0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.065 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.066 * * [simplify]: iters left: 6 (12 enodes) 0.069 * * [simplify]: iters left: 5 (46 enodes) 0.076 * * [simplify]: iters left: 4 (56 enodes) 0.083 * * [simplify]: Extracting #0: cost 1 inf + 0 0.083 * * [simplify]: Extracting #1: cost 4 inf + 0 0.083 * * [simplify]: Extracting #2: cost 5 inf + 1 0.083 * * [simplify]: Extracting #3: cost 10 inf + 1 0.083 * * [simplify]: Extracting #4: cost 14 inf + 2 0.083 * * [simplify]: Extracting #5: cost 13 inf + 87 0.083 * * [simplify]: Extracting #6: cost 16 inf + 87 0.083 * * [simplify]: Extracting #7: cost 18 inf + 128 0.083 * * [simplify]: Extracting #8: cost 15 inf + 211 0.084 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.084 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.085 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.086 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.086 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.209 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.243 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.243 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.244 * [taylor]: Taking taylor expansion of re in im 0.244 * [backup-simplify]: Simplify re into re 0.244 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.244 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.244 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.244 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.245 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.245 * [taylor]: Taking taylor expansion of im in re 0.245 * [backup-simplify]: Simplify im into im 0.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.245 * [taylor]: Taking taylor expansion of re in re 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.245 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.246 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.246 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.247 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.250 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.250 * [taylor]: Taking taylor expansion of 1/2 in im 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of im in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.254 * [taylor]: Taking taylor expansion of 0 in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.255 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.255 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.255 * [taylor]: Taking taylor expansion of re in im 0.255 * [backup-simplify]: Simplify re into re 0.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (+ 0 1) into 1 0.258 * [backup-simplify]: Simplify (sqrt 1) into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.261 * [taylor]: Taking taylor expansion of im in re 0.261 * [backup-simplify]: Simplify im into im 0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (sqrt 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.269 * [taylor]: Taking taylor expansion of 1 in im 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of 1/2 in im 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.277 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.277 * [taylor]: Taking taylor expansion of re in im 0.277 * [backup-simplify]: Simplify re into re 0.277 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [backup-simplify]: Simplify im into im 0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.288 * [taylor]: Taking taylor expansion of 1 in im 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.290 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of 1/2 in im 0.290 * [backup-simplify]: Simplify 1/2 into 1/2 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.295 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.295 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.295 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.295 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.295 * [taylor]: Taking taylor expansion of re in im 0.295 * [backup-simplify]: Simplify re into re 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.295 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.295 * [taylor]: Taking taylor expansion of re in im 0.295 * [backup-simplify]: Simplify re into re 0.295 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.295 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.295 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.295 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.296 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.296 * [taylor]: Taking taylor expansion of im in re 0.296 * [backup-simplify]: Simplify im into im 0.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.296 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.296 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.296 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [backup-simplify]: Simplify im into im 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.297 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.297 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 im) into im 0.297 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in im 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.299 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.299 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.299 * [taylor]: Taking taylor expansion of 1/2 in im 0.299 * [backup-simplify]: Simplify 1/2 into 1/2 0.299 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.304 * [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))))) 0.304 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.304 * [taylor]: Taking taylor expansion of re in im 0.304 * [backup-simplify]: Simplify re into re 0.304 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.304 * [taylor]: Taking taylor expansion of re in im 0.304 * [backup-simplify]: Simplify re into re 0.304 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ 0 1) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.307 * [taylor]: Taking taylor expansion of re in re 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.307 * [taylor]: Taking taylor expansion of re in re 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [backup-simplify]: Simplify im into im 0.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [backup-simplify]: Simplify (sqrt 1) into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.310 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [backup-simplify]: Simplify im into im 0.311 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (sqrt 1) into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.313 * [backup-simplify]: Simplify (+ 1 1) into 2 0.313 * [taylor]: Taking taylor expansion of 2 in im 0.313 * [backup-simplify]: Simplify 2 into 2 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in im 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 2 into 2 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.317 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.317 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.317 * [taylor]: Taking taylor expansion of 1/2 in im 0.317 * [backup-simplify]: Simplify 1/2 into 1/2 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.328 * [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)) 0.328 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [backup-simplify]: Simplify re into re 0.328 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ 0 1) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.332 * [taylor]: Taking taylor expansion of re in im 0.332 * [backup-simplify]: Simplify re into re 0.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.332 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.333 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.333 * [taylor]: Taking taylor expansion of im in re 0.333 * [backup-simplify]: Simplify im into im 0.333 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [backup-simplify]: Simplify im into im 0.338 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [backup-simplify]: Simplify 0 into 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.349 * [taylor]: Taking taylor expansion of 1/2 in im 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.360 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.360 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.360 * [taylor]: Taking taylor expansion of im in im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.360 * [taylor]: Taking taylor expansion of re in im 0.360 * [backup-simplify]: Simplify re into re 0.360 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [backup-simplify]: Simplify im into im 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [backup-simplify]: Simplify im into im 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.360 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.360 * [taylor]: Taking taylor expansion of im in im 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (+ 0 1) into 1 0.362 * [taylor]: Taking taylor expansion of 1 in im 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.368 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.368 * [taylor]: Taking taylor expansion of re in im 0.368 * [backup-simplify]: Simplify re into re 0.368 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.371 * [taylor]: Taking taylor expansion of im in re 0.371 * [backup-simplify]: Simplify im into im 0.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [taylor]: Taking taylor expansion of 1 in im 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.376 * [taylor]: Taking taylor expansion of im in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in im 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.384 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.384 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.384 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [backup-simplify]: Simplify re into re 0.385 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.385 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [backup-simplify]: Simplify im into im 0.386 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.386 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.387 * [taylor]: Taking taylor expansion of im in re 0.387 * [backup-simplify]: Simplify im into im 0.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [taylor]: Taking taylor expansion of 1 in im 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in im 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.398 * [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)))))) 0.398 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.398 * [taylor]: Taking taylor expansion of 2.0 in im 0.398 * [backup-simplify]: Simplify 2.0 into 2.0 0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.399 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.399 * [taylor]: Taking taylor expansion of re in im 0.399 * [backup-simplify]: Simplify re into re 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.399 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.399 * [taylor]: Taking taylor expansion of re in im 0.399 * [backup-simplify]: Simplify re into re 0.399 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.399 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.399 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.399 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.400 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.400 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.400 * [taylor]: Taking taylor expansion of 2.0 in re 0.400 * [backup-simplify]: Simplify 2.0 into 2.0 0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.401 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.401 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [backup-simplify]: Simplify im into im 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.401 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.401 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.401 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 im) into im 0.402 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.402 * [taylor]: Taking taylor expansion of 2.0 in re 0.402 * [backup-simplify]: Simplify 2.0 into 2.0 0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.403 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.403 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [backup-simplify]: Simplify im into im 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 (* im im) into (pow im 2) 0.403 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.403 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 im) into im 0.404 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.404 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.405 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.407 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.408 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.408 * [taylor]: Taking taylor expansion of 1/2 in im 0.408 * [backup-simplify]: Simplify 1/2 into 1/2 0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.408 * [taylor]: Taking taylor expansion of 2.0 in im 0.408 * [backup-simplify]: Simplify 2.0 into 2.0 0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.408 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 0) into 0 0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.411 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.411 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.414 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.415 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.417 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.418 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.419 * [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)))) 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.420 * [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))))) 0.420 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.420 * [taylor]: Taking taylor expansion of 1/8 in im 0.420 * [backup-simplify]: Simplify 1/8 into 1/8 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.420 * [taylor]: Taking taylor expansion of 2.0 in im 0.420 * [backup-simplify]: Simplify 2.0 into 2.0 0.