (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 5.521 * * [simplify]: iters left: 6 (11 enodes) 5.527 * * [simplify]: iters left: 5 (40 enodes) 5.533 * * [simplify]: iters left: 4 (51 enodes) 5.539 * * [simplify]: Extracting #0: cost 1 inf + 0 5.539 * * [simplify]: Extracting #1: cost 7 inf + 0 5.539 * * [simplify]: Extracting #2: cost 12 inf + 1 5.539 * * [simplify]: Extracting #3: cost 12 inf + 44 5.539 * * [simplify]: Extracting #4: cost 14 inf + 86 5.540 * * [simplify]: Extracting #5: cost 16 inf + 127 5.540 * * [simplify]: Extracting #6: cost 14 inf + 169 5.540 * * [simplify]: Extracting #7: cost 11 inf + 373 5.540 * * [simplify]: Extracting #8: cost 5 inf + 1427 5.541 * * [simplify]: Extracting #9: cost 1 inf + 2398 5.541 * * [simplify]: Extracting #10: cost 0 inf + 2681 5.542 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.542 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 1/2))) 5.542 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 5.542 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 5.542 * * [simplify]: iters left: 6 (12 enodes) 5.545 * * [simplify]: iters left: 5 (43 enodes) 5.552 * * [simplify]: iters left: 4 (54 enodes) 5.559 * * [simplify]: Extracting #0: cost 1 inf + 0 5.559 * * [simplify]: Extracting #1: cost 4 inf + 0 5.559 * * [simplify]: Extracting #2: cost 10 inf + 0 5.559 * * [simplify]: Extracting #3: cost 14 inf + 1 5.559 * * [simplify]: Extracting #4: cost 15 inf + 2 5.559 * * [simplify]: Extracting #5: cost 16 inf + 86 5.559 * * [simplify]: Extracting #6: cost 18 inf + 127 5.559 * * [simplify]: Extracting #7: cost 16 inf + 169 5.559 * * [simplify]: Extracting #8: cost 12 inf + 495 5.559 * * [simplify]: Extracting #9: cost 7 inf + 1426 5.560 * * [simplify]: Extracting #10: cost 4 inf + 2155 5.560 * * [simplify]: Extracting #11: cost 1 inf + 3004 5.561 * * [simplify]: Extracting #12: cost 0 inf + 3327 5.562 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 5.562 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 1))) 5.562 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 5.562 * [simplify]: Simplifying (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 5.562 * * [simplify]: iters left: 6 (10 enodes) 5.566 * * [simplify]: iters left: 5 (46 enodes) 5.585 * * [simplify]: iters left: 4 (115 enodes) 5.620 * * [simplify]: iters left: 3 (328 enodes) 5.795 * * [simplify]: Extracting #0: cost 1 inf + 0 5.795 * * [simplify]: Extracting #1: cost 26 inf + 0 5.795 * * [simplify]: Extracting #2: cost 70 inf + 1 5.795 * * [simplify]: Extracting #3: cost 85 inf + 166 5.796 * * [simplify]: Extracting #4: cost 79 inf + 700 5.797 * * [simplify]: Extracting #5: cost 57 inf + 4554 5.801 * * [simplify]: Extracting #6: cost 15 inf + 16907 5.807 * * [simplify]: Extracting #7: cost 0 inf + 21866 5.813 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 5.813 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (/ 1/2 2)))) 5.813 * [simplify]: Simplifying (/ 1/2 2) 5.813 * * [simplify]: iters left: 2 (3 enodes) 5.816 * * [simplify]: iters left: 1 (10 enodes) 5.817 * * [simplify]: Extracting #0: cost 1 inf + 0 5.817 * * [simplify]: Extracting #1: cost 0 inf + 1 5.817 * [simplify]: Simplified to 1/4 5.818 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/4))) 5.818 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 5.818 * [simplify]: Simplifying (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 5.818 * * [simplify]: iters left: 6 (11 enodes) 5.821 * * [simplify]: iters left: 5 (40 enodes) 5.827 * * [simplify]: iters left: 4 (51 enodes) 5.833 * * [simplify]: Extracting #0: cost 1 inf + 0 5.833 * * [simplify]: Extracting #1: cost 7 inf + 0 5.833 * * [simplify]: Extracting #2: cost 12 inf + 1 5.834 * * [simplify]: Extracting #3: cost 12 inf + 44 5.834 * * [simplify]: Extracting #4: cost 14 inf + 86 5.834 * * [simplify]: Extracting #5: cost 16 inf + 127 5.834 * * [simplify]: Extracting #6: cost 14 inf + 169 5.834 * * [simplify]: Extracting #7: cost 11 inf + 373 5.834 * * [simplify]: Extracting #8: cost 5 inf + 1427 5.835 * * [simplify]: Extracting #9: cost 1 inf + 2398 5.835 * * [simplify]: Extracting #10: cost 0 inf + 2681 5.836 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.836 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 5.836 * [simplify]: Simplifying (/ 1 2) 5.836 * * [simplify]: iters left: 2 (3 enodes) 5.838 * * [simplify]: iters left: 1 (12 enodes) 5.840 * * [simplify]: Extracting #0: cost 1 inf + 0 5.840 * * [simplify]: Extracting #1: cost 0 inf + 1 5.840 * [simplify]: Simplified to 1/2 5.840 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 1/2))) 5.841 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 5.841 * [simplify]: Simplifying (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 5.841 * * [simplify]: iters left: 6 (10 enodes) 5.844 * * [simplify]: iters left: 5 (46 enodes) 5.853 * * [simplify]: iters left: 4 (115 enodes) 6.268 * * [simplify]: iters left: 3 (328 enodes) 6.428 * * [simplify]: Extracting #0: cost 1 inf + 0 6.428 * * [simplify]: Extracting #1: cost 26 inf + 0 6.428 * * [simplify]: Extracting #2: cost 70 inf + 1 6.429 * * [simplify]: Extracting #3: cost 85 inf + 166 6.430 * * [simplify]: Extracting #4: cost 79 inf + 700 6.432 * * [simplify]: Extracting #5: cost 57 inf + 4554 6.439 * * [simplify]: Extracting #6: cost 15 inf + 16907 6.451 * * [simplify]: Extracting #7: cost 0 inf + 21866 6.457 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 6.457 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (/ (/ 1 2) 2)))) 6.457 * [simplify]: Simplifying (/ (/ 1 2) 2) 6.457 * * [simplify]: iters left: 4 (4 enodes) 6.461 * * [simplify]: iters left: 3 (19 enodes) 6.464 * * [simplify]: iters left: 2 (23 enodes) 6.468 * * [simplify]: Extracting #0: cost 1 inf + 0 6.468 * * [simplify]: Extracting #1: cost 0 inf + 1 6.468 * [simplify]: Simplified to 1/4 6.468 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/4))) 6.468 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 6.469 * [simplify]: Simplifying (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 6.469 * * [simplify]: iters left: 6 (10 enodes) 6.472 * * [simplify]: iters left: 5 (46 enodes) 6.481 * * [simplify]: iters left: 4 (115 enodes) 6.540 * * [simplify]: iters left: 3 (328 enodes) 6.699 * * [simplify]: Extracting #0: cost 1 inf + 0 6.699 * * [simplify]: Extracting #1: cost 26 inf + 0 6.699 * * [simplify]: Extracting #2: cost 70 inf + 1 6.700 * * [simplify]: Extracting #3: cost 85 inf + 166 6.701 * * [simplify]: Extracting #4: cost 79 inf + 700 6.703 * * [simplify]: Extracting #5: cost 57 inf + 4554 6.711 * * [simplify]: Extracting #6: cost 15 inf + 16907 6.721 * * [simplify]: Extracting #7: cost 0 inf + 21866 6.726 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 6.727 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (/ (/ 1 2) 2)))) 6.727 * [simplify]: Simplifying (/ (/ 1 2) 2) 6.727 * * [simplify]: iters left: 4 (4 enodes) 6.730 * * [simplify]: iters left: 3 (19 enodes) 6.734 * * [simplify]: iters left: 2 (23 enodes) 6.737 * * [simplify]: Extracting #0: cost 1 inf + 0 6.737 * * [simplify]: Extracting #1: cost 0 inf + 1 6.737 * [simplify]: Simplified to 1/4 6.737 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/4))) 6.738 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 6.738 * [simplify]: Simplifying (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 6.738 * * [simplify]: iters left: 6 (10 enodes) 6.741 * * [simplify]: iters left: 5 (46 enodes) 6.751 * * [simplify]: iters left: 4 (115 enodes) 6.807 * * [simplify]: iters left: 3 (328 enodes) 6.965 * * [simplify]: Extracting #0: cost 1 inf + 0 6.966 * * [simplify]: Extracting #1: cost 26 inf + 0 6.966 * * [simplify]: Extracting #2: cost 70 inf + 1 6.966 * * [simplify]: Extracting #3: cost 85 inf + 166 6.967 * * [simplify]: Extracting #4: cost 79 inf + 700 6.968 * * [simplify]: Extracting #5: cost 57 inf + 4554 6.973 * * [simplify]: Extracting #6: cost 15 inf + 16907 6.979 * * [simplify]: Extracting #7: cost 0 inf + 21866 6.985 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 6.986 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (/ (/ 1 2) 2)))) 6.986 * [simplify]: Simplifying (/ (/ 1 2) 2) 6.986 * * [simplify]: iters left: 4 (4 enodes) 6.991 * * [simplify]: iters left: 3 (19 enodes) 6.998 * * [simplify]: iters left: 2 (23 enodes) 7.005 * * [simplify]: Extracting #0: cost 1 inf + 0 7.005 * * [simplify]: Extracting #1: cost 0 inf + 1 7.005 * [simplify]: Simplified to 1/4 7.006 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/4))) 7.006 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 7.006 * [simplify]: Simplifying (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 7.006 * * [simplify]: iters left: 6 (10 enodes) 7.012 * * [simplify]: iters left: 5 (46 enodes) 7.031 * * [simplify]: iters left: 4 (115 enodes) 7.064 * * [simplify]: iters left: 3 (328 enodes) 7.204 * * [simplify]: Extracting #0: cost 1 inf + 0 7.204 * * [simplify]: Extracting #1: cost 26 inf + 0 7.204 * * [simplify]: Extracting #2: cost 70 inf + 1 7.204 * * [simplify]: Extracting #3: cost 85 inf + 166 7.205 * * [simplify]: Extracting #4: cost 79 inf + 700 7.206 * * [simplify]: Extracting #5: cost 57 inf + 4554 7.210 * * [simplify]: Extracting #6: cost 15 inf + 16907 7.215 * * [simplify]: Extracting #7: cost 0 inf + 21866 7.226 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 7.226 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (/ (/ 1 2) 2)))) 7.226 * [simplify]: Simplifying (/ (/ 1 2) 2) 7.226 * * [simplify]: iters left: 4 (4 enodes) 7.231 * * [simplify]: iters left: 3 (19 enodes) 7.238 * * [simplify]: iters left: 2 (23 enodes) 7.244 * * [simplify]: Extracting #0: cost 1 inf + 0 7.244 * * [simplify]: Extracting #1: cost 0 inf + 1 7.244 * [simplify]: Simplified to 1/4 7.245 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/4))) 7.245 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 7.245 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 7.245 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 7.245 * * [simplify]: iters left: 6 (11 enodes) 7.251 * * [simplify]: iters left: 5 (42 enodes) 7.264 * * [simplify]: iters left: 4 (52 enodes) 7.277 * * [simplify]: Extracting #0: cost 1 inf + 0 7.277 * * [simplify]: Extracting #1: cost 3 inf + 0 7.277 * * [simplify]: Extracting #2: cost 5 inf + 0 7.277 * * [simplify]: Extracting #3: cost 10 inf + 0 7.277 * * [simplify]: Extracting #4: cost 14 inf + 1 7.277 * * [simplify]: Extracting #5: cost 14 inf + 44 7.277 * * [simplify]: Extracting #6: cost 16 inf + 86 7.278 * * [simplify]: Extracting #7: cost 18 inf + 127 7.278 * * [simplify]: Extracting #8: cost 16 inf + 169 7.278 * * [simplify]: Extracting #9: cost 13 inf + 373 7.279 * * [simplify]: Extracting #10: cost 8 inf + 1224 7.280 * * [simplify]: Extracting #11: cost 3 inf + 2398 7.281 * * [simplify]: Extracting #12: cost 0 inf + 3327 7.282 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 7.282 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (+ 1 1)))) 7.282 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 7.282 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 7.283 * [simplify]: Simplifying (+ (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 7.283 * * [simplify]: iters left: 6 (13 enodes) 7.289 * * [simplify]: iters left: 5 (48 enodes) 7.300 * * [simplify]: iters left: 4 (58 enodes) 7.307 * * [simplify]: Extracting #0: cost 1 inf + 0 7.307 * * [simplify]: Extracting #1: cost 3 inf + 0 7.307 * * [simplify]: Extracting #2: cost 5 inf + 0 7.307 * * [simplify]: Extracting #3: cost 7 inf + 0 7.307 * * [simplify]: Extracting #4: cost 9 inf + 0 7.307 * * [simplify]: Extracting #5: cost 14 inf + 0 7.307 * * [simplify]: Extracting #6: cost 18 inf + 1 7.307 * * [simplify]: Extracting #7: cost 19 inf + 2 7.308 * * [simplify]: Extracting #8: cost 20 inf + 86 7.308 * * [simplify]: Extracting #9: cost 22 inf + 127 7.308 * * [simplify]: Extracting #10: cost 17 inf + 373 7.308 * * [simplify]: Extracting #11: cost 8 inf + 2196 7.309 * * [simplify]: Extracting #12: cost 1 inf + 4586 7.310 * * [simplify]: Extracting #13: cost 0 inf + 4979 7.311 * [simplify]: Simplified to (+ (log (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (log (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 7.311 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (log (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))))) 7.311 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 7.311 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 7.311 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 7.311 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 7.311 * * [simplify]: iters left: 6 (14 enodes) 7.315 * * [simplify]: iters left: 5 (56 enodes) 7.325 * * [simplify]: iters left: 4 (78 enodes) 7.349 * * [simplify]: iters left: 3 (122 enodes) 7.382 * * [simplify]: iters left: 2 (264 enodes) 7.462 * * [simplify]: iters left: 1 (461 enodes) 7.625 * * [simplify]: Extracting #0: cost 1 inf + 0 7.625 * * [simplify]: Extracting #1: cost 41 inf + 0 7.626 * * [simplify]: Extracting #2: cost 167 inf + 4 7.628 * * [simplify]: Extracting #3: cost 197 inf + 53 7.629 * * [simplify]: Extracting #4: cost 197 inf + 98 7.631 * * [simplify]: Extracting #5: cost 198 inf + 140 7.638 * * [simplify]: Extracting #6: cost 187 inf + 1520 7.646 * * [simplify]: Extracting #7: cost 132 inf + 22434 7.673 * * [simplify]: Extracting #8: cost 16 inf + 81668 7.708 * * [simplify]: Extracting #9: cost 0 inf + 92216 7.745 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 7.745 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 7.745 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 7.745 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 7.745 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 7.745 * [simplify]: Simplifying (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 7.746 * * [simplify]: iters left: 6 (11 enodes) 7.752 * * [simplify]: iters left: 5 (40 enodes) 7.764 * * [simplify]: iters left: 4 (51 enodes) 7.777 * * [simplify]: Extracting #0: cost 1 inf + 0 7.777 * * [simplify]: Extracting #1: cost 7 inf + 0 7.777 * * [simplify]: Extracting #2: cost 12 inf + 1 7.777 * * [simplify]: Extracting #3: cost 12 inf + 44 7.777 * * [simplify]: Extracting #4: cost 14 inf + 86 7.777 * * [simplify]: Extracting #5: cost 16 inf + 127 7.777 * * [simplify]: Extracting #6: cost 14 inf + 169 7.778 * * [simplify]: Extracting #7: cost 11 inf + 373 7.778 * * [simplify]: Extracting #8: cost 5 inf + 1427 7.779 * * [simplify]: Extracting #9: cost 1 inf + 2398 7.780 * * [simplify]: Extracting #10: cost 0 inf + 2681 7.781 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 7.781 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 7.781 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 7.782 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 7.782 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 7.782 * * [simplify]: iters left: 6 (9 enodes) 7.787 * * [simplify]: iters left: 5 (36 enodes) 7.798 * * [simplify]: iters left: 4 (46 enodes) 7.810 * * [simplify]: Extracting #0: cost 1 inf + 0 7.810 * * [simplify]: Extracting #1: cost 6 inf + 0 7.810 * * [simplify]: Extracting #2: cost 10 inf + 1 7.810 * * [simplify]: Extracting #3: cost 10 inf + 44 7.810 * * [simplify]: Extracting #4: cost 12 inf + 86 7.810 * * [simplify]: Extracting #5: cost 14 inf + 127 7.813 * * [simplify]: Extracting #6: cost 12 inf + 169 7.813 * * [simplify]: Extracting #7: cost 8 inf + 495 7.813 * * [simplify]: Extracting #8: cost 3 inf + 1467 7.814 * * [simplify]: Extracting #9: cost 0 inf + 2115 7.815 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 7.815 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 7.815 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 7.816 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))) 7.816 * * [simplify]: iters left: 6 (15 enodes) 7.824 * * [simplify]: iters left: 5 (64 enodes) 7.850 * * [simplify]: iters left: 4 (114 enodes) 7.893 * * [simplify]: iters left: 3 (216 enodes) 7.953 * * [simplify]: iters left: 2 (449 enodes) 8.117 * * [simplify]: Extracting #0: cost 1 inf + 0 8.117 * * [simplify]: Extracting #1: cost 4 inf + 0 8.118 * * [simplify]: Extracting #2: cost 16 inf + 0 8.118 * * [simplify]: Extracting #3: cost 104 inf + 1 8.120 * * [simplify]: Extracting #4: cost 194 inf + 897 8.130 * * [simplify]: Extracting #5: cost 118 inf + 19695 8.146 * * [simplify]: Extracting #6: cost 35 inf + 57635 8.169 * * [simplify]: Extracting #7: cost 0 inf + 79388 8.191 * * [simplify]: Extracting #8: cost 0 inf + 79148 8.213 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 8.213 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (* (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))) 8.214 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))) 8.214 * * [simplify]: iters left: 6 (13 enodes) 8.221 * * [simplify]: iters left: 5 (44 enodes) 8.235 * * [simplify]: iters left: 4 (77 enodes) 8.255 * * [simplify]: iters left: 3 (123 enodes) 8.276 * * [simplify]: iters left: 2 (183 enodes) 8.328 * * [simplify]: iters left: 1 (249 enodes) 8.406 * * [simplify]: Extracting #0: cost 1 inf + 0 8.406 * * [simplify]: Extracting #1: cost 4 inf + 0 8.407 * * [simplify]: Extracting #2: cost 28 inf + 0 8.407 * * [simplify]: Extracting #3: cost 66 inf + 0 8.408 * * [simplify]: Extracting #4: cost 69 inf + 288 8.409 * * [simplify]: Extracting #5: cost 49 inf + 2314 8.412 * * [simplify]: Extracting #6: cost 32 inf + 6027 8.418 * * [simplify]: Extracting #7: cost 3 inf + 13365 8.423 * * [simplify]: Extracting #8: cost 0 inf + 14291 8.427 * [simplify]: Simplified to (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (- re (sqrt (+ (* re re) (* im im))))))) 8.427 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (- re (sqrt (+ (* re re) (* im im)))))))))) 8.427 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 8.427 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))))) 8.428 * * [simplify]: iters left: 6 (20 enodes) 8.434 * * [simplify]: iters left: 5 (85 enodes) 8.453 * * [simplify]: iters left: 4 (180 enodes) 8.503 * * [simplify]: iters left: 3 (411 enodes) 8.637 * * [simplify]: Extracting #0: cost 1 inf + 0 8.637 * * [simplify]: Extracting #1: cost 4 inf + 0 8.637 * * [simplify]: Extracting #2: cost 8 inf + 0 8.637 * * [simplify]: Extracting #3: cost 12 inf + 0 8.637 * * [simplify]: Extracting #4: cost 59 inf + 0 8.638 * * [simplify]: Extracting #5: cost 157 inf + 126 8.639 * * [simplify]: Extracting #6: cost 199 inf + 1848 8.641 * * [simplify]: Extracting #7: cost 164 inf + 5959 8.647 * * [simplify]: Extracting #8: cost 115 inf + 19308 8.657 * * [simplify]: Extracting #9: cost 11 inf + 53003 8.668 * * [simplify]: Extracting #10: cost 0 inf + 57743 8.685 * [simplify]: Simplified to (* (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))))) 8.686 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))))) (* (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 8.686 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 8.687 * * [simplify]: iters left: 6 (16 enodes) 8.694 * * [simplify]: iters left: 5 (58 enodes) 8.712 * * [simplify]: iters left: 4 (92 enodes) 8.741 * * [simplify]: iters left: 3 (135 enodes) 8.765 * * [simplify]: iters left: 2 (189 enodes) 8.820 * * [simplify]: iters left: 1 (259 enodes) 8.879 * * [simplify]: Extracting #0: cost 1 inf + 0 8.879 * * [simplify]: Extracting #1: cost 4 inf + 0 8.879 * * [simplify]: Extracting #2: cost 8 inf + 0 8.879 * * [simplify]: Extracting #3: cost 12 inf + 0 8.879 * * [simplify]: Extracting #4: cost 39 inf + 0 8.880 * * [simplify]: Extracting #5: cost 69 inf + 164 8.880 * * [simplify]: Extracting #6: cost 64 inf + 1140 8.881 * * [simplify]: Extracting #7: cost 41 inf + 5261 8.885 * * [simplify]: Extracting #8: cost 5 inf + 15172 8.891 * * [simplify]: Extracting #9: cost 0 inf + 16262 8.899 * [simplify]: Simplified to (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))))) 8.899 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))))) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))))))))) 8.900 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 8.900 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))) 8.900 * * [simplify]: iters left: 6 (20 enodes) 8.912 * * [simplify]: iters left: 5 (85 enodes) 8.929 * * [simplify]: iters left: 4 (180 enodes) 8.998 * * [simplify]: iters left: 3 (411 enodes) 9.141 * * [simplify]: Extracting #0: cost 1 inf + 0 9.141 * * [simplify]: Extracting #1: cost 4 inf + 0 9.141 * * [simplify]: Extracting #2: cost 8 inf + 0 9.141 * * [simplify]: Extracting #3: cost 12 inf + 0 9.142 * * [simplify]: Extracting #4: cost 56 inf + 0 9.142 * * [simplify]: Extracting #5: cost 152 inf + 126 9.145 * * [simplify]: Extracting #6: cost 190 inf + 2622 9.148 * * [simplify]: Extracting #7: cost 146 inf + 9676 9.159 * * [simplify]: Extracting #8: cost 47 inf + 38425 9.169 * * [simplify]: Extracting #9: cost 3 inf + 54719 9.183 * * [simplify]: Extracting #10: cost 0 inf + 56290 9.203 * [simplify]: Simplified to (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)) 2.0)))) 9.204 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)) 2.0)))) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))) 9.204 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))) 9.205 * * [simplify]: iters left: 6 (16 enodes) 9.212 * * [simplify]: iters left: 5 (58 enodes) 9.229 * * [simplify]: iters left: 4 (92 enodes) 9.259 * * [simplify]: iters left: 3 (135 enodes) 9.284 * * [simplify]: iters left: 2 (189 enodes) 9.339 * * [simplify]: iters left: 1 (260 enodes) 9.419 * * [simplify]: Extracting #0: cost 1 inf + 0 9.419 * * [simplify]: Extracting #1: cost 4 inf + 0 9.419 * * [simplify]: Extracting #2: cost 8 inf + 0 9.419 * * [simplify]: Extracting #3: cost 12 inf + 0 9.419 * * [simplify]: Extracting #4: cost 39 inf + 0 9.419 * * [simplify]: Extracting #5: cost 68 inf + 245 9.420 * * [simplify]: Extracting #6: cost 63 inf + 1301 9.421 * * [simplify]: Extracting #7: cost 39 inf + 5625 9.424 * * [simplify]: Extracting #8: cost 3 inf + 15456 9.428 * * [simplify]: Extracting #9: cost 0 inf + 16262 9.433 * [simplify]: Simplified to (* (sqrt (sqrt (+ (- (+ (* re re) (* im im)) (* (sqrt (+ (* re re) (* im im))) re)) (* re re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 9.433 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)) 2.0)))) (* (sqrt (sqrt (+ (- (+ (* re re) (* im im)) (* (sqrt (+ (* re re) (* im im))) re)) (* re re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 9.433 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 9.433 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))))) 9.433 * * [simplify]: iters left: 6 (13 enodes) 9.437 * * [simplify]: iters left: 5 (42 enodes) 9.447 * * [simplify]: iters left: 4 (75 enodes) 9.464 * * [simplify]: iters left: 3 (166 enodes) 9.527 * * [simplify]: iters left: 2 (394 enodes) 9.755 * * [simplify]: Extracting #0: cost 1 inf + 0 9.756 * * [simplify]: Extracting #1: cost 4 inf + 0 9.756 * * [simplify]: Extracting #2: cost 66 inf + 0 9.757 * * [simplify]: Extracting #3: cost 174 inf + 44 9.759 * * [simplify]: Extracting #4: cost 211 inf + 1644 9.764 * * [simplify]: Extracting #5: cost 149 inf + 11262 9.788 * * [simplify]: Extracting #6: cost 8 inf + 52061 9.802 * * [simplify]: Extracting #7: cost 0 inf + 54719 9.816 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 9.816 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 9.816 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 9.817 * * [simplify]: iters left: 6 (10 enodes) 9.819 * * [simplify]: iters left: 5 (31 enodes) 9.828 * * [simplify]: iters left: 4 (35 enodes) 9.837 * * [simplify]: Extracting #0: cost 1 inf + 0 9.837 * * [simplify]: Extracting #1: cost 4 inf + 0 9.837 * * [simplify]: Extracting #2: cost 9 inf + 0 9.837 * * [simplify]: Extracting #3: cost 11 inf + 1 9.837 * * [simplify]: Extracting #4: cost 13 inf + 42 9.837 * * [simplify]: Extracting #5: cost 14 inf + 124 9.838 * * [simplify]: Extracting #6: cost 11 inf + 207 9.838 * * [simplify]: Extracting #7: cost 7 inf + 654 9.838 * * [simplify]: Extracting #8: cost 2 inf + 1704 9.839 * * [simplify]: Extracting #9: cost 0 inf + 2268 9.840 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 9.840 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 9.840 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 9.840 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 9.841 * [simplify]: Simplifying (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 9.841 * * [simplify]: iters left: 6 (14 enodes) 9.848 * * [simplify]: iters left: 5 (55 enodes) 9.865 * * [simplify]: iters left: 4 (69 enodes) 9.884 * * [simplify]: iters left: 3 (80 enodes) 9.908 * * [simplify]: iters left: 2 (104 enodes) 9.946 * * [simplify]: iters left: 1 (152 enodes) 9.999 * * [simplify]: Extracting #0: cost 1 inf + 0 9.999 * * [simplify]: Extracting #1: cost 13 inf + 0 9.999 * * [simplify]: Extracting #2: cost 40 inf + 1 10.000 * * [simplify]: Extracting #3: cost 40 inf + 7 10.000 * * [simplify]: Extracting #4: cost 44 inf + 9 10.000 * * [simplify]: Extracting #5: cost 47 inf + 11 10.001 * * [simplify]: Extracting #6: cost 48 inf + 12 10.001 * * [simplify]: Extracting #7: cost 49 inf + 96 10.002 * * [simplify]: Extracting #8: cost 51 inf + 137 10.002 * * [simplify]: Extracting #9: cost 44 inf + 667 10.003 * * [simplify]: Extracting #10: cost 39 inf + 1760 10.004 * * [simplify]: Extracting #11: cost 34 inf + 3014 10.008 * * [simplify]: Extracting #12: cost 20 inf + 10675 10.015 * * [simplify]: Extracting #13: cost 2 inf + 24237 10.023 * * [simplify]: Extracting #14: cost 0 inf + 25967 10.029 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 10.029 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.030 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.030 * * [simplify]: iters left: 6 (13 enodes) 10.033 * * [simplify]: iters left: 5 (48 enodes) 10.040 * * [simplify]: iters left: 4 (58 enodes) 10.050 * * [simplify]: Extracting #0: cost 1 inf + 0 10.050 * * [simplify]: Extracting #1: cost 3 inf + 0 10.050 * * [simplify]: Extracting #2: cost 5 inf + 0 10.050 * * [simplify]: Extracting #3: cost 7 inf + 0 10.050 * * [simplify]: Extracting #4: cost 9 inf + 0 10.050 * * [simplify]: Extracting #5: cost 14 inf + 0 10.050 * * [simplify]: Extracting #6: cost 18 inf + 1 10.050 * * [simplify]: Extracting #7: cost 19 inf + 2 10.050 * * [simplify]: Extracting #8: cost 20 inf + 86 10.051 * * [simplify]: Extracting #9: cost 22 inf + 127 10.051 * * [simplify]: Extracting #10: cost 17 inf + 373 10.051 * * [simplify]: Extracting #11: cost 8 inf + 2196 10.052 * * [simplify]: Extracting #12: cost 1 inf + 4616 10.053 * * [simplify]: Extracting #13: cost 0 inf + 5019 10.053 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 10.053 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))))) 10.054 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 10.054 * [simplify]: Simplifying (* (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 10.054 * * [simplify]: iters left: 6 (14 enodes) 10.059 * * [simplify]: iters left: 5 (50 enodes) 10.073 * * [simplify]: iters left: 4 (61 enodes) 10.080 * * [simplify]: Extracting #0: cost 1 inf + 0 10.080 * * [simplify]: Extracting #1: cost 4 inf + 0 10.080 * * [simplify]: Extracting #2: cost 7 inf + 0 10.080 * * [simplify]: Extracting #3: cost 9 inf + 0 10.080 * * [simplify]: Extracting #4: cost 14 inf + 0 10.080 * * [simplify]: Extracting #5: cost 18 inf + 1 10.080 * * [simplify]: Extracting #6: cost 19 inf + 2 10.080 * * [simplify]: Extracting #7: cost 20 inf + 86 10.080 * * [simplify]: Extracting #8: cost 22 inf + 127 10.080 * * [simplify]: Extracting #9: cost 18 inf + 332 10.081 * * [simplify]: Extracting #10: cost 8 inf + 2155 10.081 * * [simplify]: Extracting #11: cost 2 inf + 4213 10.082 * * [simplify]: Extracting #12: cost 0 inf + 5019 10.083 * [simplify]: Simplified to (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 10.083 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.083 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.084 * * [simplify]: iters left: 6 (13 enodes) 10.087 * * [simplify]: iters left: 5 (46 enodes) 10.094 * * [simplify]: iters left: 4 (57 enodes) 10.101 * * [simplify]: Extracting #0: cost 1 inf + 0 10.101 * * [simplify]: Extracting #1: cost 4 inf + 0 10.101 * * [simplify]: Extracting #2: cost 7 inf + 0 10.101 * * [simplify]: Extracting #3: cost 12 inf + 0 10.101 * * [simplify]: Extracting #4: cost 16 inf + 1 10.101 * * [simplify]: Extracting #5: cost 17 inf + 2 10.101 * * [simplify]: Extracting #6: cost 19 inf + 44 10.101 * * [simplify]: Extracting #7: cost 20 inf + 127 10.102 * * [simplify]: Extracting #8: cost 15 inf + 373 10.102 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.103 * * [simplify]: Extracting #10: cost 3 inf + 3044 10.105 * * [simplify]: Extracting #11: cost 0 inf + 4213 10.106 * [simplify]: Simplified to (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.106 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.107 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 10.107 * [simplify]: Simplifying (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) 10.107 * * [simplify]: iters left: 4 (4 enodes) 10.110 * * [simplify]: iters left: 3 (10 enodes) 10.114 * * [simplify]: iters left: 2 (11 enodes) 10.116 * * [simplify]: Extracting #0: cost 1 inf + 0 10.116 * * [simplify]: Extracting #1: cost 4 inf + 0 10.117 * * [simplify]: Extracting #2: cost 4 inf + 1 10.117 * * [simplify]: Extracting #3: cost 2 inf + 83 10.117 * * [simplify]: Extracting #4: cost 0 inf + 245 10.117 * [simplify]: Simplified to (sqrt 2.0) 10.117 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 10.117 * [simplify]: Simplifying (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 10.117 * * [simplify]: iters left: 6 (10 enodes) 10.119 * * [simplify]: iters left: 5 (30 enodes) 10.123 * * [simplify]: iters left: 4 (31 enodes) 10.127 * * [simplify]: Extracting #0: cost 1 inf + 0 10.127 * * [simplify]: Extracting #1: cost 4 inf + 0 10.127 * * [simplify]: Extracting #2: cost 8 inf + 0 10.127 * * [simplify]: Extracting #3: cost 9 inf + 1 10.127 * * [simplify]: Extracting #4: cost 12 inf + 1 10.127 * * [simplify]: Extracting #5: cost 14 inf + 42 10.127 * * [simplify]: Extracting #6: cost 11 inf + 125 10.127 * * [simplify]: Extracting #7: cost 7 inf + 572 10.128 * * [simplify]: Extracting #8: cost 3 inf + 1380 10.128 * * [simplify]: Extracting #9: cost 0 inf + 2186 10.128 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 10.128 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 10.129 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 10.129 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.129 * * [simplify]: iters left: 6 (13 enodes) 10.132 * * [simplify]: iters left: 5 (46 enodes) 10.139 * * [simplify]: iters left: 4 (57 enodes) 10.151 * * [simplify]: Extracting #0: cost 1 inf + 0 10.151 * * [simplify]: Extracting #1: cost 4 inf + 0 10.151 * * [simplify]: Extracting #2: cost 7 inf + 0 10.151 * * [simplify]: Extracting #3: cost 12 inf + 0 10.152 * * [simplify]: Extracting #4: cost 16 inf + 1 10.152 * * [simplify]: Extracting #5: cost 17 inf + 2 10.152 * * [simplify]: Extracting #6: cost 19 inf + 44 10.152 * * [simplify]: Extracting #7: cost 20 inf + 127 10.152 * * [simplify]: Extracting #8: cost 15 inf + 373 10.153 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.154 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.156 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.156 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.156 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.157 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.157 * * [simplify]: iters left: 6 (13 enodes) 10.160 * * [simplify]: iters left: 5 (46 enodes) 10.167 * * [simplify]: iters left: 4 (57 enodes) 10.174 * * [simplify]: Extracting #0: cost 1 inf + 0 10.174 * * [simplify]: Extracting #1: cost 4 inf + 0 10.174 * * [simplify]: Extracting #2: cost 7 inf + 0 10.174 * * [simplify]: Extracting #3: cost 12 inf + 0 10.174 * * [simplify]: Extracting #4: cost 16 inf + 1 10.174 * * [simplify]: Extracting #5: cost 17 inf + 2 10.174 * * [simplify]: Extracting #6: cost 19 inf + 44 10.174 * * [simplify]: Extracting #7: cost 20 inf + 127 10.174 * * [simplify]: Extracting #8: cost 15 inf + 373 10.175 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.175 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.176 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.177 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.177 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.177 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 10.177 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.177 * * [simplify]: iters left: 6 (13 enodes) 10.180 * * [simplify]: iters left: 5 (46 enodes) 10.190 * * [simplify]: iters left: 4 (57 enodes) 10.202 * * [simplify]: Extracting #0: cost 1 inf + 0 10.202 * * [simplify]: Extracting #1: cost 4 inf + 0 10.202 * * [simplify]: Extracting #2: cost 7 inf + 0 10.202 * * [simplify]: Extracting #3: cost 12 inf + 0 10.202 * * [simplify]: Extracting #4: cost 16 inf + 1 10.202 * * [simplify]: Extracting #5: cost 17 inf + 2 10.202 * * [simplify]: Extracting #6: cost 19 inf + 44 10.202 * * [simplify]: Extracting #7: cost 20 inf + 127 10.202 * * [simplify]: Extracting #8: cost 15 inf + 373 10.203 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.203 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.204 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.205 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.205 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.205 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.205 * * [simplify]: iters left: 6 (13 enodes) 10.208 * * [simplify]: iters left: 5 (46 enodes) 10.215 * * [simplify]: iters left: 4 (57 enodes) 10.222 * * [simplify]: Extracting #0: cost 1 inf + 0 10.222 * * [simplify]: Extracting #1: cost 4 inf + 0 10.222 * * [simplify]: Extracting #2: cost 7 inf + 0 10.222 * * [simplify]: Extracting #3: cost 12 inf + 0 10.222 * * [simplify]: Extracting #4: cost 16 inf + 1 10.222 * * [simplify]: Extracting #5: cost 17 inf + 2 10.222 * * [simplify]: Extracting #6: cost 19 inf + 44 10.222 * * [simplify]: Extracting #7: cost 20 inf + 127 10.222 * * [simplify]: Extracting #8: cost 15 inf + 373 10.223 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.223 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.224 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.225 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.225 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.225 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 10.225 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.225 * * [simplify]: iters left: 3 (3 enodes) 10.227 * * [simplify]: iters left: 2 (9 enodes) 10.230 * * [simplify]: iters left: 1 (11 enodes) 10.233 * * [simplify]: Extracting #0: cost 1 inf + 0 10.233 * * [simplify]: Extracting #1: cost 0 inf + 1 10.233 * [simplify]: Simplified to 1 10.233 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 10.233 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 10.233 * * [simplify]: iters left: 6 (12 enodes) 10.241 * * [simplify]: iters left: 5 (43 enodes) 10.249 * * [simplify]: iters left: 4 (54 enodes) 10.255 * * [simplify]: Extracting #0: cost 1 inf + 0 10.255 * * [simplify]: Extracting #1: cost 4 inf + 0 10.255 * * [simplify]: Extracting #2: cost 10 inf + 0 10.255 * * [simplify]: Extracting #3: cost 14 inf + 1 10.256 * * [simplify]: Extracting #4: cost 15 inf + 2 10.256 * * [simplify]: Extracting #5: cost 16 inf + 86 10.256 * * [simplify]: Extracting #6: cost 18 inf + 127 10.256 * * [simplify]: Extracting #7: cost 16 inf + 169 10.256 * * [simplify]: Extracting #8: cost 12 inf + 495 10.256 * * [simplify]: Extracting #9: cost 7 inf + 1426 10.257 * * [simplify]: Extracting #10: cost 4 inf + 2155 10.257 * * [simplify]: Extracting #11: cost 1 inf + 3004 10.258 * * [simplify]: Extracting #12: cost 0 inf + 3327 10.259 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 10.259 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 10.259 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 10.259 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.259 * * [simplify]: iters left: 6 (13 enodes) 10.262 * * [simplify]: iters left: 5 (46 enodes) 10.269 * * [simplify]: iters left: 4 (57 enodes) 10.280 * * [simplify]: Extracting #0: cost 1 inf + 0 10.280 * * [simplify]: Extracting #1: cost 4 inf + 0 10.280 * * [simplify]: Extracting #2: cost 7 inf + 0 10.281 * * [simplify]: Extracting #3: cost 12 inf + 0 10.281 * * [simplify]: Extracting #4: cost 16 inf + 1 10.281 * * [simplify]: Extracting #5: cost 17 inf + 2 10.281 * * [simplify]: Extracting #6: cost 19 inf + 44 10.281 * * [simplify]: Extracting #7: cost 20 inf + 127 10.281 * * [simplify]: Extracting #8: cost 15 inf + 373 10.282 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.283 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.284 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.286 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.286 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.286 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.287 * * [simplify]: iters left: 6 (13 enodes) 10.290 * * [simplify]: iters left: 5 (46 enodes) 10.297 * * [simplify]: iters left: 4 (57 enodes) 10.304 * * [simplify]: Extracting #0: cost 1 inf + 0 10.304 * * [simplify]: Extracting #1: cost 4 inf + 0 10.304 * * [simplify]: Extracting #2: cost 7 inf + 0 10.304 * * [simplify]: Extracting #3: cost 12 inf + 0 10.304 * * [simplify]: Extracting #4: cost 16 inf + 1 10.304 * * [simplify]: Extracting #5: cost 17 inf + 2 10.304 * * [simplify]: Extracting #6: cost 19 inf + 44 10.304 * * [simplify]: Extracting #7: cost 20 inf + 127 10.304 * * [simplify]: Extracting #8: cost 15 inf + 373 10.305 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.305 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.306 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.307 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.307 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.307 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 10.307 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.307 * * [simplify]: iters left: 6 (13 enodes) 10.311 * * [simplify]: iters left: 5 (46 enodes) 10.318 * * [simplify]: iters left: 4 (57 enodes) 10.334 * * [simplify]: Extracting #0: cost 1 inf + 0 10.335 * * [simplify]: Extracting #1: cost 4 inf + 0 10.335 * * [simplify]: Extracting #2: cost 7 inf + 0 10.335 * * [simplify]: Extracting #3: cost 12 inf + 0 10.335 * * [simplify]: Extracting #4: cost 16 inf + 1 10.335 * * [simplify]: Extracting #5: cost 17 inf + 2 10.335 * * [simplify]: Extracting #6: cost 19 inf + 44 10.335 * * [simplify]: Extracting #7: cost 20 inf + 127 10.335 * * [simplify]: Extracting #8: cost 15 inf + 373 10.336 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.337 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.339 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.340 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.340 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.341 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.341 * * [simplify]: iters left: 6 (13 enodes) 10.347 * * [simplify]: iters left: 5 (46 enodes) 10.361 * * [simplify]: iters left: 4 (57 enodes) 10.375 * * [simplify]: Extracting #0: cost 1 inf + 0 10.375 * * [simplify]: Extracting #1: cost 4 inf + 0 10.375 * * [simplify]: Extracting #2: cost 7 inf + 0 10.375 * * [simplify]: Extracting #3: cost 12 inf + 0 10.375 * * [simplify]: Extracting #4: cost 16 inf + 1 10.375 * * [simplify]: Extracting #5: cost 17 inf + 2 10.375 * * [simplify]: Extracting #6: cost 19 inf + 44 10.375 * * [simplify]: Extracting #7: cost 