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.421 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (sqrt 0) into 0 0.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.429 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.430 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.437 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [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))))))) 0.442 * [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))))))) 0.442 * [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 0.442 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.442 * [taylor]: Taking taylor expansion of 2.0 in im 0.442 * [backup-simplify]: Simplify 2.0 into 2.0 0.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.443 * [taylor]: Taking taylor expansion of re in im 0.443 * [backup-simplify]: Simplify re into re 0.443 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.443 * [taylor]: Taking taylor expansion of re in im 0.443 * [backup-simplify]: Simplify re into re 0.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.443 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 0) into 0 0.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.447 * [taylor]: Taking taylor expansion of 2.0 in re 0.447 * [backup-simplify]: Simplify 2.0 into 2.0 0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.448 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [backup-simplify]: Simplify im into im 0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (sqrt 1) into 1 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [backup-simplify]: Simplify (+ 1 1) into 2 0.452 * [backup-simplify]: Simplify (sqrt 0) into 0 0.452 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.452 * [taylor]: Taking taylor expansion of 2.0 in re 0.452 * [backup-simplify]: Simplify 2.0 into 2.0 0.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.454 * [taylor]: Taking taylor expansion of re in re 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [backup-simplify]: Simplify im into im 0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [backup-simplify]: Simplify (+ 1 1) into 2 0.457 * [backup-simplify]: Simplify (sqrt 0) into 0 0.458 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.458 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.460 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.460 * [taylor]: Taking taylor expansion of +nan.0 in im 0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.460 * [taylor]: Taking taylor expansion of 2.0 in im 0.460 * [backup-simplify]: Simplify 2.0 into 2.0 0.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.465 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.465 * [taylor]: Taking taylor expansion of +nan.0 in im 0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.465 * [taylor]: Taking taylor expansion of 2.0 in im 0.465 * [backup-simplify]: Simplify 2.0 into 2.0 0.466 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.467 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.468 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.468 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.471 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.472 * [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)) 0.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.474 * [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)))))) 0.474 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.474 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.474 * [taylor]: Taking taylor expansion of +nan.0 in im 0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.474 * [taylor]: Taking taylor expansion of 2.0 in im 0.474 * [backup-simplify]: Simplify 2.0 into 2.0 0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.475 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.475 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.475 * [taylor]: Taking taylor expansion of +nan.0 in im 0.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.475 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.475 * [taylor]: Taking taylor expansion of 2.0 in im 0.475 * [backup-simplify]: Simplify 2.0 into 2.0 0.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.481 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.482 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [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))) 0.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.490 * [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)))))) 0.490 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.490 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.490 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.490 * [taylor]: Taking taylor expansion of +nan.0 in im 0.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.491 * [taylor]: Taking taylor expansion of 2.0 in im 0.491 * [backup-simplify]: Simplify 2.0 into 2.0 0.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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) (pow im 2)) in im 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 0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.512 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.514 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.518 * [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)))))))) 0.518 * [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)))) 0.518 * [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 0.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 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 (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.520 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [backup-simplify]: Simplify re into re 0.520 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.520 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (+ 0 1) into 1 0.521 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.524 * [backup-simplify]: Simplify re into re 0.524 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (sqrt 0) into 0 0.526 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.526 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.526 * [taylor]: Taking taylor expansion of 2.0 in re 0.526 * [backup-simplify]: Simplify 2.0 into 2.0 0.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.527 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [backup-simplify]: Simplify im into im 0.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.532 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.539 * [backup-simplify]: Simplify (sqrt 0) into 0 0.539 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.539 * [taylor]: Taking taylor expansion of 2.0 in re 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.540 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.542 * [taylor]: Taking taylor expansion of im in re 0.542 * [backup-simplify]: Simplify im into im 0.542 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.542 * [backup-simplify]: Simplify (+ 1 0) into 1 0.542 * [backup-simplify]: Simplify (sqrt 1) into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.546 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.551 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.553 * [backup-simplify]: Simplify (sqrt 0) into 0 0.554 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.554 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.556 * [taylor]: Taking taylor expansion of +nan.0 in im 0.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.556 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.556 * [taylor]: Taking taylor expansion of 2.0 in im 0.556 * [backup-simplify]: Simplify 2.0 into 2.0 0.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.557 * [taylor]: Taking taylor expansion of im in im 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.565 * [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)))) 0.565 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.565 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.565 * [taylor]: Taking taylor expansion of +nan.0 in im 0.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.565 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.565 * [taylor]: Taking taylor expansion of 2.0 in im 0.565 * [backup-simplify]: Simplify 2.0 into 2.0 0.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.566 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.581 * [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))))) 0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.583 * [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)))))) 0.583 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.583 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.583 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.583 * [taylor]: Taking taylor expansion of +nan.0 in im 0.583 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.583 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.583 * [taylor]: Taking taylor expansion of 2.0 in im 0.583 * [backup-simplify]: Simplify 2.0 into 2.0 0.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.584 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.584 * [taylor]: Taking taylor expansion of im in im 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.585 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.585 * [taylor]: Taking taylor expansion of +nan.0 in im 0.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.585 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.585 * [taylor]: Taking taylor expansion of 2.0 in im 0.585 * [backup-simplify]: Simplify 2.0 into 2.0 0.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.586 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [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 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * * * [progress]: simplifying candidates 0.627 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.627 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.627 * * [simplify]: iters left: 6 (8 enodes) 0.630 * * [simplify]: iters left: 5 (26 enodes) 0.637 * * [simplify]: Extracting #0: cost 1 inf + 0 0.637 * * [simplify]: Extracting #1: cost 4 inf + 0 0.637 * * [simplify]: Extracting #2: cost 7 inf + 0 0.637 * * [simplify]: Extracting #3: cost 10 inf + 0 0.637 * * [simplify]: Extracting #4: cost 14 inf + 0 0.637 * * [simplify]: Extracting #5: cost 10 inf + 84 0.637 * * [simplify]: Extracting #6: cost 8 inf + 166 0.637 * * [simplify]: Extracting #7: cost 4 inf + 854 0.638 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.638 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.639 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.639 * [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))))) 0.639 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.639 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.640 * * [simplify]: iters left: 6 (7 enodes) 0.643 * * [simplify]: iters left: 5 (22 enodes) 0.649 * * [simplify]: Extracting #0: cost 1 inf + 0 0.649 * * [simplify]: Extracting #1: cost 3 inf + 0 0.649 * * [simplify]: Extracting #2: cost 5 inf + 0 0.649 * * [simplify]: Extracting #3: cost 8 inf + 0 0.649 * * [simplify]: Extracting #4: cost 12 inf + 0 0.649 * * [simplify]: Extracting #5: cost 10 inf + 2 0.649 * * [simplify]: Extracting #6: cost 1 inf + 936 0.650 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.650 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.650 * [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))))) 0.650 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.651 * [simplify]: Simplifying (sqrt 1) 0.651 * * [simplify]: iters left: 1 (2 enodes) 0.654 * * [simplify]: Extracting #0: cost 1 inf + 0 0.654 * * [simplify]: Extracting #1: cost 0 inf + 1 0.654 * [simplify]: Simplified to 1 0.654 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.654 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.654 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.654 * * [simplify]: iters left: 6 (9 enodes) 0.660 * * [simplify]: iters left: 5 (45 enodes) 0.680 * * [simplify]: iters left: 4 (100 enodes) 0.721 * * [simplify]: iters left: 3 (201 enodes) 0.778 * * [simplify]: iters left: 2 (406 enodes) 0.940 * * [simplify]: Extracting #0: cost 1 inf + 0 0.941 * * [simplify]: Extracting #1: cost 3 inf + 0 0.941 * * [simplify]: Extracting #2: cost 6 inf + 0 0.941 * * [simplify]: Extracting #3: cost 62 inf + 0 0.941 * * [simplify]: Extracting #4: cost 166 inf + 460 0.943 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.950 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.955 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.960 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.969 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.969 * [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))))) 0.969 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.970 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.970 * * [simplify]: iters left: 6 (8 enodes) 0.974 * * [simplify]: iters left: 5 (37 enodes) 0.987 * * [simplify]: iters left: 4 (67 enodes) 1.000 * * [simplify]: iters left: 3 (123 enodes) 1.024 * * [simplify]: iters left: 2 (278 enodes) 1.161 * * [simplify]: Extracting #0: cost 1 inf + 0 1.161 * * [simplify]: Extracting #1: cost 3 inf + 0 1.161 * * [simplify]: Extracting #2: cost 50 inf + 0 1.162 * * [simplify]: Extracting #3: cost 150 inf + 0 1.162 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.165 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.171 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.183 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.198 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.198 * [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))))) 1.198 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 1.199 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.199 * * [simplify]: iters left: 4 (5 enodes) 1.201 * * [simplify]: iters left: 3 (16 enodes) 1.205 * * [simplify]: Extracting #0: cost 1 inf + 0 1.206 * * [simplify]: Extracting #1: cost 4 inf + 0 1.206 * * [simplify]: Extracting #2: cost 8 inf + 0 1.206 * * [simplify]: Extracting #3: cost 4 inf + 84 1.206 * * [simplify]: Extracting #4: cost 0 inf + 410 1.206 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.206 * [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))))) 1.206 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 1.206 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 1.207 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.207 * * [simplify]: iters left: 5 (6 enodes) 1.209 * * [simplify]: iters left: 4 (19 enodes) 1.214 * * [simplify]: Extracting #0: cost 1 inf + 0 1.215 * * [simplify]: Extracting #1: cost 3 inf + 0 1.215 * * [simplify]: Extracting #2: cost 6 inf + 0 1.215 * * [simplify]: Extracting #3: cost 10 inf + 0 1.215 * * [simplify]: Extracting #4: cost 6 inf + 84 1.215 * * [simplify]: Extracting #5: cost 0 inf + 734 1.215 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.215 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.215 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 1.216 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.216 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 1.216 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.216 * * [simplify]: iters left: 6 (9 enodes) 1.220 * * [simplify]: iters left: 5 (31 enodes) 1.229 * * [simplify]: iters left: 4 (35 enodes) 1.241 * * [simplify]: Extracting #0: cost 1 inf + 0 1.241 * * [simplify]: Extracting #1: cost 5 inf + 0 1.241 * * [simplify]: Extracting #2: cost 10 inf + 0 1.241 * * [simplify]: Extracting #3: cost 11 inf + 1 1.241 * * [simplify]: Extracting #4: cost 12 inf + 143 1.241 * * [simplify]: Extracting #5: cost 14 inf + 184 1.242 * * [simplify]: Extracting #6: cost 10 inf + 308 1.242 * * [simplify]: Extracting #7: cost 7 inf + 794 1.243 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.243 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.244 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.244 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.244 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 1.244 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 1.244 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 1.245 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 1.246 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.246 * * [simplify]: iters left: 6 (7 enodes) 1.249 * * [simplify]: iters left: 5 (23 enodes) 1.252 * * [simplify]: Extracting #0: cost 1 inf + 0 1.252 * * [simplify]: Extracting #1: cost 4 inf + 0 1.252 * * [simplify]: Extracting #2: cost 5 inf + 1 1.252 * * [simplify]: Extracting #3: cost 8 inf + 1 1.252 * * [simplify]: Extracting #4: cost 10 inf + 42 1.252 * * [simplify]: Extracting #5: cost 8 inf + 84 1.252 * * [simplify]: Extracting #6: cost 1 inf + 936 1.253 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.253 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.253 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.253 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.253 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 1.253 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 1.253 * [simplify]: Simplifying (* (exp (* re re)) (exp (* im im))) 1.253 * * [simplify]: iters left: 5 (7 enodes) 1.255 * * [simplify]: iters left: 4 (28 enodes) 1.259 * * [simplify]: iters left: 3 (43 enodes) 1.265 * * [simplify]: iters left: 2 (75 enodes) 1.280 * * [simplify]: iters left: 1 (169 enodes) 1.363 * * [simplify]: Extracting #0: cost 1 inf + 0 1.363 * * [simplify]: Extracting #1: cost 28 inf + 0 1.363 * * [simplify]: Extracting #2: cost 119 inf + 0 1.364 * * [simplify]: Extracting #3: cost 136 inf + 1135 1.365 * * [simplify]: Extracting #4: cost 131 inf + 1568 1.366 * * [simplify]: Extracting #5: cost 99 inf + 8302 1.373 * * [simplify]: Extracting #6: cost 11 inf + 60490 1.387 * * [simplify]: Extracting #7: cost 0 inf + 69564 1.401 * [simplify]: Simplified to (exp (+ (* re re) (* im im))) 1.401 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (exp (+ (* re re) (* im im))))) re))))) 1.401 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 1.401 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 1.401 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 1.401 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 1.401 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 38 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 40 / 67 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 1.402 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 1.402 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 1.403 * [simplify]: Simplifying (sqrt 2.0) 1.403 * * [simplify]: iters left: 1 (2 enodes) 1.405 * * [simplify]: Extracting #0: cost 1 inf + 0 1.405 * * [simplify]: Extracting #1: cost 3 inf + 0 1.405 * * [simplify]: Extracting #2: cost 2 inf + 1 1.405 * * [simplify]: Extracting #3: cost 0 inf + 83 1.405 * [simplify]: Simplified to (sqrt 2.0) 1.405 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.405 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 1.406 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.406 * * [simplify]: iters left: 6 (13 enodes) 1.413 * * [simplify]: iters left: 5 (60 enodes) 1.437 * * [simplify]: iters left: 4 (109 enodes) 1.481 * * [simplify]: iters left: 3 (209 enodes) 1.562 * * [simplify]: iters left: 2 (444 enodes) 1.730 * * [simplify]: Extracting #0: cost 1 inf + 0 1.731 * * [simplify]: Extracting #1: cost 3 inf + 0 1.731 * * [simplify]: Extracting #2: cost 14 inf + 0 1.731 * * [simplify]: Extracting #3: cost 101 inf + 1 1.731 * * [simplify]: Extracting #4: cost 193 inf + 736 1.734 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.742 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.762 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.776 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.787 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.787 * [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))))))) 1.789 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 1.789 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.789 * * [simplify]: iters left: 6 (11 enodes) 1.792 * * [simplify]: iters left: 5 (38 enodes) 1.799 * * [simplify]: iters left: 4 (70 enodes) 1.813 * * [simplify]: iters left: 3 (163 enodes) 1.879 * * [simplify]: iters left: 2 (400 enodes) 2.141 * * [simplify]: Extracting #0: cost 1 inf + 0 2.141 * * [simplify]: Extracting #1: cost 3 inf + 0 2.141 * * [simplify]: Extracting #2: cost 60 inf + 0 2.142 * * [simplify]: Extracting #3: cost 168 inf + 44 2.144 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.150 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.163 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.176 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.199 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.199 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.199 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 2.199 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.199 * * [simplify]: iters left: 6 (9 enodes) 2.204 * * [simplify]: iters left: 5 (36 enodes) 2.219 * * [simplify]: iters left: 4 (46 enodes) 2.231 * * [simplify]: Extracting #0: cost 1 inf + 0 2.231 * * [simplify]: Extracting #1: cost 6 inf + 0 2.231 * * [simplify]: Extracting #2: cost 10 inf + 1 2.231 * * [simplify]: Extracting #3: cost 10 inf + 44 2.231 * * [simplify]: Extracting #4: cost 12 inf + 86 2.231 * * [simplify]: Extracting #5: cost 14 inf + 127 2.232 * * [simplify]: Extracting #6: cost 12 inf + 169 2.232 * * [simplify]: Extracting #7: cost 8 inf + 495 2.232 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.233 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.234 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.234 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.234 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 2.235 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.235 * * [simplify]: iters left: 6 (9 enodes) 2.240 * * [simplify]: iters left: 5 (36 enodes) 2.251 * * [simplify]: iters left: 4 (46 enodes) 2.263 * * [simplify]: Extracting #0: cost 1 inf + 0 2.263 * * [simplify]: Extracting #1: cost 6 inf + 0 2.263 * * [simplify]: Extracting #2: cost 10 inf + 1 2.263 * * [simplify]: Extracting #3: cost 10 inf + 44 2.263 * * [simplify]: Extracting #4: cost 12 inf + 86 2.263 * * [simplify]: Extracting #5: cost 14 inf + 127 2.264 * * [simplify]: Extracting #6: cost 12 inf + 169 2.264 * * [simplify]: Extracting #7: cost 8 inf + 495 2.264 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.265 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.266 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.266 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.266 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 2.266 * * * * [progress]: [ 54 / 67 ] simplifiying candidate # 2.266 * * * * [progress]: [ 55 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.267 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 2.267 * [simplify]: Simplifying im 2.267 * * [simplify]: iters left: 0 (1 enodes) 2.267 * * [simplify]: Extracting #0: cost 1 inf + 0 2.267 * * [simplify]: Extracting #1: cost 0 inf + 1 2.267 * [simplify]: Simplified to im 2.267 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.268 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 2.268 * [simplify]: Simplifying re 2.268 * * [simplify]: iters left: 0 (1 enodes) 2.268 * * [simplify]: Extracting #0: cost 1 inf + 0 2.268 * * [simplify]: Extracting #1: cost 0 inf + 1 2.268 * [simplify]: Simplified to re 2.268 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.268 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 2.269 * [simplify]: Simplifying (* -1 re) 2.269 * * [simplify]: iters left: 2 (3 enodes) 2.271 * * [simplify]: iters left: 1 (11 enodes) 2.274 * * [simplify]: Extracting #0: cost 1 inf + 0 2.274 * * [simplify]: Extracting #1: cost 4 inf + 0 2.274 * * [simplify]: Extracting #2: cost 0 inf + 84 2.274 * [simplify]: Simplified to (- re) 2.274 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.274 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 2.275 * [simplify]: Simplifying (+ re im) 2.275 * * [simplify]: iters left: 2 (3 enodes) 2.276 * * [simplify]: iters left: 1 (10 enodes) 2.278 * * [simplify]: Extracting #0: cost 1 inf + 0 2.279 * * [simplify]: Extracting #1: cost 4 inf + 0 2.279 * * [simplify]: Extracting #2: cost 2 inf + 2 2.279 * * [simplify]: Extracting #3: cost 0 inf + 86 2.279 * [simplify]: Simplified to (+ im re) 2.279 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.279 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 2.279 * [simplify]: Simplifying (* 2 re) 2.279 * * [simplify]: iters left: 2 (3 enodes) 2.281 * * [simplify]: iters left: 1 (10 enodes) 2.284 * * [simplify]: Extracting #0: cost 1 inf + 0 2.284 * * [simplify]: Extracting #1: cost 4 inf + 0 2.284 * * [simplify]: Extracting #2: cost 2 inf + 2 2.284 * * [simplify]: Extracting #3: cost 0 inf + 86 2.285 * [simplify]: Simplified to (* 2 re) 2.285 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.285 * * * * [progress]: [ 61 / 67 ] simplifiying candidate # 2.285 * [simplify]: Simplifying 0 2.285 * * [simplify]: iters left: 0 (1 enodes) 2.286 * * [simplify]: Extracting #0: cost 1 inf + 0 2.286 * * [simplify]: Extracting #1: cost 0 inf + 1 2.286 * [simplify]: Simplified to 0 2.286 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.286 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 2.286 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.286 * * [simplify]: iters left: 3 (6 enodes) 2.290 * * [simplify]: iters left: 2 (27 enodes) 2.298 * * [simplify]: iters left: 1 (31 enodes) 2.306 * * [simplify]: Extracting #0: cost 1 inf + 0 2.306 * * [simplify]: Extracting #1: cost 4 inf + 0 2.306 * * [simplify]: Extracting #2: cost 9 inf + 0 2.306 * * [simplify]: Extracting #3: cost 6 inf + 3 2.307 * * [simplify]: Extracting #4: cost 1 inf + 370 2.307 * * [simplify]: Extracting #5: cost 0 inf + 411 2.307 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.307 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.307 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 2.307 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.308 * * [simplify]: iters left: 3 (6 enodes) 2.312 * * [simplify]: iters left: 2 (27 enodes) 2.320 * * [simplify]: iters left: 1 (31 enodes) 2.329 * * [simplify]: Extracting #0: cost 1 inf + 0 2.329 * * [simplify]: Extracting #1: cost 4 inf + 0 2.329 * * [simplify]: Extracting #2: cost 9 inf + 0 2.329 * * [simplify]: Extracting #3: cost 6 inf + 3 2.329 * * [simplify]: Extracting #4: cost 1 inf + 370 2.329 * * [simplify]: Extracting #5: cost 0 inf + 411 2.330 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.330 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.330 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 2.330 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.330 * * [simplify]: iters left: 3 (6 enodes) 2.334 * * [simplify]: iters left: 2 (27 enodes) 2.343 * * [simplify]: iters left: 1 (31 enodes) 2.351 * * [simplify]: Extracting #0: cost 1 inf + 0 2.351 * * [simplify]: Extracting #1: cost 4 inf + 0 2.351 * * [simplify]: Extracting #2: cost 9 inf + 0 2.351 * * [simplify]: Extracting #3: cost 6 inf + 3 2.351 * * [simplify]: Extracting #4: cost 1 inf + 370 2.352 * * [simplify]: Extracting #5: cost 0 inf + 411 2.352 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.352 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.352 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 2.352 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.352 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.353 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 2.353 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.353 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.353 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 2.353 * [simplify]: Simplifying 0 2.353 * * [simplify]: iters left: 0 (1 enodes) 2.354 * * [simplify]: Extracting #0: cost 1 inf + 0 2.354 * * [simplify]: Extracting #1: cost 0 inf + 1 2.354 * [simplify]: Simplified to 0 2.355 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.355 * * * [progress]: adding candidates to table 3.101 * * [progress]: iteration 2 / 4 3.101 * * * [progress]: picking best candidate 3.124 * * * * [pick]: Picked # 3.124 * * * [progress]: localizing error 3.159 * * * [progress]: generating rewritten candidates 3.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.253 * * * [progress]: generating series expansions 3.253 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.253 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.253 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.253 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.253 * [taylor]: Taking taylor expansion of im in im 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.253 * [taylor]: Taking taylor expansion of re in im 3.253 * [backup-simplify]: Simplify re into re 3.253 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.253 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.253 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.253 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.254 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.254 * [taylor]: Taking taylor expansion of im in re 3.254 * [backup-simplify]: Simplify im into im 3.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.254 * [taylor]: Taking taylor expansion of re in re 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.254 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.254 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.255 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.255 * [taylor]: Taking taylor expansion of im in re 3.255 * [backup-simplify]: Simplify im into im 3.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.255 * [taylor]: Taking taylor expansion of re in re 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.255 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.255 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.255 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.256 * [taylor]: Taking taylor expansion of im in im 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [taylor]: Taking taylor expansion of 0 in im 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.256 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (+ 0 1) into 1 3.257 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.257 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.259 * [taylor]: Taking taylor expansion of 0 in im 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.260 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.260 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.260 * [taylor]: Taking taylor expansion of re in im 3.260 * [backup-simplify]: Simplify re into re 3.260 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.261 * [taylor]: Taking taylor expansion of im in im 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (+ 0 1) into 1 3.262 * [backup-simplify]: Simplify (sqrt 1) into 1 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.263 * [taylor]: Taking taylor expansion of re in re 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.264 * [taylor]: Taking taylor expansion of im in re 3.264 * [backup-simplify]: Simplify im into im 3.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.264 * [backup-simplify]: Simplify (+ 1 0) into 1 3.265 * [backup-simplify]: Simplify (sqrt 1) into 1 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.267 * [taylor]: Taking taylor expansion of re in re 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (* 1 1) into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.268 * [taylor]: Taking taylor expansion of im in re 3.268 * [backup-simplify]: Simplify im into im 3.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.269 * [backup-simplify]: Simplify (+ 1 0) into 1 3.269 * [backup-simplify]: Simplify (sqrt 1) into 1 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ 0 0) into 0 3.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.272 * [taylor]: Taking taylor expansion of 1 in im 3.272 * [backup-simplify]: Simplify 1 into 1 3.272 * [taylor]: Taking taylor expansion of 0 in im 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.275 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.275 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.275 * [taylor]: Taking taylor expansion of 1/2 in im 3.275 * [backup-simplify]: Simplify 1/2 into 1/2 3.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.275 * [taylor]: Taking taylor expansion of im in im 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (* 1 1) into 1 3.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.281 * [taylor]: Taking taylor expansion of 0 in im 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.284 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.284 * [taylor]: Taking taylor expansion of re in im 3.284 * [backup-simplify]: Simplify re into re 3.284 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.284 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.284 * [taylor]: Taking taylor expansion of im in im 3.284 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [backup-simplify]: Simplify (+ 0 1) into 1 3.286 * [backup-simplify]: Simplify (sqrt 1) into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.289 * [taylor]: Taking taylor expansion of re in re 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.290 * [taylor]: Taking taylor expansion of im in re 3.290 * [backup-simplify]: Simplify im into im 3.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.290 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.291 * [backup-simplify]: Simplify (+ 1 0) into 1 3.291 * [backup-simplify]: Simplify (sqrt 1) into 1 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.294 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.294 * [taylor]: Taking taylor expansion of re in re 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (/ 1 1) into 1 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.296 * [backup-simplify]: Simplify (+ 1 0) into 1 3.296 * [backup-simplify]: Simplify (sqrt 1) into 1 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.299 * [taylor]: Taking taylor expansion of 1 in im 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [taylor]: Taking taylor expansion of 0 in im 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.303 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.303 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.303 * [taylor]: Taking taylor expansion of 1/2 in im 3.303 * [backup-simplify]: Simplify 1/2 into 1/2 3.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.303 * [taylor]: Taking taylor expansion of im in im 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.309 * [taylor]: Taking taylor expansion of 0 in im 3.309 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.312 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.312 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.312 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.312 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.312 * [taylor]: Taking taylor expansion of im in im 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.312 * [taylor]: Taking taylor expansion of re in im 3.312 * [backup-simplify]: Simplify re into re 3.312 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.312 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.312 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.312 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.313 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.313 * [taylor]: Taking taylor expansion of im in re 3.313 * [backup-simplify]: Simplify im into im 3.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.313 * [taylor]: Taking taylor expansion of re in re 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.313 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.314 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.314 * [taylor]: Taking taylor expansion of im in re 3.314 * [backup-simplify]: Simplify im into im 3.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.314 * [taylor]: Taking taylor expansion of re in re 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.315 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.315 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.315 * [taylor]: Taking taylor expansion of im in im 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify 0 into 0 3.316 * [taylor]: Taking taylor expansion of 0 in im 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (+ 0 1) into 1 3.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.318 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.318 * [taylor]: Taking taylor expansion of 1/2 in im 3.318 * [backup-simplify]: Simplify 1/2 into 1/2 3.318 * [taylor]: Taking taylor expansion of im in im 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.326 * [taylor]: Taking taylor expansion of 0 in im 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.329 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.329 * [taylor]: Taking taylor expansion of re in im 3.329 * [backup-simplify]: Simplify re into re 3.329 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.329 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.329 * [taylor]: Taking taylor expansion of im in im 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [backup-simplify]: Simplify (+ 0 1) into 1 3.331 * [backup-simplify]: Simplify (sqrt 1) into 1 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.334 * [taylor]: Taking taylor expansion of re in re 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (/ 1 1) into 1 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.335 * [taylor]: Taking taylor expansion of im in re 3.335 * [backup-simplify]: Simplify im into im 3.