20 inf + 127 10.376 * * [simplify]: Extracting #8: cost 15 inf + 373 10.376 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.377 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.378 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.380 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.380 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.380 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 10.381 * [simplify]: Simplifying (* 1 1) 10.381 * * [simplify]: iters left: 2 (2 enodes) 10.382 * * [simplify]: iters left: 1 (6 enodes) 10.384 * * [simplify]: Extracting #0: cost 1 inf + 0 10.384 * * [simplify]: Extracting #1: cost 0 inf + 1 10.384 * [simplify]: Simplified to 1 10.384 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 10.385 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 10.385 * * [simplify]: iters left: 6 (12 enodes) 10.391 * * [simplify]: iters left: 5 (43 enodes) 10.397 * * [simplify]: iters left: 4 (54 enodes) 10.404 * * [simplify]: Extracting #0: cost 1 inf + 0 10.404 * * [simplify]: Extracting #1: cost 4 inf + 0 10.404 * * [simplify]: Extracting #2: cost 10 inf + 0 10.404 * * [simplify]: Extracting #3: cost 14 inf + 1 10.404 * * [simplify]: Extracting #4: cost 15 inf + 2 10.404 * * [simplify]: Extracting #5: cost 16 inf + 86 10.404 * * [simplify]: Extracting #6: cost 18 inf + 127 10.404 * * [simplify]: Extracting #7: cost 16 inf + 169 10.404 * * [simplify]: Extracting #8: cost 12 inf + 495 10.405 * * [simplify]: Extracting #9: cost 7 inf + 1426 10.405 * * [simplify]: Extracting #10: cost 4 inf + 2155 10.405 * * [simplify]: Extracting #11: cost 1 inf + 3004 10.406 * * [simplify]: Extracting #12: cost 0 inf + 3327 10.407 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 10.407 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 10.407 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 10.407 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.407 * * [simplify]: iters left: 6 (13 enodes) 10.410 * * [simplify]: iters left: 5 (46 enodes) 10.417 * * [simplify]: iters left: 4 (57 enodes) 10.428 * * [simplify]: Extracting #0: cost 1 inf + 0 10.428 * * [simplify]: Extracting #1: cost 4 inf + 0 10.428 * * [simplify]: Extracting #2: cost 7 inf + 0 10.428 * * [simplify]: Extracting #3: cost 12 inf + 0 10.428 * * [simplify]: Extracting #4: cost 16 inf + 1 10.428 * * [simplify]: Extracting #5: cost 17 inf + 2 10.428 * * [simplify]: Extracting #6: cost 19 inf + 44 10.428 * * [simplify]: Extracting #7: cost 20 inf + 127 10.429 * * [simplify]: Extracting #8: cost 15 inf + 373 10.429 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.430 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.432 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.433 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.433 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.434 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.434 * * [simplify]: iters left: 6 (13 enodes) 10.440 * * [simplify]: iters left: 5 (46 enodes) 10.456 * * [simplify]: iters left: 4 (57 enodes) 10.470 * * [simplify]: Extracting #0: cost 1 inf + 0 10.470 * * [simplify]: Extracting #1: cost 4 inf + 0 10.470 * * [simplify]: Extracting #2: cost 7 inf + 0 10.470 * * [simplify]: Extracting #3: cost 12 inf + 0 10.470 * * [simplify]: Extracting #4: cost 16 inf + 1 10.470 * * [simplify]: Extracting #5: cost 17 inf + 2 10.470 * * [simplify]: Extracting #6: cost 19 inf + 44 10.470 * * [simplify]: Extracting #7: cost 20 inf + 127 10.471 * * [simplify]: Extracting #8: cost 15 inf + 373 10.471 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.472 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.474 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.475 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.475 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.475 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 10.476 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.476 * * [simplify]: iters left: 6 (13 enodes) 10.481 * * [simplify]: iters left: 5 (46 enodes) 10.488 * * [simplify]: iters left: 4 (57 enodes) 10.494 * * [simplify]: Extracting #0: cost 1 inf + 0 10.494 * * [simplify]: Extracting #1: cost 4 inf + 0 10.494 * * [simplify]: Extracting #2: cost 7 inf + 0 10.494 * * [simplify]: Extracting #3: cost 12 inf + 0 10.494 * * [simplify]: Extracting #4: cost 16 inf + 1 10.495 * * [simplify]: Extracting #5: cost 17 inf + 2 10.495 * * [simplify]: Extracting #6: cost 19 inf + 44 10.495 * * [simplify]: Extracting #7: cost 20 inf + 127 10.495 * * [simplify]: Extracting #8: cost 15 inf + 373 10.495 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.496 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.496 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.497 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.497 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.497 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.498 * * [simplify]: iters left: 6 (13 enodes) 10.501 * * [simplify]: iters left: 5 (46 enodes) 10.508 * * [simplify]: iters left: 4 (57 enodes) 10.522 * * [simplify]: Extracting #0: cost 1 inf + 0 10.522 * * [simplify]: Extracting #1: cost 4 inf + 0 10.522 * * [simplify]: Extracting #2: cost 7 inf + 0 10.522 * * [simplify]: Extracting #3: cost 12 inf + 0 10.522 * * [simplify]: Extracting #4: cost 16 inf + 1 10.522 * * [simplify]: Extracting #5: cost 17 inf + 2 10.522 * * [simplify]: Extracting #6: cost 19 inf + 44 10.523 * * [simplify]: Extracting #7: cost 20 inf + 127 10.523 * * [simplify]: Extracting #8: cost 15 inf + 373 10.523 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.524 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.526 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.527 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.527 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.527 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 10.528 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.528 * * [simplify]: iters left: 6 (13 enodes) 10.534 * * [simplify]: iters left: 5 (46 enodes) 10.548 * * [simplify]: iters left: 4 (57 enodes) 10.557 * * [simplify]: Extracting #0: cost 1 inf + 0 10.557 * * [simplify]: Extracting #1: cost 4 inf + 0 10.557 * * [simplify]: Extracting #2: cost 7 inf + 0 10.557 * * [simplify]: Extracting #3: cost 12 inf + 0 10.557 * * [simplify]: Extracting #4: cost 16 inf + 1 10.557 * * [simplify]: Extracting #5: cost 17 inf + 2 10.557 * * [simplify]: Extracting #6: cost 19 inf + 44 10.557 * * [simplify]: Extracting #7: cost 20 inf + 127 10.557 * * [simplify]: Extracting #8: cost 15 inf + 373 10.558 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.558 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.559 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.560 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.560 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.560 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.560 * * [simplify]: iters left: 6 (13 enodes) 10.565 * * [simplify]: iters left: 5 (46 enodes) 10.572 * * [simplify]: iters left: 4 (57 enodes) 10.579 * * [simplify]: Extracting #0: cost 1 inf + 0 10.579 * * [simplify]: Extracting #1: cost 4 inf + 0 10.579 * * [simplify]: Extracting #2: cost 7 inf + 0 10.579 * * [simplify]: Extracting #3: cost 12 inf + 0 10.579 * * [simplify]: Extracting #4: cost 16 inf + 1 10.579 * * [simplify]: Extracting #5: cost 17 inf + 2 10.579 * * [simplify]: Extracting #6: cost 19 inf + 44 10.579 * * [simplify]: Extracting #7: cost 20 inf + 127 10.579 * * [simplify]: Extracting #8: cost 15 inf + 373 10.579 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.580 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.581 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.581 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.582 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.582 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 10.582 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.582 * * [simplify]: iters left: 6 (13 enodes) 10.587 * * [simplify]: iters left: 5 (46 enodes) 10.601 * * [simplify]: iters left: 4 (57 enodes) 10.615 * * [simplify]: Extracting #0: cost 1 inf + 0 10.615 * * [simplify]: Extracting #1: cost 4 inf + 0 10.615 * * [simplify]: Extracting #2: cost 7 inf + 0 10.615 * * [simplify]: Extracting #3: cost 12 inf + 0 10.615 * * [simplify]: Extracting #4: cost 16 inf + 1 10.615 * * [simplify]: Extracting #5: cost 17 inf + 2 10.615 * * [simplify]: Extracting #6: cost 19 inf + 44 10.615 * * [simplify]: Extracting #7: cost 20 inf + 127 10.616 * * [simplify]: Extracting #8: cost 15 inf + 373 10.616 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.617 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.619 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.620 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.620 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 10.621 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 10.621 * * [simplify]: iters left: 6 (13 enodes) 10.627 * * [simplify]: iters left: 5 (46 enodes) 10.641 * * [simplify]: iters left: 4 (57 enodes) 10.650 * * [simplify]: Extracting #0: cost 1 inf + 0 10.650 * * [simplify]: Extracting #1: cost 4 inf + 0 10.650 * * [simplify]: Extracting #2: cost 7 inf + 0 10.650 * * [simplify]: Extracting #3: cost 12 inf + 0 10.650 * * [simplify]: Extracting #4: cost 16 inf + 1 10.650 * * [simplify]: Extracting #5: cost 17 inf + 2 10.650 * * [simplify]: Extracting #6: cost 19 inf + 44 10.650 * * [simplify]: Extracting #7: cost 20 inf + 127 10.650 * * [simplify]: Extracting #8: cost 15 inf + 373 10.650 * * [simplify]: Extracting #9: cost 6 inf + 2195 10.651 * * [simplify]: Extracting #10: cost 3 inf + 3004 10.652 * * [simplify]: Extracting #11: cost 0 inf + 4053 10.652 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.653 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 10.653 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 10.653 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 10.653 * * [simplify]: iters left: 6 (10 enodes) 10.656 * * [simplify]: iters left: 5 (39 enodes) 10.662 * * [simplify]: iters left: 4 (49 enodes) 10.668 * * [simplify]: Extracting #0: cost 1 inf + 0 10.668 * * [simplify]: Extracting #1: cost 3 inf + 0 10.668 * * [simplify]: Extracting #2: cost 8 inf + 0 10.668 * * [simplify]: Extracting #3: cost 12 inf + 1 10.668 * * [simplify]: Extracting #4: cost 13 inf + 2 10.668 * * [simplify]: Extracting #5: cost 14 inf + 86 10.668 * * [simplify]: Extracting #6: cost 16 inf + 127 10.668 * * [simplify]: Extracting #7: cost 14 inf + 169 10.668 * * [simplify]: Extracting #8: cost 10 inf + 495 10.668 * * [simplify]: Extracting #9: cost 5 inf + 1426 10.669 * * [simplify]: Extracting #10: cost 1 inf + 2398 10.669 * * [simplify]: Extracting #11: cost 0 inf + 2681 10.671 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 10.671 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (* 2 1/2)))) 10.671 * [simplify]: Simplifying (* 2 1/2) 10.671 * * [simplify]: iters left: 2 (3 enodes) 10.675 * * [simplify]: iters left: 1 (11 enodes) 10.679 * * [simplify]: Extracting #0: cost 1 inf + 0 10.679 * * [simplify]: Extracting #1: cost 0 inf + 1 10.679 * [simplify]: Simplified to 1 10.679 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 10.679 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 10.679 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 10.679 * * [simplify]: iters left: 6 (11 enodes) 10.685 * * [simplify]: iters left: 5 (42 enodes) 10.698 * * [simplify]: iters left: 4 (52 enodes) 10.711 * * [simplify]: Extracting #0: cost 1 inf + 0 10.711 * * [simplify]: Extracting #1: cost 3 inf + 0 10.711 * * [simplify]: Extracting #2: cost 5 inf + 0 10.711 * * [simplify]: Extracting #3: cost 10 inf + 0 10.712 * * [simplify]: Extracting #4: cost 14 inf + 1 10.712 * * [simplify]: Extracting #5: cost 14 inf + 44 10.712 * * [simplify]: Extracting #6: cost 16 inf + 86 10.712 * * [simplify]: Extracting #7: cost 18 inf + 127 10.712 * * [simplify]: Extracting #8: cost 16 inf + 169 10.712 * * [simplify]: Extracting #9: cost 13 inf + 373 10.713 * * [simplify]: Extracting #10: cost 8 inf + 1224 10.714 * * [simplify]: Extracting #11: cost 3 inf + 2398 10.715 * * [simplify]: Extracting #12: cost 0 inf + 3327 10.716 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 10.716 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* 2 1)))) 10.717 * [simplify]: Simplifying (* 2 1) 10.717 * * [simplify]: iters left: 2 (3 enodes) 10.719 * * [simplify]: iters left: 1 (9 enodes) 10.723 * * [simplify]: Extracting #0: cost 1 inf + 0 10.723 * * [simplify]: Extracting #1: cost 0 inf + 1 10.723 * [simplify]: Simplified to 2 10.723 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 2))) 10.723 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 10.723 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 10.723 * * [simplify]: iters left: 6 (9 enodes) 10.728 * * [simplify]: iters left: 5 (36 enodes) 10.734 * * [simplify]: iters left: 4 (46 enodes) 10.740 * * [simplify]: Extracting #0: cost 1 inf + 0 10.740 * * [simplify]: Extracting #1: cost 6 inf + 0 10.740 * * [simplify]: Extracting #2: cost 10 inf + 1 10.740 * * [simplify]: Extracting #3: cost 10 inf + 44 10.740 * * [simplify]: Extracting #4: cost 12 inf + 86 10.740 * * [simplify]: Extracting #5: cost 14 inf + 127 10.740 * * [simplify]: Extracting #6: cost 12 inf + 169 10.740 * * [simplify]: Extracting #7: cost 8 inf + 495 10.741 * * [simplify]: Extracting #8: cost 3 inf + 1467 10.741 * * [simplify]: Extracting #9: cost 0 inf + 2115 10.742 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 10.742 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* 2 (/ 1/2 2))))) 10.742 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 10.742 * * [simplify]: iters left: 4 (4 enodes) 10.745 * * [simplify]: iters left: 3 (17 enodes) 10.748 * * [simplify]: iters left: 2 (21 enodes) 10.751 * * [simplify]: iters left: 1 (23 enodes) 10.754 * * [simplify]: Extracting #0: cost 1 inf + 0 10.754 * * [simplify]: Extracting #1: cost 0 inf + 1 10.754 * [simplify]: Simplified to 1/2 10.754 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 10.754 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 10.755 * [simplify]: Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 10.755 * * [simplify]: iters left: 6 (10 enodes) 10.759 * * [simplify]: iters left: 5 (39 enodes) 10.772 * * [simplify]: iters left: 4 (49 enodes) 10.784 * * [simplify]: Extracting #0: cost 1 inf + 0 10.784 * * [simplify]: Extracting #1: cost 3 inf + 0 10.784 * * [simplify]: Extracting #2: cost 8 inf + 0 10.784 * * [simplify]: Extracting #3: cost 12 inf + 1 10.784 * * [simplify]: Extracting #4: cost 13 inf + 2 10.785 * * [simplify]: Extracting #5: cost 14 inf + 86 10.785 * * [simplify]: Extracting #6: cost 16 inf + 127 10.785 * * [simplify]: Extracting #7: cost 14 inf + 169 10.785 * * [simplify]: Extracting #8: cost 10 inf + 495 10.786 * * [simplify]: Extracting #9: cost 5 inf + 1426 10.787 * * [simplify]: Extracting #10: cost 1 inf + 2398 10.788 * * [simplify]: Extracting #11: cost 0 inf + 2681 10.789 * [simplify]: Simplified to (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 10.789 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (* 2 (/ 1 2))))) 10.789 * [simplify]: Simplifying (* 2 (/ 1 2)) 10.789 * * [simplify]: iters left: 4 (4 enodes) 10.793 * * [simplify]: iters left: 3 (13 enodes) 10.798 * * [simplify]: iters left: 2 (15 enodes) 10.802 * * [simplify]: Extracting #0: cost 1 inf + 0 10.803 * * [simplify]: Extracting #1: cost 0 inf + 1 10.803 * [simplify]: Simplified to 1 10.803 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1))) 10.803 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 10.803 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 10.803 * * [simplify]: iters left: 6 (9 enodes) 10.810 * * [simplify]: iters left: 5 (36 enodes) 10.822 * * [simplify]: iters left: 4 (46 enodes) 10.833 * * [simplify]: Extracting #0: cost 1 inf + 0 10.833 * * [simplify]: Extracting #1: cost 6 inf + 0 10.834 * * [simplify]: Extracting #2: cost 10 inf + 1 10.834 * * [simplify]: Extracting #3: cost 10 inf + 44 10.834 * * [simplify]: Extracting #4: cost 12 inf + 86 10.834 * * [simplify]: Extracting #5: cost 14 inf + 127 10.834 * * [simplify]: Extracting #6: cost 12 inf + 169 10.834 * * [simplify]: Extracting #7: cost 8 inf + 495 10.835 * * [simplify]: Extracting #8: cost 3 inf + 1467 10.836 * * [simplify]: Extracting #9: cost 0 inf + 2115 10.837 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 10.837 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* 2 (/ (/ 1 2) 2))))) 10.837 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 10.837 * * [simplify]: iters left: 6 (5 enodes) 10.844 * * [simplify]: iters left: 5 (25 enodes) 10.851 * * [simplify]: iters left: 4 (29 enodes) 10.858 * * [simplify]: Extracting #0: cost 1 inf + 0 10.858 * * [simplify]: Extracting #1: cost 0 inf + 1 10.858 * [simplify]: Simplified to 1/2 10.858 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 10.858 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 10.859 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 10.859 * * [simplify]: iters left: 6 (9 enodes) 10.863 * * [simplify]: iters left: 5 (36 enodes) 10.875 * * [simplify]: iters left: 4 (46 enodes) 10.887 * * [simplify]: Extracting #0: cost 1 inf + 0 10.887 * * [simplify]: Extracting #1: cost 6 inf + 0 10.887 * * [simplify]: Extracting #2: cost 10 inf + 1 10.887 * * [simplify]: Extracting #3: cost 10 inf + 44 10.888 * * [simplify]: Extracting #4: cost 12 inf + 86 10.888 * * [simplify]: Extracting #5: cost 14 inf + 127 10.888 * * [simplify]: Extracting #6: cost 12 inf + 169 10.888 * * [simplify]: Extracting #7: cost 8 inf + 495 10.889 * * [simplify]: Extracting #8: cost 3 inf + 1467 10.890 * * [simplify]: Extracting #9: cost 0 inf + 2115 10.890 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 10.890 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* 2 (/ (/ 1 2) 2))))) 10.891 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 10.891 * * [simplify]: iters left: 6 (5 enodes) 10.897 * * [simplify]: iters left: 5 (25 enodes) 10.905 * * [simplify]: iters left: 4 (29 enodes) 10.913 * * [simplify]: Extracting #0: cost 1 inf + 0 10.913 * * [simplify]: Extracting #1: cost 0 inf + 1 10.913 * [simplify]: Simplified to 1/2 10.913 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 10.913 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 10.914 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 10.914 * * [simplify]: iters left: 6 (9 enodes) 10.919 * * [simplify]: iters left: 5 (36 enodes) 10.930 * * [simplify]: iters left: 4 (46 enodes) 10.941 * * [simplify]: Extracting #0: cost 1 inf + 0 10.941 * * [simplify]: Extracting #1: cost 6 inf + 0 10.941 * * [simplify]: Extracting #2: cost 10 inf + 1 10.941 * * [simplify]: Extracting #3: cost 10 inf + 44 10.941 * * [simplify]: Extracting #4: cost 12 inf + 86 10.941 * * [simplify]: Extracting #5: cost 14 inf + 127 10.941 * * [simplify]: Extracting #6: cost 12 inf + 169 10.941 * * [simplify]: Extracting #7: cost 8 inf + 495 10.942 * * [simplify]: Extracting #8: cost 3 inf + 1467 10.942 * * [simplify]: Extracting #9: cost 0 inf + 2115 10.943 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 10.943 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* 2 (/ (/ 1 2) 2))))) 10.943 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 10.943 * * [simplify]: iters left: 6 (5 enodes) 10.947 * * [simplify]: iters left: 5 (25 enodes) 10.951 * * [simplify]: iters left: 4 (29 enodes) 10.956 * * [simplify]: Extracting #0: cost 1 inf + 0 10.957 * * [simplify]: Extracting #1: cost 0 inf + 1 10.957 * [simplify]: Simplified to 1/2 10.957 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 10.957 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 10.957 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 10.957 * * [simplify]: iters left: 6 (9 enodes) 10.959 * * [simplify]: iters left: 5 (36 enodes) 10.965 * * [simplify]: iters left: 4 (46 enodes) 10.971 * * [simplify]: Extracting #0: cost 1 inf + 0 10.971 * * [simplify]: Extracting #1: cost 6 inf + 0 10.971 * * [simplify]: Extracting #2: cost 10 inf + 1 10.971 * * [simplify]: Extracting #3: cost 10 inf + 44 10.971 * * [simplify]: Extracting #4: cost 12 inf + 86 10.971 * * [simplify]: Extracting #5: cost 14 inf + 127 10.972 * * [simplify]: Extracting #6: cost 12 inf + 169 10.972 * * [simplify]: Extracting #7: cost 8 inf + 495 10.972 * * [simplify]: Extracting #8: cost 3 inf + 1467 10.973 * * [simplify]: Extracting #9: cost 0 inf + 2115 10.973 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 10.973 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (* 2 (/ (/ 1 2) 2))))) 10.973 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 10.974 * * [simplify]: iters left: 6 (5 enodes) 10.977 * * [simplify]: iters left: 5 (25 enodes) 10.981 * * [simplify]: iters left: 4 (29 enodes) 10.985 * * [simplify]: Extracting #0: cost 1 inf + 0 10.985 * * [simplify]: Extracting #1: cost 0 inf + 1 10.985 * [simplify]: Simplified to 1/2 10.985 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 10.985 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 10.986 * [simplify]: Simplifying (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 10.986 * * [simplify]: iters left: 6 (12 enodes) 10.988 * * [simplify]: iters left: 5 (45 enodes) 10.995 * * [simplify]: iters left: 4 (55 enodes) 11.002 * * [simplify]: Extracting #0: cost 1 inf + 0 11.002 * * [simplify]: Extracting #1: cost 3 inf + 0 11.002 * * [simplify]: Extracting #2: cost 5 inf + 0 11.002 * * [simplify]: Extracting #3: cost 7 inf + 0 11.002 * * [simplify]: Extracting #4: cost 12 inf + 0 11.002 * * [simplify]: Extracting #5: cost 16 inf + 1 11.002 * * [simplify]: Extracting #6: cost 17 inf + 2 11.002 * * [simplify]: Extracting #7: cost 19 inf + 44 11.002 * * [simplify]: Extracting #8: cost 20 inf + 127 11.003 * * [simplify]: Extracting #9: cost 15 inf + 373 11.003 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.004 * * [simplify]: Extracting #11: cost 1 inf + 3810 11.005 * * [simplify]: Extracting #12: cost 0 inf + 4133 11.007 * [simplify]: Simplified to (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.007 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))))) 11.007 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 11.007 * [simplify]: Simplifying (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.007 * * [simplify]: iters left: 6 (12 enodes) 11.013 * * [simplify]: iters left: 5 (45 enodes) 11.027 * * [simplify]: iters left: 4 (55 enodes) 11.036 * * [simplify]: Extracting #0: cost 1 inf + 0 11.036 * * [simplify]: Extracting #1: cost 3 inf + 0 11.036 * * [simplify]: Extracting #2: cost 5 inf + 0 11.036 * * [simplify]: Extracting #3: cost 7 inf + 0 11.036 * * [simplify]: Extracting #4: cost 12 inf + 0 11.036 * * [simplify]: Extracting #5: cost 16 inf + 1 11.036 * * [simplify]: Extracting #6: cost 17 inf + 2 11.036 * * [simplify]: Extracting #7: cost 19 inf + 44 11.037 * * [simplify]: Extracting #8: cost 20 inf + 127 11.037 * * [simplify]: Extracting #9: cost 15 inf + 373 11.037 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.038 * * [simplify]: Extracting #11: cost 1 inf + 3850 11.038 * * [simplify]: Extracting #12: cost 0 inf + 4213 11.039 * [simplify]: Simplified to (sqrt (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.039 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))))) 11.039 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 11.039 * [simplify]: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 11.040 * * [simplify]: iters left: 6 (9 enodes) 11.041 * * [simplify]: iters left: 5 (29 enodes) 11.045 * * [simplify]: Extracting #0: cost 1 inf + 0 11.045 * * [simplify]: Extracting #1: cost 3 inf + 0 11.045 * * [simplify]: Extracting #2: cost 5 inf + 0 11.045 * * [simplify]: Extracting #3: cost 8 inf + 0 11.045 * * [simplify]: Extracting #4: cost 9 inf + 1 11.045 * * [simplify]: Extracting #5: cost 12 inf + 1 11.045 * * [simplify]: Extracting #6: cost 14 inf + 42 11.045 * * [simplify]: Extracting #7: cost 10 inf + 166 11.045 * * [simplify]: Extracting #8: cost 7 inf + 572 11.046 * * [simplify]: Extracting #9: cost 4 inf + 1178 11.046 * * [simplify]: Extracting #10: cost 1 inf + 1904 11.046 * * [simplify]: Extracting #11: cost 0 inf + 2186 11.047 * [simplify]: Simplified to (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 11.047 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 11.047 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 11.047 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.047 * * [simplify]: iters left: 6 (12 enodes) 11.052 * * [simplify]: iters left: 5 (45 enodes) 11.059 * * [simplify]: iters left: 4 (55 enodes) 11.066 * * [simplify]: Extracting #0: cost 1 inf + 0 11.066 * * [simplify]: Extracting #1: cost 3 inf + 0 11.066 * * [simplify]: Extracting #2: cost 5 inf + 0 11.066 * * [simplify]: Extracting #3: cost 7 inf + 0 11.066 * * [simplify]: Extracting #4: cost 12 inf + 0 11.066 * * [simplify]: Extracting #5: cost 16 inf + 1 11.066 * * [simplify]: Extracting #6: cost 17 inf + 2 11.066 * * [simplify]: Extracting #7: cost 19 inf + 44 11.066 * * [simplify]: Extracting #8: cost 20 inf + 127 11.066 * * [simplify]: Extracting #9: cost 15 inf + 373 11.067 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.067 * * [simplify]: Extracting #11: cost 1 inf + 3730 11.068 * * [simplify]: Extracting #12: cost 0 inf + 4053 11.070 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.070 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))))) 11.070 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 11.070 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 11.071 * * [simplify]: iters left: 6 (11 enodes) 11.076 * * [simplify]: iters left: 5 (42 enodes) 11.089 * * [simplify]: iters left: 4 (52 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 10 inf + 0 11.099 * * [simplify]: Extracting #4: cost 14 inf + 1 11.099 * * [simplify]: Extracting #5: cost 14 inf + 44 11.099 * * [simplify]: Extracting #6: cost 16 inf + 86 11.099 * * [simplify]: Extracting #7: cost 18 inf + 127 11.099 * * [simplify]: Extracting #8: cost 16 inf + 169 11.099 * * [simplify]: Extracting #9: cost 13 inf + 373 11.100 * * [simplify]: Extracting #10: cost 8 inf + 1224 11.100 * * [simplify]: Extracting #11: cost 3 inf + 2398 11.101 * * [simplify]: Extracting #12: cost 0 inf + 3327 11.101 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 11.101 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 1)) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 11.101 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 11.102 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.102 * * [simplify]: iters left: 6 (12 enodes) 11.105 * * [simplify]: iters left: 5 (45 enodes) 11.111 * * [simplify]: iters left: 4 (55 enodes) 11.118 * * [simplify]: Extracting #0: cost 1 inf + 0 11.118 * * [simplify]: Extracting #1: cost 3 inf + 0 11.118 * * [simplify]: Extracting #2: cost 5 inf + 0 11.118 * * [simplify]: Extracting #3: cost 7 inf + 0 11.118 * * [simplify]: Extracting #4: cost 12 inf + 0 11.118 * * [simplify]: Extracting #5: cost 16 inf + 1 11.118 * * [simplify]: Extracting #6: cost 17 inf + 2 11.118 * * [simplify]: Extracting #7: cost 19 inf + 44 11.119 * * [simplify]: Extracting #8: cost 20 inf + 127 11.119 * * [simplify]: Extracting #9: cost 15 inf + 373 11.119 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.120 * * [simplify]: Extracting #11: cost 1 inf + 3730 11.120 * * [simplify]: Extracting #12: cost 0 inf + 4053 11.121 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.121 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))))) 11.121 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 11.121 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 11.122 * * [simplify]: iters left: 6 (11 enodes) 11.124 * * [simplify]: iters left: 5 (42 enodes) 11.131 * * [simplify]: iters left: 4 (52 enodes) 11.138 * * [simplify]: Extracting #0: cost 1 inf + 0 11.138 * * [simplify]: Extracting #1: cost 3 inf + 0 11.138 * * [simplify]: Extracting #2: cost 5 inf + 0 11.138 * * [simplify]: Extracting #3: cost 10 inf + 0 11.138 * * [simplify]: Extracting #4: cost 14 inf + 1 11.138 * * [simplify]: Extracting #5: cost 14 inf + 44 11.138 * * [simplify]: Extracting #6: cost 16 inf + 86 11.138 * * [simplify]: Extracting #7: cost 18 inf + 127 11.138 * * [simplify]: Extracting #8: cost 16 inf + 169 11.138 * * [simplify]: Extracting #9: cost 13 inf + 373 11.139 * * [simplify]: Extracting #10: cost 8 inf + 1224 11.139 * * [simplify]: Extracting #11: cost 3 inf + 2398 11.140 * * [simplify]: Extracting #12: cost 0 inf + 3327 11.142 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 11.142 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 1) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 11.142 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 11.142 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 11.142 * * [simplify]: iters left: 6 (13 enodes) 11.146 * * [simplify]: iters left: 5 (48 enodes) 11.153 * * [simplify]: iters left: 4 (58 enodes) 11.160 * * [simplify]: Extracting #0: cost 1 inf + 0 11.160 * * [simplify]: Extracting #1: cost 3 inf + 0 11.160 * * [simplify]: Extracting #2: cost 5 inf + 0 11.160 * * [simplify]: Extracting #3: cost 7 inf + 0 11.160 * * [simplify]: Extracting #4: cost 9 inf + 0 11.160 * * [simplify]: Extracting #5: cost 14 inf + 0 11.160 * * [simplify]: Extracting #6: cost 18 inf + 1 11.161 * * [simplify]: Extracting #7: cost 19 inf + 2 11.161 * * [simplify]: Extracting #8: cost 20 inf + 86 11.161 * * [simplify]: Extracting #9: cost 22 inf + 127 11.161 * * [simplify]: Extracting #10: cost 17 inf + 373 11.161 * * [simplify]: Extracting #11: cost 8 inf + 2196 11.162 * * [simplify]: Extracting #12: cost 1 inf + 4616 11.163 * * [simplify]: Extracting #13: cost 0 inf + 5019 11.164 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 11.164 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.164 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 11.164 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) 11.164 * * [simplify]: iters left: 6 (13 enodes) 11.167 * * [simplify]: iters left: 5 (49 enodes) 11.177 * * [simplify]: iters left: 4 (59 enodes) 11.191 * * [simplify]: Extracting #0: cost 1 inf + 0 11.191 * * [simplify]: Extracting #1: cost 4 inf + 0 11.192 * * [simplify]: Extracting #2: cost 7 inf + 0 11.192 * * [simplify]: Extracting #3: cost 9 inf + 0 11.192 * * [simplify]: Extracting #4: cost 14 inf + 0 11.192 * * [simplify]: Extracting #5: cost 18 inf + 1 11.192 * * [simplify]: Extracting #6: cost 19 inf + 2 11.192 * * [simplify]: Extracting #7: cost 21 inf + 44 11.192 * * [simplify]: Extracting #8: cost 22 inf + 127 11.192 * * [simplify]: Extracting #9: cost 18 inf + 332 11.192 * * [simplify]: Extracting #10: cost 8 inf + 2155 11.193 * * [simplify]: Extracting #11: cost 1 inf + 4616 11.194 * * [simplify]: Extracting #12: cost 0 inf + 5019 11.195 * [simplify]: Simplified to (fabs (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.195 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.195 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 11.195 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 11.195 * * [simplify]: iters left: 2 (3 enodes) 11.197 * * [simplify]: iters left: 1 (9 enodes) 11.199 * * [simplify]: Extracting #0: cost 1 inf + 0 11.199 * * [simplify]: Extracting #1: cost 3 inf + 0 11.199 * * [simplify]: Extracting #2: cost 5 inf + 0 11.199 * * [simplify]: Extracting #3: cost 4 inf + 1 11.199 * * [simplify]: Extracting #4: cost 0 inf + 245 11.199 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 11.199 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.199 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 11.199 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.199 * * [simplify]: iters left: 6 (12 enodes) 11.202 * * [simplify]: iters left: 5 (45 enodes) 11.209 * * [simplify]: iters left: 4 (55 enodes) 11.216 * * [simplify]: Extracting #0: cost 1 inf + 0 11.216 * * [simplify]: Extracting #1: cost 3 inf + 0 11.216 * * [simplify]: Extracting #2: cost 5 inf + 0 11.216 * * [simplify]: Extracting #3: cost 7 inf + 0 11.216 * * [simplify]: Extracting #4: cost 12 inf + 0 11.216 * * [simplify]: Extracting #5: cost 16 inf + 1 11.216 * * [simplify]: Extracting #6: cost 17 inf + 2 11.216 * * [simplify]: Extracting #7: cost 19 inf + 44 11.217 * * [simplify]: Extracting #8: cost 20 inf + 127 11.217 * * [simplify]: Extracting #9: cost 15 inf + 373 11.217 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.218 * * [simplify]: Extracting #11: cost 1 inf + 3730 11.218 * * [simplify]: Extracting #12: cost 0 inf + 4053 11.219 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.219 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.219 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 11.219 * [simplify]: Simplifying (sqrt 1) 11.219 * * [simplify]: iters left: 1 (2 enodes) 11.222 * * [simplify]: Extracting #0: cost 1 inf + 0 11.222 * * [simplify]: Extracting #1: cost 0 inf + 1 11.222 * [simplify]: Simplified to 1 11.222 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.222 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 11.222 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.222 * * [simplify]: iters left: 6 (12 enodes) 11.225 * * [simplify]: iters left: 5 (45 enodes) 11.234 * * [simplify]: iters left: 4 (55 enodes) 11.248 * * [simplify]: Extracting #0: cost 1 inf + 0 11.248 * * [simplify]: Extracting #1: cost 3 inf + 0 11.248 * * [simplify]: Extracting #2: cost 5 inf + 0 11.248 * * [simplify]: Extracting #3: cost 7 inf + 0 11.248 * * [simplify]: Extracting #4: cost 12 inf + 0 11.248 * * [simplify]: Extracting #5: cost 16 inf + 1 11.248 * * [simplify]: Extracting #6: cost 17 inf + 2 11.248 * * [simplify]: Extracting #7: cost 19 inf + 44 11.248 * * [simplify]: Extracting #8: cost 20 inf + 127 11.249 * * [simplify]: Extracting #9: cost 15 inf + 373 11.249 * * [simplify]: Extracting #10: cost 5 inf + 2398 11.250 * * [simplify]: Extracting #11: cost 1 inf + 3730 11.252 * * [simplify]: Extracting #12: cost 0 inf + 4053 11.253 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 11.253 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 11.253 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 11.254 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 11.254 * [simplify]: Simplifying (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) 11.254 * * [simplify]: iters left: 6 (12 enodes) 11.260 * * [simplify]: iters left: 5 (43 enodes) 11.273 * * [simplify]: iters left: 4 (75 enodes) 11.298 * * [simplify]: iters left: 3 (121 enodes) 11.329 * * [simplify]: iters left: 2 (181 enodes) 11.361 * * [simplify]: iters left: 1 (249 enodes) 11.442 * * [simplify]: Extracting #0: cost 1 inf + 0 11.442 * * [simplify]: Extracting #1: cost 3 inf + 0 11.442 * * [simplify]: Extracting #2: cost 5 inf + 0 11.442 * * [simplify]: Extracting #3: cost 28 inf + 0 11.443 * * [simplify]: Extracting #4: cost 66 inf + 0 11.443 * * [simplify]: Extracting #5: cost 70 inf + 247 11.444 * * [simplify]: Extracting #6: cost 55 inf + 1505 11.447 * * [simplify]: Extracting #7: cost 35 inf + 5381 11.453 * * [simplify]: Extracting #8: cost 6 inf + 12439 11.460 * * [simplify]: Extracting #9: cost 0 inf + 14291 11.464 * [simplify]: Simplified to (sqrt (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))))) 11.464 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))) (sqrt (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))))))) 11.464 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 11.465 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.465 * * [simplify]: iters left: 6 (9 enodes) 11.467 * * [simplify]: iters left: 5 (30 enodes) 11.471 * * [simplify]: iters left: 4 (33 enodes) 11.475 * * [simplify]: Extracting #0: cost 1 inf + 0 11.475 * * [simplify]: Extracting #1: cost 3 inf + 0 11.475 * * [simplify]: Extracting #2: cost 5 inf + 0 11.475 * * [simplify]: Extracting #3: cost 9 inf + 0 11.475 * * [simplify]: Extracting #4: cost 11 inf + 1 11.475 * * [simplify]: Extracting #5: cost 12 inf + 83 11.475 * * [simplify]: Extracting #6: cost 14 inf + 124 11.475 * * [simplify]: Extracting #7: cost 10 inf + 248 11.475 * * [simplify]: Extracting #8: cost 8 inf + 532 11.476 * * [simplify]: Extracting #9: cost 4 inf + 1260 11.476 * * [simplify]: Extracting #10: cost 0 inf + 2268 11.476 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.477 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 11.477 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 11.477 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.477 * * [simplify]: iters left: 6 (19 enodes) 11.483 * * [simplify]: iters left: 5 (87 enodes) 11.500 * * [simplify]: iters left: 4 (144 enodes) 11.530 * * [simplify]: iters left: 3 (241 enodes) 11.579 * * [simplify]: iters left: 2 (473 enodes) 11.716 * * [simplify]: Extracting #0: cost 1 inf + 0 11.716 * * [simplify]: Extracting #1: cost 4 inf + 0 11.716 * * [simplify]: Extracting #2: cost 8 inf + 0 11.716 * * [simplify]: Extracting #3: cost 12 inf + 0 11.716 * * [simplify]: Extracting #4: cost 27 inf + 0 11.717 * * [simplify]: Extracting #5: cost 108 inf + 1 11.718 * * [simplify]: Extracting #6: cost 193 inf + 1422 11.721 * * [simplify]: Extracting #7: cost 140 inf + 13397 11.733 * * [simplify]: Extracting #8: cost 41 inf + 57011 11.755 * * [simplify]: Extracting #9: cost 1 inf + 79054 11.779 * * [simplify]: Extracting #10: cost 0 inf + 79497 11.805 * [simplify]: Simplified to (* (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))))) 11.806 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))))) (sqrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))) 11.806 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 11.807 * [simplify]: Simplifying (* (sqrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.807 * * [simplify]: iters left: 6 (17 enodes) 11.815 * * [simplify]: iters left: 5 (64 enodes) 11.826 * * [simplify]: iters left: 4 (102 enodes) 11.843 * * [simplify]: iters left: 3 (182 enodes) 11.882 * * [simplify]: iters left: 2 (374 enodes) 12.110 * * [simplify]: Extracting #0: cost 1 inf + 0 12.110 * * [simplify]: Extracting #1: cost 4 inf + 0 12.110 * * [simplify]: Extracting #2: cost 8 inf + 0 12.110 * * [simplify]: Extracting #3: cost 12 inf + 0 12.110 * * [simplify]: Extracting #4: cost 62 inf + 0 12.111 * * [simplify]: Extracting #5: cost 155 inf + 126 12.112 * * [simplify]: Extracting #6: cost 187 inf + 2611 12.115 * * [simplify]: Extracting #7: cost 126 inf + 12792 12.127 * * [simplify]: Extracting #8: cost 30 inf + 39870 12.146 * * [simplify]: Extracting #9: cost 0 inf + 50020 12.170 * [simplify]: Simplified to (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0)))) 12.171 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 12.171 * * * * [progress]: [ 111 / 137 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 12.171 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 12.171 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 12.172 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 12.172 * * [simplify]: iters left: 6 (9 enodes) 12.176 * * [simplify]: iters left: 5 (31 enodes) 12.179 * * [simplify]: iters left: 4 (35 enodes) 12.183 * * [simplify]: Extracting #0: cost 1 inf + 0 12.183 * * [simplify]: Extracting #1: cost 5 inf + 0 12.183 * * [simplify]: Extracting #2: cost 10 inf + 0 12.184 * * [simplify]: Extracting #3: cost 11 inf + 1 12.184 * * [simplify]: Extracting #4: cost 12 inf + 143 12.184 * * [simplify]: Extracting #5: cost 14 inf + 184 12.184 * * [simplify]: Extracting #6: cost 10 inf + 308 12.184 * * [simplify]: Extracting #7: cost 7 inf + 794 12.184 * * [simplify]: Extracting #8: cost 1 inf + 2056 12.185 * * [simplify]: Extracting #9: cost 0 inf + 2288 12.185 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 12.185 * [simplify]: Simplified (2 2 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))))) 12.185 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 12.185 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 12.186 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 12.186 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 12.186 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 12.186 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 12.186 * * [simplify]: iters left: 6 (7 enodes) 12.187 * * [simplify]: iters left: 5 (23 enodes) 12.190 * * [simplify]: Extracting #0: cost 1 inf + 0 12.190 * * [simplify]: Extracting #1: cost 4 inf + 0 12.190 * * [simplify]: Extracting #2: cost 5 inf + 1 12.190 * * [simplify]: Extracting #3: cost 8 inf + 1 12.190 * * [simplify]: Extracting #4: cost 10 inf + 42 12.190 * * [simplify]: Extracting #5: cost 8 inf + 84 12.191 * * [simplify]: Extracting #6: cost 1 inf + 936 12.191 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.191 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 12.191 * [simplify]: Simplified (2 2 2 1 1 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))))) 12.191 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 12.191 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 12.191 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 12.192 * [simplify]: Simplifying im 12.192 * * [simplify]: iters left: 0 (1 enodes) 12.192 * * [simplify]: Extracting #0: cost 1 inf + 0 12.192 * * [simplify]: Extracting #1: cost 0 inf + 1 12.192 * [simplify]: Simplified to im 12.192 * [simplify]: Simplified (2 2 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ im re))))))) 12.192 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 12.192 * [simplify]: Simplifying re 12.192 * * [simplify]: iters left: 0 (1 enodes) 12.192 * * [simplify]: Extracting #0: cost 1 inf + 0 12.192 * * [simplify]: Extracting #1: cost 0 inf + 1 12.192 * [simplify]: Simplified to re 12.192 * [simplify]: Simplified (2 2 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ re re))))))) 12.193 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 12.193 * [simplify]: Simplifying (* -1 re) 12.193 * * [simplify]: iters left: 2 (3 enodes) 12.194 * * [simplify]: iters left: 1 (11 enodes) 12.196 * * [simplify]: Extracting #0: cost 1 inf + 0 12.196 * * [simplify]: Extracting #1: cost 4 inf + 0 12.196 * * [simplify]: Extracting #2: cost 0 inf + 84 12.196 * [simplify]: Simplified to (- re) 12.196 * [simplify]: Simplified (2 2 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (- re) re))))))) 12.196 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 12.196 * [simplify]: Simplifying im 12.196 * * [simplify]: iters left: 0 (1 enodes) 12.196 * * [simplify]: Extracting #0: cost 1 inf + 0 12.196 * * [simplify]: Extracting #1: cost 0 inf + 1 12.196 * [simplify]: Simplified to im 12.196 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ im re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 12.196 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 12.197 * [simplify]: Simplifying re 12.197 * * [simplify]: iters left: 0 (1 enodes) 12.197 * * [simplify]: Extracting #0: cost 1 inf + 0 12.197 * * [simplify]: Extracting #1: cost 0 inf + 1 12.197 * [simplify]: Simplified to re 12.197 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ re re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 12.197 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 12.197 * [simplify]: Simplifying (* -1 re) 12.197 * * [simplify]: iters left: 2 (3 enodes) 12.198 * * [simplify]: iters left: 1 (11 enodes) 12.200 * * [simplify]: Extracting #0: cost 1 inf + 0 12.200 * * [simplify]: Extracting #1: cost 4 inf + 0 12.200 * * [simplify]: Extracting #2: cost 0 inf + 84 12.200 * [simplify]: Simplified to (- re) 12.200 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (- re) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 12.200 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 12.200 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 12.200 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 12.200 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 12.200 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 12.200 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 12.201 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 12.201 * [simplify]: Simplifying 0 12.201 * * [simplify]: iters left: 0 (1 enodes) 12.201 * * [simplify]: Extracting #0: cost 1 inf + 0 12.201 * * [simplify]: Extracting #1: cost 0 inf + 1 12.201 * [simplify]: Simplified to 0 12.201 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 12.201 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 12.202 * [simplify]: Simplifying (+ re im) 12.202 * * [simplify]: iters left: 2 (3 enodes) 12.202 * * [simplify]: iters left: 1 (10 enodes) 12.203 * * [simplify]: Extracting #0: cost 1 inf + 0 12.203 * * [simplify]: Extracting #1: cost 4 inf + 0 12.203 * * [simplify]: Extracting #2: cost 2 inf + 2 12.204 * * [simplify]: Extracting #3: cost 0 inf + 86 12.204 * [simplify]: Simplified to (+ im re) 12.204 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ im re))))))) 12.204 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 12.204 * [simplify]: Simplifying (* 2 re) 12.204 * * [simplify]: iters left: 2 (3 enodes) 12.206 * * [simplify]: iters left: 1 (10 enodes) 12.209 * * [simplify]: Extracting #0: cost 1 inf + 0 12.209 * * [simplify]: Extracting #1: cost 4 inf + 0 12.209 * * [simplify]: Extracting #2: cost 2 inf + 2 12.209 * * [simplify]: Extracting #3: cost 0 inf + 86 12.209 * [simplify]: Simplified to (* 2 re) 12.209 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* 2 re))))))) 12.209 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 12.210 * [simplify]: Simplifying 0 12.210 * * [simplify]: iters left: 0 (1 enodes) 12.211 * * [simplify]: Extracting #0: cost 1 inf + 0 12.211 * * [simplify]: Extracting #1: cost 0 inf + 1 12.211 * [simplify]: Simplified to 0 12.211 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 0)))))) 12.211 * * * [progress]: adding candidates to table 13.860 * * [progress]: iteration 3 / 4 13.860 * * * [progress]: picking best candidate 13.909 * * * * [pick]: Picked # 13.909 * * * [progress]: localizing error 13.969 * * * [progress]: generating rewritten candidates 13.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1 1 2 1) 13.982 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1 1 2 1) 13.994 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 1 2 1) 14.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1) 14.020 * * * [progress]: generating series expansions 14.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1 1 2 1) 14.021 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.021 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.021 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.021 * [taylor]: Taking taylor expansion of im in im 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify 1 into 1 14.021 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.021 * [taylor]: Taking taylor expansion of re in im 14.021 * [backup-simplify]: Simplify re into re 14.021 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.021 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.021 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.021 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.022 * [backup-simplify]: Simplify (+ 0 0) into 0 14.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.022 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.022 * [taylor]: Taking taylor expansion of im in re 14.022 * [backup-simplify]: Simplify im into im 14.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.022 * [taylor]: Taking taylor expansion of re in re 14.022 * [backup-simplify]: Simplify 0 into 0 14.022 * [backup-simplify]: Simplify 1 into 1 14.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.023 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.023 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.023 * [backup-simplify]: Simplify (+ 0 0) into 0 14.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.023 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.024 * [taylor]: Taking taylor expansion of im in re 14.024 * [backup-simplify]: Simplify im into im 14.024 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.024 * [taylor]: Taking taylor expansion of re in re 14.024 * [backup-simplify]: Simplify 0 into 0 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.024 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.024 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.024 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.024 * [backup-simplify]: Simplify (+ 0 0) into 0 14.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.025 * [taylor]: Taking taylor expansion of im in im 14.025 * [backup-simplify]: Simplify 0 into 0 14.025 * [backup-simplify]: Simplify 1 into 1 14.025 * [backup-simplify]: Simplify 0 into 0 14.025 * [taylor]: Taking taylor expansion of 0 in im 14.025 * [backup-simplify]: Simplify 0 into 0 14.025 * [backup-simplify]: Simplify 0 into 0 14.025 * [backup-simplify]: Simplify 1 into 1 14.025 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.026 * [backup-simplify]: Simplify (* 1 1) into 1 14.026 * [backup-simplify]: Simplify (+ 0 1) into 1 14.027 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.027 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.027 * [taylor]: Taking taylor expansion of 1/2 in im 14.027 * [backup-simplify]: Simplify 1/2 into 1/2 14.027 * [taylor]: Taking taylor expansion of im in im 14.027 * [backup-simplify]: Simplify 0 into 0 14.027 * [backup-simplify]: Simplify 1 into 1 14.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.029 * [backup-simplify]: Simplify 0 into 0 14.029 * [backup-simplify]: Simplify 0 into 0 14.029 * [backup-simplify]: Simplify 0 into 0 14.029 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.030 * [backup-simplify]: Simplify (+ 0 0) into 0 14.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.031 * [taylor]: Taking taylor expansion of 0 in im 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.032 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.032 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.032 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.032 * [taylor]: Taking taylor expansion of re in im 14.032 * [backup-simplify]: Simplify re into re 14.032 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.033 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.033 * [taylor]: Taking taylor expansion of im in im 14.033 * [backup-simplify]: Simplify 0 into 0 14.033 * [backup-simplify]: Simplify 1 into 1 14.033 * [backup-simplify]: Simplify (* 1 1) into 1 14.033 * [backup-simplify]: Simplify (/ 1 1) into 1 14.034 * [backup-simplify]: Simplify (+ 0 1) into 1 14.034 * [backup-simplify]: Simplify (sqrt 1) into 1 14.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.036 * [backup-simplify]: Simplify (+ 0 0) into 0 14.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.037 * [taylor]: Taking taylor expansion of re in re 14.037 * [backup-simplify]: Simplify 0 into 0 14.037 * [backup-simplify]: Simplify 1 into 1 14.037 * [backup-simplify]: Simplify (* 1 1) into 1 14.038 * [backup-simplify]: Simplify (/ 1 1) into 1 14.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.038 * [taylor]: Taking taylor expansion of im in re 14.038 * [backup-simplify]: Simplify im into im 14.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.038 * [backup-simplify]: Simplify (+ 1 0) into 1 14.039 * [backup-simplify]: Simplify (sqrt 1) into 1 14.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.041 * [backup-simplify]: Simplify (+ 0 0) into 0 14.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.041 * [taylor]: Taking taylor expansion of re in re 14.041 * [backup-simplify]: Simplify 0 into 0 14.041 * [backup-simplify]: Simplify 1 into 1 14.042 * [backup-simplify]: Simplify (* 1 1) into 1 14.042 * [backup-simplify]: Simplify (/ 1 1) into 1 14.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.042 * [taylor]: Taking taylor expansion of im in re 14.042 * [backup-simplify]: Simplify im into im 14.043 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.043 * [backup-simplify]: Simplify (+ 1 0) into 1 14.044 * [backup-simplify]: Simplify (sqrt 1) into 1 14.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.045 * [backup-simplify]: Simplify (+ 0 0) into 0 14.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.046 * [taylor]: Taking taylor expansion of 1 in im 14.046 * [backup-simplify]: Simplify 1 into 1 14.046 * [taylor]: Taking taylor expansion of 0 in im 14.046 * [backup-simplify]: Simplify 0 into 0 14.046 * [backup-simplify]: Simplify 1 into 1 14.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.050 * [taylor]: Taking taylor expansion of 1/2 in im 14.050 * [backup-simplify]: Simplify 1/2 into 1/2 14.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.050 * [taylor]: Taking taylor expansion of im in im 14.050 * [backup-simplify]: Simplify 0 into 0 14.050 * [backup-simplify]: Simplify 1 into 1 14.050 * [backup-simplify]: Simplify (* 1 1) into 1 14.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.056 * [backup-simplify]: Simplify (+ 0 0) into 0 14.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.056 * [taylor]: Taking taylor expansion of 0 in im 14.056 * [backup-simplify]: Simplify 0 into 0 14.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.059 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.059 * [taylor]: Taking taylor expansion of re in im 14.059 * [backup-simplify]: Simplify re into re 14.059 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.059 * [taylor]: Taking taylor expansion of im in im 14.059 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify 1 into 1 14.060 * [backup-simplify]: Simplify (* 1 1) into 1 14.060 * [backup-simplify]: Simplify (/ 1 1) into 1 14.061 * [backup-simplify]: Simplify (+ 0 1) into 1 14.061 * [backup-simplify]: Simplify (sqrt 1) into 1 14.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.063 * [backup-simplify]: Simplify (+ 0 0) into 0 14.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.064 * [taylor]: Taking taylor expansion of re in re 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 1 into 1 14.064 * [backup-simplify]: Simplify (* 1 1) into 1 14.065 * [backup-simplify]: Simplify (/ 1 1) into 1 14.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.065 * [taylor]: Taking taylor expansion of im in re 14.065 * [backup-simplify]: Simplify im into im 14.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.066 * [backup-simplify]: Simplify (+ 1 0) into 1 14.066 * [backup-simplify]: Simplify (sqrt 1) into 1 14.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.068 * [backup-simplify]: Simplify (+ 0 0) into 0 14.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.068 * [taylor]: Taking taylor expansion of re in re 14.069 * [backup-simplify]: Simplify 0 into 0 14.069 * [backup-simplify]: Simplify 1 into 1 14.072 * [backup-simplify]: Simplify (* 1 1) into 1 14.073 * [backup-simplify]: Simplify (/ 1 1) into 1 14.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.073 * [taylor]: Taking taylor expansion of im in re 14.073 * [backup-simplify]: Simplify im into im 14.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.074 * [backup-simplify]: Simplify (+ 1 0) into 1 14.074 * [backup-simplify]: Simplify (sqrt 1) into 1 14.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.076 * [backup-simplify]: Simplify (+ 0 0) into 0 14.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.077 * [taylor]: Taking taylor expansion of 1 in im 14.077 * [backup-simplify]: Simplify 1 into 1 14.077 * [taylor]: Taking taylor expansion of 0 in im 14.077 * [backup-simplify]: Simplify 0 into 0 14.077 * [backup-simplify]: Simplify 1 into 1 14.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.080 * [taylor]: Taking taylor expansion of 1/2 in im 14.080 * [backup-simplify]: Simplify 1/2 into 1/2 14.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.080 * [taylor]: Taking taylor expansion of im in im 14.080 * [backup-simplify]: Simplify 0 into 0 14.080 * [backup-simplify]: Simplify 1 into 1 14.081 * [backup-simplify]: Simplify (* 1 1) into 1 14.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.085 * [backup-simplify]: Simplify (+ 0 0) into 0 14.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.086 * [taylor]: Taking taylor expansion of 0 in im 14.086 * [backup-simplify]: Simplify 0 into 0 14.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.088 * [backup-simplify]: Simplify 0 into 0 14.088 * [backup-simplify]: Simplify 0 into 0 14.088 * [backup-simplify]: Simplify 0 into 0 14.088 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.088 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1 1 2 1) 14.088 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.089 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.089 * [taylor]: Taking taylor expansion of im in im 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 1 into 1 14.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.089 * [taylor]: Taking taylor expansion of re in im 14.089 * [backup-simplify]: Simplify re into re 14.089 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.089 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.089 * [backup-simplify]: Simplify (+ 0 0) into 0 14.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.090 * [taylor]: Taking taylor expansion of im in re 14.090 * [backup-simplify]: Simplify im into im 14.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.090 * [taylor]: Taking taylor expansion of re in re 14.090 * [backup-simplify]: Simplify 0 into 0 14.090 * [backup-simplify]: Simplify 1 into 1 14.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.090 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.090 * [backup-simplify]: Simplify (+ 0 0) into 0 14.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.091 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.091 * [taylor]: Taking taylor expansion of im in re 14.091 * [backup-simplify]: Simplify im into im 14.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.091 * [taylor]: Taking taylor expansion of re in re 14.091 * [backup-simplify]: Simplify 0 into 0 14.091 * [backup-simplify]: Simplify 1 into 1 14.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.091 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.092 * [backup-simplify]: Simplify (+ 0 0) into 0 14.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.092 * [taylor]: Taking taylor expansion of im in im 14.092 * [backup-simplify]: Simplify 0 into 0 14.092 * [backup-simplify]: Simplify 1 into 1 14.092 * [backup-simplify]: Simplify 0 into 0 14.092 * [taylor]: Taking taylor expansion of 0 in im 14.092 * [backup-simplify]: Simplify 0 into 0 14.092 * [backup-simplify]: Simplify 0 into 0 14.092 * [backup-simplify]: Simplify 1 into 1 14.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.093 * [backup-simplify]: Simplify (* 1 1) into 1 14.093 * [backup-simplify]: Simplify (+ 0 1) into 1 14.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.094 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.094 * [taylor]: Taking taylor expansion of 1/2 in im 14.094 * [backup-simplify]: Simplify 1/2 into 1/2 14.094 * [taylor]: Taking taylor expansion of im in im 14.094 * [backup-simplify]: Simplify 0 into 0 14.094 * [backup-simplify]: Simplify 1 into 1 14.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.096 * [backup-simplify]: Simplify 0 into 0 14.096 * [backup-simplify]: Simplify 0 into 0 14.096 * [backup-simplify]: Simplify 0 into 0 14.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.098 * [backup-simplify]: Simplify (+ 0 0) into 0 14.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.098 * [taylor]: Taking taylor expansion of 0 in im 14.098 * [backup-simplify]: Simplify 0 into 0 14.098 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.099 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.099 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.099 * [taylor]: Taking taylor expansion of re in im 14.099 * [backup-simplify]: Simplify re into re 14.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.100 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.100 * [taylor]: Taking taylor expansion of im in im 14.100 * [backup-simplify]: Simplify 0 into 0 14.100 * [backup-simplify]: Simplify 1 into 1 14.100 * [backup-simplify]: Simplify (* 1 1) into 1 14.100 * [backup-simplify]: Simplify (/ 1 1) into 1 14.101 * [backup-simplify]: Simplify (+ 0 1) into 1 14.101 * [backup-simplify]: Simplify (sqrt 1) into 1 14.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.103 * [backup-simplify]: Simplify (+ 0 0) into 0 14.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.104 * [taylor]: Taking taylor expansion of re in re 14.104 * [backup-simplify]: Simplify 0 into 0 14.104 * [backup-simplify]: Simplify 1 into 1 14.105 * [backup-simplify]: Simplify (* 1 1) into 1 14.105 * [backup-simplify]: Simplify (/ 1 1) into 1 14.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.105 * [taylor]: Taking taylor expansion of im in re 14.105 * [backup-simplify]: Simplify im into im 14.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.106 * [backup-simplify]: Simplify (+ 1 0) into 1 14.107 * [backup-simplify]: Simplify (sqrt 1) into 1 14.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.108 * [backup-simplify]: Simplify (+ 0 0) into 0 14.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.109 * [taylor]: Taking taylor expansion of re in re 14.109 * [backup-simplify]: Simplify 0 into 0 14.109 * [backup-simplify]: Simplify 1 into 1 14.110 * [backup-simplify]: Simplify (* 1 1) into 1 14.110 * [backup-simplify]: Simplify (/ 1 1) into 1 14.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.110 * [taylor]: Taking taylor expansion of im in re 14.110 * [backup-simplify]: Simplify im into im 14.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.111 * [backup-simplify]: Simplify (+ 1 0) into 1 14.111 * [backup-simplify]: Simplify (sqrt 1) into 1 14.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.113 * [backup-simplify]: Simplify (+ 0 0) into 0 14.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.114 * [taylor]: Taking taylor expansion of 1 in im 14.114 * [backup-simplify]: Simplify 1 into 1 14.114 * [taylor]: Taking taylor expansion of 0 in im 14.114 * [backup-simplify]: Simplify 0 into 0 14.114 * [backup-simplify]: Simplify 1 into 1 14.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.118 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.118 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.118 * [taylor]: Taking taylor expansion of 1/2 in im 14.118 * [backup-simplify]: Simplify 1/2 into 1/2 14.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.118 * [taylor]: Taking taylor expansion of im in im 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (* 1 1) into 1 14.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify 0 into 0 14.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.123 * [backup-simplify]: Simplify (+ 0 0) into 0 14.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.124 * [taylor]: Taking taylor expansion of 0 in im 14.124 * [backup-simplify]: Simplify 0 into 0 14.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.126 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.126 * [taylor]: Taking taylor expansion of re in im 14.126 * [backup-simplify]: Simplify re into re 14.126 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.127 * [taylor]: Taking taylor expansion of im in im 14.127 * [backup-simplify]: Simplify 0 into 0 14.127 * [backup-simplify]: Simplify 1 into 1 14.127 * [backup-simplify]: Simplify (* 1 1) into 1 14.127 * [backup-simplify]: Simplify (/ 1 1) into 1 14.128 * [backup-simplify]: Simplify (+ 0 1) into 1 14.128 * [backup-simplify]: Simplify (sqrt 1) into 1 14.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.130 * [backup-simplify]: Simplify (+ 0 0) into 0 14.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.131 * [taylor]: Taking taylor expansion of re in re 14.131 * [backup-simplify]: Simplify 0 into 0 14.131 * [backup-simplify]: Simplify 1 into 1 14.131 * [backup-simplify]: Simplify (* 1 1) into 1 14.132 * [backup-simplify]: Simplify (/ 1 1) into 1 14.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.132 * [taylor]: Taking taylor expansion of im in re 14.132 * [backup-simplify]: Simplify im into im 14.132 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.133 * [backup-simplify]: Simplify (+ 1 0) into 1 14.133 * [backup-simplify]: Simplify (sqrt 1) into 1 14.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.135 * [backup-simplify]: Simplify (+ 0 0) into 0 14.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.136 * [taylor]: Taking taylor expansion of re in re 14.136 * [backup-simplify]: Simplify 0 into 0 14.136 * [backup-simplify]: Simplify 1 into 1 14.136 * [backup-simplify]: Simplify (* 1 1) into 1 14.136 * [backup-simplify]: Simplify (/ 1 1) into 1 14.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.136 * [taylor]: Taking taylor expansion of im in re 14.136 * [backup-simplify]: Simplify im into im 14.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.137 * [backup-simplify]: Simplify (+ 1 0) into 1 14.137 * [backup-simplify]: Simplify (sqrt 1) into 1 14.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.138 * [backup-simplify]: Simplify (+ 0 0) into 0 14.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.139 * [taylor]: Taking taylor expansion of 1 in im 14.139 * [backup-simplify]: Simplify 1 into 1 14.139 * [taylor]: Taking taylor expansion of 0 in im 14.139 * [backup-simplify]: Simplify 0 into 0 14.139 * [backup-simplify]: Simplify 1 into 1 14.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.141 * [taylor]: Taking taylor expansion of 1/2 in im 14.141 * [backup-simplify]: Simplify 1/2 into 1/2 14.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.141 * [taylor]: Taking taylor expansion of im in im 14.141 * [backup-simplify]: Simplify 0 into 0 14.141 * [backup-simplify]: Simplify 1 into 1 14.141 * [backup-simplify]: Simplify (* 1 1) into 1 14.141 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.144 * [backup-simplify]: Simplify (+ 0 0) into 0 14.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.144 * [taylor]: Taking taylor expansion of 0 in im 14.144 * [backup-simplify]: Simplify 0 into 0 14.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.146 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 1 2 1) 14.146 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.146 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.146 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.146 * [taylor]: Taking taylor expansion of im in im 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify 1 into 1 14.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.146 * [taylor]: Taking taylor expansion of re in im 14.146 * [backup-simplify]: Simplify re into re 14.146 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.146 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.146 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.146 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.147 * [backup-simplify]: Simplify (+ 0 0) into 0 14.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.147 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.147 * [taylor]: Taking taylor expansion of im in re 14.147 * [backup-simplify]: Simplify im into im 14.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.147 * [taylor]: Taking taylor expansion of re in re 14.147 * [backup-simplify]: Simplify 0 into 0 14.147 * [backup-simplify]: Simplify 1 into 1 14.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.147 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.147 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.147 * [backup-simplify]: Simplify (+ 0 0) into 0 14.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.147 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.147 * [taylor]: Taking taylor expansion of im in re 14.147 * [backup-simplify]: Simplify im into im 14.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.148 * [taylor]: Taking taylor expansion of re in re 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 1 into 1 14.148 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.148 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.148 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.148 * [backup-simplify]: Simplify (+ 0 0) into 0 14.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.148 * [taylor]: Taking taylor expansion of im in im 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 1 into 1 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [taylor]: Taking taylor expansion of 0 in im 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 1 into 1 14.149 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.149 * [backup-simplify]: Simplify (* 1 1) into 1 14.149 * [backup-simplify]: Simplify (+ 0 1) into 1 14.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.150 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.150 * [taylor]: Taking taylor expansion of 1/2 in im 14.150 * [backup-simplify]: Simplify 1/2 into 1/2 14.150 * [taylor]: Taking taylor expansion of im in im 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.152 * [backup-simplify]: Simplify (+ 0 0) into 0 14.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.152 * [taylor]: Taking taylor expansion of 0 in im 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.153 * [taylor]: Taking taylor expansion of re in im 14.153 * [backup-simplify]: Simplify re into re 14.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.153 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.153 * [taylor]: Taking taylor expansion of im in im 14.153 * [backup-simplify]: Simplify 0 into 0 14.153 * [backup-simplify]: Simplify 1 into 1 14.153 * [backup-simplify]: Simplify (* 1 1) into 1 14.153 * [backup-simplify]: Simplify (/ 1 1) into 1 14.154 * [backup-simplify]: Simplify (+ 0 1) into 1 14.154 * [backup-simplify]: Simplify (sqrt 1) into 1 14.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.155 * [backup-simplify]: Simplify (+ 0 0) into 0 14.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.156 * [taylor]: Taking taylor expansion of re in re 14.156 * [backup-simplify]: Simplify 0 into 0 14.156 * [backup-simplify]: Simplify 1 into 1 14.156 * [backup-simplify]: Simplify (* 1 1) into 1 14.156 * [backup-simplify]: Simplify (/ 1 1) into 1 14.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.156 * [taylor]: Taking taylor expansion of im in re 14.156 * [backup-simplify]: Simplify im into im 14.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.157 * [backup-simplify]: Simplify (+ 1 0) into 1 14.157 * [backup-simplify]: Simplify (sqrt 1) into 1 14.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.158 * [backup-simplify]: Simplify (+ 0 0) into 0 14.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.158 * [taylor]: Taking taylor expansion of re in re 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify 1 into 1 14.159 * [backup-simplify]: Simplify (* 1 1) into 1 14.159 * [backup-simplify]: Simplify (/ 1 1) into 1 14.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.159 * [taylor]: Taking taylor expansion of im in re 14.159 * [backup-simplify]: Simplify im into im 14.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.159 * [backup-simplify]: Simplify (+ 1 0) into 1 14.159 * [backup-simplify]: Simplify (sqrt 1) into 1 14.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.161 * [backup-simplify]: Simplify (+ 0 0) into 0 14.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.161 * [taylor]: Taking taylor expansion of 1 in im 14.161 * [backup-simplify]: Simplify 1 into 1 14.161 * [taylor]: Taking taylor expansion of 0 in im 14.161 * [backup-simplify]: Simplify 0 into 0 14.161 * [backup-simplify]: Simplify 1 into 1 14.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.162 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.163 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.163 * [taylor]: Taking taylor expansion of 1/2 in im 14.163 * [backup-simplify]: Simplify 1/2 into 1/2 14.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.163 * [taylor]: Taking taylor expansion of im in im 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 1 into 1 14.164 * [backup-simplify]: Simplify (* 1 1) into 1 14.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.165 * [backup-simplify]: Simplify 0 into 0 14.165 * [backup-simplify]: Simplify 0 into 0 14.165 * [backup-simplify]: Simplify 0 into 0 14.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.166 * [backup-simplify]: Simplify (+ 0 0) into 0 14.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.167 * [taylor]: Taking taylor expansion of 0 in im 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.168 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.168 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.168 * [taylor]: Taking taylor expansion of re in im 14.168 * [backup-simplify]: Simplify re into re 14.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.169 * [taylor]: Taking taylor expansion of im in im 14.169 * [backup-simplify]: Simplify 0 into 0 14.169 * [backup-simplify]: Simplify 1 into 1 14.169 * [backup-simplify]: Simplify (* 1 1) into 1 14.169 * [backup-simplify]: Simplify (/ 1 1) into 1 14.169 * [backup-simplify]: Simplify (+ 0 1) into 1 14.170 * [backup-simplify]: Simplify (sqrt 1) into 1 14.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.171 * [backup-simplify]: Simplify (+ 0 0) into 0 14.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.171 * [taylor]: Taking taylor expansion of re in re 14.171 * [backup-simplify]: Simplify 0 into 0 14.171 * [backup-simplify]: Simplify 1 into 1 14.171 * [backup-simplify]: Simplify (* 1 1) into 1 14.172 * [backup-simplify]: Simplify (/ 1 1) into 1 14.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.172 * [taylor]: Taking taylor expansion of im in re 14.172 * [backup-simplify]: Simplify im into im 14.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.172 * [backup-simplify]: Simplify (+ 1 0) into 1 14.172 * [backup-simplify]: Simplify (sqrt 1) into 1 14.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.173 * [backup-simplify]: Simplify (+ 0 0) into 0 14.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.174 * [taylor]: Taking taylor expansion of re in re 14.174 * [backup-simplify]: Simplify 0 into 0 14.174 * [backup-simplify]: Simplify 1 into 1 14.174 * [backup-simplify]: Simplify (* 1 1) into 1 14.175 * [backup-simplify]: Simplify (/ 1 1) into 1 14.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.175 * [taylor]: Taking taylor expansion of im in re 14.175 * [backup-simplify]: Simplify im into im 14.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.175 * [backup-simplify]: Simplify (+ 1 0) into 1 14.175 * [backup-simplify]: Simplify (sqrt 1) into 1 14.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.177 * [backup-simplify]: Simplify (+ 0 0) into 0 14.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.178 * [taylor]: Taking taylor expansion of 1 in im 14.178 * [backup-simplify]: Simplify 1 into 1 14.178 * [taylor]: Taking taylor expansion of 0 in im 14.178 * [backup-simplify]: Simplify 0 into 0 14.178 * [backup-simplify]: Simplify 1 into 1 14.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.181 * [taylor]: Taking taylor expansion of 1/2 in im 14.181 * [backup-simplify]: Simplify 1/2 into 1/2 14.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.181 * [taylor]: Taking taylor expansion of im in im 14.181 * [backup-simplify]: Simplify 0 into 0 14.181 * [backup-simplify]: Simplify 1 into 1 14.181 * [backup-simplify]: Simplify (* 1 1) into 1 14.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.186 * [backup-simplify]: Simplify (+ 0 0) into 0 14.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.187 * [taylor]: Taking taylor expansion of 0 in im 14.187 * [backup-simplify]: Simplify 0 into 0 14.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.189 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1) 14.189 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.189 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.189 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.189 * [taylor]: Taking taylor expansion of im in im 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify 1 into 1 14.189 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.189 * [taylor]: Taking taylor expansion of re in im 14.189 * [backup-simplify]: Simplify re into re 14.189 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.190 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.190 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.190 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.190 * [backup-simplify]: Simplify (+ 0 0) into 0 14.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.190 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.191 * [taylor]: Taking taylor expansion of im in re 14.191 * [backup-simplify]: Simplify im into im 14.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.191 * [taylor]: Taking taylor expansion of re in re 14.191 * [backup-simplify]: Simplify 0 into 0 14.191 * [backup-simplify]: Simplify 1 into 1 14.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.191 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.191 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.191 * [backup-simplify]: Simplify (+ 0 0) into 0 14.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.192 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.192 * [taylor]: Taking taylor expansion of im in re 14.192 * [backup-simplify]: Simplify im into im 14.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.192 * [taylor]: Taking taylor expansion of re in re 14.192 * [backup-simplify]: Simplify 0 into 0 14.192 * [backup-simplify]: Simplify 1 into 1 14.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.192 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.192 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.193 * [backup-simplify]: Simplify (+ 0 0) into 0 14.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.193 * [taylor]: Taking taylor expansion of im in im 14.193 * [backup-simplify]: Simplify 0 into 0 14.193 * [backup-simplify]: Simplify 1 into 1 14.193 * [backup-simplify]: Simplify 0 into 0 14.193 * [taylor]: Taking taylor expansion of 0 in im 14.193 * [backup-simplify]: Simplify 0 into 0 14.193 * [backup-simplify]: Simplify 0 into 0 14.193 * [backup-simplify]: Simplify 1 into 1 14.193 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.194 * [backup-simplify]: Simplify (* 1 1) into 1 14.194 * [backup-simplify]: Simplify (+ 0 1) into 1 14.195 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.195 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.195 * [taylor]: Taking taylor expansion of 1/2 in im 14.195 * [backup-simplify]: Simplify 1/2 into 1/2 14.195 * [taylor]: Taking taylor expansion of im in im 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify 1 into 1 14.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.203 * [backup-simplify]: Simplify 0 into 0 14.203 * [backup-simplify]: Simplify 0 into 0 14.203 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.205 * [backup-simplify]: Simplify (+ 0 0) into 0 14.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.205 * [taylor]: Taking taylor expansion of 0 in im 14.205 * [backup-simplify]: Simplify 0 into 0 14.205 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 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 (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.207 * [taylor]: Taking taylor expansion of im in im 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.208 * [backup-simplify]: Simplify (* 1 1) into 1 14.208 * [backup-simplify]: Simplify (/ 1 1) into 1 14.208 * [backup-simplify]: Simplify (+ 0 1) into 1 14.209 * [backup-simplify]: Simplify (sqrt 1) into 1 14.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.211 * [backup-simplify]: Simplify (+ 0 0) into 0 14.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.211 * [taylor]: Taking taylor expansion of re in re 14.212 * [backup-simplify]: Simplify 0 into 0 14.212 * [backup-simplify]: Simplify 1 into 1 14.212 * [backup-simplify]: Simplify (* 1 1) into 1 14.212 * [backup-simplify]: Simplify (/ 1 1) into 1 14.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.212 * [taylor]: Taking taylor expansion of im in re 14.212 * [backup-simplify]: Simplify im into im 14.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.214 * [backup-simplify]: Simplify (+ 1 0) into 1 14.214 * [backup-simplify]: Simplify (sqrt 1) into 1 14.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.216 * [backup-simplify]: Simplify (+ 0 0) into 0 14.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.217 * [taylor]: Taking taylor expansion of re in re 14.217 * [backup-simplify]: Simplify 0 into 0 14.217 * [backup-simplify]: Simplify 1 into 1 14.217 * [backup-simplify]: Simplify (* 1 1) into 1 14.218 * [backup-simplify]: Simplify (/ 1 1) into 1 14.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.218 * [taylor]: Taking taylor expansion of im in re 14.218 * [backup-simplify]: Simplify im into im 14.218 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.219 * [backup-simplify]: Simplify (+ 1 0) into 1 14.219 * [backup-simplify]: Simplify (sqrt 1) into 1 14.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.221 * [backup-simplify]: Simplify (+ 0 0) into 0 14.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.221 * [taylor]: Taking taylor expansion of 1 in im 14.222 * [backup-simplify]: Simplify 1 into 1 14.222 * [taylor]: Taking taylor expansion of 0 in im 14.222 * [backup-simplify]: Simplify 0 into 0 14.222 * [backup-simplify]: Simplify 1 into 1 14.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.225 * [taylor]: Taking taylor expansion of 1/2 in im 14.225 * [backup-simplify]: Simplify 1/2 into 1/2 14.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.225 * [taylor]: Taking taylor expansion of im in im 14.225 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify 1 into 1 14.226 * [backup-simplify]: Simplify (* 1 1) into 1 14.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.227 * [backup-simplify]: Simplify 0 into 0 14.227 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.230 * [backup-simplify]: Simplify (+ 0 0) into 0 14.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.231 * [taylor]: Taking taylor expansion of 0 in im 14.231 * [backup-simplify]: Simplify 0 into 0 14.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.233 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.233 * [taylor]: Taking taylor expansion of re in im 14.233 * [backup-simplify]: Simplify re into re 14.233 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.234 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.234 * [taylor]: Taking taylor expansion of im in im 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * [backup-simplify]: Simplify (* 1 1) into 1 14.234 * [backup-simplify]: Simplify (/ 1 1) into 1 14.235 * [backup-simplify]: Simplify (+ 0 1) into 1 14.235 * [backup-simplify]: Simplify (sqrt 1) into 1 14.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.237 * [backup-simplify]: Simplify (+ 0 0) into 0 14.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.238 * [taylor]: Taking taylor expansion of re in re 14.238 * [backup-simplify]: Simplify 0 into 0 14.238 * [backup-simplify]: Simplify 1 into 1 14.238 * [backup-simplify]: Simplify (* 1 1) into 1 14.239 * [backup-simplify]: Simplify (/ 1 1) into 1 14.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.239 * [taylor]: Taking taylor expansion of im in re 14.239 * [backup-simplify]: Simplify im into im 14.239 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.240 * [backup-simplify]: Simplify (+ 1 0) into 1 14.240 * [backup-simplify]: Simplify (sqrt 1) into 1 14.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.242 * [backup-simplify]: Simplify (+ 0 0) into 0 14.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.242 * [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 14.243 * [backup-simplify]: Simplify (/ 1 1) into 1 14.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.243 * [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 14.245 * [backup-simplify]: Simplify (sqrt 1) into 1 14.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.247 * [taylor]: Taking taylor expansion of 1 in im 14.247 * [backup-simplify]: Simplify 1 into 1 14.247 * [taylor]: Taking taylor expansion of 0 in im 14.247 * [backup-simplify]: Simplify 0 into 0 14.247 * [backup-simplify]: Simplify 1 into 1 14.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.249 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.250 * [taylor]: Taking taylor expansion of 1/2 in im 14.250 * [backup-simplify]: Simplify 1/2 into 1/2 14.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.251 * [taylor]: Taking taylor expansion of im in im 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify 1 into 1 14.251 * [backup-simplify]: Simplify (* 1 1) into 1 14.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.253 * [backup-simplify]: Simplify 0 into 0 14.253 * [backup-simplify]: Simplify 0 into 0 14.253 * [backup-simplify]: Simplify 0 into 0 14.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.256 * [backup-simplify]: Simplify (+ 0 0) into 0 14.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.257 * [taylor]: Taking taylor expansion of 0 in im 14.257 * [backup-simplify]: Simplify 0 into 0 14.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.259 * [backup-simplify]: Simplify 0 into 0 14.259 * [backup-simplify]: Simplify 0 into 0 14.259 * [backup-simplify]: Simplify 0 into 0 14.259 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.259 * * * [progress]: simplifying candidates 14.259 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 14.259 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 14.259 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 14.259 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 14.260 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 14.260 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 14.260 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 14.260 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 14.260 * * [simplify]: iters left: 6 (8 enodes) 14.264 * * [simplify]: iters left: 5 (26 enodes) 14.271 * * [simplify]: Extracting #0: cost 1 inf + 0 14.271 * * [simplify]: Extracting #1: cost 4 inf + 0 14.271 * * [simplify]: Extracting #2: cost 7 inf + 0 14.271 * * [simplify]: Extracting #3: cost 10 inf + 0 14.271 * * [simplify]: Extracting #4: cost 14 inf + 0 14.271 * * [simplify]: Extracting #5: cost 10 inf + 84 14.271 * * [simplify]: Extracting #6: cost 8 inf + 166 14.272 * * [simplify]: Extracting #7: cost 4 inf + 854 14.272 * * [simplify]: Extracting #8: cost 1 inf + 1540 14.273 * * [simplify]: Extracting #9: cost 0 inf + 1782 14.273 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 14.273 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))))))) 14.274 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 14.274 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 14.274 * * [simplify]: iters left: 6 (7 enodes) 14.277 * * [simplify]: iters left: 5 (22 enodes) 14.283 * * [simplify]: Extracting #0: cost 1 inf + 0 14.283 * * [simplify]: Extracting #1: cost 3 inf + 0 14.283 * * [simplify]: Extracting #2: cost 5 inf + 0 14.283 * * [simplify]: Extracting #3: cost 8 inf + 0 14.283 * * [simplify]: Extracting #4: cost 12 inf + 0 14.283 * * [simplify]: Extracting #5: cost 10 inf + 2 14.284 * * [simplify]: Extracting #6: cost 1 inf + 936 14.284 * * [simplify]: Extracting #7: cost 0 inf + 1138 14.284 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 14.284 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))) 14.284 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 14.285 * [simplify]: Simplifying (sqrt 1) 14.285 * * [simplify]: iters left: 1 (2 enodes) 14.287 * * [simplify]: Extracting #0: cost 1 inf + 0 14.287 * * [simplify]: Extracting #1: cost 0 inf + 1 14.287 * [simplify]: Simplified to 1 14.287 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))))))) 14.287 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 14.287 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 14.287 * * [simplify]: iters left: 6 (9 enodes) 14.290 * * [simplify]: iters left: 5 (45 enodes) 14.301 * * [simplify]: iters left: 4 (100 enodes) 14.329 * * [simplify]: iters left: 3 (201 enodes) 14.375 * * [simplify]: iters left: 2 (406 enodes) 14.543 * * [simplify]: Extracting #0: cost 1 inf + 0 14.543 * * [simplify]: Extracting #1: cost 3 inf + 0 14.543 * * [simplify]: Extracting #2: cost 6 inf + 0 14.543 * * [simplify]: Extracting #3: cost 62 inf + 0 14.543 * * [simplify]: Extracting #4: cost 166 inf + 460 14.545 * * [simplify]: Extracting #5: cost 131 inf + 12951 14.549 * * [simplify]: Extracting #6: cost 49 inf + 45746 14.554 * * [simplify]: Extracting #7: cost 1 inf + 66256 14.560 * * [simplify]: Extracting #8: cost 0 inf + 65919 14.565 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 14.565 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (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))))))))) 14.565 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 14.566 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.566 * * [simplify]: iters left: 6 (8 enodes) 14.568 * * [simplify]: iters left: 5 (37 enodes) 14.574 * * [simplify]: iters left: 4 (67 enodes) 14.590 * * [simplify]: iters left: 3 (123 enodes) 14.644 * * [simplify]: iters left: 2 (278 enodes) 14.796 * * [simplify]: Extracting #0: cost 1 inf + 0 14.796 * * [simplify]: Extracting #1: cost 3 inf + 0 14.796 * * [simplify]: Extracting #2: cost 50 inf + 0 14.797 * * [simplify]: Extracting #3: cost 150 inf + 0 14.799 * * [simplify]: Extracting #4: cost 194 inf + 1180 14.804 * * [simplify]: Extracting #5: cost 123 inf + 12421 14.815 * * [simplify]: Extracting #6: cost 12 inf + 33804 14.830 * * [simplify]: Extracting #7: cost 0 inf + 36129 14.843 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.843 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))))))) 14.844 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 14.844 * [simplify]: Simplifying (+ (* re re) (* im im)) 14.844 * * [simplify]: iters left: 4 (5 enodes) 14.845 * * [simplify]: iters left: 3 (16 enodes) 14.847 * * [simplify]: Extracting #0: cost 1 inf + 0 14.847 * * [simplify]: Extracting #1: cost 4 inf + 0 14.847 * * [simplify]: Extracting #2: cost 8 inf + 0 14.848 * * [simplify]: Extracting #3: cost 4 inf + 84 14.848 * * [simplify]: Extracting #4: cost 0 inf + 410 14.848 * [simplify]: Simplified to (+ (* re re) (* im im)) 14.848 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))))))) 14.848 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 14.848 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 14.848 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 14.848 * * [simplify]: iters left: 5 (6 enodes) 14.850 * * [simplify]: iters left: 4 (19 enodes) 14.852 * * [simplify]: Extracting #0: cost 1 inf + 0 14.852 * * [simplify]: Extracting #1: cost 3 inf + 0 14.852 * * [simplify]: Extracting #2: cost 6 inf + 0 14.853 * * [simplify]: Extracting #3: cost 10 inf + 0 14.853 * * [simplify]: Extracting #4: cost 6 inf + 84 14.853 * * [simplify]: Extracting #5: cost 0 inf + 734 14.853 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.853 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))))))) 14.853 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 14.853 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))))> 14.853 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 14.853 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 14.853 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 14.853 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 14.854 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 14.854 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 14.854 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 14.854 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 14.854 * * [simplify]: iters left: 6 (8 enodes) 14.856 * * [simplify]: iters left: 5 (26 enodes) 14.859 * * [simplify]: Extracting #0: cost 1 inf + 0 14.859 * * [simplify]: Extracting #1: cost 4 inf + 0 14.859 * * [simplify]: Extracting #2: cost 7 inf + 0 14.859 * * [simplify]: Extracting #3: cost 10 inf + 0 14.859 * * [simplify]: Extracting #4: cost 14 inf + 0 14.859 * * [simplify]: Extracting #5: cost 10 inf + 84 14.859 * * [simplify]: Extracting #6: cost 8 inf + 166 14.859 * * [simplify]: Extracting #7: cost 4 inf + 854 14.859 * * [simplify]: Extracting #8: cost 1 inf + 1540 14.860 * * [simplify]: Extracting #9: cost 0 inf + 1782 14.860 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 14.860 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 14.860 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 14.860 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 14.861 * * [simplify]: iters left: 6 (7 enodes) 14.862 * * [simplify]: iters left: 5 (22 enodes) 14.866 * * [simplify]: Extracting #0: cost 1 inf + 0 14.866 * * [simplify]: Extracting #1: cost 3 inf + 0 14.866 * * [simplify]: Extracting #2: cost 5 inf + 0 14.866 * * [simplify]: Extracting #3: cost 8 inf + 0 14.866 * * [simplify]: Extracting #4: cost 12 inf + 0 14.866 * * [simplify]: Extracting #5: cost 10 inf + 2 14.866 * * [simplify]: Extracting #6: cost 1 inf + 936 14.867 * * [simplify]: Extracting #7: cost 0 inf + 1138 14.867 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 14.867 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 14.868 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 14.868 * [simplify]: Simplifying (sqrt 1) 14.868 * * [simplify]: iters left: 1 (2 enodes) 14.871 * * [simplify]: Extracting #0: cost 1 inf + 0 14.871 * * [simplify]: Extracting #1: cost 0 inf + 1 14.871 * [simplify]: Simplified to 1 14.871 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 14.872 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 14.872 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 14.872 * * [simplify]: iters left: 6 (9 enodes) 14.878 * * [simplify]: iters left: 5 (45 enodes) 14.900 * * [simplify]: iters left: 4 (100 enodes) 14.936 * * [simplify]: iters left: 3 (201 enodes) 14.984 * * [simplify]: iters left: 2 (406 enodes) 15.147 * * [simplify]: Extracting #0: cost 1 inf + 0 15.147 * * [simplify]: Extracting #1: cost 3 inf + 0 15.147 * * [simplify]: Extracting #2: cost 6 inf + 0 15.147 * * [simplify]: Extracting #3: cost 62 inf + 0 15.148 * * [simplify]: Extracting #4: cost 166 inf + 460 15.158 * * [simplify]: Extracting #5: cost 131 inf + 12951 15.165 * * [simplify]: Extracting #6: cost 49 inf + 45746 15.172 * * [simplify]: Extracting #7: cost 1 inf + 66256 15.177 * * [simplify]: Extracting #8: cost 0 inf + 65919 15.183 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 15.183 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (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))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.183 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 15.183 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.183 * * [simplify]: iters left: 6 (8 enodes) 15.185 * * [simplify]: iters left: 5 (37 enodes) 15.192 * * [simplify]: iters left: 4 (67 enodes) 15.203 * * [simplify]: iters left: 3 (123 enodes) 15.245 * * [simplify]: iters left: 2 (278 enodes) 15.380 * * [simplify]: Extracting #0: cost 1 inf + 0 15.380 * * [simplify]: Extracting #1: cost 3 inf + 0 15.380 * * [simplify]: Extracting #2: cost 50 inf + 0 15.381 * * [simplify]: Extracting #3: cost 150 inf + 0 15.382 * * [simplify]: Extracting #4: cost 194 inf + 1180 15.387 * * [simplify]: Extracting #5: cost 123 inf + 12421 15.399 * * [simplify]: Extracting #6: cost 12 inf + 33804 15.414 * * [simplify]: Extracting #7: cost 0 inf + 36129 15.429 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.429 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.429 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 15.430 * [simplify]: Simplifying (+ (* re re) (* im im)) 15.430 * * [simplify]: iters left: 4 (5 enodes) 15.432 * * [simplify]: iters left: 3 (16 enodes) 15.437 * * [simplify]: Extracting #0: cost 1 inf + 0 15.437 * * [simplify]: Extracting #1: cost 4 inf + 0 15.437 * * [simplify]: Extracting #2: cost 8 inf + 0 15.437 * * [simplify]: Extracting #3: cost 4 inf + 84 15.437 * * [simplify]: Extracting #4: cost 0 inf + 410 15.437 * [simplify]: Simplified to (+ (* re re) (* im im)) 15.437 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.438 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 15.438 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 15.438 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 15.438 * * [simplify]: iters left: 5 (6 enodes) 15.441 * * [simplify]: iters left: 4 (19 enodes) 15.446 * * [simplify]: Extracting #0: cost 1 inf + 0 15.446 * * [simplify]: Extracting #1: cost 3 inf + 0 15.446 * * [simplify]: Extracting #2: cost 6 inf + 0 15.446 * * [simplify]: Extracting #3: cost 10 inf + 0 15.446 * * [simplify]: Extracting #4: cost 6 inf + 84 15.447 * * [simplify]: Extracting #5: cost 0 inf + 734 15.447 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 15.447 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.447 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 15.447 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 15.448 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 15.448 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 15.449 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.449 * * [simplify]: iters left: 6 (8 enodes) 15.452 * * [simplify]: iters left: 5 (26 enodes) 15.464 * * [simplify]: Extracting #0: cost 1 inf + 0 15.464 * * [simplify]: Extracting #1: cost 4 inf + 0 15.464 * * [simplify]: Extracting #2: cost 7 inf + 0 15.464 * * [simplify]: Extracting #3: cost 10 inf + 0 15.464 * * [simplify]: Extracting #4: cost 14 inf + 0 15.464 * * [simplify]: Extracting #5: cost 10 inf + 84 15.464 * * [simplify]: Extracting #6: cost 8 inf + 166 15.464 * * [simplify]: Extracting #7: cost 4 inf + 854 15.464 * * [simplify]: Extracting #8: cost 1 inf + 1540 15.465 * * [simplify]: Extracting #9: cost 0 inf + 1782 15.465 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 15.465 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.465 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 15.465 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 15.465 * * [simplify]: iters left: 6 (7 enodes) 15.467 * * [simplify]: iters left: 5 (22 enodes) 15.470 * * [simplify]: Extracting #0: cost 1 inf + 0 15.470 * * [simplify]: Extracting #1: cost 3 inf + 0 15.470 * * [simplify]: Extracting #2: cost 5 inf + 0 15.470 * * [simplify]: Extracting #3: cost 8 inf + 0 15.470 * * [simplify]: Extracting #4: cost 12 inf + 0 15.470 * * [simplify]: Extracting #5: cost 10 inf + 2 15.470 * * [simplify]: Extracting #6: cost 1 inf + 936 15.470 * * [simplify]: Extracting #7: cost 0 inf + 1138 15.471 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 15.471 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.471 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 15.471 * [simplify]: Simplifying (sqrt 1) 15.471 * * [simplify]: iters left: 1 (2 enodes) 15.473 * * [simplify]: Extracting #0: cost 1 inf + 0 15.473 * * [simplify]: Extracting #1: cost 0 inf + 1 15.473 * [simplify]: Simplified to 1 15.474 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.474 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 15.474 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 15.474 * * [simplify]: iters left: 6 (9 enodes) 15.477 * * [simplify]: iters left: 5 (45 enodes) 15.488 * * [simplify]: iters left: 4 (100 enodes) 15.513 * * [simplify]: iters left: 3 (201 enodes) 15.564 * * [simplify]: iters left: 2 (406 enodes) 15.696 * * [simplify]: Extracting #0: cost 1 inf + 0 15.696 * * [simplify]: Extracting #1: cost 3 inf + 0 15.696 * * [simplify]: Extracting #2: cost 6 inf + 0 15.696 * * [simplify]: Extracting #3: cost 62 inf + 0 15.697 * * [simplify]: Extracting #4: cost 166 inf + 460 15.698 * * [simplify]: Extracting #5: cost 131 inf + 12951 15.702 * * [simplify]: Extracting #6: cost 49 inf + 45746 15.707 * * [simplify]: Extracting #7: cost 1 inf + 66256 15.713 * * [simplify]: Extracting #8: cost 0 inf + 65919 15.728 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 15.728 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (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))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.728 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 15.728 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.728 * * [simplify]: iters left: 6 (8 enodes) 15.731 * * [simplify]: iters left: 5 (37 enodes) 15.737 * * [simplify]: iters left: 4 (67 enodes) 15.749 * * [simplify]: iters left: 3 (123 enodes) 15.787 * * [simplify]: iters left: 2 (278 enodes) 15.936 * * [simplify]: Extracting #0: cost 1 inf + 0 15.936 * * [simplify]: Extracting #1: cost 3 inf + 0 15.936 * * [simplify]: Extracting #2: cost 50 inf + 0 15.936 * * [simplify]: Extracting #3: cost 150 inf + 0 15.937 * * [simplify]: Extracting #4: cost 194 inf + 1180 15.940 * * [simplify]: Extracting #5: cost 123 inf + 12421 15.947 * * [simplify]: Extracting #6: cost 12 inf + 33804 15.954 * * [simplify]: Extracting #7: cost 0 inf + 36129 15.962 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.962 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.962 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 15.962 * [simplify]: Simplifying (+ (* re re) (* im im)) 15.963 * * [simplify]: iters left: 4 (5 enodes) 15.964 * * [simplify]: iters left: 3 (16 enodes) 15.966 * * [simplify]: Extracting #0: cost 1 inf + 0 15.966 * * [simplify]: Extracting #1: cost 4 inf + 0 15.966 * * [simplify]: Extracting #2: cost 8 inf + 0 15.966 * * [simplify]: Extracting #3: cost 4 inf + 84 15.966 * * [simplify]: Extracting #4: cost 0 inf + 410 15.966 * [simplify]: Simplified to (+ (* re re) (* im im)) 15.966 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.966 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 15.966 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 15.967 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 15.967 * * [simplify]: iters left: 5 (6 enodes) 15.968 * * [simplify]: iters left: 4 (19 enodes) 15.970 * * [simplify]: Extracting #0: cost 1 inf + 0 15.970 * * [simplify]: Extracting #1: cost 3 inf + 0 15.970 * * [simplify]: Extracting #2: cost 6 inf + 0 15.970 * * [simplify]: Extracting #3: cost 10 inf + 0 15.970 * * [simplify]: Extracting #4: cost 6 inf + 84 15.971 * * [simplify]: Extracting #5: cost 0 inf + 734 15.971 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 15.971 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.971 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 15.971 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 15.972 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.972 * * [simplify]: iters left: 6 (8 enodes) 15.976 * * [simplify]: iters left: 5 (26 enodes) 15.982 * * [simplify]: Extracting #0: cost 1 inf + 0 15.982 * * [simplify]: Extracting #1: cost 4 inf + 0 15.983 * * [simplify]: Extracting #2: cost 7 inf + 0 15.983 * * [simplify]: Extracting #3: cost 10 inf + 0 15.983 * * [simplify]: Extracting #4: cost 14 inf + 0 15.983 * * [simplify]: Extracting #5: cost 10 inf + 84 15.983 * * [simplify]: Extracting #6: cost 8 inf + 166 15.983 * * [simplify]: Extracting #7: cost 4 inf + 854 15.984 * * [simplify]: Extracting #8: cost 1 inf + 1540 15.984 * * [simplify]: Extracting #9: cost 0 inf + 1782 15.985 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 15.985 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.986 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 15.986 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 15.986 * * [simplify]: iters left: 6 (7 enodes) 15.989 * * [simplify]: iters left: 5 (22 enodes) 15.995 * * [simplify]: Extracting #0: cost 1 inf + 0 15.995 * * [simplify]: Extracting #1: cost 3 inf + 0 15.995 * * [simplify]: Extracting #2: cost 5 inf + 0 15.995 * * [simplify]: Extracting #3: cost 8 inf + 0 15.995 * * [simplify]: Extracting #4: cost 12 inf + 0 15.995 * * [simplify]: Extracting #5: cost 10 inf + 2 15.996 * * [simplify]: Extracting #6: cost 1 inf + 936 15.996 * * [simplify]: Extracting #7: cost 0 inf + 1138 15.997 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 15.997 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 15.997 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 15.997 * [simplify]: Simplifying (sqrt 1) 15.998 * * [simplify]: iters left: 1 (2 enodes) 16.001 * * [simplify]: Extracting #0: cost 1 inf + 0 16.001 * * [simplify]: Extracting #1: cost 0 inf + 1 16.001 * [simplify]: Simplified to 1 16.001 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.001 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 16.002 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.002 * * [simplify]: iters left: 6 (9 enodes) 16.005 * * [simplify]: iters left: 5 (45 enodes) 16.019 * * [simplify]: iters left: 4 (100 enodes) 16.050 * * [simplify]: iters left: 3 (201 enodes) 16.139 * * [simplify]: iters left: 2 (406 enodes) 16.284 * * [simplify]: Extracting #0: cost 1 inf + 0 16.284 * * [simplify]: Extracting #1: cost 3 inf + 0 16.284 * * [simplify]: Extracting #2: cost 6 inf + 0 16.284 * * [simplify]: Extracting #3: cost 62 inf + 0 16.285 * * [simplify]: Extracting #4: cost 166 inf + 460 16.286 * * [simplify]: Extracting #5: cost 131 inf + 12951 16.290 * * [simplify]: Extracting #6: cost 49 inf + 45746 16.296 * * [simplify]: Extracting #7: cost 1 inf + 66256 16.303 * * [simplify]: Extracting #8: cost 0 inf + 65919 16.309 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 16.309 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (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))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.309 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 16.309 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.310 * * [simplify]: iters left: 6 (8 enodes) 16.312 * * [simplify]: iters left: 5 (37 enodes) 16.322 * * [simplify]: iters left: 4 (67 enodes) 16.339 * * [simplify]: iters left: 3 (123 enodes) 16.367 * * [simplify]: iters left: 2 (278 enodes) 16.476 * * [simplify]: Extracting #0: cost 1 inf + 0 16.476 * * [simplify]: Extracting #1: cost 3 inf + 0 16.476 * * [simplify]: Extracting #2: cost 50 inf + 0 16.477 * * [simplify]: Extracting #3: cost 150 inf + 0 16.478 * * [simplify]: Extracting #4: cost 194 inf + 1180 16.480 * * [simplify]: Extracting #5: cost 123 inf + 12421 16.486 * * [simplify]: Extracting #6: cost 12 inf + 33804 16.497 * * [simplify]: Extracting #7: cost 0 inf + 36129 16.512 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.512 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.512 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 16.513 * [simplify]: Simplifying (+ (* re re) (* im im)) 16.513 * * [simplify]: iters left: 4 (5 enodes) 16.515 * * [simplify]: iters left: 3 (16 enodes) 16.520 * * [simplify]: Extracting #0: cost 1 inf + 0 16.520 * * [simplify]: Extracting #1: cost 4 inf + 0 16.520 * * [simplify]: Extracting #2: cost 8 inf + 0 16.520 * * [simplify]: Extracting #3: cost 4 inf + 84 16.520 * * [simplify]: Extracting #4: cost 0 inf + 410 16.520 * [simplify]: Simplified to (+ (* re re) (* im im)) 16.520 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.521 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 16.521 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 16.521 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 16.521 * * [simplify]: iters left: 5 (6 enodes) 16.524 * * [simplify]: iters left: 4 (19 enodes) 16.526 * * [simplify]: Extracting #0: cost 1 inf + 0 16.526 * * [simplify]: Extracting #1: cost 3 inf + 0 16.526 * * [simplify]: Extracting #2: cost 6 inf + 0 16.526 * * [simplify]: Extracting #3: cost 10 inf + 0 16.526 * * [simplify]: Extracting #4: cost 6 inf + 84 16.527 * * [simplify]: Extracting #5: cost 0 inf + 734 16.527 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 16.527 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.527 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 16.527 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 16.527 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 16.527 * [simplify]: Simplifying im 16.527 * * [simplify]: iters left: 0 (1 enodes) 16.528 * * [simplify]: Extracting #0: cost 1 inf + 0 16.528 * * [simplify]: Extracting #1: cost 0 inf + 1 16.528 * [simplify]: Simplified to im 16.528 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ im re))))))))) 16.528 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 16.528 * [simplify]: Simplifying re 16.528 * * [simplify]: iters left: 0 (1 enodes) 16.528 * * [simplify]: Extracting #0: cost 1 inf + 0 16.528 * * [simplify]: Extracting #1: cost 0 inf + 1 16.529 * [simplify]: Simplified to re 16.529 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ re re))))))))) 16.529 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 16.529 * [simplify]: Simplifying (* -1 re) 16.529 * * [simplify]: iters left: 2 (3 enodes) 16.530 * * [simplify]: iters left: 1 (11 enodes) 16.532 * * [simplify]: Extracting #0: cost 1 inf + 0 16.532 * * [simplify]: Extracting #1: cost 4 inf + 0 16.532 * * [simplify]: Extracting #2: cost 0 inf + 84 16.532 * [simplify]: Simplified to (- re) 16.532 * [simplify]: Simplified (2 2 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- re) re))))))))) 16.532 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 16.532 * [simplify]: Simplifying im 16.532 * * [simplify]: iters left: 0 (1 enodes) 16.533 * * [simplify]: Extracting #0: cost 1 inf + 0 16.533 * * [simplify]: Extracting #1: cost 0 inf + 1 16.533 * [simplify]: Simplified to im 16.533 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ im re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.533 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 16.533 * [simplify]: Simplifying re 16.533 * * [simplify]: iters left: 0 (1 enodes) 16.533 * * [simplify]: Extracting #0: cost 1 inf + 0 16.533 * * [simplify]: Extracting #1: cost 0 inf + 1 16.533 * [simplify]: Simplified to re 16.533 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ re re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.533 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 16.534 * [simplify]: Simplifying (* -1 re) 16.534 * * [simplify]: iters left: 2 (3 enodes) 16.535 * * [simplify]: iters left: 1 (11 enodes) 16.536 * * [simplify]: Extracting #0: cost 1 inf + 0 16.536 * * [simplify]: Extracting #1: cost 4 inf + 0 16.536 * * [simplify]: Extracting #2: cost 0 inf + 84 16.536 * [simplify]: Simplified to (- re) 16.537 * [simplify]: Simplified (2 2 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- re) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.537 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 16.537 * [simplify]: Simplifying im 16.537 * * [simplify]: iters left: 0 (1 enodes) 16.537 * * [simplify]: Extracting #0: cost 1 inf + 0 16.537 * * [simplify]: Extracting #1: cost 0 inf + 1 16.537 * [simplify]: Simplified to im 16.537 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ im re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.538 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 16.538 * [simplify]: Simplifying re 16.538 * * [simplify]: iters left: 0 (1 enodes) 16.538 * * [simplify]: Extracting #0: cost 1 inf + 0 16.538 * * [simplify]: Extracting #1: cost 0 inf + 1 16.538 * [simplify]: Simplified to re 16.538 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ re re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.538 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 16.538 * [simplify]: Simplifying (* -1 re) 16.538 * * [simplify]: iters left: 2 (3 enodes) 16.540 * * [simplify]: iters left: 1 (11 enodes) 16.541 * * [simplify]: Extracting #0: cost 1 inf + 0 16.541 * * [simplify]: Extracting #1: cost 4 inf + 0 16.541 * * [simplify]: Extracting #2: cost 0 inf + 84 16.541 * [simplify]: Simplified to (- re) 16.541 * [simplify]: Simplified (2 2 1 2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- re) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.542 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 16.542 * [simplify]: Simplifying im 16.542 * * [simplify]: iters left: 0 (1 enodes) 16.542 * * [simplify]: Extracting #0: cost 1 inf + 0 16.542 * * [simplify]: Extracting #1: cost 0 inf + 1 16.542 * [simplify]: Simplified to im 16.542 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ im re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.542 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 16.542 * [simplify]: Simplifying re 16.543 * * [simplify]: iters left: 0 (1 enodes) 16.543 * * [simplify]: Extracting #0: cost 1 inf + 0 16.543 * * [simplify]: Extracting #1: cost 0 inf + 1 16.543 * [simplify]: Simplified to re 16.543 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ re re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.543 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 16.543 * [simplify]: Simplifying (* -1 re) 16.543 * * [simplify]: iters left: 2 (3 enodes) 16.544 * * [simplify]: iters left: 1 (11 enodes) 16.546 * * [simplify]: Extracting #0: cost 1 inf + 0 16.546 * * [simplify]: Extracting #1: cost 4 inf + 0 16.546 * * [simplify]: Extracting #2: cost 0 inf + 84 16.546 * [simplify]: Simplified to (- re) 16.546 * [simplify]: Simplified (2 2 1 2 1 1 1 1 2 1) to (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- re) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))) 16.546 * * * [progress]: adding candidates to table 17.964 * * [progress]: iteration 4 / 4 17.964 * * * [progress]: picking best candidate 17.986 * * * * [pick]: Picked # 17.986 * * * [progress]: localizing error 18.013 * * * [progress]: generating rewritten candidates 18.013 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 18.025 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 18.041 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 18.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 18.163 * * * [progress]: generating series expansions 18.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 18.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 18.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 18.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.164 * [taylor]: Taking taylor expansion of im in im 18.164 * [backup-simplify]: Simplify 0 into 0 18.164 * [backup-simplify]: Simplify 1 into 1 18.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.164 * [taylor]: Taking taylor expansion of re in im 18.164 * [backup-simplify]: Simplify re into re 18.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.164 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.165 * [backup-simplify]: Simplify (+ 0 0) into 0 18.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.165 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.165 * [taylor]: Taking taylor expansion of im in re 18.165 * [backup-simplify]: Simplify im into im 18.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.165 * [taylor]: Taking taylor expansion of re in re 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify 1 into 1 18.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.166 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.166 * [backup-simplify]: Simplify (+ 0 0) into 0 18.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.167 * [taylor]: Taking taylor expansion of im in re 18.167 * [backup-simplify]: Simplify im into im 18.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.167 * [taylor]: Taking taylor expansion of re in re 18.167 * [backup-simplify]: Simplify 0 into 0 18.167 * [backup-simplify]: Simplify 1 into 1 18.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.167 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.167 * [backup-simplify]: Simplify (+ 0 0) into 0 18.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.168 * [taylor]: Taking taylor expansion of im in im 18.168 * [backup-simplify]: Simplify 0 into 0 18.168 * [backup-simplify]: Simplify 1 into 1 18.168 * [backup-simplify]: Simplify 0 into 0 18.168 * [taylor]: Taking taylor expansion of 0 in im 18.168 * [backup-simplify]: Simplify 0 into 0 18.168 * [backup-simplify]: Simplify 0 into 0 18.168 * [backup-simplify]: Simplify 1 into 1 18.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 18.169 * [backup-simplify]: Simplify (* 1 1) into 1 18.169 * [backup-simplify]: Simplify (+ 0 1) into 1 18.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 18.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 18.170 * [taylor]: Taking taylor expansion of 1/2 in im 18.170 * [backup-simplify]: Simplify 1/2 into 1/2 18.170 * [taylor]: Taking taylor expansion of im in im 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify 1 into 1 18.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.171 * [backup-simplify]: Simplify 0 into 0 18.171 * [backup-simplify]: Simplify 0 into 0 18.172 * [backup-simplify]: Simplify 0 into 0 18.172 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 18.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.173 * [backup-simplify]: Simplify (+ 0 0) into 0 18.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 18.174 * [taylor]: Taking taylor expansion of 0 in im 18.174 * [backup-simplify]: Simplify 0 into 0 18.174 * [backup-simplify]: Simplify 0 into 0 18.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.175 * [backup-simplify]: Simplify 0 into 0 18.175 * [backup-simplify]: Simplify 0 into 0 18.175 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 18.175 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 18.175 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 18.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.175 * [taylor]: Taking taylor expansion of re in im 18.175 * [backup-simplify]: Simplify re into re 18.175 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.175 * [taylor]: Taking taylor expansion of im in im 18.175 * [backup-simplify]: Simplify 0 into 0 18.176 * [backup-simplify]: Simplify 1 into 1 18.176 * [backup-simplify]: Simplify (* 1 1) into 1 18.176 * [backup-simplify]: Simplify (/ 1 1) into 1 18.177 * [backup-simplify]: Simplify (+ 0 1) into 1 18.177 * [backup-simplify]: Simplify (sqrt 1) into 1 18.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.179 * [backup-simplify]: Simplify (+ 0 0) into 0 18.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.180 * [taylor]: Taking taylor expansion of re in re 18.180 * [backup-simplify]: Simplify 0 into 0 18.180 * [backup-simplify]: Simplify 1 into 1 18.180 * [backup-simplify]: Simplify (* 1 1) into 1 18.180 * [backup-simplify]: Simplify (/ 1 1) into 1 18.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.180 * [taylor]: Taking taylor expansion of im in re 18.180 * [backup-simplify]: Simplify im into im 18.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.181 * [backup-simplify]: Simplify (+ 1 0) into 1 18.181 * [backup-simplify]: Simplify (sqrt 1) into 1 18.