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.335 * [backup-simplify]: Simplify (+ 1 0) into 1 3.336 * [backup-simplify]: Simplify (sqrt 1) into 1 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.338 * [taylor]: Taking taylor expansion of re in re 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.339 * [taylor]: Taking taylor expansion of im in re 3.339 * [backup-simplify]: Simplify im into im 3.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.340 * [backup-simplify]: Simplify (+ 1 0) into 1 3.340 * [backup-simplify]: Simplify (sqrt 1) into 1 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.343 * [taylor]: Taking taylor expansion of 1 in im 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [taylor]: Taking taylor expansion of 0 in im 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.347 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.347 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.347 * [taylor]: Taking taylor expansion of 1/2 in im 3.347 * [backup-simplify]: Simplify 1/2 into 1/2 3.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.347 * [taylor]: Taking taylor expansion of im in im 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (* 1 1) into 1 3.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.351 * [taylor]: Taking taylor expansion of 0 in im 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.353 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.353 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.353 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.353 * [taylor]: Taking taylor expansion of re in im 3.353 * [backup-simplify]: Simplify re into re 3.353 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.353 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.353 * [taylor]: Taking taylor expansion of im in im 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (+ 0 1) into 1 3.354 * [backup-simplify]: Simplify (sqrt 1) into 1 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.356 * [taylor]: Taking taylor expansion of re in re 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.356 * [taylor]: Taking taylor expansion of im in re 3.356 * [backup-simplify]: Simplify im into im 3.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.357 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (sqrt 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.359 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.359 * [taylor]: Taking taylor expansion of re in re 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [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) 3.359 * [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 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.361 * [taylor]: Taking taylor expansion of 1 in im 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [taylor]: Taking taylor expansion of 0 in im 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.363 * [taylor]: Taking taylor expansion of 1/2 in im 3.364 * [backup-simplify]: Simplify 1/2 into 1/2 3.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.364 * [taylor]: Taking taylor expansion of im in im 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (* 1 1) into 1 3.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.367 * [taylor]: Taking taylor expansion of 0 in im 3.367 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.368 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.369 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 3.369 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 3.369 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.369 * [taylor]: Taking taylor expansion of re in im 3.369 * [backup-simplify]: Simplify re into re 3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.369 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.369 * [taylor]: Taking taylor expansion of im in im 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.369 * [taylor]: Taking taylor expansion of re in im 3.369 * [backup-simplify]: Simplify re into re 3.369 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.369 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.369 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.369 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.369 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.369 * [taylor]: Taking taylor expansion of re in re 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.369 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.370 * [taylor]: Taking taylor expansion of im in re 3.370 * [backup-simplify]: Simplify im into im 3.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.370 * [taylor]: Taking taylor expansion of re in re 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.370 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.370 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.370 * [taylor]: Taking taylor expansion of re in re 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.370 * [taylor]: Taking taylor expansion of im in re 3.370 * [backup-simplify]: Simplify im into im 3.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.370 * [taylor]: Taking taylor expansion of re in re 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.370 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.371 * [backup-simplify]: Simplify (+ 0 im) into im 3.371 * [taylor]: Taking taylor expansion of im in im 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ 1 0) into 1 3.371 * [taylor]: Taking taylor expansion of 1 in im 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.372 * [backup-simplify]: Simplify (+ 0 1) into 1 3.373 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.373 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.373 * [taylor]: Taking taylor expansion of 1/2 in im 3.373 * [backup-simplify]: Simplify 1/2 into 1/2 3.373 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.373 * [taylor]: Taking taylor expansion of im in im 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [taylor]: Taking taylor expansion of 0 in im 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.377 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.377 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.377 * [taylor]: Taking taylor expansion of re in im 3.377 * [backup-simplify]: Simplify re into re 3.377 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.378 * [taylor]: Taking taylor expansion of re in im 3.378 * [backup-simplify]: Simplify re into re 3.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.378 * [taylor]: Taking taylor expansion of im in im 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (* 1 1) into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [backup-simplify]: Simplify (+ 0 1) into 1 3.380 * [backup-simplify]: Simplify (sqrt 1) into 1 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.382 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.382 * [taylor]: Taking taylor expansion of re in re 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (/ 1 1) into 1 3.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.383 * [taylor]: Taking taylor expansion of re in re 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (* 1 1) into 1 3.383 * [backup-simplify]: Simplify (/ 1 1) into 1 3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.384 * [taylor]: Taking taylor expansion of im in re 3.384 * [backup-simplify]: Simplify im into im 3.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.384 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.384 * [backup-simplify]: Simplify (+ 1 0) into 1 3.385 * [backup-simplify]: Simplify (sqrt 1) into 1 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.387 * [taylor]: Taking taylor expansion of re in re 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.388 * [taylor]: Taking taylor expansion of re in re 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.389 * [taylor]: Taking taylor expansion of im in re 3.389 * [backup-simplify]: Simplify im into im 3.389 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.389 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.389 * [backup-simplify]: Simplify (+ 1 0) into 1 3.390 * [backup-simplify]: Simplify (sqrt 1) into 1 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.393 * [backup-simplify]: Simplify (+ 1 1) into 2 3.393 * [taylor]: Taking taylor expansion of 2 in im 3.393 * [backup-simplify]: Simplify 2 into 2 3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in im 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 2 into 2 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.398 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.398 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.398 * [taylor]: Taking taylor expansion of 1/2 in im 3.399 * [backup-simplify]: Simplify 1/2 into 1/2 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.399 * [taylor]: Taking taylor expansion of im in im 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (* 1 1) into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [taylor]: Taking taylor expansion of 0 in im 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.410 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.410 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.410 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.411 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.411 * [taylor]: Taking taylor expansion of re in im 3.411 * [backup-simplify]: Simplify re into re 3.411 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.411 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.411 * [taylor]: Taking taylor expansion of im in im 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.412 * [backup-simplify]: Simplify (/ 1 1) into 1 3.412 * [backup-simplify]: Simplify (+ 0 1) into 1 3.413 * [backup-simplify]: Simplify (sqrt 1) into 1 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.414 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.414 * [taylor]: Taking taylor expansion of re in im 3.414 * [backup-simplify]: Simplify re into re 3.414 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.414 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.414 * [taylor]: Taking taylor expansion of re in re 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.415 * [backup-simplify]: Simplify (/ 1 1) into 1 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.415 * [taylor]: Taking taylor expansion of im in re 3.415 * [backup-simplify]: Simplify im into im 3.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.415 * [backup-simplify]: Simplify (+ 1 0) into 1 3.416 * [backup-simplify]: Simplify (sqrt 1) into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.417 * [taylor]: Taking taylor expansion of re in re 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (/ 1 1) into 1 3.417 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.418 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.418 * [taylor]: Taking taylor expansion of re in re 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (* 1 1) into 1 3.418 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.418 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.418 * [taylor]: Taking taylor expansion of im in re 3.418 * [backup-simplify]: Simplify im into im 3.418 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.419 * [backup-simplify]: Simplify (+ 1 0) into 1 3.419 * [backup-simplify]: Simplify (sqrt 1) into 1 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.420 * [taylor]: Taking taylor expansion of re in re 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (- 1) into -1 3.421 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.421 * [taylor]: Taking taylor expansion of 0 in im 3.421 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [taylor]: Taking taylor expansion of 0 in im 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.425 * [taylor]: Taking taylor expansion of 1/2 in im 3.425 * [backup-simplify]: Simplify 1/2 into 1/2 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.425 * [taylor]: Taking taylor expansion of im in im 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.426 * [backup-simplify]: Simplify (/ 1 1) into 1 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [taylor]: Taking taylor expansion of 0 in im 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.432 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 3.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.432 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.432 * [taylor]: Taking taylor expansion of im in im 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.432 * [taylor]: Taking taylor expansion of re in im 3.432 * [backup-simplify]: Simplify re into re 3.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.432 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.432 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.432 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.433 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.433 * [taylor]: Taking taylor expansion of im in re 3.433 * [backup-simplify]: Simplify im into im 3.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.433 * [taylor]: Taking taylor expansion of re in re 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.433 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.433 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.433 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.433 * [taylor]: Taking taylor expansion of im in re 3.433 * [backup-simplify]: Simplify im into im 3.