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.183 * [backup-simplify]: Simplify (+ 0 0) into 0 18.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.184 * [taylor]: Taking taylor expansion of re in re 18.184 * [backup-simplify]: Simplify 0 into 0 18.184 * [backup-simplify]: Simplify 1 into 1 18.184 * [backup-simplify]: Simplify (* 1 1) into 1 18.185 * [backup-simplify]: Simplify (/ 1 1) into 1 18.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.185 * [taylor]: Taking taylor expansion of im in re 18.185 * [backup-simplify]: Simplify im into im 18.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.185 * [backup-simplify]: Simplify (+ 1 0) into 1 18.186 * [backup-simplify]: Simplify (sqrt 1) into 1 18.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.187 * [backup-simplify]: Simplify (+ 0 0) into 0 18.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.188 * [taylor]: Taking taylor expansion of 1 in im 18.189 * [backup-simplify]: Simplify 1 into 1 18.189 * [taylor]: Taking taylor expansion of 0 in im 18.189 * [backup-simplify]: Simplify 0 into 0 18.189 * [backup-simplify]: Simplify 1 into 1 18.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.192 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 18.192 * [taylor]: Taking taylor expansion of 1/2 in im 18.192 * [backup-simplify]: Simplify 1/2 into 1/2 18.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.192 * [taylor]: Taking taylor expansion of im in im 18.192 * [backup-simplify]: Simplify 0 into 0 18.192 * [backup-simplify]: Simplify 1 into 1 18.192 * [backup-simplify]: Simplify (* 1 1) into 1 18.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.194 * [backup-simplify]: Simplify 0 into 0 18.194 * [backup-simplify]: Simplify 0 into 0 18.194 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.197 * [backup-simplify]: Simplify (+ 0 0) into 0 18.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.198 * [taylor]: Taking taylor expansion of 0 in im 18.198 * [backup-simplify]: Simplify 0 into 0 18.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 18.200 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 18.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 18.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.200 * [taylor]: Taking taylor expansion of re in im 18.200 * [backup-simplify]: Simplify re into re 18.200 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.201 * [taylor]: Taking taylor expansion of im in im 18.201 * [backup-simplify]: Simplify 0 into 0 18.201 * [backup-simplify]: Simplify 1 into 1 18.201 * [backup-simplify]: Simplify (* 1 1) into 1 18.201 * [backup-simplify]: Simplify (/ 1 1) into 1 18.202 * [backup-simplify]: Simplify (+ 0 1) into 1 18.202 * [backup-simplify]: Simplify (sqrt 1) into 1 18.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.204 * [backup-simplify]: Simplify (+ 0 0) into 0 18.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.205 * [taylor]: Taking taylor expansion of re in re 18.205 * [backup-simplify]: Simplify 0 into 0 18.205 * [backup-simplify]: Simplify 1 into 1 18.205 * [backup-simplify]: Simplify (* 1 1) into 1 18.205 * [backup-simplify]: Simplify (/ 1 1) into 1 18.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.206 * [taylor]: Taking taylor expansion of im in re 18.206 * [backup-simplify]: Simplify im into im 18.206 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.206 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.206 * [backup-simplify]: Simplify (+ 1 0) into 1 18.206 * [backup-simplify]: Simplify (sqrt 1) into 1 18.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.208 * [backup-simplify]: Simplify (+ 0 0) into 0 18.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.209 * [taylor]: Taking taylor expansion of re in re 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify 1 into 1 18.209 * [backup-simplify]: Simplify (* 1 1) into 1 18.210 * [backup-simplify]: Simplify (/ 1 1) into 1 18.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.210 * [taylor]: Taking taylor expansion of im in re 18.210 * [backup-simplify]: Simplify im into im 18.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.210 * [backup-simplify]: Simplify (+ 1 0) into 1 18.211 * [backup-simplify]: Simplify (sqrt 1) into 1 18.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.212 * [backup-simplify]: Simplify (+ 0 0) into 0 18.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.213 * [taylor]: Taking taylor expansion of 1 in im 18.213 * [backup-simplify]: Simplify 1 into 1 18.213 * [taylor]: Taking taylor expansion of 0 in im 18.213 * [backup-simplify]: Simplify 0 into 0 18.213 * [backup-simplify]: Simplify 1 into 1 18.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 18.217 * [taylor]: Taking taylor expansion of 1/2 in im 18.217 * [backup-simplify]: Simplify 1/2 into 1/2 18.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.217 * [taylor]: Taking taylor expansion of im in im 18.217 * [backup-simplify]: Simplify 0 into 0 18.217 * [backup-simplify]: Simplify 1 into 1 18.217 * [backup-simplify]: Simplify (* 1 1) into 1 18.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.221 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.222 * [backup-simplify]: Simplify (+ 0 0) into 0 18.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.223 * [taylor]: Taking taylor expansion of 0 in im 18.223 * [backup-simplify]: Simplify 0 into 0 18.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 18.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 18.225 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 18.225 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 18.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.225 * [taylor]: Taking taylor expansion of 2.0 in im 18.225 * [backup-simplify]: Simplify 2.0 into 2.0 18.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.226 * [taylor]: Taking taylor expansion of im in im 18.226 * [backup-simplify]: Simplify 0 into 0 18.226 * [backup-simplify]: Simplify 1 into 1 18.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.226 * [taylor]: Taking taylor expansion of 2.0 in im 18.226 * [backup-simplify]: Simplify 2.0 into 2.0 18.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.227 * [taylor]: Taking taylor expansion of im in im 18.227 * [backup-simplify]: Simplify 0 into 0 18.227 * [backup-simplify]: Simplify 1 into 1 18.228 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.228 * [backup-simplify]: Simplify 0 into 0 18.230 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 18.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 18.233 * [backup-simplify]: Simplify 0 into 0 18.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.236 * [backup-simplify]: Simplify 0 into 0 18.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.239 * [backup-simplify]: Simplify 0 into 0 18.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.242 * [backup-simplify]: Simplify 0 into 0 18.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.245 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 18.245 * [backup-simplify]: Simplify 0 into 0 18.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.248 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 18.249 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 18.249 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 18.249 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.249 * [taylor]: Taking taylor expansion of 2.0 in im 18.249 * [backup-simplify]: Simplify 2.0 into 2.0 18.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.251 * [taylor]: Taking taylor expansion of im in im 18.251 * [backup-simplify]: Simplify 0 into 0 18.251 * [backup-simplify]: Simplify 1 into 1 18.251 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.251 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.252 * [taylor]: Taking taylor expansion of 2.0 in im 18.252 * [backup-simplify]: Simplify 2.0 into 2.0 18.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.253 * [taylor]: Taking taylor expansion of im in im 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [backup-simplify]: Simplify 1 into 1 18.254 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.258 * [backup-simplify]: Simplify 0 into 0 18.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.260 * [backup-simplify]: Simplify 0 into 0 18.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.263 * [backup-simplify]: Simplify 0 into 0 18.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.266 * [backup-simplify]: Simplify 0 into 0 18.266 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 18.266 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 18.266 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 18.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.267 * [taylor]: Taking taylor expansion of 2.0 in im 18.267 * [backup-simplify]: Simplify 2.0 into 2.0 18.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.267 * [taylor]: Taking taylor expansion of im in im 18.267 * [backup-simplify]: Simplify 0 into 0 18.267 * [backup-simplify]: Simplify 1 into 1 18.268 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.268 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.268 * [taylor]: Taking taylor expansion of 2.0 in im 18.268 * [backup-simplify]: Simplify 2.0 into 2.0 18.268 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.269 * [taylor]: Taking taylor expansion of im in im 18.269 * [backup-simplify]: Simplify 0 into 0 18.269 * [backup-simplify]: Simplify 1 into 1 18.269 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.270 * [backup-simplify]: Simplify 0 into 0 18.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.271 * [backup-simplify]: Simplify 0 into 0 18.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.273 * [backup-simplify]: Simplify 0 into 0 18.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.275 * [backup-simplify]: Simplify 0 into 0 18.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.276 * [backup-simplify]: Simplify 0 into 0 18.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.283 * [backup-simplify]: Simplify 0 into 0 18.283 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 18.283 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 18.283 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 18.283 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 18.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.283 * [taylor]: Taking taylor expansion of im in im 18.283 * [backup-simplify]: Simplify 0 into 0 18.283 * [backup-simplify]: Simplify 1 into 1 18.283 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.283 * [taylor]: Taking taylor expansion of re in im 18.283 * [backup-simplify]: Simplify re into re 18.284 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.284 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.284 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.284 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.284 * [backup-simplify]: Simplify (+ 0 0) into 0 18.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.284 * [taylor]: Taking taylor expansion of re in im 18.284 * [backup-simplify]: Simplify re into re 18.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.284 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.284 * [taylor]: Taking taylor expansion of im in re 18.284 * [backup-simplify]: Simplify im into im 18.284 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.284 * [taylor]: Taking taylor expansion of re in re 18.284 * [backup-simplify]: Simplify 0 into 0 18.284 * [backup-simplify]: Simplify 1 into 1 18.284 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.284 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.285 * [backup-simplify]: Simplify (+ 0 0) into 0 18.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.285 * [taylor]: Taking taylor expansion of re in re 18.285 * [backup-simplify]: Simplify 0 into 0 18.285 * [backup-simplify]: Simplify 1 into 1 18.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.285 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.285 * [taylor]: Taking taylor expansion of im in re 18.285 * [backup-simplify]: Simplify im into im 18.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.285 * [taylor]: Taking taylor expansion of re in re 18.285 * [backup-simplify]: Simplify 0 into 0 18.285 * [backup-simplify]: Simplify 1 into 1 18.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.285 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.285 * [backup-simplify]: Simplify (+ 0 0) into 0 18.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.286 * [taylor]: Taking taylor expansion of re in re 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [backup-simplify]: Simplify 1 into 1 18.286 * [backup-simplify]: Simplify (- 0) into 0 18.286 * [backup-simplify]: Simplify (+ im 0) into im 18.286 * [taylor]: Taking taylor expansion of im in im 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [backup-simplify]: Simplify 1 into 1 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [backup-simplify]: Simplify (- 1) into -1 18.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.287 * [taylor]: Taking taylor expansion of -1 in im 18.287 * [backup-simplify]: Simplify -1 into -1 18.287 * [backup-simplify]: Simplify -1 into -1 18.287 * [backup-simplify]: Simplify 1 into 1 18.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 18.287 * [backup-simplify]: Simplify (* 1 1) into 1 18.287 * [backup-simplify]: Simplify (+ 0 1) into 1 18.288 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 18.288 * [backup-simplify]: Simplify (- 0) into 0 18.288 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 18.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 18.288 * [taylor]: Taking taylor expansion of 1/2 in im 18.288 * [backup-simplify]: Simplify 1/2 into 1/2 18.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 18.288 * [taylor]: Taking taylor expansion of im in im 18.288 * [backup-simplify]: Simplify 0 into 0 18.288 * [backup-simplify]: Simplify 1 into 1 18.289 * [backup-simplify]: Simplify (/ 1 1) into 1 18.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 18.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.291 * [backup-simplify]: Simplify (+ 0 0) into 0 18.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 18.291 * [backup-simplify]: Simplify (- 0) into 0 18.291 * [backup-simplify]: Simplify (+ 0 0) into 0 18.291 * [taylor]: Taking taylor expansion of 0 in im 18.291 * [backup-simplify]: Simplify 0 into 0 18.292 * [backup-simplify]: Simplify 0 into 0 18.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.293 * [backup-simplify]: Simplify 0 into 0 18.293 * [backup-simplify]: Simplify 0 into 0 18.293 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 18.293 * [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)) 18.293 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 18.293 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.293 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.293 * [taylor]: Taking taylor expansion of re in im 18.293 * [backup-simplify]: Simplify re into re 18.293 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.293 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.293 * [taylor]: Taking taylor expansion of im in im 18.293 * [backup-simplify]: Simplify 0 into 0 18.293 * [backup-simplify]: Simplify 1 into 1 18.293 * [backup-simplify]: Simplify (* 1 1) into 1 18.294 * [backup-simplify]: Simplify (/ 1 1) into 1 18.294 * [backup-simplify]: Simplify (+ 0 1) into 1 18.294 * [backup-simplify]: Simplify (sqrt 1) into 1 18.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.295 * [backup-simplify]: Simplify (+ 0 0) into 0 18.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.296 * [taylor]: Taking taylor expansion of re in im 18.296 * [backup-simplify]: Simplify re into re 18.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.296 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.296 * [taylor]: Taking taylor expansion of re in re 18.296 * [backup-simplify]: Simplify 0 into 0 18.296 * [backup-simplify]: Simplify 1 into 1 18.296 * [backup-simplify]: Simplify (* 1 1) into 1 18.297 * [backup-simplify]: Simplify (/ 1 1) into 1 18.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.297 * [taylor]: Taking taylor expansion of im in re 18.297 * [backup-simplify]: Simplify im into im 18.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.297 * [backup-simplify]: Simplify (+ 1 0) into 1 18.298 * [backup-simplify]: Simplify (sqrt 1) into 1 18.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.300 * [backup-simplify]: Simplify (+ 0 0) into 0 18.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.300 * [taylor]: Taking taylor expansion of re in re 18.300 * [backup-simplify]: Simplify 0 into 0 18.300 * [backup-simplify]: Simplify 1 into 1 18.301 * [backup-simplify]: Simplify (/ 1 1) into 1 18.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.301 * [taylor]: Taking taylor expansion of re in re 18.301 * [backup-simplify]: Simplify 0 into 0 18.301 * [backup-simplify]: Simplify 1 into 1 18.301 * [backup-simplify]: Simplify (* 1 1) into 1 18.302 * [backup-simplify]: Simplify (/ 1 1) into 1 18.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.302 * [taylor]: Taking taylor expansion of im in re 18.302 * [backup-simplify]: Simplify im into im 18.302 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.302 * [backup-simplify]: Simplify (+ 1 0) into 1 18.303 * [backup-simplify]: Simplify (sqrt 1) into 1 18.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.305 * [backup-simplify]: Simplify (+ 0 0) into 0 18.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.306 * [taylor]: Taking taylor expansion of re in re 18.306 * [backup-simplify]: Simplify 0 into 0 18.306 * [backup-simplify]: Simplify 1 into 1 18.306 * [backup-simplify]: Simplify (/ 1 1) into 1 18.306 * [backup-simplify]: Simplify (- 1) into -1 18.307 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.307 * [taylor]: Taking taylor expansion of 0 in im 18.307 * [backup-simplify]: Simplify 0 into 0 18.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.308 * [backup-simplify]: Simplify (- 0) into 0 18.308 * [backup-simplify]: Simplify (+ 0 0) into 0 18.308 * [taylor]: Taking taylor expansion of 0 in im 18.308 * [backup-simplify]: Simplify 0 into 0 18.308 * [backup-simplify]: Simplify 0 into 0 18.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.313 * [backup-simplify]: Simplify (- 0) into 0 18.313 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 18.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 18.313 * [taylor]: Taking taylor expansion of 1/2 in im 18.313 * [backup-simplify]: Simplify 1/2 into 1/2 18.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.313 * [taylor]: Taking taylor expansion of im in im 18.313 * [backup-simplify]: Simplify 0 into 0 18.313 * [backup-simplify]: Simplify 1 into 1 18.314 * [backup-simplify]: Simplify (* 1 1) into 1 18.314 * [backup-simplify]: Simplify (/ 1 1) into 1 18.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.316 * [backup-simplify]: Simplify 0 into 0 18.316 * [backup-simplify]: Simplify 0 into 0 18.316 * [backup-simplify]: Simplify 0 into 0 18.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.319 * [backup-simplify]: Simplify (+ 0 0) into 0 18.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.320 * [backup-simplify]: Simplify (- 0) into 0 18.321 * [backup-simplify]: Simplify (+ 0 0) into 0 18.321 * [taylor]: Taking taylor expansion of 0 in im 18.321 * [backup-simplify]: Simplify 0 into 0 18.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.324 * [backup-simplify]: Simplify 0 into 0 18.324 * [backup-simplify]: Simplify 0 into 0 18.324 * [backup-simplify]: Simplify 0 into 0 18.324 * [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))))) 18.324 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 18.324 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.324 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.324 * [taylor]: Taking taylor expansion of re in im 18.324 * [backup-simplify]: Simplify re into re 18.324 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.324 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.324 * [taylor]: Taking taylor expansion of re in im 18.324 * [backup-simplify]: Simplify re into re 18.324 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.325 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.325 * [taylor]: Taking taylor expansion of im in im 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [backup-simplify]: Simplify 1 into 1 18.325 * [backup-simplify]: Simplify (* 1 1) into 1 18.325 * [backup-simplify]: Simplify (/ 1 1) into 1 18.326 * [backup-simplify]: Simplify (+ 0 1) into 1 18.326 * [backup-simplify]: Simplify (sqrt 1) into 1 18.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.328 * [backup-simplify]: Simplify (+ 0 0) into 0 18.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.329 * [taylor]: Taking taylor expansion of re in re 18.329 * [backup-simplify]: Simplify 0 into 0 18.329 * [backup-simplify]: Simplify 1 into 1 18.329 * [backup-simplify]: Simplify (/ 1 1) into 1 18.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.329 * [taylor]: Taking taylor expansion of re in re 18.329 * [backup-simplify]: Simplify 0 into 0 18.329 * [backup-simplify]: Simplify 1 into 1 18.330 * [backup-simplify]: Simplify (* 1 1) into 1 18.330 * [backup-simplify]: Simplify (/ 1 1) into 1 18.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.330 * [taylor]: Taking taylor expansion of im in re 18.330 * [backup-simplify]: Simplify im into im 18.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.331 * [backup-simplify]: Simplify (+ 1 0) into 1 18.331 * [backup-simplify]: Simplify (sqrt 1) into 1 18.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.333 * [backup-simplify]: Simplify (+ 0 0) into 0 18.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.334 * [taylor]: Taking taylor expansion of re in re 18.334 * [backup-simplify]: Simplify 0 into 0 18.334 * [backup-simplify]: Simplify 1 into 1 18.334 * [backup-simplify]: Simplify (/ 1 1) into 1 18.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.334 * [taylor]: Taking taylor expansion of re in re 18.334 * [backup-simplify]: Simplify 0 into 0 18.334 * [backup-simplify]: Simplify 1 into 1 18.335 * [backup-simplify]: Simplify (* 1 1) into 1 18.335 * [backup-simplify]: Simplify (/ 1 1) into 1 18.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.335 * [taylor]: Taking taylor expansion of im in re 18.335 * [backup-simplify]: Simplify im into im 18.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.336 * [backup-simplify]: Simplify (+ 1 0) into 1 18.336 * [backup-simplify]: Simplify (sqrt 1) into 1 18.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.338 * [backup-simplify]: Simplify (+ 0 0) into 0 18.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.339 * [backup-simplify]: Simplify (+ 1 1) into 2 18.339 * [taylor]: Taking taylor expansion of 2 in im 18.339 * [backup-simplify]: Simplify 2 into 2 18.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.340 * [backup-simplify]: Simplify (+ 0 0) into 0 18.340 * [taylor]: Taking taylor expansion of 0 in im 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [backup-simplify]: Simplify 2 into 2 18.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.344 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.345 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 18.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 18.345 * [taylor]: Taking taylor expansion of 1/2 in im 18.345 * [backup-simplify]: Simplify 1/2 into 1/2 18.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.345 * [taylor]: Taking taylor expansion of im in im 18.345 * [backup-simplify]: Simplify 0 into 0 18.345 * [backup-simplify]: Simplify 1 into 1 18.346 * [backup-simplify]: Simplify (* 1 1) into 1 18.346 * [backup-simplify]: Simplify (/ 1 1) into 1 18.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.348 * [backup-simplify]: Simplify 0 into 0 18.348 * [backup-simplify]: Simplify 0 into 0 18.348 * [backup-simplify]: Simplify 0 into 0 18.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.352 * [backup-simplify]: Simplify (+ 0 0) into 0 18.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.353 * [backup-simplify]: Simplify (+ 0 0) into 0 18.353 * [taylor]: Taking taylor expansion of 0 in im 18.353 * [backup-simplify]: Simplify 0 into 0 18.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 18.356 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 18.356 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 18.356 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 18.356 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 18.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 18.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.356 * [taylor]: Taking taylor expansion of 2.0 in re 18.356 * [backup-simplify]: Simplify 2.0 into 2.0 18.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.357 * [taylor]: Taking taylor expansion of im in re 18.357 * [backup-simplify]: Simplify im into im 18.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 18.358 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 18.358 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.358 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.358 * [taylor]: Taking taylor expansion of im in re 18.358 * [backup-simplify]: Simplify im into im 18.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.358 * [taylor]: Taking taylor expansion of re in re 18.358 * [backup-simplify]: Simplify 0 into 0 18.358 * [backup-simplify]: Simplify 1 into 1 18.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.358 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.358 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.358 * [backup-simplify]: Simplify (+ 0 0) into 0 18.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.359 * [taylor]: Taking taylor expansion of re in re 18.359 * [backup-simplify]: Simplify 0 into 0 18.359 * [backup-simplify]: Simplify 1 into 1 18.359 * [backup-simplify]: Simplify (- 0) into 0 18.359 * [backup-simplify]: Simplify (+ im 0) into im 18.359 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 18.359 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 18.360 * [backup-simplify]: Simplify (- 1) into -1 18.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 18.360 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 18.360 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 18.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.360 * [taylor]: Taking taylor expansion of 2.0 in im 18.360 * [backup-simplify]: Simplify 2.0 into 2.0 18.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.362 * [taylor]: Taking taylor expansion of im in im 18.362 * [backup-simplify]: Simplify 0 into 0 18.362 * [backup-simplify]: Simplify 1 into 1 18.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.362 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.362 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.362 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.362 * [taylor]: Taking taylor expansion of im in im 18.362 * [backup-simplify]: Simplify 0 into 0 18.362 * [backup-simplify]: Simplify 1 into 1 18.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.362 * [taylor]: Taking taylor expansion of re in im 18.362 * [backup-simplify]: Simplify re into re 18.362 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.362 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.362 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.362 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.363 * [backup-simplify]: Simplify (+ 0 0) into 0 18.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.363 * [taylor]: Taking taylor expansion of re in im 18.363 * [backup-simplify]: Simplify re into re 18.363 * [backup-simplify]: Simplify (- re) into (- re) 18.363 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.363 * [backup-simplify]: Simplify (- 0) into 0 18.364 * [backup-simplify]: Simplify (+ 0 0) into 0 18.364 * [backup-simplify]: Simplify (* 1 1) into 1 18.364 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.365 * [backup-simplify]: Simplify (+ 1 0) into 1 18.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.366 * [backup-simplify]: Simplify (- 0) into 0 18.366 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.366 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.366 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 18.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.367 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 18.368 * [backup-simplify]: Simplify (+ 0 0) into 0 18.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 18.368 * [backup-simplify]: Simplify (- 0) into 0 18.369 * [backup-simplify]: Simplify (+ 0 0) into 0 18.369 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 18.369 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 18.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.369 * [taylor]: Taking taylor expansion of 2.0 in im 18.369 * [backup-simplify]: Simplify 2.0 into 2.0 18.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.370 * [taylor]: Taking taylor expansion of im in im 18.370 * [backup-simplify]: Simplify 0 into 0 18.370 * [backup-simplify]: Simplify 1 into 1 18.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.370 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.370 * [taylor]: Taking taylor expansion of im in im 18.370 * [backup-simplify]: Simplify 0 into 0 18.371 * [backup-simplify]: Simplify 1 into 1 18.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.371 * [taylor]: Taking taylor expansion of re in im 18.371 * [backup-simplify]: Simplify re into re 18.371 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.371 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.371 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.371 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.371 * [backup-simplify]: Simplify (+ 0 0) into 0 18.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.371 * [taylor]: Taking taylor expansion of re in im 18.371 * [backup-simplify]: Simplify re into re 18.372 * [backup-simplify]: Simplify (- re) into (- re) 18.372 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.372 * [backup-simplify]: Simplify (- 0) into 0 18.372 * [backup-simplify]: Simplify (+ 0 0) into 0 18.373 * [backup-simplify]: Simplify (* 1 1) into 1 18.373 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.374 * [backup-simplify]: Simplify (+ 1 0) into 1 18.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.375 * [backup-simplify]: Simplify (- 0) into 0 18.375 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.375 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.375 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 18.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.376 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 18.377 * [backup-simplify]: Simplify (+ 0 0) into 0 18.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 18.377 * [backup-simplify]: Simplify (- 0) into 0 18.378 * [backup-simplify]: Simplify (+ 0 0) into 0 18.378 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 18.378 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.379 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 18.379 * [taylor]: Taking taylor expansion of 0 in re 18.379 * [backup-simplify]: Simplify 0 into 0 18.379 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 18.382 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 18.382 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 18.382 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 18.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.382 * [taylor]: Taking taylor expansion of 2.0 in re 18.382 * [backup-simplify]: Simplify 2.0 into 2.0 18.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.383 * [taylor]: Taking taylor expansion of (sqrt 2) in re 18.383 * [taylor]: Taking taylor expansion of 2 in re 18.383 * [backup-simplify]: Simplify 2 into 2 18.384 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 18.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 18.384 * [taylor]: Taking taylor expansion of (sqrt re) in re 18.385 * [taylor]: Taking taylor expansion of re in re 18.385 * [backup-simplify]: Simplify 0 into 0 18.385 * [backup-simplify]: Simplify 1 into 1 18.385 * [backup-simplify]: Simplify (sqrt 0) into 0 18.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.388 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 18.389 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 18.389 * [backup-simplify]: Simplify 0 into 0 18.389 * [backup-simplify]: Simplify 0 into 0 18.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.391 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 18.392 * [backup-simplify]: Simplify (+ 0 0) into 0 18.392 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 18.393 * [backup-simplify]: Simplify (- 0) into 0 18.393 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 18.393 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 18.394 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 18.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.398 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 18.400 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 18.400 * [taylor]: Taking taylor expansion of 0 in re 18.400 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 18.405 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.408 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.409 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.411 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 18.411 * [backup-simplify]: Simplify (+ 0 0) into 0 18.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 18.412 * [backup-simplify]: Simplify (- 0) into 0 18.412 * [backup-simplify]: Simplify (+ 0 0) into 0 18.413 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 18.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.423 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 18.426 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 18.426 * [taylor]: Taking taylor expansion of 1/4 in re 18.426 * [backup-simplify]: Simplify 1/4 into 1/4 18.426 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 18.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 18.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.426 * [taylor]: Taking taylor expansion of 2.0 in re 18.426 * [backup-simplify]: Simplify 2.0 into 2.0 18.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.427 * [taylor]: Taking taylor expansion of (sqrt 2) in re 18.427 * [taylor]: Taking taylor expansion of 2 in re 18.427 * [backup-simplify]: Simplify 2 into 2 18.427 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 18.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 18.429 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 18.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 18.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 18.429 * [taylor]: Taking taylor expansion of (pow re 3) in re 18.429 * [taylor]: Taking taylor expansion of re in re 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 1 into 1 18.430 * [backup-simplify]: Simplify (* 1 1) into 1 18.430 * [backup-simplify]: Simplify (* 1 1) into 1 18.431 * [backup-simplify]: Simplify (/ 1 1) into 1 18.431 * [backup-simplify]: Simplify (sqrt 0) into 0 18.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.439 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 18.441 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 18.443 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 18.448 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.451 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.452 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 18.460 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.462 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.462 * [backup-simplify]: Simplify 0 into 0 18.464 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 18.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 18.468 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.470 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.475 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 18.476 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 18.476 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 18.476 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 18.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 18.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.476 * [taylor]: Taking taylor expansion of 2.0 in re 18.476 * [backup-simplify]: Simplify 2.0 into 2.0 18.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.476 * [taylor]: Taking taylor expansion of im in re 18.476 * [backup-simplify]: Simplify im into im 18.477 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 18.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 18.477 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 18.477 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.477 * [taylor]: Taking taylor expansion of re in re 18.477 * [backup-simplify]: Simplify 0 into 0 18.477 * [backup-simplify]: Simplify 1 into 1 18.477 * [backup-simplify]: Simplify (* 1 1) into 1 18.477 * [backup-simplify]: Simplify (/ 1 1) into 1 18.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.477 * [taylor]: Taking taylor expansion of im in re 18.477 * [backup-simplify]: Simplify im into im 18.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.478 * [backup-simplify]: Simplify (+ 1 0) into 1 18.478 * [backup-simplify]: Simplify (sqrt 1) into 1 18.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.479 * [backup-simplify]: Simplify (+ 0 0) into 0 18.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.480 * [taylor]: Taking taylor expansion of re in re 18.480 * [backup-simplify]: Simplify 0 into 0 18.480 * [backup-simplify]: Simplify 1 into 1 18.480 * [backup-simplify]: Simplify (/ 1 1) into 1 18.480 * [backup-simplify]: Simplify (- 1) into -1 18.481 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.481 * [backup-simplify]: Simplify (- 0) into 0 18.482 * [backup-simplify]: Simplify (+ 0 0) into 0 18.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.483 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.484 * [backup-simplify]: Simplify (- 0) into 0 18.484 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 18.484 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 18.485 * [backup-simplify]: Simplify (sqrt 0) into 0 18.485 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 18.485 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 18.485 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.485 * [taylor]: Taking taylor expansion of 2.0 in im 18.485 * [backup-simplify]: Simplify 2.0 into 2.0 18.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.486 * [taylor]: Taking taylor expansion of im in im 18.486 * [backup-simplify]: Simplify 0 into 0 18.486 * [backup-simplify]: Simplify 1 into 1 18.486 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.486 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.487 * [taylor]: Taking taylor expansion of re in im 18.487 * [backup-simplify]: Simplify re into re 18.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.487 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.487 * [taylor]: Taking taylor expansion of im in im 18.487 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify 1 into 1 18.487 * [backup-simplify]: Simplify (* 1 1) into 1 18.487 * [backup-simplify]: Simplify (/ 1 1) into 1 18.487 * [backup-simplify]: Simplify (+ 0 1) into 1 18.488 * [backup-simplify]: Simplify (sqrt 1) into 1 18.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.489 * [backup-simplify]: Simplify (+ 0 0) into 0 18.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.489 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.489 * [taylor]: Taking taylor expansion of re in im 18.489 * [backup-simplify]: Simplify re into re 18.489 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.490 * [backup-simplify]: Simplify (+ 1 0) into 1 18.490 * [backup-simplify]: Simplify (/ 1 1) into 1 18.490 * [backup-simplify]: Simplify (sqrt 0) into 0 18.491 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.491 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 18.491 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.491 * [taylor]: Taking taylor expansion of 2.0 in im 18.491 * [backup-simplify]: Simplify 2.0 into 2.0 18.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.492 * [taylor]: Taking taylor expansion of im in im 18.492 * [backup-simplify]: Simplify 0 into 0 18.492 * [backup-simplify]: Simplify 1 into 1 18.492 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.492 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.492 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.492 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.492 * [taylor]: Taking taylor expansion of re in im 18.492 * [backup-simplify]: Simplify re into re 18.492 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.492 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.492 * [taylor]: Taking taylor expansion of im in im 18.492 * [backup-simplify]: Simplify 0 into 0 18.492 * [backup-simplify]: Simplify 1 into 1 18.493 * [backup-simplify]: Simplify (* 1 1) into 1 18.493 * [backup-simplify]: Simplify (/ 1 1) into 1 18.493 * [backup-simplify]: Simplify (+ 0 1) into 1 18.493 * [backup-simplify]: Simplify (sqrt 1) into 1 18.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.494 * [backup-simplify]: Simplify (+ 0 0) into 0 18.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.495 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.495 * [taylor]: Taking taylor expansion of re in im 18.495 * [backup-simplify]: Simplify re into re 18.495 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.495 * [backup-simplify]: Simplify (+ 1 0) into 1 18.495 * [backup-simplify]: Simplify (/ 1 1) into 1 18.496 * [backup-simplify]: Simplify (sqrt 0) into 0 18.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.498 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.498 * [taylor]: Taking taylor expansion of 0 in re 18.498 * [backup-simplify]: Simplify 0 into 0 18.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.501 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 18.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 18.502 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.502 * [taylor]: Taking taylor expansion of +nan.0 in re 18.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.502 * [taylor]: Taking taylor expansion of 2.0 in re 18.502 * [backup-simplify]: Simplify 2.0 into 2.0 18.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.503 * [backup-simplify]: Simplify 0 into 0 18.504 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 18.504 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 18.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 18.505 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 18.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.509 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 18.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 18.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 18.509 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.509 * [taylor]: Taking taylor expansion of +nan.0 in re 18.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.509 * [taylor]: Taking taylor expansion of 2.0 in re 18.509 * [backup-simplify]: Simplify 2.0 into 2.0 18.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 18.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.510 * [taylor]: Taking taylor expansion of +nan.0 in re 18.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.510 * [taylor]: Taking taylor expansion of 2.0 in re 18.510 * [backup-simplify]: Simplify 2.0 into 2.0 18.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.512 * [taylor]: Taking taylor expansion of re in re 18.512 * [backup-simplify]: Simplify 0 into 0 18.512 * [backup-simplify]: Simplify 1 into 1 18.512 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.513 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.515 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.517 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.519 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.521 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.522 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.523 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.525 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.525 * [backup-simplify]: Simplify 0 into 0 18.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.527 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.528 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.529 * [backup-simplify]: Simplify (- 0) into 0 18.529 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 18.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 18.530 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 18.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.534 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 18.534 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 18.534 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 18.534 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.534 * [taylor]: Taking taylor expansion of +nan.0 in re 18.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.534 * [taylor]: Taking taylor expansion of 2.0 in re 18.534 * [backup-simplify]: Simplify 2.0 into 2.0 18.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.541 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 18.541 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 18.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.541 * [taylor]: Taking taylor expansion of +nan.0 in re 18.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.541 * [taylor]: Taking taylor expansion of 2.0 in re 18.541 * [backup-simplify]: Simplify 2.0 into 2.0 18.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.542 * [taylor]: Taking taylor expansion of re in re 18.542 * [backup-simplify]: Simplify 0 into 0 18.542 * [backup-simplify]: Simplify 1 into 1 18.543 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 18.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 18.543 * [taylor]: Taking taylor expansion of +nan.0 in re 18.543 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.543 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 18.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.543 * [taylor]: Taking taylor expansion of 2.0 in re 18.543 * [backup-simplify]: Simplify 2.0 into 2.0 18.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.543 * [taylor]: Taking taylor expansion of re in re 18.543 * [backup-simplify]: Simplify 0 into 0 18.543 * [backup-simplify]: Simplify 1 into 1 18.544 * [backup-simplify]: Simplify (* 1 1) into 1 18.544 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.545 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.546 * [backup-simplify]: Simplify (- 0) into 0 18.547 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.549 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.550 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.552 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.552 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.555 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 18.556 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 18.556 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 18.556 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 18.556 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 18.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.556 * [taylor]: Taking taylor expansion of 2.0 in re 18.556 * [backup-simplify]: Simplify 2.0 into 2.0 18.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.556 * [taylor]: Taking taylor expansion of im in re 18.557 * [backup-simplify]: Simplify im into im 18.557 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 18.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 18.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.557 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.557 * [taylor]: Taking taylor expansion of re in re 18.557 * [backup-simplify]: Simplify 0 into 0 18.557 * [backup-simplify]: Simplify 1 into 1 18.557 * [backup-simplify]: Simplify (/ 1 1) into 1 18.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.557 * [taylor]: Taking taylor expansion of re in re 18.557 * [backup-simplify]: Simplify 0 into 0 18.557 * [backup-simplify]: Simplify 1 into 1 18.557 * [backup-simplify]: Simplify (* 1 1) into 1 18.558 * [backup-simplify]: Simplify (/ 1 1) into 1 18.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.558 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.558 * [taylor]: Taking taylor expansion of im in re 18.558 * [backup-simplify]: Simplify im into im 18.558 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.558 * [backup-simplify]: Simplify (+ 1 0) into 1 18.558 * [backup-simplify]: Simplify (sqrt 1) into 1 18.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.559 * [backup-simplify]: Simplify (+ 0 0) into 0 18.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.560 * [backup-simplify]: Simplify (+ 1 1) into 2 18.560 * [backup-simplify]: Simplify (/ 1 2) into 1/2 18.561 * [backup-simplify]: Simplify (sqrt 0) into 0 18.561 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 18.562 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 18.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.562 * [taylor]: Taking taylor expansion of 2.0 in im 18.562 * [backup-simplify]: Simplify 2.0 into 2.0 18.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.562 * [taylor]: Taking taylor expansion of im in im 18.562 * [backup-simplify]: Simplify 0 into 0 18.562 * [backup-simplify]: Simplify 1 into 1 18.563 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 18.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 18.563 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.563 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.563 * [taylor]: Taking taylor expansion of re in im 18.563 * [backup-simplify]: Simplify re into re 18.563 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.563 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.563 * [taylor]: Taking taylor expansion of re in im 18.563 * [backup-simplify]: Simplify re into re 18.563 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.563 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.563 * [taylor]: Taking taylor expansion of im in im 18.563 * [backup-simplify]: Simplify 0 into 0 18.563 * [backup-simplify]: Simplify 1 into 1 18.564 * [backup-simplify]: Simplify (* 1 1) into 1 18.564 * [backup-simplify]: Simplify (/ 1 1) into 1 18.564 * [backup-simplify]: Simplify (+ 0 1) into 1 18.564 * [backup-simplify]: Simplify (sqrt 1) into 1 18.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.565 * [backup-simplify]: Simplify (+ 0 0) into 0 18.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.566 * [backup-simplify]: Simplify (+ 0 1) into 1 18.566 * [backup-simplify]: Simplify (/ 1 1) into 1 18.566 * [backup-simplify]: Simplify (sqrt 0) into 0 18.567 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.567 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 18.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.567 * [taylor]: Taking taylor expansion of 2.0 in im 18.567 * [backup-simplify]: Simplify 2.0 into 2.0 18.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.568 * [taylor]: Taking taylor expansion of im in im 18.568 * [backup-simplify]: Simplify 0 into 0 18.568 * [backup-simplify]: Simplify 1 into 1 18.569 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 18.569 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 18.569 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.569 * [taylor]: Taking taylor expansion of re in im 18.570 * [backup-simplify]: Simplify re into re 18.570 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.570 * [taylor]: Taking taylor expansion of re in im 18.570 * [backup-simplify]: Simplify re into re 18.570 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.570 * [taylor]: Taking taylor expansion of im in im 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [backup-simplify]: Simplify 1 into 1 18.570 * [backup-simplify]: Simplify (* 1 1) into 1 18.571 * [backup-simplify]: Simplify (/ 1 1) into 1 18.571 * [backup-simplify]: Simplify (+ 0 1) into 1 18.572 * [backup-simplify]: Simplify (sqrt 1) into 1 18.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.573 * [backup-simplify]: Simplify (+ 0 0) into 0 18.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.574 * [backup-simplify]: Simplify (+ 0 1) into 1 18.575 * [backup-simplify]: Simplify (/ 1 1) into 1 18.575 * [backup-simplify]: Simplify (sqrt 0) into 0 18.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.577 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.577 * [taylor]: Taking taylor expansion of 0 in re 18.577 * [backup-simplify]: Simplify 0 into 0 18.577 * [backup-simplify]: Simplify 0 into 0 18.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.580 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 18.580 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 18.581 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.581 * [taylor]: Taking taylor expansion of +nan.0 in re 18.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.581 * [taylor]: Taking taylor expansion of 2.0 in re 18.581 * [backup-simplify]: Simplify 2.0 into 2.0 18.581 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.583 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.584 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.586 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.586 * [backup-simplify]: Simplify 0 into 0 18.586 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 18.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 18.587 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 18.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.591 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 18.591 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 18.591 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 18.591 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.591 * [taylor]: Taking taylor expansion of +nan.0 in re 18.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.592 * [taylor]: Taking taylor expansion of 2.0 in re 18.592 * [backup-simplify]: Simplify 2.0 into 2.0 18.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 18.593 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.593 * [taylor]: Taking taylor expansion of +nan.0 in re 18.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.593 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.593 * [taylor]: Taking taylor expansion of 2.0 in re 18.593 * [backup-simplify]: Simplify 2.0 into 2.0 18.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.594 * [taylor]: Taking taylor expansion of re in re 18.594 * [backup-simplify]: Simplify 0 into 0 18.594 * [backup-simplify]: Simplify 1 into 1 18.595 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.596 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.597 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.597 * [backup-simplify]: Simplify (- 0) into 0 18.598 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.599 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.600 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.601 * [backup-simplify]: Simplify (- 0) into 0 18.601 * [backup-simplify]: Simplify 0 into 0 18.601 * [backup-simplify]: Simplify 0 into 0 18.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.602 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.603 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 18.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 18.604 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 18.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.607 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 18.607 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 18.607 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 18.607 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.607 * [taylor]: Taking taylor expansion of +nan.0 in re 18.607 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.607 * [taylor]: Taking taylor expansion of 2.0 in re 18.607 * [backup-simplify]: Simplify 2.0 into 2.0 18.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.608 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 18.608 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 18.608 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.608 * [taylor]: Taking taylor expansion of +nan.0 in re 18.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.608 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.608 * [taylor]: Taking taylor expansion of 2.0 in re 18.608 * [backup-simplify]: Simplify 2.0 into 2.0 18.608 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.609 * [taylor]: Taking taylor expansion of re in re 18.609 * [backup-simplify]: Simplify 0 into 0 18.609 * [backup-simplify]: Simplify 1 into 1 18.609 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.609 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 18.609 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 18.609 * [taylor]: Taking taylor expansion of +nan.0 in re 18.609 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.609 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 18.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.609 * [taylor]: Taking taylor expansion of 2.0 in re 18.609 * [backup-simplify]: Simplify 2.0 into 2.0 18.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.610 * [taylor]: Taking taylor expansion of re in re 18.610 * [backup-simplify]: Simplify 0 into 0 18.610 * [backup-simplify]: Simplify 1 into 1 18.610 * [backup-simplify]: Simplify (* 1 1) into 1 18.611 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.611 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.612 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 18.616 * [backup-simplify]: Simplify (- 0) into 0 18.616 * [backup-simplify]: Simplify (+ 0 0) into 0 18.617 * [backup-simplify]: Simplify (- 0) into 0 18.618 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.619 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.620 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.623 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 18.623 * * * [progress]: simplifying candidates 18.623 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 18.623 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 18.623 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 18.623 * * [simplify]: iters left: 6 (8 enodes) 18.625 * * [simplify]: iters left: 5 (26 enodes) 18.629 * * [simplify]: Extracting #0: cost 1 inf + 0 18.629 * * [simplify]: Extracting #1: cost 4 inf + 0 18.629 * * [simplify]: Extracting #2: cost 7 inf + 0 18.629 * * [simplify]: Extracting #3: cost 10 inf + 0 18.629 * * [simplify]: Extracting #4: cost 14 inf + 0 18.630 * * [simplify]: Extracting #5: cost 10 inf + 84 18.630 * * [simplify]: Extracting #6: cost 8 inf + 166 18.630 * * [simplify]: Extracting #7: cost 4 inf + 854 18.630 * * [simplify]: Extracting #8: cost 1 inf + 1540 18.631 * * [simplify]: Extracting #9: cost 0 inf + 1782 18.632 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 18.632 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 18.632 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 18.632 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 18.632 * * [simplify]: iters left: 6 (7 enodes) 18.635 * * [simplify]: iters left: 5 (22 enodes) 18.641 * * [simplify]: Extracting #0: cost 1 inf + 0 18.641 * * [simplify]: Extracting #1: cost 3 inf + 0 18.641 * * [simplify]: Extracting #2: cost 5 inf + 0 18.642 * * [simplify]: Extracting #3: cost 8 inf + 0 18.642 * * [simplify]: Extracting #4: cost 12 inf + 0 18.642 * * [simplify]: Extracting #5: cost 10 inf + 2 18.642 * * [simplify]: Extracting #6: cost 1 inf + 936 18.642 * * [simplify]: Extracting #7: cost 0 inf + 1138 18.643 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 18.643 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 18.643 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 18.644 * [simplify]: Simplifying (sqrt 1) 18.644 * * [simplify]: iters left: 1 (2 enodes) 18.653 * * [simplify]: Extracting #0: cost 1 inf + 0 18.653 * * [simplify]: Extracting #1: cost 0 inf + 1 18.653 * [simplify]: Simplified to 1 18.653 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 18.653 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 18.654 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 18.654 * * [simplify]: iters left: 6 (9 enodes) 18.659 * * [simplify]: iters left: 5 (45 enodes) 18.681 * * [simplify]: iters left: 4 (100 enodes) 18.726 * * [simplify]: iters left: 3 (201 enodes) 18.798 * * [simplify]: iters left: 2 (406 enodes) 18.948 * * [simplify]: Extracting #0: cost 1 inf + 0 18.948 * * [simplify]: Extracting #1: cost 3 inf + 0 18.948 * * [simplify]: Extracting #2: cost 6 inf + 0 18.948 * * [simplify]: Extracting #3: cost 62 inf + 0 18.949 * * [simplify]: Extracting #4: cost 166 inf + 460 18.950 * * [simplify]: Extracting #5: cost 131 inf + 12951 18.954 * * [simplify]: Extracting #6: cost 49 inf + 45746 18.959 * * [simplify]: Extracting #7: cost 1 inf + 66256 18.965 * * [simplify]: Extracting #8: cost 0 inf + 65919 18.970 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 18.970 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 18.970 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 18.970 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.970 * * [simplify]: iters left: 6 (8 enodes) 18.980 * * [simplify]: iters left: 5 (37 enodes) 18.993 * * [simplify]: iters left: 4 (67 enodes) 19.015 * * [simplify]: iters left: 3 (123 enodes) 19.066 * * [simplify]: iters left: 2 (278 enodes) 19.205 * * [simplify]: Extracting #0: cost 1 inf + 0 19.205 * * [simplify]: Extracting #1: cost 3 inf + 0 19.205 * * [simplify]: Extracting #2: cost 50 inf + 0 19.206 * * [simplify]: Extracting #3: cost 150 inf + 0 19.207 * * [simplify]: Extracting #4: cost 194 inf + 1180 19.209 * * [simplify]: Extracting #5: cost 123 inf + 12421 19.215 * * [simplify]: Extracting #6: cost 12 inf + 33804 19.223 * * [simplify]: Extracting #7: cost 0 inf + 36129 19.237 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 19.237 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 19.238 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 19.238 * [simplify]: Simplifying (+ (* re re) (* im im)) 19.238 * * [simplify]: iters left: 4 (5 enodes) 19.241 * * [simplify]: iters left: 3 (16 enodes) 19.245 * * [simplify]: Extracting #0: cost 1 inf + 0 19.245 * * [simplify]: Extracting #1: cost 4 inf + 0 19.245 * * [simplify]: Extracting #2: cost 8 inf + 0 19.245 * * [simplify]: Extracting #3: cost 4 inf + 84 19.246 * * [simplify]: Extracting #4: cost 0 inf + 410 19.246 * [simplify]: Simplified to (+ (* re re) (* im im)) 19.246 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 19.246 * * * * [progress]: [ 13 / 122 ] simplifiying candidate # 19.246 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 19.246 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 19.246 * * [simplify]: iters left: 5 (6 enodes) 19.249 * * [simplify]: iters left: 4 (19 enodes) 19.253 * * [simplify]: Extracting #0: cost 1 inf + 0 19.253 * * [simplify]: Extracting #1: cost 3 inf + 0 19.253 * * [simplify]: Extracting #2: cost 6 inf + 0 19.253 * * [simplify]: Extracting #3: cost 10 inf + 0 19.253 * * [simplify]: Extracting #4: cost 6 inf + 84 19.253 * * [simplify]: Extracting #5: cost 0 inf + 734 19.253 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 19.253 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 19.253 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 19.253 * * * * [progress]: [ 16 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 19.254 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 19.254 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 19.254 * [simplify]: Simplifying (sqrt 2.0) 19.254 * * [simplify]: iters left: 1 (2 enodes) 19.255 * * [simplify]: Extracting #0: cost 1 inf + 0 19.255 * * [simplify]: Extracting #1: cost 3 inf + 0 19.255 * * [simplify]: Extracting #2: cost 2 inf + 1 19.255 * * [simplify]: Extracting #3: cost 0 inf + 83 19.255 * [simplify]: Simplified to (sqrt 2.0) 19.255 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 19.255 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 19.256 * [simplify]: Simplifying (* 2.0 (* im im)) 19.256 * * [simplify]: iters left: 4 (4 enodes) 19.257 * * [simplify]: iters left: 3 (15 enodes) 19.259 * * [simplify]: iters left: 2 (19 enodes) 19.262 * * [simplify]: Extracting #0: cost 1 inf + 0 19.262 * * [simplify]: Extracting #1: cost 6 inf + 0 19.262 * * [simplify]: Extracting #2: cost 5 inf + 43 19.262 * * [simplify]: Extracting #3: cost 0 inf + 332 19.262 * [simplify]: Simplified to (* 2.0 (* im im)) 19.262 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 19.262 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 19.263 * [simplify]: Simplifying (* 2.0 (* im im)) 19.263 * * [simplify]: iters left: 4 (4 enodes) 19.264 * * [simplify]: iters left: 3 (15 enodes) 19.266 * * [simplify]: iters left: 2 (19 enodes) 19.269 * * [simplify]: Extracting #0: cost 1 inf + 0 19.269 * * [simplify]: Extracting #1: cost 6 inf + 0 19.269 * * [simplify]: Extracting #2: cost 5 inf + 43 19.269 * * [simplify]: Extracting #3: cost 0 inf + 332 19.269 * [simplify]: Simplified to (* 2.0 (* im im)) 19.269 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 19.269 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 19.270 * [simplify]: Simplifying (* 2.0 (* im im)) 19.270 * * [simplify]: iters left: 4 (4 enodes) 19.271 * * [simplify]: iters left: 3 (15 enodes) 19.273 * * [simplify]: iters left: 2 (19 enodes) 19.276 * * [simplify]: Extracting #0: cost 1 inf + 0 19.276 * * [simplify]: Extracting #1: cost 6 inf + 0 19.276 * * [simplify]: Extracting #2: cost 5 inf + 43 19.276 * * [simplify]: Extracting #3: cost 0 inf + 332 19.276 * [simplify]: Simplified to (* 2.0 (* im im)) 19.276 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 19.277 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 19.277 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 19.277 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 19.277 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 19.277 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 19.277 * * [simplify]: iters left: 6 (9 enodes) 19.279 * * [simplify]: iters left: 5 (30 enodes) 19.283 * * [simplify]: iters left: 4 (34 enodes) 19.295 * * [simplify]: iters left: 3 (39 enodes) 19.306 * * [simplify]: iters left: 2 (44 enodes) 19.319 * * [simplify]: iters left: 1 (52 enodes) 19.334 * * [simplify]: Extracting #0: cost 1 inf + 0 19.334 * * [simplify]: Extracting #1: cost 9 inf + 0 19.334 * * [simplify]: Extracting #2: cost 15 inf + 1 19.334 * * [simplify]: Extracting #3: cost 17 inf + 2 19.334 * * [simplify]: Extracting #4: cost 18 inf + 114 19.334 * * [simplify]: Extracting #5: cost 15 inf + 601 19.335 * * [simplify]: Extracting #6: cost 7 inf + 1413 19.336 * * [simplify]: Extracting #7: cost 0 inf + 3047 19.337 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 19.337 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 19.338 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 19.338 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 19.339 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.339 * * [simplify]: iters left: 6 (9 enodes) 19.341 * * [simplify]: iters left: 5 (29 enodes) 19.345 * * [simplify]: Extracting #0: cost 1 inf + 0 19.345 * * [simplify]: Extracting #1: cost 4 inf + 0 19.345 * * [simplify]: Extracting #2: cost 8 inf + 0 19.345 * * [simplify]: Extracting #3: cost 9 inf + 1 19.345 * * [simplify]: Extracting #4: cost 11 inf + 42 19.345 * * [simplify]: Extracting #5: cost 12 inf + 124 19.345 * * [simplify]: Extracting #6: cost 8 inf + 248 19.345 * * [simplify]: Extracting #7: cost 5 inf + 654 19.346 * * [simplify]: Extracting #8: cost 2 inf + 1300 19.346 * * [simplify]: Extracting #9: cost 0 inf + 1784 19.346 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 19.346 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 19.347 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.347 * * [simplify]: iters left: 6 (9 enodes) 19.349 * * [simplify]: iters left: 5 (30 enodes) 19.352 * * [simplify]: iters left: 4 (33 enodes) 19.357 * * [simplify]: Extracting #0: cost 1 inf + 0 19.357 * * [simplify]: Extracting #1: cost 5 inf + 0 19.357 * * [simplify]: Extracting #2: cost 10 inf + 0 19.357 * * [simplify]: Extracting #3: cost 11 inf + 1 19.357 * * [simplify]: Extracting #4: cost 10 inf + 245 19.357 * * [simplify]: Extracting #5: cost 12 inf + 286 19.357 * * [simplify]: Extracting #6: cost 8 inf + 410 19.357 * * [simplify]: Extracting #7: cost 6 inf + 694 19.357 * * [simplify]: Extracting #8: cost 1 inf + 1744 19.358 * * [simplify]: Extracting #9: cost 0 inf + 1946 19.358 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.358 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 19.358 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 19.358 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.359 * * [simplify]: iters left: 6 (9 enodes) 19.360 * * [simplify]: iters left: 5 (29 enodes) 19.364 * * [simplify]: Extracting #0: cost 1 inf + 0 19.364 * * [simplify]: Extracting #1: cost 4 inf + 0 19.364 * * [simplify]: Extracting #2: cost 8 inf + 0 19.364 * * [simplify]: Extracting #3: cost 9 inf + 1 19.364 * * [simplify]: Extracting #4: cost 11 inf + 42 19.364 * * [simplify]: Extracting #5: cost 12 inf + 124 19.364 * * [simplify]: Extracting #6: cost 8 inf + 248 19.364 * * [simplify]: Extracting #7: cost 5 inf + 654 19.365 * * [simplify]: Extracting #8: cost 2 inf + 1300 19.365 * * [simplify]: Extracting #9: cost 0 inf + 1784 19.365 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 19.365 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 19.366 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.366 * * [simplify]: iters left: 6 (9 enodes) 19.368 * * [simplify]: iters left: 5 (30 enodes) 19.371 * * [simplify]: iters left: 4 (33 enodes) 19.380 * * [simplify]: Extracting #0: cost 1 inf + 0 19.380 * * [simplify]: Extracting #1: cost 5 inf + 0 19.380 * * [simplify]: Extracting #2: cost 10 inf + 0 19.380 * * [simplify]: Extracting #3: cost 11 inf + 1 19.380 * * [simplify]: Extracting #4: cost 10 inf + 245 19.381 * * [simplify]: Extracting #5: cost 12 inf + 286 19.381 * * [simplify]: Extracting #6: cost 8 inf + 410 19.381 * * [simplify]: Extracting #7: cost 6 inf + 694 19.382 * * [simplify]: Extracting #8: cost 1 inf + 1744 19.382 * * [simplify]: Extracting #9: cost 0 inf + 1946 19.383 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 19.383 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 19.383 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 19.384 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 19.384 * * [simplify]: iters left: 6 (7 enodes) 19.387 * * [simplify]: iters left: 5 (24 enodes) 19.394 * * [simplify]: iters left: 4 (27 enodes) 19.401 * * [simplify]: Extracting #0: cost 1 inf + 0 19.401 * * [simplify]: Extracting #1: cost 5 inf + 0 19.401 * * [simplify]: Extracting #2: cost 7 inf + 1 19.401 * * [simplify]: Extracting #3: cost 8 inf + 83 19.402 * * [simplify]: Extracting #4: cost 10 inf + 124 19.402 * * [simplify]: Extracting #5: cost 6 inf + 248 19.402 * * [simplify]: Extracting #6: cost 3 inf + 654 19.402 * * [simplify]: Extracting #7: cost 1 inf + 1018 19.403 * * [simplify]: Extracting #8: cost 0 inf + 1220 19.403 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 19.404 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 19.404 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 19.404 * * * * [progress]: [ 45 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 19.404 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 19.404 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 19.404 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 19.404 * * [simplify]: iters left: 6 (14 enodes) 19.414 * * [simplify]: iters left: 5 (50 enodes) 19.428 * * [simplify]: iters left: 4 (60 enodes) 19.444 * * [simplify]: Extracting #0: cost 1 inf + 0 19.445 * * [simplify]: Extracting #1: cost 5 inf + 0 19.445 * * [simplify]: Extracting #2: cost 10 inf + 0 19.445 * * [simplify]: Extracting #3: cost 14 inf + 0 19.445 * * [simplify]: Extracting #4: cost 23 inf + 0 19.445 * * [simplify]: Extracting #5: cost 24 inf + 44 19.445 * * [simplify]: Extracting #6: cost 17 inf + 729 19.446 * * [simplify]: Extracting #7: cost 13 inf + 1368 19.447 * * [simplify]: Extracting #8: cost 4 inf + 3396 19.448 * * [simplify]: Extracting #9: cost 0 inf + 4915 19.450 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 19.450 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 19.450 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 19.450 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 19.450 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 19.451 * [simplify]: Simplifying (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 19.451 * * [simplify]: iters left: 6 (16 enodes) 19.460 * * [simplify]: iters left: 5 (59 enodes) 19.477 * * [simplify]: iters left: 4 (145 enodes) 19.526 * * [simplify]: iters left: 3 (477 enodes) 19.850 * * [simplify]: Extracting #0: cost 1 inf + 0 19.851 * * [simplify]: Extracting #1: cost 139 inf + 0 19.853 * * [simplify]: Extracting #2: cost 309 inf + 168 19.854 * * [simplify]: Extracting #3: cost 339 inf + 1766 19.857 * * [simplify]: Extracting #4: cost 313 inf + 5320 19.859 * * [simplify]: Extracting #5: cost 307 inf + 6547 19.862 * * [simplify]: Extracting #6: cost 286 inf + 12012 19.877 * * [simplify]: Extracting #7: cost 173 inf + 51082 19.919 * * [simplify]: Extracting #8: cost 31 inf + 108716 19.967 * * [simplify]: Extracting #9: cost 0 inf + 122824 20.021 * [simplify]: Simplified to (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.021 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.021 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 20.021 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 20.021 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 20.022 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 20.022 * * [simplify]: iters left: 6 (10 enodes) 20.027 * * [simplify]: iters left: 5 (38 enodes) 20.039 * * [simplify]: iters left: 4 (57 enodes) 20.055 * * [simplify]: iters left: 3 (84 enodes) 20.070 * * [simplify]: iters left: 2 (124 enodes) 20.088 * * [simplify]: iters left: 1 (145 enodes) 20.124 * * [simplify]: Extracting #0: cost 1 inf + 0 20.124 * * [simplify]: Extracting #1: cost 16 inf + 0 20.124 * * [simplify]: Extracting #2: cost 40 inf + 2 20.125 * * [simplify]: Extracting #3: cost 46 inf + 375 20.125 * * [simplify]: Extracting #4: cost 36 inf + 1320 20.126 * * [simplify]: Extracting #5: cost 23 inf + 3790 20.128 * * [simplify]: Extracting #6: cost 0 inf + 8845 20.129 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 20.130 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 20.130 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 20.130 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 20.131 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 20.132 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.132 * * [simplify]: iters left: 6 (16 enodes) 20.136 * * [simplify]: iters left: 5 (60 enodes) 20.145 * * [simplify]: iters left: 4 (82 enodes) 20.160 * * [simplify]: iters left: 3 (89 enodes) 20.184 * * [simplify]: iters left: 2 (92 enodes) 20.208 * * [simplify]: Extracting #0: cost 1 inf + 0 20.208 * * [simplify]: Extracting #1: cost 11 inf + 0 20.208 * * [simplify]: Extracting #2: cost 22 inf + 0 20.208 * * [simplify]: Extracting #3: cost 26 inf + 0 20.208 * * [simplify]: Extracting #4: cost 35 inf + 0 20.209 * * [simplify]: Extracting #5: cost 37 inf + 3 20.209 * * [simplify]: Extracting #6: cost 29 inf + 739 20.210 * * [simplify]: Extracting #7: cost 25 inf + 1588 20.211 * * [simplify]: Extracting #8: cost 23 inf + 1751 20.212 * * [simplify]: Extracting #9: cost 16 inf + 3165 20.215 * * [simplify]: Extracting #10: cost 1 inf + 10566 20.219 * * [simplify]: Extracting #11: cost 0 inf + 11049 20.223 * [simplify]: Simplified to (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.223 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.224 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.224 * * [simplify]: iters left: 6 (14 enodes) 20.230 * * [simplify]: iters left: 5 (48 enodes) 20.238 * * [simplify]: iters left: 4 (55 enodes) 20.245 * * [simplify]: Extracting #0: cost 1 inf + 0 20.245 * * [simplify]: Extracting #1: cost 4 inf + 0 20.245 * * [simplify]: Extracting #2: cost 8 inf + 0 20.245 * * [simplify]: Extracting #3: cost 12 inf + 0 20.246 * * [simplify]: Extracting #4: cost 21 inf + 0 20.246 * * [simplify]: Extracting #5: cost 22 inf + 44 20.246 * * [simplify]: Extracting #6: cost 14 inf + 861 20.246 * * [simplify]: Extracting #7: cost 10 inf + 1510 20.247 * * [simplify]: Extracting #8: cost 2 inf + 3526 20.248 * * [simplify]: Extracting #9: cost 0 inf + 4291 20.249 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.249 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.249 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 20.250 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.250 * * [simplify]: iters left: 6 (16 enodes) 20.254 * * [simplify]: iters left: 5 (57 enodes) 20.263 * * [simplify]: iters left: 4 (68 enodes) 20.282 * * [simplify]: iters left: 3 (71 enodes) 20.301 * * [simplify]: Extracting #0: cost 1 inf + 0 20.301 * * [simplify]: Extracting #1: cost 7 inf + 0 20.301 * * [simplify]: Extracting #2: cost 15 inf + 0 20.301 * * [simplify]: Extracting #3: cost 20 inf + 0 20.301 * * [simplify]: Extracting #4: cost 29 inf + 0 20.301 * * [simplify]: Extracting #5: cost 30 inf + 44 20.302 * * [simplify]: Extracting #6: cost 22 inf + 861 20.302 * * [simplify]: Extracting #7: cost 18 inf + 1710 20.303 * * [simplify]: Extracting #8: cost 10 inf + 3205 20.305 * * [simplify]: Extracting #9: cost 3 inf + 6102 20.308 * * [simplify]: Extracting #10: cost 0 inf + 7671 20.310 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.310 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.311 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.311 * * [simplify]: iters left: 6 (14 enodes) 20.318 * * [simplify]: iters left: 5 (48 enodes) 20.333 * * [simplify]: iters left: 4 (55 enodes) 20.348 * * [simplify]: Extracting #0: cost 1 inf + 0 20.348 * * [simplify]: Extracting #1: cost 4 inf + 0 20.348 * * [simplify]: Extracting #2: cost 8 inf + 0 20.349 * * [simplify]: Extracting #3: cost 12 inf + 0 20.349 * * [simplify]: Extracting #4: cost 21 inf + 0 20.349 * * [simplify]: Extracting #5: cost 22 inf + 44 20.349 * * [simplify]: Extracting #6: cost 14 inf + 861 20.350 * * [simplify]: Extracting #7: cost 10 inf + 1510 20.351 * * [simplify]: Extracting #8: cost 2 inf + 3566 20.352 * * [simplify]: Extracting #9: cost 0 inf + 4371 20.353 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.353 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.354 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 20.354 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.354 * * [simplify]: iters left: 6 (15 enodes) 20.361 * * [simplify]: iters left: 5 (53 enodes) 20.377 * * [simplify]: iters left: 4 (64 enodes) 20.397 * * [simplify]: iters left: 3 (67 enodes) 20.416 * * [simplify]: Extracting #0: cost 1 inf + 0 20.416 * * [simplify]: Extracting #1: cost 7 inf + 0 20.416 * * [simplify]: Extracting #2: cost 14 inf + 0 20.416 * * [simplify]: Extracting #3: cost 18 inf + 0 20.416 * * [simplify]: Extracting #4: cost 27 inf + 0 20.417 * * [simplify]: Extracting #5: cost 29 inf + 3 20.417 * * [simplify]: Extracting #6: cost 20 inf + 941 20.418 * * [simplify]: Extracting #7: cost 15 inf + 1832 20.419 * * [simplify]: Extracting #8: cost 7 inf + 3407 20.420 * * [simplify]: Extracting #9: cost 2 inf + 5661 20.422 * * [simplify]: Extracting #10: cost 0 inf + 6627 20.424 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.424 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.425 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.425 * * [simplify]: iters left: 6 (14 enodes) 20.431 * * [simplify]: iters left: 5 (48 enodes) 20.445 * * [simplify]: iters left: 4 (55 enodes) 20.460 * * [simplify]: Extracting #0: cost 1 inf + 0 20.460 * * [simplify]: Extracting #1: cost 4 inf + 0 20.460 * * [simplify]: Extracting #2: cost 8 inf + 0 20.460 * * [simplify]: Extracting #3: cost 12 inf + 0 20.460 * * [simplify]: Extracting #4: cost 21 inf + 0 20.460 * * [simplify]: Extracting #5: cost 22 inf + 44 20.461 * * [simplify]: Extracting #6: cost 14 inf + 861 20.461 * * [simplify]: Extracting #7: cost 10 inf + 1510 20.462 * * [simplify]: Extracting #8: cost 2 inf + 3406 20.464 * * [simplify]: Extracting #9: cost 0 inf + 4131 20.465 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.465 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.465 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 20.466 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 20.466 * * [simplify]: iters left: 6 (10 enodes) 20.472 * * [simplify]: iters left: 5 (37 enodes) 20.483 * * [simplify]: iters left: 4 (47 enodes) 20.496 * * [simplify]: iters left: 3 (51 enodes) 20.503 * * [simplify]: iters left: 2 (52 enodes) 20.509 * * [simplify]: Extracting #0: cost 1 inf + 0 20.509 * * [simplify]: Extracting #1: cost 5 inf + 0 20.509 * * [simplify]: Extracting #2: cost 7 inf + 1 20.509 * * [simplify]: Extracting #3: cost 9 inf + 1 20.509 * * [simplify]: Extracting #4: cost 14 inf + 1 20.509 * * [simplify]: Extracting #5: cost 14 inf + 3 20.509 * * [simplify]: Extracting #6: cost 8 inf + 333 20.510 * * [simplify]: Extracting #7: cost 3 inf + 1223 20.510 * * [simplify]: Extracting #8: cost 0 inf + 1951 20.510 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 20.510 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.511 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.511 * * [simplify]: iters left: 6 (13 enodes) 20.514 * * [simplify]: iters left: 5 (45 enodes) 20.520 * * [simplify]: iters left: 4 (52 enodes) 20.534 * * [simplify]: Extracting #0: cost 1 inf + 0 20.534 * * [simplify]: Extracting #1: cost 4 inf + 0 20.534 * * [simplify]: Extracting #2: cost 8 inf + 0 20.534 * * [simplify]: Extracting #3: cost 14 inf + 0 20.534 * * [simplify]: Extracting #4: cost 20 inf + 42 20.534 * * [simplify]: Extracting #5: cost 21 inf + 85 20.534 * * [simplify]: Extracting #6: cost 13 inf + 940 20.535 * * [simplify]: Extracting #7: cost 1 inf + 3044 20.535 * * [simplify]: Extracting #8: cost 0 inf + 3487 20.536 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.536 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.536 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 20.536 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.536 * * [simplify]: iters left: 6 (16 enodes) 20.540 * * [simplify]: iters left: 5 (55 enodes) 20.547 * * [simplify]: iters left: 4 (63 enodes) 20.556 * * [simplify]: iters left: 3 (66 enodes) 20.569 * * [simplify]: Extracting #0: cost 1 inf + 0 20.569 * * [simplify]: Extracting #1: cost 7 inf + 0 20.569 * * [simplify]: Extracting #2: cost 14 inf + 0 20.569 * * [simplify]: Extracting #3: cost 19 inf + 0 20.569 * * [simplify]: Extracting #4: cost 28 inf + 0 20.569 * * [simplify]: Extracting #5: cost 28 inf + 44 20.569 * * [simplify]: Extracting #6: cost 23 inf + 615 20.570 * * [simplify]: Extracting #7: cost 16 inf + 1710 20.571 * * [simplify]: Extracting #8: cost 10 inf + 2681 20.572 * * [simplify]: Extracting #9: cost 3 inf + 5418 20.574 * * [simplify]: Extracting #10: cost 0 inf + 7027 20.577 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 20.577 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 20.577 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.577 * * [simplify]: iters left: 6 (15 enodes) 20.584 * * [simplify]: iters left: 5 (51 enodes) 20.598 * * [simplify]: iters left: 4 (58 enodes) 20.613 * * [simplify]: Extracting #0: cost 1 inf + 0 20.613 * * [simplify]: Extracting #1: cost 4 inf + 0 20.613 * * [simplify]: Extracting #2: cost 8 inf + 0 20.613 * * [simplify]: Extracting #3: cost 14 inf + 0 20.613 * * [simplify]: Extracting #4: cost 24 inf + 0 20.613 * * [simplify]: Extracting #5: cost 21 inf + 247 20.614 * * [simplify]: Extracting #6: cost 15 inf + 981 20.614 * * [simplify]: Extracting #7: cost 10 inf + 1672 20.614 * * [simplify]: Extracting #8: cost 3 inf + 3165 20.615 * * [simplify]: Extracting #9: cost 0 inf + 4533 20.616 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.616 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 20.616 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 20.616 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.616 * * [simplify]: iters left: 6 (16 enodes) 20.620 * * [simplify]: iters left: 5 (55 enodes) 20.630 * * [simplify]: iters left: 4 (63 enodes) 20.639 * * [simplify]: iters left: 3 (66 enodes) 20.651 * * [simplify]: Extracting #0: cost 1 inf + 0 20.651 * * [simplify]: Extracting #1: cost 7 inf + 0 20.652 * * [simplify]: Extracting #2: cost 14 inf + 0 20.652 * * [simplify]: Extracting #3: cost 19 inf + 0 20.652 * * [simplify]: Extracting #4: cost 28 inf + 0 20.652 * * [simplify]: Extracting #5: cost 28 inf + 44 20.652 * * [simplify]: Extracting #6: cost 23 inf + 615 20.652 * * [simplify]: Extracting #7: cost 16 inf + 1710 20.653 * * [simplify]: Extracting #8: cost 10 inf + 2681 20.653 * * [simplify]: Extracting #9: cost 3 inf + 5418 20.654 * * [simplify]: Extracting #10: cost 0 inf + 7027 20.656 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 20.656 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 20.656 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.656 * * [simplify]: iters left: 6 (15 enodes) 20.660 * * [simplify]: iters left: 5 (51 enodes) 20.667 * * [simplify]: iters left: 4 (58 enodes) 20.674 * * [simplify]: Extracting #0: cost 1 inf + 0 20.674 * * [simplify]: Extracting #1: cost 4 inf + 0 20.674 * * [simplify]: Extracting #2: cost 8 inf + 0 20.675 * * [simplify]: Extracting #3: cost 14 inf + 0 20.675 * * [simplify]: Extracting #4: cost 24 inf + 0 20.675 * * [simplify]: Extracting #5: cost 21 inf + 247 20.675 * * [simplify]: Extracting #6: cost 15 inf + 981 20.675 * * [simplify]: Extracting #7: cost 10 inf + 1672 20.676 * * [simplify]: Extracting #8: cost 3 inf + 3165 20.676 * * [simplify]: Extracting #9: cost 0 inf + 4533 20.677 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 20.677 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 20.677 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 20.677 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 20.678 * * [simplify]: iters left: 6 (10 enodes) 20.681 * * [simplify]: iters left: 5 (37 enodes) 20.689 * * [simplify]: iters left: 4 (47 enodes) 20.702 * * [simplify]: iters left: 3 (51 enodes) 20.715 * * [simplify]: iters left: 2 (52 enodes) 20.721 * * [simplify]: Extracting #0: cost 1 inf + 0 20.721 * * [simplify]: Extracting #1: cost 5 inf + 0 20.721 * * [simplify]: Extracting #2: cost 7 inf + 1 20.721 * * [simplify]: Extracting #3: cost 9 inf + 1 20.722 * * [simplify]: Extracting #4: cost 14 inf + 1 20.722 * * [simplify]: Extracting #5: cost 14 inf + 3 20.722 * * [simplify]: Extracting #6: cost 8 inf + 333 20.722 * * [simplify]: Extracting #7: cost 3 inf + 1223 20.722 * * [simplify]: Extracting #8: cost 0 inf + 1951 20.723 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 20.723 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.723 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.723 * * [simplify]: iters left: 6 (13 enodes) 20.728 * * [simplify]: iters left: 5 (45 enodes) 20.735 * * [simplify]: iters left: 4 (52 enodes) 20.742 * * [simplify]: Extracting #0: cost 1 inf + 0 20.742 * * [simplify]: Extracting #1: cost 4 inf + 0 20.742 * * [simplify]: Extracting #2: cost 8 inf + 0 20.742 * * [simplify]: Extracting #3: cost 14 inf + 0 20.742 * * [simplify]: Extracting #4: cost 20 inf + 42 20.742 * * [simplify]: Extracting #5: cost 21 inf + 85 20.742 * * [simplify]: Extracting #6: cost 13 inf + 940 20.743 * * [simplify]: Extracting #7: cost 1 inf + 3044 20.743 * * [simplify]: Extracting #8: cost 0 inf + 3487 20.744 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.744 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.745 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 20.745 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.745 * * [simplify]: iters left: 6 (15 enodes) 20.752 * * [simplify]: iters left: 5 (53 enodes) 20.768 * * [simplify]: iters left: 4 (64 enodes) 20.786 * * [simplify]: iters left: 3 (67 enodes) 20.804 * * [simplify]: Extracting #0: cost 1 inf + 0 20.804 * * [simplify]: Extracting #1: cost 7 inf + 0 20.804 * * [simplify]: Extracting #2: cost 14 inf + 0 20.804 * * [simplify]: Extracting #3: cost 18 inf + 0 20.804 * * [simplify]: Extracting #4: cost 27 inf + 0 20.804 * * [simplify]: Extracting #5: cost 29 inf + 3 20.805 * * [simplify]: Extracting #6: cost 20 inf + 941 20.806 * * [simplify]: Extracting #7: cost 15 inf + 1832 20.807 * * [simplify]: Extracting #8: cost 7 inf + 3407 20.808 * * [simplify]: Extracting #9: cost 2 inf + 5661 20.810 * * [simplify]: Extracting #10: cost 0 inf + 6627 20.813 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.813 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.813 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.813 * * [simplify]: iters left: 6 (14 enodes) 20.820 * * [simplify]: iters left: 5 (48 enodes) 20.834 * * [simplify]: iters left: 4 (55 enodes) 20.849 * * [simplify]: Extracting #0: cost 1 inf + 0 20.849 * * [simplify]: Extracting #1: cost 4 inf + 0 20.849 * * [simplify]: Extracting #2: cost 8 inf + 0 20.849 * * [simplify]: Extracting #3: cost 12 inf + 0 20.849 * * [simplify]: Extracting #4: cost 21 inf + 0 20.849 * * [simplify]: Extracting #5: cost 22 inf + 44 20.849 * * [simplify]: Extracting #6: cost 14 inf + 861 20.850 * * [simplify]: Extracting #7: cost 10 inf + 1510 20.851 * * [simplify]: Extracting #8: cost 2 inf + 3406 20.852 * * [simplify]: Extracting #9: cost 0 inf + 4131 20.853 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.853 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.854 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 20.854 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 20.854 * * [simplify]: iters left: 6 (9 enodes) 20.859 * * [simplify]: iters left: 5 (32 enodes) 20.868 * * [simplify]: iters left: 4 (46 enodes) 20.875 * * [simplify]: iters left: 3 (47 enodes) 20.881 * * [simplify]: Extracting #0: cost 1 inf + 0 20.881 * * [simplify]: Extracting #1: cost 5 inf + 0 20.881 * * [simplify]: Extracting #2: cost 7 inf + 1 20.881 * * [simplify]: Extracting #3: cost 9 inf + 1 20.881 * * [simplify]: Extracting #4: cost 14 inf + 1 20.882 * * [simplify]: Extracting #5: cost 14 inf + 3 20.882 * * [simplify]: Extracting #6: cost 11 inf + 168 20.882 * * [simplify]: Extracting #7: cost 4 inf + 1022 20.882 * * [simplify]: Extracting #8: cost 0 inf + 1951 20.883 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 20.883 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.883 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.883 * * [simplify]: iters left: 6 (13 enodes) 20.886 * * [simplify]: iters left: 5 (45 enodes) 20.897 * * [simplify]: iters left: 4 (52 enodes) 20.904 * * [simplify]: Extracting #0: cost 1 inf + 0 20.904 * * [simplify]: Extracting #1: cost 4 inf + 0 20.904 * * [simplify]: Extracting #2: cost 8 inf + 0 20.904 * * [simplify]: Extracting #3: cost 14 inf + 0 20.904 * * [simplify]: Extracting #4: cost 20 inf + 42 20.904 * * [simplify]: Extracting #5: cost 21 inf + 85 20.904 * * [simplify]: Extracting #6: cost 13 inf + 940 20.905 * * [simplify]: Extracting #7: cost 1 inf + 3044 20.906 * * [simplify]: Extracting #8: cost 0 inf + 3487 20.906 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.906 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 20.906 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 20.907 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.907 * * [simplify]: iters left: 6 (13 enodes) 20.910 * * [simplify]: iters left: 5 (44 enodes) 20.916 * * [simplify]: iters left: 4 (49 enodes) 20.926 * * [simplify]: Extracting #0: cost 1 inf + 0 20.926 * * [simplify]: Extracting #1: cost 6 inf + 0 20.926 * * [simplify]: Extracting #2: cost 12 inf + 0 20.927 * * [simplify]: Extracting #3: cost 13 inf + 1 20.927 * * [simplify]: Extracting #4: cost 16 inf + 42 20.927 * * [simplify]: Extracting #5: cost 16 inf + 125 20.927 * * [simplify]: Extracting #6: cost 18 inf + 166 20.927 * * [simplify]: Extracting #7: cost 20 inf + 207 20.927 * * [simplify]: Extracting #8: cost 17 inf + 290 20.928 * * [simplify]: Extracting #9: cost 10 inf + 1343 20.928 * * [simplify]: Extracting #10: cost 2 inf + 4001 20.929 * * [simplify]: Extracting #11: cost 0 inf + 4847 20.930 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.930 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.930 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.930 * * [simplify]: iters left: 6 (11 enodes) 20.932 * * [simplify]: iters left: 5 (37 enodes) 20.937 * * [simplify]: iters left: 4 (40 enodes) 20.942 * * [simplify]: Extracting #0: cost 1 inf + 0 20.942 * * [simplify]: Extracting #1: cost 4 inf + 0 20.942 * * [simplify]: Extracting #2: cost 9 inf + 0 20.942 * * [simplify]: Extracting #3: cost 11 inf + 1 20.942 * * [simplify]: Extracting #4: cost 11 inf + 165 20.942 * * [simplify]: Extracting #5: cost 13 inf + 166 20.942 * * [simplify]: Extracting #6: cost 13 inf + 248 20.942 * * [simplify]: Extracting #7: cost 11 inf + 533 20.943 * * [simplify]: Extracting #8: cost 6 inf + 1302 20.943 * * [simplify]: Extracting #9: cost 2 inf + 2430 20.943 * * [simplify]: Extracting #10: cost 1 inf + 2832 20.944 * * [simplify]: Extracting #11: cost 0 inf + 3234 20.944 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 20.944 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 20.945 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 20.945 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 20.945 * * [simplify]: iters left: 6 (13 enodes) 20.950 * * [simplify]: iters left: 5 (43 enodes) 20.956 * * [simplify]: iters left: 4 (46 enodes) 20.965 * * [simplify]: Extracting #0: cost 1 inf + 0 20.965 * * [simplify]: Extracting #1: cost 4 inf + 0 20.965 * * [simplify]: Extracting #2: cost 9 inf + 0 20.965 * * [simplify]: Extracting #3: cost 11 inf + 1 20.965 * * [simplify]: Extracting #4: cost 13 inf + 83 20.965 * * [simplify]: Extracting #5: cost 14 inf + 125 20.966 * * [simplify]: Extracting #6: cost 16 inf + 166 20.966 * * [simplify]: Extracting #7: cost 18 inf + 207 20.966 * * [simplify]: Extracting #8: cost 14 inf + 331 20.967 * * [simplify]: Extracting #9: cost 8 inf + 1383 20.967 * * [simplify]: Extracting #10: cost 1 inf + 3558 20.969 * * [simplify]: Extracting #11: cost 0 inf + 3961 20.970 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.970 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.970 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.970 * * [simplify]: iters left: 6 (11 enodes) 20.975 * * [simplify]: iters left: 5 (37 enodes) 20.985 * * [simplify]: iters left: 4 (40 enodes) 20.996 * * [simplify]: Extracting #0: cost 1 inf + 0 20.996 * * [simplify]: Extracting #1: cost 4 inf + 0 20.996 * * [simplify]: Extracting #2: cost 9 inf + 0 20.996 * * [simplify]: Extracting #3: cost 11 inf + 1 20.996 * * [simplify]: Extracting #4: cost 11 inf + 165 20.996 * * [simplify]: Extracting #5: cost 13 inf + 166 20.996 * * [simplify]: Extracting #6: cost 13 inf + 248 20.997 * * [simplify]: Extracting #7: cost 11 inf + 533 20.997 * * [simplify]: Extracting #8: cost 6 inf + 1302 20.998 * * [simplify]: Extracting #9: cost 2 inf + 2510 20.999 * * [simplify]: Extracting #10: cost 1 inf + 2912 21.000 * * [simplify]: Extracting #11: cost 0 inf + 3314 21.001 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 21.001 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 21.001 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 21.001 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.001 * * [simplify]: iters left: 6 (12 enodes) 21.008 * * [simplify]: iters left: 5 (39 enodes) 21.020 * * [simplify]: iters left: 4 (42 enodes) 21.032 * * [simplify]: Extracting #0: cost 1 inf + 0 21.033 * * [simplify]: Extracting #1: cost 4 inf + 0 21.033 * * [simplify]: Extracting #2: cost 8 inf + 0 21.033 * * [simplify]: Extracting #3: cost 9 inf + 1 21.033 * * [simplify]: Extracting #4: cost 11 inf + 83 21.033 * * [simplify]: Extracting #5: cost 12 inf + 125 21.033 * * [simplify]: Extracting #6: cost 14 inf + 166 21.033 * * [simplify]: Extracting #7: cost 16 inf + 207 21.033 * * [simplify]: Extracting #8: cost 13 inf + 290 21.034 * * [simplify]: Extracting #9: cost 8 inf + 899 21.034 * * [simplify]: Extracting #10: cost 4 inf + 1787 21.035 * * [simplify]: Extracting #11: cost 1 inf + 2714 21.036 * * [simplify]: Extracting #12: cost 0 inf + 3077 21.037 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.037 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.038 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.038 * * [simplify]: iters left: 6 (11 enodes) 21.043 * * [simplify]: iters left: 5 (37 enodes) 21.053 * * [simplify]: iters left: 4 (40 enodes) 21.064 * * [simplify]: Extracting #0: cost 1 inf + 0 21.064 * * [simplify]: Extracting #1: cost 4 inf + 0 21.064 * * [simplify]: Extracting #2: cost 9 inf + 0 21.064 * * [simplify]: Extracting #3: cost 11 inf + 1 21.065 * * [simplify]: Extracting #4: cost 11 inf + 165 21.065 * * [simplify]: Extracting #5: cost 13 inf + 166 21.065 * * [simplify]: Extracting #6: cost 13 inf + 248 21.065 * * [simplify]: Extracting #7: cost 11 inf + 533 21.066 * * [simplify]: Extracting #8: cost 6 inf + 1302 21.067 * * [simplify]: Extracting #9: cost 2 inf + 2350 21.067 * * [simplify]: Extracting #10: cost 1 inf + 2712 21.068 * * [simplify]: Extracting #11: cost 0 inf + 3074 21.069 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 21.069 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 21.070 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 21.070 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 21.070 * * [simplify]: iters left: 3 (5 enodes) 21.075 * * [simplify]: iters left: 2 (17 enodes) 21.081 * * [simplify]: iters left: 1 (19 enodes) 21.087 * * [simplify]: Extracting #0: cost 1 inf + 0 21.087 * * [simplify]: Extracting #1: cost 4 inf + 0 21.088 * * [simplify]: Extracting #2: cost 2 inf + 2 21.088 * * [simplify]: Extracting #3: cost 0 inf + 84 21.088 * [simplify]: Simplified to (sqrt 2.0) 21.088 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.088 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.088 * * [simplify]: iters left: 6 (10 enodes) 21.093 * * [simplify]: iters left: 5 (34 enodes) 21.102 * * [simplify]: iters left: 4 (37 enodes) 21.107 * * [simplify]: Extracting #0: cost 1 inf + 0 21.107 * * [simplify]: Extracting #1: cost 4 inf + 0 21.107 * * [simplify]: Extracting #2: cost 9 inf + 0 21.107 * * [simplify]: Extracting #3: cost 13 inf + 1 21.108 * * [simplify]: Extracting #4: cost 10 inf + 207 21.108 * * [simplify]: Extracting #5: cost 11 inf + 248 21.108 * * [simplify]: Extracting #6: cost 9 inf + 533 21.108 * * [simplify]: Extracting #7: cost 5 inf + 1100 21.108 * * [simplify]: Extracting #8: cost 1 inf + 2108 21.109 * * [simplify]: Extracting #9: cost 0 inf + 2430 21.109 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 21.109 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 21.109 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 21.110 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.110 * * [simplify]: iters left: 6 (13 enodes) 21.113 * * [simplify]: iters left: 5 (41 enodes) 21.119 * * [simplify]: Extracting #0: cost 1 inf + 0 21.119 * * [simplify]: Extracting #1: cost 4 inf + 0 21.119 * * [simplify]: Extracting #2: cost 8 inf + 0 21.119 * * [simplify]: Extracting #3: cost 10 inf + 1 21.120 * * [simplify]: Extracting #4: cost 12 inf + 83 21.120 * * [simplify]: Extracting #5: cost 12 inf + 125 21.120 * * [simplify]: Extracting #6: cost 14 inf + 166 21.120 * * [simplify]: Extracting #7: cost 16 inf + 207 21.120 * * [simplify]: Extracting #8: cost 13 inf + 290 21.120 * * [simplify]: Extracting #9: cost 10 inf + 615 21.120 * * [simplify]: Extracting #10: cost 5 inf + 1705 21.121 * * [simplify]: Extracting #11: cost 1 inf + 2914 21.121 * * [simplify]: Extracting #12: cost 0 inf + 3317 21.122 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.122 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.122 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.122 * * [simplify]: iters left: 6 (12 enodes) 21.125 * * [simplify]: iters left: 5 (40 enodes) 21.130 * * [simplify]: iters left: 4 (43 enodes) 21.140 * * [simplify]: Extracting #0: cost 1 inf + 0 21.140 * * [simplify]: Extracting #1: cost 4 inf + 0 21.141 * * [simplify]: Extracting #2: cost 9 inf + 0 21.141 * * [simplify]: Extracting #3: cost 13 inf + 1 21.141 * * [simplify]: Extracting #4: cost 15 inf + 124 21.141 * * [simplify]: Extracting #5: cost 15 inf + 166 21.141 * * [simplify]: Extracting #6: cost 14 inf + 329 21.142 * * [simplify]: Extracting #7: cost 12 inf + 573 21.142 * * [simplify]: Extracting #8: cost 6 inf + 1544 21.143 * * [simplify]: Extracting #9: cost 0 inf + 3476 21.144 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 21.144 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 21.145 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 21.145 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.145 * * [simplify]: iters left: 6 (13 enodes) 21.152 * * [simplify]: iters left: 5 (41 enodes) 21.163 * * [simplify]: Extracting #0: cost 1 inf + 0 21.164 * * [simplify]: Extracting #1: cost 4 inf + 0 21.164 * * [simplify]: Extracting #2: cost 8 inf + 0 21.164 * * [simplify]: Extracting #3: cost 10 inf + 1 21.164 * * [simplify]: Extracting #4: cost 12 inf + 83 21.164 * * [simplify]: Extracting #5: cost 12 inf + 125 21.164 * * [simplify]: Extracting #6: cost 14 inf + 166 21.164 * * [simplify]: Extracting #7: cost 16 inf + 207 21.164 * * [simplify]: Extracting #8: cost 13 inf + 290 21.164 * * [simplify]: Extracting #9: cost 10 inf + 615 21.164 * * [simplify]: Extracting #10: cost 5 inf + 1705 21.165 * * [simplify]: Extracting #11: cost 1 inf + 2914 21.165 * * [simplify]: Extracting #12: cost 0 inf + 3317 21.166 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.166 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.166 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.166 * * [simplify]: iters left: 6 (12 enodes) 21.169 * * [simplify]: iters left: 5 (40 enodes) 21.174 * * [simplify]: iters left: 4 (43 enodes) 21.180 * * [simplify]: Extracting #0: cost 1 inf + 0 21.180 * * [simplify]: Extracting #1: cost 4 inf + 0 21.180 * * [simplify]: Extracting #2: cost 9 inf + 0 21.180 * * [simplify]: Extracting #3: cost 13 inf + 1 21.180 * * [simplify]: Extracting #4: cost 15 inf + 124 21.180 * * [simplify]: Extracting #5: cost 15 inf + 166 21.180 * * [simplify]: Extracting #6: cost 14 inf + 329 21.180 * * [simplify]: Extracting #7: cost 12 inf + 573 21.181 * * [simplify]: Extracting #8: cost 6 inf + 1544 21.181 * * [simplify]: Extracting #9: cost 0 inf + 3476 21.182 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 21.182 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 21.182 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 21.182 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 21.182 * * [simplify]: iters left: 3 (5 enodes) 21.185 * * [simplify]: iters left: 2 (17 enodes) 21.188 * * [simplify]: iters left: 1 (19 enodes) 21.195 * * [simplify]: Extracting #0: cost 1 inf + 0 21.195 * * [simplify]: Extracting #1: cost 4 inf + 0 21.195 * * [simplify]: Extracting #2: cost 2 inf + 2 21.195 * * [simplify]: Extracting #3: cost 0 inf + 84 21.195 * [simplify]: Simplified to (sqrt 2.0) 21.195 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.196 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.196 * * [simplify]: iters left: 6 (10 enodes) 21.203 * * [simplify]: iters left: 5 (34 enodes) 21.212 * * [simplify]: iters left: 4 (37 enodes) 21.222 * * [simplify]: Extracting #0: cost 1 inf + 0 21.222 * * [simplify]: Extracting #1: cost 4 inf + 0 21.222 * * [simplify]: Extracting #2: cost 9 inf + 0 21.222 * * [simplify]: Extracting #3: cost 13 inf + 1 21.222 * * [simplify]: Extracting #4: cost 10 inf + 207 21.222 * * [simplify]: Extracting #5: cost 11 inf + 248 21.223 * * [simplify]: Extracting #6: cost 9 inf + 533 21.223 * * [simplify]: Extracting #7: cost 5 inf + 1100 21.224 * * [simplify]: Extracting #8: cost 1 inf + 2108 21.224 * * [simplify]: Extracting #9: cost 0 inf + 2430 21.225 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 21.225 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 21.226 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 21.226 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.226 * * [simplify]: iters left: 6 (12 enodes) 21.232 * * [simplify]: iters left: 5 (39 enodes) 21.244 * * [simplify]: iters left: 4 (42 enodes) 21.256 * * [simplify]: Extracting #0: cost 1 inf + 0 21.256 * * [simplify]: Extracting #1: cost 4 inf + 0 21.256 * * [simplify]: Extracting #2: cost 8 inf + 0 21.256 * * [simplify]: Extracting #3: cost 9 inf + 1 21.256 * * [simplify]: Extracting #4: cost 11 inf + 83 21.256 * * [simplify]: Extracting #5: cost 12 inf + 125 21.257 * * [simplify]: Extracting #6: cost 14 inf + 166 21.257 * * [simplify]: Extracting #7: cost 16 inf + 207 21.257 * * [simplify]: Extracting #8: cost 13 inf + 290 21.257 * * [simplify]: Extracting #9: cost 8 inf + 899 21.258 * * [simplify]: Extracting #10: cost 4 inf + 1787 21.259 * * [simplify]: Extracting #11: cost 1 inf + 2714 21.260 * * [simplify]: Extracting #12: cost 0 inf + 3077 21.261 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.261 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.261 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.261 * * [simplify]: iters left: 6 (11 enodes) 21.266 * * [simplify]: iters left: 5 (37 enodes) 21.276 * * [simplify]: iters left: 4 (40 enodes) 21.287 * * [simplify]: Extracting #0: cost 1 inf + 0 21.287 * * [simplify]: Extracting #1: cost 4 inf + 0 21.287 * * [simplify]: Extracting #2: cost 9 inf + 0 21.287 * * [simplify]: Extracting #3: cost 11 inf + 1 21.287 * * [simplify]: Extracting #4: cost 11 inf + 165 21.287 * * [simplify]: Extracting #5: cost 13 inf + 166 21.288 * * [simplify]: Extracting #6: cost 13 inf + 248 21.288 * * [simplify]: Extracting #7: cost 11 inf + 533 21.289 * * [simplify]: Extracting #8: cost 6 inf + 1302 21.289 * * [simplify]: Extracting #9: cost 2 inf + 2350 21.290 * * [simplify]: Extracting #10: cost 1 inf + 2712 21.291 * * [simplify]: Extracting #11: cost 0 inf + 3074 21.292 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 21.292 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 21.292 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 21.293 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 21.293 * * [simplify]: iters left: 3 (4 enodes) 21.296 * * [simplify]: iters left: 2 (12 enodes) 21.300 * * [simplify]: iters left: 1 (14 enodes) 21.305 * * [simplify]: Extracting #0: cost 1 inf + 0 21.305 * * [simplify]: Extracting #1: cost 4 inf + 0 21.305 * * [simplify]: Extracting #2: cost 0 inf + 84 21.305 * [simplify]: Simplified to (sqrt 2.0) 21.306 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.306 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.306 * * [simplify]: iters left: 6 (10 enodes) 21.311 * * [simplify]: iters left: 5 (34 enodes) 21.320 * * [simplify]: iters left: 4 (37 enodes) 21.330 * * [simplify]: Extracting #0: cost 1 inf + 0 21.330 * * [simplify]: Extracting #1: cost 4 inf + 0 21.330 * * [simplify]: Extracting #2: cost 9 inf + 0 21.330 * * [simplify]: Extracting #3: cost 13 inf + 1 21.330 * * [simplify]: Extracting #4: cost 10 inf + 207 21.330 * * [simplify]: Extracting #5: cost 11 inf + 248 21.331 * * [simplify]: Extracting #6: cost 9 inf + 533 21.331 * * [simplify]: Extracting #7: cost 5 inf + 1100 21.332 * * [simplify]: Extracting #8: cost 1 inf + 2108 21.332 * * [simplify]: Extracting #9: cost 0 inf + 2430 21.333 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 21.333 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 21.334 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 21.334 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.334 * * [simplify]: iters left: 6 (15 enodes) 21.341 * * [simplify]: iters left: 5 (53 enodes) 21.359 * * [simplify]: iters left: 4 (62 enodes) 21.367 * * [simplify]: Extracting #0: cost 1 inf + 0 21.368 * * [simplify]: Extracting #1: cost 6 inf + 0 21.368 * * [simplify]: Extracting #2: cost 12 inf + 0 21.368 * * [simplify]: Extracting #3: cost 16 inf + 0 21.368 * * [simplify]: Extracting #4: cost 25 inf + 0 21.368 * * [simplify]: Extracting #5: cost 27 inf + 3 21.368 * * [simplify]: Extracting #6: cost 19 inf + 819 21.368 * * [simplify]: Extracting #7: cost 14 inf + 1470 21.369 * * [simplify]: Extracting #8: cost 5 inf + 3567 21.370 * * [simplify]: Extracting #9: cost 0 inf + 5901 21.371 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.371 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.371 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.371 * * [simplify]: iters left: 6 (14 enodes) 21.375 * * [simplify]: iters left: 5 (48 enodes) 21.382 * * [simplify]: iters left: 4 (55 enodes) 21.395 * * [simplify]: Extracting #0: cost 1 inf + 0 21.396 * * [simplify]: Extracting #1: cost 4 inf + 0 21.396 * * [simplify]: Extracting #2: cost 8 inf + 0 21.396 * * [simplify]: Extracting #3: cost 12 inf + 0 21.396 * * [simplify]: Extracting #4: cost 21 inf + 0 21.396 * * [simplify]: Extracting #5: cost 22 inf + 44 21.396 * * [simplify]: Extracting #6: cost 14 inf + 821 21.397 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.398 * * [simplify]: Extracting #8: cost 2 inf + 3406 21.399 * * [simplify]: Extracting #9: cost 0 inf + 4131 21.401 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.401 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.401 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 21.402 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.402 * * [simplify]: iters left: 6 (15 enodes) 21.409 * * [simplify]: iters left: 5 (52 enodes) 21.425 * * [simplify]: iters left: 4 (59 enodes) 21.442 * * [simplify]: Extracting #0: cost 1 inf + 0 21.442 * * [simplify]: Extracting #1: cost 4 inf + 0 21.442 * * [simplify]: Extracting #2: cost 9 inf + 0 21.442 * * [simplify]: Extracting #3: cost 14 inf + 0 21.442 * * [simplify]: Extracting #4: cost 23 inf + 0 21.442 * * [simplify]: Extracting #5: cost 24 inf + 44 21.443 * * [simplify]: Extracting #6: cost 19 inf + 575 21.443 * * [simplify]: Extracting #7: cost 13 inf + 1308 21.444 * * [simplify]: Extracting #8: cost 5 inf + 2963 21.445 * * [simplify]: Extracting #9: cost 0 inf + 4855 21.447 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.447 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.448 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.448 * * [simplify]: iters left: 6 (14 enodes) 21.454 * * [simplify]: iters left: 5 (48 enodes) 21.468 * * [simplify]: iters left: 4 (55 enodes) 21.484 * * [simplify]: Extracting #0: cost 1 inf + 0 21.484 * * [simplify]: Extracting #1: cost 4 inf + 0 21.484 * * [simplify]: Extracting #2: cost 8 inf + 0 21.484 * * [simplify]: Extracting #3: cost 12 inf + 0 21.484 * * [simplify]: Extracting #4: cost 21 inf + 0 21.484 * * [simplify]: Extracting #5: cost 22 inf + 44 21.484 * * [simplify]: Extracting #6: cost 14 inf + 821 21.485 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.486 * * [simplify]: Extracting #8: cost 2 inf + 3446 21.490 * * [simplify]: Extracting #9: cost 0 inf + 4211 21.491 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.491 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.492 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 21.492 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.492 * * [simplify]: iters left: 6 (14 enodes) 21.498 * * [simplify]: iters left: 5 (48 enodes) 21.504 * * [simplify]: iters left: 4 (55 enodes) 21.512 * * [simplify]: Extracting #0: cost 1 inf + 0 21.512 * * [simplify]: Extracting #1: cost 4 inf + 0 21.512 * * [simplify]: Extracting #2: cost 8 inf + 0 21.512 * * [simplify]: Extracting #3: cost 12 inf + 0 21.512 * * [simplify]: Extracting #4: cost 21 inf + 0 21.512 * * [simplify]: Extracting #5: cost 22 inf + 44 21.512 * * [simplify]: Extracting #6: cost 14 inf + 821 21.512 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.513 * * [simplify]: Extracting #8: cost 2 inf + 3286 21.513 * * [simplify]: Extracting #9: cost 0 inf + 3971 21.514 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.514 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.514 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.515 * * [simplify]: iters left: 6 (14 enodes) 21.518 * * [simplify]: iters left: 5 (48 enodes) 21.525 * * [simplify]: iters left: 4 (55 enodes) 21.541 * * [simplify]: Extracting #0: cost 1 inf + 0 21.541 * * [simplify]: Extracting #1: cost 4 inf + 0 21.541 * * [simplify]: Extracting #2: cost 8 inf + 0 21.541 * * [simplify]: Extracting #3: cost 12 inf + 0 21.541 * * [simplify]: Extracting #4: cost 21 inf + 0 21.541 * * [simplify]: Extracting #5: cost 22 inf + 44 21.541 * * [simplify]: Extracting #6: cost 14 inf + 821 21.542 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.542 * * [simplify]: Extracting #8: cost 2 inf + 3286 21.543 * * [simplify]: Extracting #9: cost 0 inf + 3971 21.543 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.543 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.544 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 21.544 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 21.544 * * [simplify]: iters left: 6 (9 enodes) 21.547 * * [simplify]: iters left: 5 (32 enodes) 21.552 * * [simplify]: iters left: 4 (38 enodes) 21.559 * * [simplify]: iters left: 3 (40 enodes) 21.564 * * [simplify]: Extracting #0: cost 1 inf + 0 21.564 * * [simplify]: Extracting #1: cost 4 inf + 0 21.564 * * [simplify]: Extracting #2: cost 5 inf + 1 21.564 * * [simplify]: Extracting #3: cost 10 inf + 1 21.564 * * [simplify]: Extracting #4: cost 10 inf + 3 21.564 * * [simplify]: Extracting #5: cost 6 inf + 209 21.564 * * [simplify]: Extracting #6: cost 1 inf + 779 21.564 * * [simplify]: Extracting #7: cost 0 inf + 901 21.565 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 21.565 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.565 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.565 * * [simplify]: iters left: 6 (13 enodes) 21.568 * * [simplify]: iters left: 5 (45 enodes) 21.582 * * [simplify]: iters left: 4 (52 enodes) 21.593 * * [simplify]: Extracting #0: cost 1 inf + 0 21.593 * * [simplify]: Extracting #1: cost 4 inf + 0 21.593 * * [simplify]: Extracting #2: cost 8 inf + 0 21.593 * * [simplify]: Extracting #3: cost 14 inf + 0 21.593 * * [simplify]: Extracting #4: cost 20 inf + 42 21.593 * * [simplify]: Extracting #5: cost 21 inf + 85 21.593 * * [simplify]: Extracting #6: cost 13 inf + 900 21.594 * * [simplify]: Extracting #7: cost 1 inf + 2924 21.594 * * [simplify]: Extracting #8: cost 0 inf + 3327 21.595 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.595 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.595 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 21.595 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.595 * * [simplify]: iters left: 6 (15 enodes) 21.599 * * [simplify]: iters left: 5 (50 enodes) 21.608 * * [simplify]: iters left: 4 (54 enodes) 21.622 * * [simplify]: Extracting #0: cost 1 inf + 0 21.622 * * [simplify]: Extracting #1: cost 4 inf + 0 21.623 * * [simplify]: Extracting #2: cost 8 inf + 0 21.623 * * [simplify]: Extracting #3: cost 13 inf + 0 21.623 * * [simplify]: Extracting #4: cost 22 inf + 0 21.623 * * [simplify]: Extracting #5: cost 22 inf + 44 21.623 * * [simplify]: Extracting #6: cost 17 inf + 575 21.624 * * [simplify]: Extracting #7: cost 11 inf + 1308 21.624 * * [simplify]: Extracting #8: cost 4 inf + 2641 21.626 * * [simplify]: Extracting #9: cost 0 inf + 4211 21.627 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 21.627 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.628 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.628 * * [simplify]: iters left: 6 (15 enodes) 21.631 * * [simplify]: iters left: 5 (51 enodes) 21.639 * * [simplify]: iters left: 4 (58 enodes) 21.647 * * [simplify]: Extracting #0: cost 1 inf + 0 21.647 * * [simplify]: Extracting #1: cost 4 inf + 0 21.647 * * [simplify]: Extracting #2: cost 8 inf + 0 21.647 * * [simplify]: Extracting #3: cost 14 inf + 0 21.647 * * [simplify]: Extracting #4: cost 24 inf + 0 21.647 * * [simplify]: Extracting #5: cost 21 inf + 247 21.647 * * [simplify]: Extracting #6: cost 15 inf + 941 21.647 * * [simplify]: Extracting #7: cost 10 inf + 1592 21.648 * * [simplify]: Extracting #8: cost 3 inf + 3085 21.649 * * [simplify]: Extracting #9: cost 0 inf + 4373 21.649 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.649 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.650 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 21.650 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.650 * * [simplify]: iters left: 6 (15 enodes) 21.653 * * [simplify]: iters left: 5 (50 enodes) 21.661 * * [simplify]: iters left: 4 (54 enodes) 21.668 * * [simplify]: Extracting #0: cost 1 inf + 0 21.668 * * [simplify]: Extracting #1: cost 4 inf + 0 21.668 * * [simplify]: Extracting #2: cost 8 inf + 0 21.668 * * [simplify]: Extracting #3: cost 13 inf + 0 21.668 * * [simplify]: Extracting #4: cost 22 inf + 0 21.668 * * [simplify]: Extracting #5: cost 22 inf + 44 21.668 * * [simplify]: Extracting #6: cost 17 inf + 575 21.669 * * [simplify]: Extracting #7: cost 11 inf + 1308 21.669 * * [simplify]: Extracting #8: cost 4 inf + 2641 21.670 * * [simplify]: Extracting #9: cost 0 inf + 4211 21.671 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 21.671 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.671 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.671 * * [simplify]: iters left: 6 (15 enodes) 21.675 * * [simplify]: iters left: 5 (51 enodes) 21.691 * * [simplify]: iters left: 4 (58 enodes) 21.707 * * [simplify]: Extracting #0: cost 1 inf + 0 21.707 * * [simplify]: Extracting #1: cost 4 inf + 0 21.707 * * [simplify]: Extracting #2: cost 8 inf + 0 21.707 * * [simplify]: Extracting #3: cost 14 inf + 0 21.707 * * [simplify]: Extracting #4: cost 24 inf + 0 21.707 * * [simplify]: Extracting #5: cost 21 inf + 247 21.707 * * [simplify]: Extracting #6: cost 15 inf + 941 21.708 * * [simplify]: Extracting #7: cost 10 inf + 1592 21.709 * * [simplify]: Extracting #8: cost 3 inf + 3085 21.710 * * [simplify]: Extracting #9: cost 0 inf + 4373 21.712 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.712 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.712 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 