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.433 * [taylor]: Taking taylor expansion of re in re 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.433 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.434 * [taylor]: Taking taylor expansion of im in im 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [taylor]: Taking taylor expansion of 0 in im 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.435 * [backup-simplify]: Simplify (* 1 1) into 1 3.435 * [backup-simplify]: Simplify (+ 0 1) into 1 3.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.435 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.435 * [taylor]: Taking taylor expansion of 1/2 in im 3.435 * [backup-simplify]: Simplify 1/2 into 1/2 3.435 * [taylor]: Taking taylor expansion of im in im 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.437 * [backup-simplify]: Simplify (+ 0 0) into 0 3.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.438 * [taylor]: Taking taylor expansion of 0 in im 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.439 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.439 * [taylor]: Taking taylor expansion of re in im 3.439 * [backup-simplify]: Simplify re into re 3.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.439 * [taylor]: Taking taylor expansion of im in im 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (* 1 1) into 1 3.443 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [backup-simplify]: Simplify (+ 0 1) into 1 3.444 * [backup-simplify]: Simplify (sqrt 1) into 1 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.446 * [taylor]: Taking taylor expansion of re in re 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (* 1 1) into 1 3.446 * [backup-simplify]: Simplify (/ 1 1) into 1 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.446 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.446 * [taylor]: Taking taylor expansion of im in re 3.446 * [backup-simplify]: Simplify im into im 3.446 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.447 * [backup-simplify]: Simplify (+ 1 0) into 1 3.447 * [backup-simplify]: Simplify (sqrt 1) into 1 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.449 * [taylor]: Taking taylor expansion of re in re 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.449 * [taylor]: Taking taylor expansion of im in re 3.449 * [backup-simplify]: Simplify im into im 3.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.450 * [backup-simplify]: Simplify (+ 1 0) into 1 3.450 * [backup-simplify]: Simplify (sqrt 1) into 1 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.451 * [taylor]: Taking taylor expansion of 1 in im 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of 0 in im 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.453 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.453 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.453 * [taylor]: Taking taylor expansion of 1/2 in im 3.453 * [backup-simplify]: Simplify 1/2 into 1/2 3.453 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.453 * [taylor]: Taking taylor expansion of im in im 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 1 1) into 1 3.454 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.457 * [taylor]: Taking taylor expansion of 0 in im 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.460 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.460 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.460 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.460 * [taylor]: Taking taylor expansion of re in im 3.460 * [backup-simplify]: Simplify re into re 3.460 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.460 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.460 * [taylor]: Taking taylor expansion of im in im 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.462 * [backup-simplify]: Simplify (+ 0 1) into 1 3.462 * [backup-simplify]: Simplify (sqrt 1) into 1 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.465 * [taylor]: Taking taylor expansion of re in re 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.466 * [taylor]: Taking taylor expansion of im in re 3.466 * [backup-simplify]: Simplify im into im 3.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.467 * [backup-simplify]: Simplify (+ 1 0) into 1 3.467 * [backup-simplify]: Simplify (sqrt 1) into 1 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (+ 0 0) into 0 3.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.470 * [taylor]: Taking taylor expansion of re in re 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* 1 1) into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.471 * [taylor]: Taking taylor expansion of im in re 3.471 * [backup-simplify]: Simplify im into im 3.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.471 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.471 * [backup-simplify]: Simplify (+ 1 0) into 1 3.472 * [backup-simplify]: Simplify (sqrt 1) into 1 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.474 * [taylor]: Taking taylor expansion of 1 in im 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of 0 in im 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.478 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.478 * [taylor]: Taking taylor expansion of 1/2 in im 3.478 * [backup-simplify]: Simplify 1/2 into 1/2 3.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.478 * [taylor]: Taking taylor expansion of im in im 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (* 1 1) into 1 3.479 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.484 * [taylor]: Taking taylor expansion of 0 in im 3.484 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.486 * * * [progress]: simplifying candidates 3.486 * * * * [progress]: [ 1 / 140 ] simplifiying candidate # 3.486 * * * * [progress]: [ 2 / 140 ] simplifiying candidate # 3.486 * * * * [progress]: [ 3 / 140 ] simplifiying candidate # 3.486 * * * * [progress]: [ 4 / 140 ] simplifiying candidate # 3.486 * * * * [progress]: [ 5 / 140 ] simplifiying candidate # 3.487 * * * * [progress]: [ 6 / 140 ] simplifiying candidate # 3.487 * * * * [progress]: [ 7 / 140 ] simplifiying candidate # 3.487 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.487 * * [simplify]: iters left: 6 (8 enodes) 3.491 * * [simplify]: iters left: 5 (26 enodes) 3.498 * * [simplify]: Extracting #0: cost 1 inf + 0 3.498 * * [simplify]: Extracting #1: cost 4 inf + 0 3.498 * * [simplify]: Extracting #2: cost 7 inf + 0 3.498 * * [simplify]: Extracting #3: cost 10 inf + 0 3.498 * * [simplify]: Extracting #4: cost 14 inf + 0 3.498 * * [simplify]: Extracting #5: cost 10 inf + 84 3.499 * * [simplify]: Extracting #6: cost 8 inf + 166 3.499 * * [simplify]: Extracting #7: cost 4 inf + 854 3.499 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.500 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.500 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.500 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 3.501 * * * * [progress]: [ 8 / 140 ] simplifiying candidate # 3.501 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.501 * * [simplify]: iters left: 6 (7 enodes) 3.503 * * [simplify]: iters left: 5 (22 enodes) 3.505 * * [simplify]: Extracting #0: cost 1 inf + 0 3.506 * * [simplify]: Extracting #1: cost 3 inf + 0 3.506 * * [simplify]: Extracting #2: cost 5 inf + 0 3.506 * * [simplify]: Extracting #3: cost 8 inf + 0 3.506 * * [simplify]: Extracting #4: cost 12 inf + 0 3.506 * * [simplify]: Extracting #5: cost 10 inf + 2 3.506 * * [simplify]: Extracting #6: cost 1 inf + 936 3.506 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.506 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.506 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 3.506 * * * * [progress]: [ 9 / 140 ] simplifiying candidate # 3.507 * [simplify]: Simplifying (sqrt 1) 3.507 * * [simplify]: iters left: 1 (2 enodes) 3.509 * * [simplify]: Extracting #0: cost 1 inf + 0 3.509 * * [simplify]: Extracting #1: cost 0 inf + 1 3.509 * [simplify]: Simplified to 1 3.509 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 3.509 * * * * [progress]: [ 10 / 140 ] simplifiying candidate # 3.509 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.509 * * [simplify]: iters left: 6 (9 enodes) 3.512 * * [simplify]: iters left: 5 (45 enodes) 3.523 * * [simplify]: iters left: 4 (100 enodes) 3.557 * * [simplify]: iters left: 3 (201 enodes) 3.616 * * [simplify]: iters left: 2 (406 enodes) 3.751 * * [simplify]: Extracting #0: cost 1 inf + 0 3.751 * * [simplify]: Extracting #1: cost 3 inf + 0 3.751 * * [simplify]: Extracting #2: cost 6 inf + 0 3.752 * * [simplify]: Extracting #3: cost 62 inf + 0 3.752 * * [simplify]: Extracting #4: cost 166 inf + 460 3.754 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.757 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.762 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.767 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.773 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 3.773 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 3.773 * * * * [progress]: [ 11 / 140 ] simplifiying candidate # 3.773 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.773 * * [simplify]: iters left: 6 (8 enodes) 3.775 * * [simplify]: iters left: 5 (37 enodes) 3.786 * * [simplify]: iters left: 4 (67 enodes) 3.809 * * [simplify]: iters left: 3 (123 enodes) 3.863 * * [simplify]: iters left: 2 (278 enodes) 4.009 * * [simplify]: Extracting #0: cost 1 inf + 0 4.009 * * [simplify]: Extracting #1: cost 3 inf + 0 4.009 * * [simplify]: Extracting #2: cost 50 inf + 0 4.010 * * [simplify]: Extracting #3: cost 150 inf + 0 4.012 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.016 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.028 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.043 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.056 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.056 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 4.057 * * * * [progress]: [ 12 / 140 ] simplifiying candidate # 4.057 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.057 * * [simplify]: iters left: 4 (5 enodes) 4.058 * * [simplify]: iters left: 3 (16 enodes) 4.060 * * [simplify]: Extracting #0: cost 1 inf + 0 4.060 * * [simplify]: Extracting #1: cost 4 inf + 0 4.060 * * [simplify]: Extracting #2: cost 8 inf + 0 4.060 * * [simplify]: Extracting #3: cost 4 inf + 84 4.060 * * [simplify]: Extracting #4: cost 0 inf + 410 4.061 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.061 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 4.061 * * * * [progress]: [ 13 / 140 ] simplifiying candidate # 4.061 * * * * [progress]: [ 14 / 140 ] simplifiying candidate # 4.061 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.061 * * [simplify]: iters left: 5 (6 enodes) 4.062 * * [simplify]: iters left: 4 (19 enodes) 4.065 * * [simplify]: Extracting #0: cost 1 inf + 0 4.065 * * [simplify]: Extracting #1: cost 3 inf + 0 4.065 * * [simplify]: Extracting #2: cost 6 inf + 0 4.065 * * [simplify]: Extracting #3: cost 10 inf + 0 4.065 * * [simplify]: Extracting #4: cost 6 inf + 84 4.065 * * [simplify]: Extracting #5: cost 0 inf + 734 4.065 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.065 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 4.065 * * * * [progress]: [ 15 / 140 ] simplifiying candidate # 4.065 * * * * [progress]: [ 16 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 4.066 * * * * [progress]: [ 17 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 18 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 19 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 20 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 21 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 22 / 140 ] simplifiying candidate # 4.066 * * * * [progress]: [ 23 / 140 ] simplifiying candidate # 4.066 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 4.066 * * [simplify]: iters left: 6 (8 enodes) 4.068 * * [simplify]: iters left: 5 (26 enodes) 4.072 * * [simplify]: Extracting #0: cost 1 inf + 0 4.072 * * [simplify]: Extracting #1: cost 4 inf + 0 4.072 * * [simplify]: Extracting #2: cost 7 inf + 0 4.072 * * [simplify]: Extracting #3: cost 10 inf + 0 4.072 * * [simplify]: Extracting #4: cost 14 inf + 0 4.072 * * [simplify]: Extracting #5: cost 10 inf + 84 4.072 * * [simplify]: Extracting #6: cost 8 inf + 166 4.072 * * [simplify]: Extracting #7: cost 4 inf + 854 4.073 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.073 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.073 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.073 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.073 * * * * [progress]: [ 24 / 140 ] simplifiying candidate # 4.074 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.074 * * [simplify]: iters left: 6 (7 enodes) 4.075 * * [simplify]: iters left: 5 (22 enodes) 4.078 * * [simplify]: Extracting #0: cost 1 inf + 0 4.078 * * [simplify]: Extracting #1: cost 3 inf + 0 4.078 * * [simplify]: Extracting #2: cost 5 inf + 0 4.078 * * [simplify]: Extracting #3: cost 8 inf + 0 4.079 * * [simplify]: Extracting #4: cost 12 inf + 0 4.079 * * [simplify]: Extracting #5: cost 10 inf + 2 4.079 * * [simplify]: Extracting #6: cost 1 inf + 936 4.079 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.079 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.079 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.079 * * * * [progress]: [ 25 / 140 ] simplifiying candidate # 4.079 * [simplify]: Simplifying (sqrt 1) 4.080 * * [simplify]: iters left: 1 (2 enodes) 4.082 * * [simplify]: Extracting #0: cost 1 inf + 0 4.082 * * [simplify]: Extracting #1: cost 0 inf + 1 4.082 * [simplify]: Simplified to 1 4.082 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.083 * * * * [progress]: [ 26 / 140 ] simplifiying candidate # 4.083 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 4.083 * * [simplify]: iters left: 6 (9 enodes) 4.089 * * [simplify]: iters left: 5 (45 enodes) 4.110 * * [simplify]: iters left: 4 (100 enodes) 4.155 * * [simplify]: iters left: 3 (201 enodes) 4.234 * * [simplify]: iters left: 2 (406 enodes) 4.382 * * [simplify]: Extracting #0: cost 1 inf + 0 4.382 * * [simplify]: Extracting #1: cost 3 inf + 0 4.382 * * [simplify]: Extracting #2: cost 6 inf + 0 4.382 * * [simplify]: Extracting #3: cost 62 inf + 0 4.383 * * [simplify]: Extracting #4: cost 166 inf + 460 4.384 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.392 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.397 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.403 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.411 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 4.411 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.411 * * * * [progress]: [ 27 / 140 ] simplifiying candidate # 4.412 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.412 * * [simplify]: iters left: 6 (8 enodes) 4.416 * * [simplify]: iters left: 5 (37 enodes) 4.429 * * [simplify]: iters left: 4 (67 enodes) 4.452 * * [simplify]: iters left: 3 (123 enodes) 4.479 * * [simplify]: iters left: 2 (278 enodes) 4.604 * * [simplify]: Extracting #0: cost 1 inf + 0 4.604 * * [simplify]: Extracting #1: cost 3 inf + 0 4.604 * * [simplify]: Extracting #2: cost 50 inf + 0 4.605 * * [simplify]: Extracting #3: cost 150 inf + 0 4.607 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.612 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.625 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.640 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.656 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.656 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.656 * * * * [progress]: [ 28 / 140 ] simplifiying candidate # 4.657 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.657 * * [simplify]: iters left: 4 (5 enodes) 4.658 * * [simplify]: iters left: 3 (16 enodes) 4.660 * * [simplify]: Extracting #0: cost 1 inf + 0 4.660 * * [simplify]: Extracting #1: cost 4 inf + 0 4.660 * * [simplify]: Extracting #2: cost 8 inf + 0 4.660 * * [simplify]: Extracting #3: cost 4 inf + 84 4.660 * * [simplify]: Extracting #4: cost 0 inf + 410 4.661 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.661 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.661 * * * * [progress]: [ 29 / 140 ] simplifiying candidate # 4.661 * * * * [progress]: [ 30 / 140 ] simplifiying candidate # 4.661 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.661 * * [simplify]: iters left: 5 (6 enodes) 4.662 * * [simplify]: iters left: 4 (19 enodes) 4.665 * * [simplify]: Extracting #0: cost 1 inf + 0 4.665 * * [simplify]: Extracting #1: cost 3 inf + 0 4.665 * * [simplify]: Extracting #2: cost 6 inf + 0 4.665 * * [simplify]: Extracting #3: cost 10 inf + 0 4.665 * * [simplify]: Extracting #4: cost 6 inf + 84 4.666 * * [simplify]: Extracting #5: cost 0 inf + 734 4.666 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.666 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.666 * * * * [progress]: [ 31 / 140 ] simplifiying candidate # 4.666 * * * * [progress]: [ 32 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 4.666 * * * * [progress]: [ 33 / 140 ] simplifiying candidate # 4.666 * [simplify]: Simplifying (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 4.666 * * [simplify]: iters left: 6 (11 enodes) 4.669 * * [simplify]: iters left: 5 (37 enodes) 4.677 * * [simplify]: iters left: 4 (48 enodes) 4.684 * * [simplify]: iters left: 3 (63 enodes) 4.702 * * [simplify]: iters left: 2 (97 enodes) 4.735 * * [simplify]: iters left: 1 (183 enodes) 4.795 * * [simplify]: Extracting #0: cost 1 inf + 0 4.795 * * [simplify]: Extracting #1: cost 37 inf + 0 4.796 * * [simplify]: Extracting #2: cost 113 inf + 0 4.797 * * [simplify]: Extracting #3: cost 137 inf + 74 4.797 * * [simplify]: Extracting #4: cost 141 inf + 148 4.798 * * [simplify]: Extracting #5: cost 143 inf + 189 4.798 * * [simplify]: Extracting #6: cost 135 inf + 951 4.799 * * [simplify]: Extracting #7: cost 128 inf + 2635 4.801 * * [simplify]: Extracting #8: cost 102 inf + 10073 4.808 * * [simplify]: Extracting #9: cost 28 inf + 63273 4.822 * * [simplify]: Extracting #10: cost 0 inf + 89804 4.848 * * [simplify]: Extracting #11: cost 0 inf + 89542 4.876 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 4.876 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 4.877 * * * * [progress]: [ 34 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 35 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 36 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 37 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 38 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 39 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 40 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 41 / 140 ] simplifiying candidate # 4.877 * * * * [progress]: [ 42 / 140 ] simplifiying candidate # 4.878 * * * * [progress]: [ 43 / 140 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 4.878 * * * * [progress]: [ 44 / 140 ] simplifiying candidate # 4.878 * * * * [progress]: [ 45 / 140 ] simplifiying candidate # 4.878 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.878 * * [simplify]: iters left: 5 (6 enodes) 4.881 * * [simplify]: iters left: 4 (19 enodes) 4.886 * * [simplify]: Extracting #0: cost 1 inf + 0 4.886 * * [simplify]: Extracting #1: cost 3 inf + 0 4.886 * * [simplify]: Extracting #2: cost 6 inf + 0 4.887 * * [simplify]: Extracting #3: cost 10 inf + 0 4.887 * * [simplify]: Extracting #4: cost 6 inf + 84 4.887 * * [simplify]: Extracting #5: cost 0 inf + 734 4.887 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.887 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re))))) 4.888 * [simplify]: Simplifying (+ 1/2 1/2) 4.888 * * [simplify]: iters left: 2 (2 enodes) 4.890 * * [simplify]: iters left: 1 (7 enodes) 4.893 * * [simplify]: Extracting #0: cost 1 inf + 0 4.893 * * [simplify]: Extracting #1: cost 0 inf + 1 4.893 * [simplify]: Simplified to 1 4.893 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 4.893 * * * * [progress]: [ 46 / 140 ] simplifiying candidate # 4.893 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.893 * * [simplify]: iters left: 5 (6 enodes) 4.896 * * [simplify]: iters left: 4 (19 enodes) 4.901 * * [simplify]: Extracting #0: cost 1 inf + 0 4.901 * * [simplify]: Extracting #1: cost 3 inf + 0 4.902 * * [simplify]: Extracting #2: cost 6 inf + 0 4.902 * * [simplify]: Extracting #3: cost 10 inf + 0 4.902 * * [simplify]: Extracting #4: cost 6 inf + 84 4.902 * * [simplify]: Extracting #5: cost 0 inf + 734 4.902 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.902 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re))))) 4.903 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 4.903 * * [simplify]: iters left: 4 (5 enodes) 4.908 * * [simplify]: iters left: 3 (18 enodes) 4.916 * * [simplify]: iters left: 2 (20 enodes) 4.922 * * [simplify]: Extracting #0: cost 1 inf + 0 4.922 * * [simplify]: Extracting #1: cost 0 inf + 1 4.922 * [simplify]: Simplified to 1 4.922 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 4.922 * * * * [progress]: [ 47 / 140 ] simplifiying candidate # 4.923 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.923 * * [simplify]: iters left: 6 (7 enodes) 4.926 * * [simplify]: iters left: 5 (22 enodes) 4.932 * * [simplify]: Extracting #0: cost 1 inf + 0 4.932 * * [simplify]: Extracting #1: cost 3 inf + 0 4.932 * * [simplify]: Extracting #2: cost 5 inf + 0 4.932 * * [simplify]: Extracting #3: cost 8 inf + 0 4.932 * * [simplify]: Extracting #4: cost 12 inf + 0 4.932 * * [simplify]: Extracting #5: cost 10 inf + 2 4.932 * * [simplify]: Extracting #6: cost 1 inf + 936 4.933 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.933 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.933 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 4.937 * [simplify]: Simplifying (+ 1 1) 4.937 * * [simplify]: iters left: 2 (2 enodes) 4.940 * * [simplify]: iters left: 1 (9 enodes) 4.943 * * [simplify]: Extracting #0: cost 1 inf + 0 4.943 * * [simplify]: Extracting #1: cost 0 inf + 1 4.943 * [simplify]: Simplified to 2 4.943 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 4.944 * * * * [progress]: [ 48 / 140 ] simplifiying candidate # 4.944 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.944 * * [simplify]: iters left: 4 (5 enodes) 4.946 * * [simplify]: iters left: 3 (16 enodes) 4.951 * * [simplify]: Extracting #0: cost 1 inf + 0 4.951 * * [simplify]: Extracting #1: cost 4 inf + 0 4.951 * * [simplify]: Extracting #2: cost 8 inf + 0 4.951 * * [simplify]: Extracting #3: cost 4 inf + 84 4.951 * * [simplify]: Extracting #4: cost 0 inf + 410 4.951 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.951 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re))))) 4.952 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 4.952 * * [simplify]: iters left: 4 (4 enodes) 4.957 * * [simplify]: iters left: 3 (13 enodes) 4.961 * * [simplify]: Extracting #0: cost 1 inf + 0 4.961 * * [simplify]: Extracting #1: cost 0 inf + 1 4.961 * [simplify]: Simplified to 1/2 4.961 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 4.961 * * * * [progress]: [ 49 / 140 ] simplifiying candidate # 4.962 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.962 * * [simplify]: iters left: 4 (5 enodes) 4.964 * * [simplify]: iters left: 3 (16 enodes) 4.968 * * [simplify]: Extracting #0: cost 1 inf + 0 4.968 * * [simplify]: Extracting #1: cost 4 inf + 0 4.968 * * [simplify]: Extracting #2: cost 8 inf + 0 4.969 * * [simplify]: Extracting #3: cost 4 inf + 84 4.969 * * [simplify]: Extracting #4: cost 0 inf + 410 4.969 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.969 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re))))) 4.969 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 4.969 * * [simplify]: iters left: 6 (7 enodes) 4.976 * * [simplify]: iters left: 5 (28 enodes) 4.987 * * [simplify]: iters left: 4 (32 enodes) 4.991 * * [simplify]: Extracting #0: cost 1 inf + 0 4.991 * * [simplify]: Extracting #1: cost 0 inf + 1 4.991 * [simplify]: Simplified to 1/2 4.991 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 4.991 * * * * [progress]: [ 50 / 140 ] simplifiying candidate # 4.992 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.992 * * [simplify]: iters left: 5 (6 enodes) 4.993 * * [simplify]: iters left: 4 (19 enodes) 4.996 * * [simplify]: Extracting #0: cost 1 inf + 0 4.996 * * [simplify]: Extracting #1: cost 3 inf + 0 4.996 * * [simplify]: Extracting #2: cost 6 inf + 0 4.996 * * [simplify]: Extracting #3: cost 10 inf + 0 4.996 * * [simplify]: Extracting #4: cost 6 inf + 84 4.996 * * [simplify]: Extracting #5: cost 0 inf + 734 4.996 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.996 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re))))) 4.996 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 4.996 * * [simplify]: iters left: 4 (5 enodes) 5.001 * * [simplify]: iters left: 3 (18 enodes) 5.004 * * [simplify]: iters left: 2 (20 enodes) 5.007 * * [simplify]: Extracting #0: cost 1 inf + 0 5.007 * * [simplify]: Extracting #1: cost 0 inf + 1 5.007 * [simplify]: Simplified to 1 5.007 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.007 * * * * [progress]: [ 51 / 140 ] simplifiying candidate # 5.007 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.007 * * [simplify]: iters left: 5 (6 enodes) 5.008 * * [simplify]: iters left: 4 (19 enodes) 5.011 * * [simplify]: Extracting #0: cost 1 inf + 0 5.011 * * [simplify]: Extracting #1: cost 3 inf + 0 5.011 * * [simplify]: Extracting #2: cost 6 inf + 0 5.011 * * [simplify]: Extracting #3: cost 10 inf + 0 5.011 * * [simplify]: Extracting #4: cost 6 inf + 84 5.011 * * [simplify]: Extracting #5: cost 0 inf + 734 5.011 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.011 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re))))) 5.012 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 5.012 * * [simplify]: iters left: 4 (4 