21.712 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 21.713 * * [simplify]: iters left: 6 (9 enodes) 21.718 * * [simplify]: iters left: 5 (32 enodes) 21.728 * * [simplify]: iters left: 4 (38 enodes) 21.735 * * [simplify]: iters left: 3 (40 enodes) 21.740 * * [simplify]: Extracting #0: cost 1 inf + 0 21.740 * * [simplify]: Extracting #1: cost 4 inf + 0 21.740 * * [simplify]: Extracting #2: cost 5 inf + 1 21.740 * * [simplify]: Extracting #3: cost 10 inf + 1 21.741 * * [simplify]: Extracting #4: cost 10 inf + 3 21.741 * * [simplify]: Extracting #5: cost 6 inf + 209 21.741 * * [simplify]: Extracting #6: cost 1 inf + 779 21.741 * * [simplify]: Extracting #7: cost 0 inf + 901 21.741 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 21.741 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.742 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.742 * * [simplify]: iters left: 6 (13 enodes) 21.745 * * [simplify]: iters left: 5 (45 enodes) 21.751 * * [simplify]: iters left: 4 (52 enodes) 21.758 * * [simplify]: Extracting #0: cost 1 inf + 0 21.758 * * [simplify]: Extracting #1: cost 4 inf + 0 21.758 * * [simplify]: Extracting #2: cost 8 inf + 0 21.758 * * [simplify]: Extracting #3: cost 14 inf + 0 21.758 * * [simplify]: Extracting #4: cost 20 inf + 42 21.758 * * [simplify]: Extracting #5: cost 21 inf + 85 21.759 * * [simplify]: Extracting #6: cost 13 inf + 900 21.759 * * [simplify]: Extracting #7: cost 1 inf + 2924 21.760 * * [simplify]: Extracting #8: cost 0 inf + 3327 21.761 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.761 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.761 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 21.762 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.762 * * [simplify]: iters left: 6 (14 enodes) 21.768 * * [simplify]: iters left: 5 (48 enodes) 21.783 * * [simplify]: iters left: 4 (55 enodes) 21.798 * * [simplify]: Extracting #0: cost 1 inf + 0 21.799 * * [simplify]: Extracting #1: cost 4 inf + 0 21.799 * * [simplify]: Extracting #2: cost 8 inf + 0 21.799 * * [simplify]: Extracting #3: cost 12 inf + 0 21.799 * * [simplify]: Extracting #4: cost 21 inf + 0 21.799 * * [simplify]: Extracting #5: cost 22 inf + 44 21.799 * * [simplify]: Extracting #6: cost 14 inf + 821 21.800 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.801 * * [simplify]: Extracting #8: cost 2 inf + 3286 21.802 * * [simplify]: Extracting #9: cost 0 inf + 3971 21.803 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.803 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.804 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.804 * * [simplify]: iters left: 6 (14 enodes) 21.814 * * [simplify]: iters left: 5 (48 enodes) 21.827 * * [simplify]: iters left: 4 (55 enodes) 21.843 * * [simplify]: Extracting #0: cost 1 inf + 0 21.843 * * [simplify]: Extracting #1: cost 4 inf + 0 21.843 * * [simplify]: Extracting #2: cost 8 inf + 0 21.843 * * [simplify]: Extracting #3: cost 12 inf + 0 21.843 * * [simplify]: Extracting #4: cost 21 inf + 0 21.843 * * [simplify]: Extracting #5: cost 22 inf + 44 21.843 * * [simplify]: Extracting #6: cost 14 inf + 821 21.844 * * [simplify]: Extracting #7: cost 10 inf + 1430 21.845 * * [simplify]: Extracting #8: cost 2 inf + 3286 21.846 * * [simplify]: Extracting #9: cost 0 inf + 3971 21.847 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.847 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.848 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 21.848 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 21.848 * * [simplify]: iters left: 6 (8 enodes) 21.852 * * [simplify]: iters left: 5 (27 enodes) 21.860 * * [simplify]: iters left: 4 (33 enodes) 21.870 * * [simplify]: Extracting #0: cost 1 inf + 0 21.870 * * [simplify]: Extracting #1: cost 4 inf + 0 21.870 * * [simplify]: Extracting #2: cost 5 inf + 1 21.870 * * [simplify]: Extracting #3: cost 10 inf + 1 21.870 * * [simplify]: Extracting #4: cost 9 inf + 44 21.870 * * [simplify]: Extracting #5: cost 5 inf + 251 21.870 * * [simplify]: Extracting #6: cost 1 inf + 739 21.871 * * [simplify]: Extracting #7: cost 0 inf + 901 21.871 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 21.871 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.872 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.872 * * [simplify]: iters left: 6 (13 enodes) 21.878 * * [simplify]: iters left: 5 (45 enodes) 21.891 * * [simplify]: iters left: 4 (52 enodes) 21.900 * * [simplify]: Extracting #0: cost 1 inf + 0 21.900 * * [simplify]: Extracting #1: cost 4 inf + 0 21.900 * * [simplify]: Extracting #2: cost 8 inf + 0 21.901 * * [simplify]: Extracting #3: cost 14 inf + 0 21.901 * * [simplify]: Extracting #4: cost 20 inf + 42 21.901 * * [simplify]: Extracting #5: cost 21 inf + 85 21.901 * * [simplify]: Extracting #6: cost 13 inf + 900 21.901 * * [simplify]: Extracting #7: cost 1 inf + 2924 21.902 * * [simplify]: Extracting #8: cost 0 inf + 3327 21.902 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 21.903 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.903 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 21.903 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.903 * * [simplify]: iters left: 6 (12 enodes) 21.906 * * [simplify]: iters left: 5 (43 enodes) 21.912 * * [simplify]: iters left: 4 (50 enodes) 21.919 * * [simplify]: Extracting #0: cost 1 inf + 0 21.919 * * [simplify]: Extracting #1: cost 6 inf + 0 21.919 * * [simplify]: Extracting #2: cost 9 inf + 1 21.919 * * [simplify]: Extracting #3: cost 11 inf + 1 21.919 * * [simplify]: Extracting #4: cost 15 inf + 1 21.919 * * [simplify]: Extracting #5: cost 17 inf + 2 21.919 * * [simplify]: Extracting #6: cost 18 inf + 84 21.919 * * [simplify]: Extracting #7: cost 20 inf + 125 21.920 * * [simplify]: Extracting #8: cost 15 inf + 371 21.920 * * [simplify]: Extracting #9: cost 7 inf + 2027 21.920 * * [simplify]: Extracting #10: cost 1 inf + 4243 21.921 * * [simplify]: Extracting #11: cost 0 inf + 4605 21.922 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.922 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.922 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.922 * * [simplify]: iters left: 6 (13 enodes) 21.927 * * [simplify]: iters left: 5 (45 enodes) 21.941 * * [simplify]: iters left: 4 (52 enodes) 21.948 * * [simplify]: Extracting #0: cost 1 inf + 0 21.948 * * [simplify]: Extracting #1: cost 4 inf + 0 21.948 * * [simplify]: Extracting #2: cost 8 inf + 0 21.948 * * [simplify]: Extracting #3: cost 15 inf + 0 21.949 * * [simplify]: Extracting #4: cost 19 inf + 2 21.949 * * [simplify]: Extracting #5: cost 17 inf + 209 21.949 * * [simplify]: Extracting #6: cost 14 inf + 537 21.949 * * [simplify]: Extracting #7: cost 9 inf + 1308 21.950 * * [simplify]: Extracting #8: cost 1 inf + 3284 21.950 * * [simplify]: Extracting #9: cost 0 inf + 3727 21.951 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 21.951 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 21.951 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 21.951 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.951 * * [simplify]: iters left: 6 (12 enodes) 21.954 * * [simplify]: iters left: 5 (42 enodes) 21.960 * * [simplify]: iters left: 4 (47 enodes) 21.967 * * [simplify]: Extracting #0: cost 1 inf + 0 21.967 * * [simplify]: Extracting #1: cost 4 inf + 0 21.967 * * [simplify]: Extracting #2: cost 6 inf + 1 21.967 * * [simplify]: Extracting #3: cost 9 inf + 1 21.967 * * [simplify]: Extracting #4: cost 13 inf + 1 21.967 * * [simplify]: Extracting #5: cost 14 inf + 43 21.967 * * [simplify]: Extracting #6: cost 16 inf + 84 21.967 * * [simplify]: Extracting #7: cost 18 inf + 125 21.967 * * [simplify]: Extracting #8: cost 16 inf + 167 21.967 * * [simplify]: Extracting #9: cost 13 inf + 371 21.967 * * [simplify]: Extracting #10: cost 9 inf + 1019 21.968 * * [simplify]: Extracting #11: cost 2 inf + 3114 21.969 * * [simplify]: Extracting #12: cost 0 inf + 3799 21.970 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.970 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.971 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.971 * * [simplify]: iters left: 6 (13 enodes) 21.977 * * [simplify]: iters left: 5 (45 enodes) 21.990 * * [simplify]: iters left: 4 (52 enodes) 22.004 * * [simplify]: Extracting #0: cost 1 inf + 0 22.004 * * [simplify]: Extracting #1: cost 4 inf + 0 22.004 * * [simplify]: Extracting #2: cost 8 inf + 0 22.004 * * [simplify]: Extracting #3: cost 15 inf + 0 22.004 * * [simplify]: Extracting #4: cost 19 inf + 2 22.005 * * [simplify]: Extracting #5: cost 17 inf + 209 22.005 * * [simplify]: Extracting #6: cost 14 inf + 537 22.006 * * [simplify]: Extracting #7: cost 9 inf + 1308 22.007 * * [simplify]: Extracting #8: cost 1 inf + 3364 22.008 * * [simplify]: Extracting #9: cost 0 inf + 3807 22.009 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 22.009 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 22.009 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 22.010 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.010 * * [simplify]: iters left: 6 (11 enodes) 22.015 * * [simplify]: iters left: 5 (38 enodes) 22.026 * * [simplify]: iters left: 4 (43 enodes) 22.038 * * [simplify]: Extracting #0: cost 1 inf + 0 22.038 * * [simplify]: Extracting #1: cost 4 inf + 0 22.038 * * [simplify]: Extracting #2: cost 5 inf + 1 22.038 * * [simplify]: Extracting #3: cost 7 inf + 1 22.038 * * [simplify]: Extracting #4: cost 11 inf + 1 22.038 * * [simplify]: Extracting #5: cost 12 inf + 43 22.038 * * [simplify]: Extracting #6: cost 14 inf + 84 22.038 * * [simplify]: Extracting #7: cost 16 inf + 125 22.039 * * [simplify]: Extracting #8: cost 14 inf + 167 22.039 * * [simplify]: Extracting #9: cost 11 inf + 371 22.039 * * [simplify]: Extracting #10: cost 7 inf + 1019 22.040 * * [simplify]: Extracting #11: cost 3 inf + 1987 22.041 * * [simplify]: Extracting #12: cost 0 inf + 2915 22.042 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.042 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 22.042 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.043 * * [simplify]: iters left: 6 (13 enodes) 22.049 * * [simplify]: iters left: 5 (45 enodes) 22.062 * * [simplify]: iters left: 4 (52 enodes) 22.076 * * [simplify]: Extracting #0: cost 1 inf + 0 22.076 * * [simplify]: Extracting #1: cost 4 inf + 0 22.076 * * [simplify]: Extracting #2: cost 8 inf + 0 22.076 * * [simplify]: Extracting #3: cost 15 inf + 0 22.076 * * [simplify]: Extracting #4: cost 19 inf + 2 22.076 * * [simplify]: Extracting #5: cost 17 inf + 209 22.076 * * [simplify]: Extracting #6: cost 14 inf + 537 22.076 * * [simplify]: Extracting #7: cost 9 inf + 1308 22.077 * * [simplify]: Extracting #8: cost 1 inf + 3164 22.078 * * [simplify]: Extracting #9: cost 0 inf + 3567 22.078 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 22.078 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 22.078 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 22.079 * [simplify]: Simplifying (/ 1 (sqrt 1)) 22.079 * * [simplify]: iters left: 3 (3 enodes) 22.082 * * [simplify]: iters left: 2 (11 enodes) 22.084 * * [simplify]: iters left: 1 (13 enodes) 22.086 * * [simplify]: Extracting #0: cost 1 inf + 0 22.086 * * [simplify]: Extracting #1: cost 0 inf + 1 22.086 * [simplify]: Simplified to 1 22.086 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.086 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.086 * * [simplify]: iters left: 6 (12 enodes) 22.089 * * [simplify]: iters left: 5 (42 enodes) 22.095 * * [simplify]: iters left: 4 (49 enodes) 22.103 * * [simplify]: Extracting #0: cost 1 inf + 0 22.104 * * [simplify]: Extracting #1: cost 4 inf + 0 22.104 * * [simplify]: Extracting #2: cost 8 inf + 0 22.104 * * [simplify]: Extracting #3: cost 17 inf + 0 22.104 * * [simplify]: Extracting #4: cost 19 inf + 3 22.104 * * [simplify]: Extracting #5: cost 14 inf + 374 22.105 * * [simplify]: Extracting #6: cost 7 inf + 1388 22.105 * * [simplify]: Extracting #7: cost 1 inf + 2560 22.106 * * [simplify]: Extracting #8: cost 0 inf + 2923 22.107 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 22.107 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 22.108 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 22.108 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.108 * * [simplify]: iters left: 6 (12 enodes) 22.113 * * [simplify]: iters left: 5 (40 enodes) 22.120 * * [simplify]: iters left: 4 (42 enodes) 22.126 * * [simplify]: Extracting #0: cost 1 inf + 0 22.126 * * [simplify]: Extracting #1: cost 4 inf + 0 22.126 * * [simplify]: Extracting #2: cost 5 inf + 1 22.126 * * [simplify]: Extracting #3: cost 8 inf + 1 22.126 * * [simplify]: Extracting #4: cost 12 inf + 1 22.126 * * [simplify]: Extracting #5: cost 13 inf + 2 22.126 * * [simplify]: Extracting #6: cost 14 inf + 84 22.126 * * [simplify]: Extracting #7: cost 16 inf + 125 22.126 * * [simplify]: Extracting #8: cost 14 inf + 167 22.126 * * [simplify]: Extracting #9: cost 10 inf + 493 22.127 * * [simplify]: Extracting #10: cost 4 inf + 1785 22.127 * * [simplify]: Extracting #11: cost 2 inf + 2470 22.128 * * [simplify]: Extracting #12: cost 0 inf + 3155 22.128 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.128 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.128 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.129 * * [simplify]: iters left: 6 (14 enodes) 22.132 * * [simplify]: iters left: 5 (48 enodes) 22.138 * * [simplify]: iters left: 4 (55 enodes) 22.147 * * [simplify]: Extracting #0: cost 1 inf + 0 22.147 * * [simplify]: Extracting #1: cost 4 inf + 0 22.147 * * [simplify]: Extracting #2: cost 8 inf + 0 22.147 * * [simplify]: Extracting #3: cost 17 inf + 0 22.147 * * [simplify]: Extracting #4: cost 22 inf + 2 22.148 * * [simplify]: Extracting #5: cost 15 inf + 577 22.148 * * [simplify]: Extracting #6: cost 14 inf + 740 22.149 * * [simplify]: Extracting #7: cost 9 inf + 1510 22.150 * * [simplify]: Extracting #8: cost 2 inf + 3244 22.151 * * [simplify]: Extracting #9: cost 0 inf + 3969 22.152 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 22.152 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 22.153 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 22.153 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.153 * * [simplify]: iters left: 6 (12 enodes) 22.159 * * [simplify]: iters left: 5 (40 enodes) 22.167 * * [simplify]: iters left: 4 (42 enodes) 22.172 * * [simplify]: Extracting #0: cost 1 inf + 0 22.173 * * [simplify]: Extracting #1: cost 4 inf + 0 22.173 * * [simplify]: Extracting #2: cost 5 inf + 1 22.173 * * [simplify]: Extracting #3: cost 8 inf + 1 22.173 * * [simplify]: Extracting #4: cost 12 inf + 1 22.173 * * [simplify]: Extracting #5: cost 13 inf + 2 22.173 * * [simplify]: Extracting #6: cost 14 inf + 84 22.173 * * [simplify]: Extracting #7: cost 16 inf + 125 22.173 * * [simplify]: Extracting #8: cost 14 inf + 167 22.173 * * [simplify]: Extracting #9: cost 10 inf + 493 22.173 * * [simplify]: Extracting #10: cost 4 inf + 1785 22.174 * * [simplify]: Extracting #11: cost 2 inf + 2470 22.174 * * [simplify]: Extracting #12: cost 0 inf + 3155 22.175 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.175 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.175 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 22.175 * * [simplify]: iters left: 6 (14 enodes) 22.178 * * [simplify]: iters left: 5 (48 enodes) 22.185 * * [simplify]: iters left: 4 (55 enodes) 22.198 * * [simplify]: Extracting #0: cost 1 inf + 0 22.198 * * [simplify]: Extracting #1: cost 4 inf + 0 22.198 * * [simplify]: Extracting #2: cost 8 inf + 0 22.198 * * [simplify]: Extracting #3: cost 17 inf + 0 22.198 * * [simplify]: Extracting #4: cost 22 inf + 2 22.198 * * [simplify]: Extracting #5: cost 15 inf + 577 22.199 * * [simplify]: Extracting #6: cost 14 inf + 740 22.199 * * [simplify]: Extracting #7: cost 9 inf + 1510 22.200 * * [simplify]: Extracting #8: cost 2 inf + 3244 22.202 * * [simplify]: Extracting #9: cost 0 inf + 3969 22.203 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 22.203 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 22.203 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 22.204 * [simplify]: Simplifying (/ 1 (sqrt 1)) 22.204 * * [simplify]: iters left: 3 (3 enodes) 22.209 * * [simplify]: iters left: 2 (11 enodes) 22.212 * * [simplify]: iters left: 1 (13 enodes) 22.215 * * [simplify]: Extracting #0: cost 1 inf + 0 22.215 * * [simplify]: Extracting #1: cost 0 inf + 1 22.215 * [simplify]: Simplified to 1 22.216 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.216 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.216 * * [simplify]: iters left: 6 (12 enodes) 22.222 * * [simplify]: iters left: 5 (42 enodes) 22.234 * * [simplify]: iters left: 4 (49 enodes) 22.247 * * [simplify]: Extracting #0: cost 1 inf + 0 22.247 * * [simplify]: Extracting #1: cost 4 inf + 0 22.247 * * [simplify]: Extracting #2: cost 8 inf + 0 22.248 * * [simplify]: Extracting #3: cost 17 inf + 0 22.248 * * [simplify]: Extracting #4: cost 19 inf + 3 22.248 * * [simplify]: Extracting #5: cost 14 inf + 374 22.248 * * [simplify]: Extracting #6: cost 7 inf + 1388 22.248 * * [simplify]: Extracting #7: cost 1 inf + 2560 22.249 * * [simplify]: Extracting #8: cost 0 inf + 2923 22.250 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 22.250 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 22.250 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 22.250 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.250 * * [simplify]: iters left: 6 (11 enodes) 22.253 * * [simplify]: iters left: 5 (38 enodes) 22.258 * * [simplify]: iters left: 4 (43 enodes) 22.264 * * [simplify]: Extracting #0: cost 1 inf + 0 22.264 * * [simplify]: Extracting #1: cost 4 inf + 0 22.264 * * [simplify]: Extracting #2: cost 5 inf + 1 22.264 * * [simplify]: Extracting #3: cost 7 inf + 1 22.264 * * [simplify]: Extracting #4: cost 11 inf + 1 22.264 * * [simplify]: Extracting #5: cost 12 inf + 43 22.264 * * [simplify]: Extracting #6: cost 14 inf + 84 22.264 * * [simplify]: Extracting #7: cost 16 inf + 125 22.264 * * [simplify]: Extracting #8: cost 14 inf + 167 22.264 * * [simplify]: Extracting #9: cost 11 inf + 371 22.264 * * [simplify]: Extracting #10: cost 7 inf + 1019 22.265 * * [simplify]: Extracting #11: cost 3 inf + 1987 22.265 * * [simplify]: Extracting #12: cost 0 inf + 2915 22.266 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.266 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 22.266 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 22.266 * * [simplify]: iters left: 6 (13 enodes) 22.271 * * [simplify]: iters left: 5 (45 enodes) 22.279 * * [simplify]: iters left: 4 (52 enodes) 22.293 * * [simplify]: Extracting #0: cost 1 inf + 0 22.293 * * [simplify]: Extracting #1: cost 4 inf + 0 22.293 * * [simplify]: Extracting #2: cost 8 inf + 0 22.294 * * [simplify]: Extracting #3: cost 15 inf + 0 22.294 * * [simplify]: Extracting #4: cost 19 inf + 2 22.294 * * [simplify]: Extracting #5: cost 17 inf + 209 22.294 * * [simplify]: Extracting #6: cost 14 inf + 537 22.295 * * [simplify]: Extracting #7: cost 9 inf + 1308 22.296 * * [simplify]: Extracting #8: cost 1 inf + 3164 22.296 * * [simplify]: Extracting #9: cost 0 inf + 3567 22.297 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 22.297 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 22.297 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 22.297 * [simplify]: Simplifying (/ 1 1) 22.297 * * [simplify]: iters left: 2 (2 enodes) 22.298 * * [simplify]: iters left: 1 (6 enodes) 22.299 * * [simplify]: Extracting #0: cost 1 inf + 0 22.299 * * [simplify]: Extracting #1: cost 0 inf + 1 22.299 * [simplify]: Simplified to 1 22.299 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.300 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.300 * * [simplify]: iters left: 6 (12 enodes) 22.302 * * [simplify]: iters left: 5 (42 enodes) 22.309 * * [simplify]: iters left: 4 (49 enodes) 22.316 * * [simplify]: Extracting #0: cost 1 inf + 0 22.316 * * [simplify]: Extracting #1: cost 4 inf + 0 22.316 * * [simplify]: Extracting #2: cost 8 inf + 0 22.316 * * [simplify]: Extracting #3: cost 17 inf + 0 22.316 * * [simplify]: Extracting #4: cost 19 inf + 3 22.316 * * [simplify]: Extracting #5: cost 14 inf + 374 22.316 * * [simplify]: Extracting #6: cost 7 inf + 1388 22.317 * * [simplify]: Extracting #7: cost 1 inf + 2560 22.317 * * [simplify]: Extracting #8: cost 0 inf + 2923 22.318 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 22.318 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 22.318 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 22.318 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 22.318 * * * * [progress]: [ 94 / 122 ] simplifiying candidate # 22.318 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 22.318 * [simplify]: Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.318 * * [simplify]: iters left: 6 (9 enodes) 22.320 * * [simplify]: iters left: 5 (30 enodes) 22.324 * * [simplify]: iters left: 4 (33 enodes) 22.333 * * [simplify]: Extracting #0: cost 1 inf + 0 22.333 * * [simplify]: Extracting #1: cost 3 inf + 0 22.333 * * [simplify]: Extracting #2: cost 5 inf + 0 22.333 * * [simplify]: Extracting #3: cost 9 inf + 0 22.333 * * [simplify]: Extracting #4: cost 11 inf + 1 22.333 * * [simplify]: Extracting #5: cost 12 inf + 83 22.333 * * [simplify]: Extracting #6: cost 14 inf + 124 22.333 * * [simplify]: Extracting #7: cost 10 inf + 248 22.334 * * [simplify]: Extracting #8: cost 8 inf + 532 22.334 * * [simplify]: Extracting #9: cost 4 inf + 1260 22.335 * * [simplify]: Extracting #10: cost 0 inf + 2348 22.336 * [simplify]: Simplified to (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.336 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.336 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 22.336 * [simplify]: Simplifying (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 22.336 * * [simplify]: iters left: 6 (9 enodes) 22.340 * * [simplify]: iters left: 5 (30 enodes) 22.349 * * [simplify]: iters left: 4 (33 enodes) 22.358 * * [simplify]: Extracting #0: cost 1 inf + 0 22.358 * * [simplify]: Extracting #1: cost 3 inf + 0 22.358 * * [simplify]: Extracting #2: cost 5 inf + 0 22.358 * * [simplify]: Extracting #3: cost 9 inf + 0 22.358 * * [simplify]: Extracting #4: cost 11 inf + 1 22.358 * * [simplify]: Extracting #5: cost 12 inf + 83 22.359 * * [simplify]: Extracting #6: cost 14 inf + 124 22.359 * * [simplify]: Extracting #7: cost 10 inf + 248 22.359 * * [simplify]: Extracting #8: cost 8 inf + 532 22.359 * * [simplify]: Extracting #9: cost 4 inf + 1300 22.360 * * [simplify]: Extracting #10: cost 0 inf + 2428 22.361 * [simplify]: Simplified to (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 22.361 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.361 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 22.362 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.362 * * [simplify]: iters left: 6 (9 enodes) 22.366 * * [simplify]: iters left: 5 (30 enodes) 22.371 * * [simplify]: iters left: 4 (33 enodes) 22.375 * * [simplify]: Extracting #0: cost 1 inf + 0 22.375 * * [simplify]: Extracting #1: cost 3 inf + 0 22.375 * * [simplify]: Extracting #2: cost 5 inf + 0 22.375 * * [simplify]: Extracting #3: cost 9 inf + 0 22.375 * * [simplify]: Extracting #4: cost 11 inf + 1 22.375 * * [simplify]: Extracting #5: cost 12 inf + 83 22.375 * * [simplify]: Extracting #6: cost 14 inf + 124 22.375 * * [simplify]: Extracting #7: cost 10 inf + 248 22.375 * * [simplify]: Extracting #8: cost 8 inf + 532 22.375 * * [simplify]: Extracting #9: cost 4 inf + 1260 22.376 * * [simplify]: Extracting #10: cost 0 inf + 2268 22.376 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.376 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.376 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 22.377 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.377 * * [simplify]: iters left: 6 (8 enodes) 22.380 * * [simplify]: iters left: 5 (27 enodes) 22.384 * * [simplify]: iters left: 4 (30 enodes) 22.388 * * [simplify]: Extracting #0: cost 1 inf + 0 22.388 * * [simplify]: Extracting #1: cost 3 inf + 0 22.388 * * [simplify]: Extracting #2: cost 7 inf + 0 22.388 * * [simplify]: Extracting #3: cost 9 inf + 1 22.388 * * [simplify]: Extracting #4: cost 10 inf + 83 22.388 * * [simplify]: Extracting #5: cost 12 inf + 124 22.388 * * [simplify]: Extracting #6: cost 9 inf + 207 22.388 * * [simplify]: Extracting #7: cost 5 inf + 654 22.388 * * [simplify]: Extracting #8: cost 1 inf + 1462 22.389 * * [simplify]: Extracting #9: cost 0 inf + 1704 22.389 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.389 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.389 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 22.389 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 22.389 * * [simplify]: iters left: 6 (10 enodes) 22.391 * * [simplify]: iters left: 5 (33 enodes) 22.396 * * [simplify]: iters left: 4 (36 enodes) 22.405 * * [simplify]: Extracting #0: cost 1 inf + 0 22.405 * * [simplify]: Extracting #1: cost 3 inf + 0 22.406 * * [simplify]: Extracting #2: cost 7 inf + 0 22.406 * * [simplify]: Extracting #3: cost 12 inf + 0 22.406 * * [simplify]: Extracting #4: cost 13 inf + 1 22.406 * * [simplify]: Extracting #5: cost 14 inf + 83 22.406 * * [simplify]: Extracting #6: cost 14 inf + 286 22.406 * * [simplify]: Extracting #7: cost 11 inf + 369 22.407 * * [simplify]: Extracting #8: cost 7 inf + 816 22.407 * * [simplify]: Extracting #9: cost 0 inf + 2590 22.408 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 22.408 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 22.408 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 22.409 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 22.409 * * [simplify]: iters left: 6 (10 enodes) 22.413 * * [simplify]: iters left: 5 (33 enodes) 22.422 * * [simplify]: iters left: 4 (36 enodes) 22.432 * * [simplify]: Extracting #0: cost 1 inf + 0 22.432 * * [simplify]: Extracting #1: cost 3 inf + 0 22.432 * * [simplify]: Extracting #2: cost 7 inf + 0 22.432 * * [simplify]: Extracting #3: cost 12 inf + 0 22.432 * * [simplify]: Extracting #4: cost 13 inf + 1 22.432 * * [simplify]: Extracting #5: cost 14 inf + 83 22.432 * * [simplify]: Extracting #6: cost 14 inf + 286 22.432 * * [simplify]: Extracting #7: cost 11 inf + 369 22.433 * * [simplify]: Extracting #8: cost 7 inf + 816 22.433 * * [simplify]: Extracting #9: cost 0 inf + 2590 22.434 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 22.434 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 22.434 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 22.435 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.435 * * [simplify]: iters left: 6 (8 enodes) 22.438 * * [simplify]: iters left: 5 (27 enodes) 22.446 * * [simplify]: iters left: 4 (30 enodes) 22.454 * * [simplify]: Extracting #0: cost 1 inf + 0 22.454 * * [simplify]: Extracting #1: cost 3 inf + 0 22.454 * * [simplify]: Extracting #2: cost 7 inf + 0 22.454 * * [simplify]: Extracting #3: cost 9 inf + 1 22.454 * * [simplify]: Extracting #4: cost 10 inf + 83 22.454 * * [simplify]: Extracting #5: cost 12 inf + 124 22.454 * * [simplify]: Extracting #6: cost 9 inf + 207 22.454 * * [simplify]: Extracting #7: cost 5 inf + 654 22.455 * * [simplify]: Extracting #8: cost 1 inf + 1462 22.455 * * [simplify]: Extracting #9: cost 0 inf + 1704 22.456 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.456 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.456 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 22.457 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.457 * * [simplify]: iters left: 6 (9 enodes) 22.461 * * [simplify]: iters left: 5 (30 enodes) 22.469 * * [simplify]: iters left: 4 (33 enodes) 22.478 * * [simplify]: Extracting #0: cost 1 inf + 0 22.478 * * [simplify]: Extracting #1: cost 3 inf + 0 22.478 * * [simplify]: Extracting #2: cost 5 inf + 0 22.478 * * [simplify]: Extracting #3: cost 9 inf + 0 22.478 * * [simplify]: Extracting #4: cost 11 inf + 1 22.478 * * [simplify]: Extracting #5: cost 12 inf + 83 22.478 * * [simplify]: Extracting #6: cost 14 inf + 124 22.478 * * [simplify]: Extracting #7: cost 10 inf + 248 22.479 * * [simplify]: Extracting #8: cost 8 inf + 532 22.479 * * [simplify]: Extracting #9: cost 4 inf + 1260 22.480 * * [simplify]: Extracting #10: cost 0 inf + 2268 22.480 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 22.480 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 22.480 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 22.480 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.480 * * [simplify]: iters left: 6 (8 enodes) 22.482 * * [simplify]: iters left: 5 (27 enodes) 22.486 * * [simplify]: iters left: 4 (30 enodes) 22.489 * * [simplify]: Extracting #0: cost 1 inf + 0 22.489 * * [simplify]: Extracting #1: cost 3 inf + 0 22.489 * * [simplify]: Extracting #2: cost 7 inf + 0 22.489 * * [simplify]: Extracting #3: cost 9 inf + 1 22.489 * * [simplify]: Extracting #4: cost 10 inf + 83 22.489 * * [simplify]: Extracting #5: cost 12 inf + 124 22.490 * * [simplify]: Extracting #6: cost 9 inf + 207 22.490 * * [simplify]: Extracting #7: cost 5 inf + 654 22.490 * * [simplify]: Extracting #8: cost 1 inf + 1462 22.490 * * [simplify]: Extracting #9: cost 0 inf + 1704 22.491 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 22.491 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.491 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 22.491 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 22.491 * * [simplify]: iters left: 6 (7 enodes) 22.493 * * [simplify]: iters left: 5 (24 enodes) 22.498 * * [simplify]: iters left: 4 (28 enodes) 22.502 * * [simplify]: Extracting #0: cost 1 inf + 0 22.502 * * [simplify]: Extracting #1: cost 3 inf + 0 22.502 * * [simplify]: Extracting #2: cost 5 inf + 0 22.502 * * [simplify]: Extracting #3: cost 7 inf + 0 22.502 * * [simplify]: Extracting #4: cost 12 inf + 0 22.502 * * [simplify]: Extracting #5: cost 12 inf + 2 22.503 * * [simplify]: Extracting #6: cost 6 inf + 332 22.503 * * [simplify]: Extracting #7: cost 3 inf + 778 22.503 * * [simplify]: Extracting #8: cost 1 inf + 1222 22.503 * * [simplify]: Extracting #9: cost 0 inf + 1464 22.503 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 22.504 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))))) 22.504 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 22.504 * [simplify]: Simplifying (sqrt 2.0) 22.504 * * [simplify]: iters left: 1 (2 enodes) 22.505 * * [simplify]: Extracting #0: cost 1 inf + 0 22.505 * * [simplify]: Extracting #1: cost 3 inf + 0 22.505 * * [simplify]: Extracting #2: cost 2 inf + 1 22.505 * * [simplify]: Extracting #3: cost 0 inf + 83 22.505 * [simplify]: Simplified to (sqrt 2.0) 22.505 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))))) 22.505 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 22.505 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 22.505 * * [simplify]: iters left: 6 (6 enodes) 22.507 * * [simplify]: iters left: 5 (21 enodes) 22.510 * * [simplify]: iters left: 4 (25 enodes) 22.516 * * [simplify]: Extracting #0: cost 1 inf + 0 22.516 * * [simplify]: Extracting #1: cost 3 inf + 0 22.516 * * [simplify]: Extracting #2: cost 5 inf + 0 22.516 * * [simplify]: Extracting #3: cost 10 inf + 0 22.516 * * [simplify]: Extracting #4: cost 10 inf + 2 22.516 * * [simplify]: Extracting #5: cost 1 inf + 738 22.517 * * [simplify]: Extracting #6: cost 0 inf + 900 22.517 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 22.517 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 22.517 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 22.517 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 22.518 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 22.518 * * [simplify]: iters left: 6 (11 enodes) 22.523 * * [simplify]: iters left: 5 (39 enodes) 22.534 * * [simplify]: iters left: 4 (63 enodes) 22.554 * * [simplify]: iters left: 3 (86 enodes) 22.578 * * [simplify]: iters left: 2 (104 enodes) 22.604 * * [simplify]: Extracting #0: cost 1 inf + 0 22.605 * * [simplify]: Extracting #1: cost 3 inf + 0 22.605 * * [simplify]: Extracting #2: cost 14 inf + 0 22.605 * * [simplify]: Extracting #3: cost 30 inf + 0 22.605 * * [simplify]: Extracting #4: cost 29 inf + 125 22.605 * * [simplify]: Extracting #5: cost 20 inf + 978 22.607 * * [simplify]: Extracting #6: cost 8 inf + 3642 22.609 * * [simplify]: Extracting #7: cost 0 inf + 5818 22.612 * [simplify]: Simplified to (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) 22.612 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)))))) 22.612 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 22.613 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 22.613 * * [simplify]: iters left: 6 (8 enodes) 22.616 * * [simplify]: iters left: 5 (26 enodes) 22.623 * * [simplify]: Extracting #0: cost 1 inf + 0 22.623 * * [simplify]: Extracting #1: cost 3 inf + 0 22.623 * * [simplify]: Extracting #2: cost 6 inf + 0 22.623 * * [simplify]: Extracting #3: cost 7 inf + 1 22.625 * * [simplify]: Extracting #4: cost 10 inf + 1 22.625 * * [simplify]: Extracting #5: cost 12 inf + 42 22.625 * * [simplify]: Extracting #6: cost 9 inf + 125 22.626 * * [simplify]: Extracting #7: cost 5 inf + 572 22.626 * * [simplify]: Extracting #8: cost 1 inf + 1380 22.627 * * [simplify]: Extracting #9: cost 0 inf + 1622 22.627 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 22.627 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 22.628 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 22.628 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 22.628 * [simplify]: Simplifying im 22.628 * * [simplify]: iters left: 0 (1 enodes) 22.629 * * [simplify]: Extracting #0: cost 1 inf + 0 22.629 * * [simplify]: Extracting #1: cost 0 inf + 1 22.629 * [simplify]: Simplified to im 22.629 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 22.629 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 22.629 * [simplify]: Simplifying re 22.629 * * [simplify]: iters left: 0 (1 enodes) 22.629 * * [simplify]: Extracting #0: cost 1 inf + 0 22.630 * * [simplify]: Extracting #1: cost 0 inf + 1 22.630 * [simplify]: Simplified to re 22.630 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- re re))))) 22.630 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 22.630 * [simplify]: Simplifying (* -1 re) 22.630 * * [simplify]: iters left: 2 (3 enodes) 22.632 * * [simplify]: iters left: 1 (11 enodes) 22.635 * * [simplify]: Extracting #0: cost 1 inf + 0 22.635 * * [simplify]: Extracting #1: cost 4 inf + 0 22.635 * * [simplify]: Extracting #2: cost 0 inf + 84 22.635 * [simplify]: Simplified to (- re) 22.636 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (- re) re))))) 22.636 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 22.636 * [simplify]: Simplifying (* (sqrt 2.0) im) 22.636 * * [simplify]: iters left: 3 (4 enodes) 22.638 * * [simplify]: iters left: 2 (13 enodes) 22.643 * * [simplify]: Extracting #0: cost 1 inf + 0 22.643 * * [simplify]: Extracting #1: cost 4 inf + 0 22.643 * * [simplify]: Extracting #2: cost 5 inf + 1 22.643 * * [simplify]: Extracting #3: cost 4 inf + 2 22.643 * * [simplify]: Extracting #4: cost 0 inf + 248 22.643 * [simplify]: Simplified to (* im (sqrt 2.0)) 22.643 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.643 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 22.644 * [simplify]: Simplifying (* (sqrt 2.0) im) 22.644 * * [simplify]: iters left: 3 (4 enodes) 22.647 * * [simplify]: iters left: 2 (13 enodes) 22.651 * * [simplify]: Extracting #0: cost 1 inf + 0 22.651 * * [simplify]: Extracting #1: cost 4 inf + 0 22.651 * * [simplify]: Extracting #2: cost 5 inf + 1 22.651 * * [simplify]: Extracting #3: cost 4 inf + 2 22.651 * * [simplify]: Extracting #4: cost 0 inf + 248 22.651 * [simplify]: Simplified to (* im (sqrt 2.0)) 22.651 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.651 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 22.652 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 22.652 * * [simplify]: iters left: 5 (6 enodes) 22.656 * * [simplify]: iters left: 4 (23 enodes) 22.664 * * [simplify]: iters left: 3 (36 enodes) 22.674 * * [simplify]: iters left: 2 (41 enodes) 22.684 * * [simplify]: Extracting #0: cost 1 inf + 0 22.684 * * [simplify]: Extracting #1: cost 8 inf + 0 22.685 * * [simplify]: Extracting #2: cost 10 inf + 43 22.685 * * [simplify]: Extracting #3: cost 8 inf + 85 22.685 * * [simplify]: Extracting #4: cost 2 inf + 534 22.685 * * [simplify]: Extracting #5: cost 0 inf + 737 22.686 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 22.686 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.686 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 22.686 * [simplify]: Simplifying (- im re) 22.686 * * [simplify]: iters left: 2 (3 enodes) 22.688 * * [simplify]: iters left: 1 (11 enodes) 22.691 * * [simplify]: Extracting #0: cost 1 inf + 0 22.691 * * [simplify]: Extracting #1: cost 5 inf + 0 22.691 * * [simplify]: Extracting #2: cost 3 inf + 43 22.691 * * [simplify]: Extracting #3: cost 0 inf + 168 22.691 * [simplify]: Simplified to (- im re) 22.691 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 22.691 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 22.692 * [simplify]: Simplifying 0 22.692 * * [simplify]: iters left: 0 (1 enodes) 22.693 * * [simplify]: Extracting #0: cost 1 inf + 0 22.693 * * [simplify]: Extracting #1: cost 0 inf + 1 22.693 * [simplify]: Simplified to 0 22.693 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 22.693 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 22.693 * [simplify]: Simplifying (* -2 re) 22.693 * * [simplify]: iters left: 2 (3 enodes) 22.695 * * [simplify]: iters left: 1 (10 enodes) 22.698 * * [simplify]: Extracting #0: cost 1 inf + 0 22.698 * * [simplify]: Extracting #1: cost 4 inf + 0 22.698 * * [simplify]: Extracting #2: cost 2 inf + 2 22.698 * * [simplify]: Extracting #3: cost 0 inf + 86 22.698 * [simplify]: Simplified to (* -2 re) 22.698 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))))) 22.698 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 22.699 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 22.699 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.699 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 22.699 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 22.699 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.699 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 22.700 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 22.700 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.700 * * * [progress]: adding candidates to table 24.163 * [progress]: [Phase 3 of 3] Extracting. 24.163 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.167 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 24.167 * * * * [regimes]: Trying to branch on im from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.316 * * * * [regimes]: Trying to branch on (* im im) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.415 * * * * [regimes]: Trying to branch on (* im im) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # #) 24.481 * * * * [regimes]: Trying to branch on re from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.599 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.705 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # #) 24.777 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 24.891 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# #) 24.939 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 25.043 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# #) 25.078 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> # # # # # # # # #) 25.192 * * * [regime]: Found split indices: #