enodes) 5.014 * * [simplify]: iters left: 3 (15 enodes) 5.017 * * [simplify]: iters left: 2 (17 enodes) 5.020 * * [simplify]: Extracting #0: cost 1 inf + 0 5.020 * * [simplify]: Extracting #1: cost 0 inf + 1 5.020 * [simplify]: Simplified to 1 5.020 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.020 * * * * [progress]: [ 52 / 140 ] simplifiying candidate # 5.020 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.020 * * [simplify]: iters left: 4 (5 enodes) 5.021 * * [simplify]: iters left: 3 (16 enodes) 5.023 * * [simplify]: Extracting #0: cost 1 inf + 0 5.023 * * [simplify]: Extracting #1: cost 4 inf + 0 5.023 * * [simplify]: Extracting #2: cost 8 inf + 0 5.023 * * [simplify]: Extracting #3: cost 4 inf + 84 5.024 * * [simplify]: Extracting #4: cost 0 inf + 410 5.024 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.024 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re))))) 5.024 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 5.024 * * [simplify]: iters left: 6 (7 enodes) 5.029 * * [simplify]: iters left: 5 (28 enodes) 5.034 * * [simplify]: iters left: 4 (32 enodes) 5.039 * * [simplify]: Extracting #0: cost 1 inf + 0 5.039 * * [simplify]: Extracting #1: cost 0 inf + 1 5.039 * [simplify]: Simplified to 1/2 5.039 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 5.039 * * * * [progress]: [ 53 / 140 ] simplifiying candidate # 5.039 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.039 * * [simplify]: iters left: 4 (5 enodes) 5.040 * * [simplify]: iters left: 3 (16 enodes) 5.045 * * [simplify]: Extracting #0: cost 1 inf + 0 5.045 * * [simplify]: Extracting #1: cost 4 inf + 0 5.045 * * [simplify]: Extracting #2: cost 8 inf + 0 5.045 * * [simplify]: Extracting #3: cost 4 inf + 84 5.045 * * [simplify]: Extracting #4: cost 0 inf + 410 5.045 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.045 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re))))) 5.046 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.046 * * [simplify]: iters left: 6 (5 enodes) 5.055 * * [simplify]: iters left: 5 (22 enodes) 5.064 * * [simplify]: iters left: 4 (26 enodes) 5.071 * * [simplify]: Extracting #0: cost 1 inf + 0 5.071 * * [simplify]: Extracting #1: cost 0 inf + 1 5.071 * [simplify]: Simplified to 1/2 5.071 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 5.071 * * * * [progress]: [ 54 / 140 ] simplifiying candidate # 5.072 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 5.072 * * [simplify]: iters left: 6 (7 enodes) 5.075 * * [simplify]: iters left: 5 (20 enodes) 5.081 * * [simplify]: iters left: 4 (21 enodes) 5.086 * * [simplify]: Extracting #0: cost 1 inf + 0 5.086 * * [simplify]: Extracting #1: cost 5 inf + 0 5.086 * * [simplify]: Extracting #2: cost 10 inf + 0 5.086 * * [simplify]: Extracting #3: cost 6 inf + 84 5.087 * * [simplify]: Extracting #4: cost 2 inf + 410 5.087 * * [simplify]: Extracting #5: cost 0 inf + 734 5.087 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.087 * [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))))) 5.088 * * * * [progress]: [ 55 / 140 ] simplifiying candidate # 5.088 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 5.088 * * [simplify]: iters left: 6 (8 enodes) 5.091 * * [simplify]: iters left: 5 (23 enodes) 5.098 * * [simplify]: iters left: 4 (24 enodes) 5.104 * * [simplify]: Extracting #0: cost 1 inf + 0 5.104 * * [simplify]: Extracting #1: cost 4 inf + 0 5.104 * * [simplify]: Extracting #2: cost 8 inf + 0 5.104 * * [simplify]: Extracting #3: cost 12 inf + 0 5.104 * * [simplify]: Extracting #4: cost 10 inf + 2 5.104 * * [simplify]: Extracting #5: cost 3 inf + 572 5.105 * * [simplify]: Extracting #6: cost 0 inf + 1138 5.105 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.105 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.106 * * * * [progress]: [ 56 / 140 ] simplifiying candidate # 5.106 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.106 * * [simplify]: iters left: 6 (6 enodes) 5.109 * * [simplify]: iters left: 5 (25 enodes) 5.113 * * [simplify]: iters left: 4 (55 enodes) 5.123 * * [simplify]: iters left: 3 (127 enodes) 5.145 * * [simplify]: iters left: 2 (201 enodes) 5.199 * * [simplify]: iters left: 1 (287 enodes) 5.270 * * [simplify]: Extracting #0: cost 1 inf + 0 5.271 * * [simplify]: Extracting #1: cost 11 inf + 0 5.271 * * [simplify]: Extracting #2: cost 47 inf + 0 5.271 * * [simplify]: Extracting #3: cost 69 inf + 328 5.272 * * [simplify]: Extracting #4: cost 43 inf + 4414 5.274 * * [simplify]: Extracting #5: cost 1 inf + 11002 5.277 * * [simplify]: Extracting #6: cost 0 inf + 11044 5.280 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.280 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re))))) 5.280 * [simplify]: Simplifying (/ 1/2 2) 5.280 * * [simplify]: iters left: 2 (3 enodes) 5.282 * * [simplify]: iters left: 1 (10 enodes) 5.284 * * [simplify]: Extracting #0: cost 1 inf + 0 5.284 * * [simplify]: Extracting #1: cost 0 inf + 1 5.284 * [simplify]: Simplified to 1/4 5.284 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 5.284 * * * * [progress]: [ 57 / 140 ] simplifiying candidate # 5.285 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 5.285 * * [simplify]: iters left: 6 (7 enodes) 5.286 * * [simplify]: iters left: 5 (20 enodes) 5.289 * * [simplify]: iters left: 4 (21 enodes) 5.292 * * [simplify]: Extracting #0: cost 1 inf + 0 5.292 * * [simplify]: Extracting #1: cost 5 inf + 0 5.292 * * [simplify]: Extracting #2: cost 10 inf + 0 5.292 * * [simplify]: Extracting #3: cost 6 inf + 84 5.292 * * [simplify]: Extracting #4: cost 2 inf + 410 5.292 * * [simplify]: Extracting #5: cost 0 inf + 734 5.292 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.292 * [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))))) 5.292 * [simplify]: Simplifying (/ 1 2) 5.293 * * [simplify]: iters left: 2 (3 enodes) 5.294 * * [simplify]: iters left: 1 (12 enodes) 5.297 * * [simplify]: Extracting #0: cost 1 inf + 0 5.297 * * [simplify]: Extracting #1: cost 0 inf + 1 5.297 * [simplify]: Simplified to 1/2 5.297 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 5.297 * * * * [progress]: [ 58 / 140 ] simplifiying candidate # 5.297 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.297 * * [simplify]: iters left: 6 (6 enodes) 5.299 * * [simplify]: iters left: 5 (25 enodes) 5.305 * * [simplify]: iters left: 4 (55 enodes) 5.325 * * [simplify]: iters left: 3 (127 enodes) 5.366 * * [simplify]: iters left: 2 (201 enodes) 5.399 * * [simplify]: iters left: 1 (287 enodes) 5.493 * * [simplify]: Extracting #0: cost 1 inf + 0 5.493 * * [simplify]: Extracting #1: cost 11 inf + 0 5.493 * * [simplify]: Extracting #2: cost 47 inf + 0 5.494 * * [simplify]: Extracting #3: cost 69 inf + 328 5.495 * * [simplify]: Extracting #4: cost 43 inf + 4414 5.497 * * [simplify]: Extracting #5: cost 1 inf + 11002 5.500 * * [simplify]: Extracting #6: cost 0 inf + 11044 5.503 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.503 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re))))) 5.503 * [simplify]: Simplifying (/ (/ 1 2) 2) 5.503 * * [simplify]: iters left: 4 (4 enodes) 5.506 * * [simplify]: iters left: 3 (19 enodes) 5.510 * * [simplify]: iters left: 2 (23 enodes) 5.513 * * [simplify]: Extracting #0: cost 1 inf + 0 5.513 * * [simplify]: Extracting #1: cost 0 inf + 1 5.514 * [simplify]: Simplified to 1/4 5.514 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 5.514 * * * * [progress]: [ 59 / 140 ] simplifiying candidate # 5.514 * * * * [progress]: [ 60 / 140 ] simplifiying candidate # 5.514 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 5.514 * * [simplify]: iters left: 6 (7 enodes) 5.516 * * [simplify]: iters left: 5 (22 enodes) 5.519 * * [simplify]: Extracting #0: cost 1 inf + 0 5.519 * * [simplify]: Extracting #1: cost 3 inf + 0 5.519 * * [simplify]: Extracting #2: cost 5 inf + 0 5.519 * * [simplify]: Extracting #3: cost 8 inf + 0 5.519 * * [simplify]: Extracting #4: cost 12 inf + 0 5.519 * * [simplify]: Extracting #5: cost 10 inf + 2 5.519 * * [simplify]: Extracting #6: cost 1 inf + 936 5.519 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.520 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.520 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 5.520 * * * * [progress]: [ 61 / 140 ] simplifiying candidate # 5.520 * * * * [progress]: [ 62 / 140 ] simplifiying candidate # 5.520 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 5.520 * * [simplify]: iters left: 6 (9 enodes) 5.523 * * [simplify]: iters left: 5 (28 enodes) 5.531 * * [simplify]: Extracting #0: cost 1 inf + 0 5.531 * * [simplify]: Extracting #1: cost 3 inf + 0 5.531 * * [simplify]: Extracting #2: cost 5 inf + 0 5.531 * * [simplify]: Extracting #3: cost 7 inf + 0 5.531 * * [simplify]: Extracting #4: cost 9 inf + 0 5.531 * * [simplify]: Extracting #5: cost 12 inf + 0 5.531 * * [simplify]: Extracting #6: cost 16 inf + 0 5.531 * * [simplify]: Extracting #7: cost 12 inf + 84 5.531 * * [simplify]: Extracting #8: cost 10 inf + 166 5.531 * * [simplify]: Extracting #9: cost 7 inf + 572 5.532 * * [simplify]: Extracting #10: cost 4 inf + 1208 5.532 * * [simplify]: Extracting #11: cost 1 inf + 1994 5.533 * * [simplify]: Extracting #12: cost 0 inf + 2306 5.534 * [simplify]: Simplified to (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 5.534 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.534 * * * * [progress]: [ 63 / 140 ] simplifiying candidate # 5.534 * * * * [progress]: [ 64 / 140 ] simplifiying candidate # 5.534 * * * * [progress]: [ 65 / 140 ] simplifiying candidate # 5.534 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) 5.535 * * [simplify]: iters left: 6 (10 enodes) 5.540 * * [simplify]: iters left: 5 (36 enodes) 5.551 * * [simplify]: iters left: 4 (47 enodes) 5.560 * * [simplify]: iters left: 3 (79 enodes) 5.577 * * [simplify]: iters left: 2 (165 enodes) 5.632 * * [simplify]: iters left: 1 (305 enodes) 5.731 * * [simplify]: Extracting #0: cost 1 inf + 0 5.731 * * [simplify]: Extracting #1: cost 24 inf + 0 5.732 * * [simplify]: Extracting #2: cost 109 inf + 3 5.732 * * [simplify]: Extracting #3: cost 127 inf + 1447 5.735 * * [simplify]: Extracting #4: cost 61 inf + 21575 5.742 * * [simplify]: Extracting #5: cost 10 inf + 46335 5.753 * * [simplify]: Extracting #6: cost 0 inf + 51476 5.761 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 5.761 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) re))))) 5.761 * * * * [progress]: [ 66 / 140 ] simplifiying candidate # 5.761 * * * * [progress]: [ 67 / 140 ] simplifiying candidate # 5.761 * * * * [progress]: [ 68 / 140 ] simplifiying candidate # 5.761 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 5.761 * * [simplify]: iters left: 6 (7 enodes) 5.763 * * [simplify]: iters left: 5 (20 enodes) 5.766 * * [simplify]: iters left: 4 (21 enodes) 5.768 * * [simplify]: Extracting #0: cost 1 inf + 0 5.768 * * [simplify]: Extracting #1: cost 5 inf + 0 5.768 * * [simplify]: Extracting #2: cost 10 inf + 0 5.768 * * [simplify]: Extracting #3: cost 6 inf + 84 5.768 * * [simplify]: Extracting #4: cost 2 inf + 410 5.768 * * [simplify]: Extracting #5: cost 0 inf + 734 5.769 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.769 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 5.769 * * * * [progress]: [ 69 / 140 ] simplifiying candidate # 5.769 * * * * [progress]: [ 70 / 140 ] simplifiying candidate # 5.769 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.769 * * [simplify]: iters left: 4 (5 enodes) 5.770 * * [simplify]: iters left: 3 (16 enodes) 5.772 * * [simplify]: Extracting #0: cost 1 inf + 0 5.772 * * [simplify]: Extracting #1: cost 4 inf + 0 5.772 * * [simplify]: Extracting #2: cost 8 inf + 0 5.772 * * [simplify]: Extracting #3: cost 4 inf + 84 5.772 * * [simplify]: Extracting #4: cost 0 inf + 410 5.773 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.773 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 5.773 * * * * [progress]: [ 71 / 140 ] simplifiying candidate # 5.773 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 5.773 * * [simplify]: iters left: 6 (11 enodes) 5.776 * * [simplify]: iters left: 5 (49 enodes) 5.787 * * [simplify]: iters left: 4 (105 enodes) 5.825 * * [simplify]: iters left: 3 (201 enodes) 5.885 * * [simplify]: iters left: 2 (396 enodes) 6.001 * * [simplify]: Extracting #0: cost 1 inf + 0 6.001 * * [simplify]: Extracting #1: cost 4 inf + 0 6.001 * * [simplify]: Extracting #2: cost 8 inf + 0 6.002 * * [simplify]: Extracting #3: cost 61 inf + 0 6.003 * * [simplify]: Extracting #4: cost 157 inf + 671 6.005 * * [simplify]: Extracting #5: cost 129 inf + 10255 6.012 * * [simplify]: Extracting #6: cost 39 inf + 44338 6.028 * * [simplify]: Extracting #7: cost 2 inf + 59267 6.038 * * [simplify]: Extracting #8: cost 0 inf + 60033 6.046 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 6.046 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 6.047 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 6.047 * * [simplify]: iters left: 6 (12 enodes) 6.050 * * [simplify]: iters left: 5 (56 enodes) 6.061 * * [simplify]: iters left: 4 (124 enodes) 6.085 * * [simplify]: iters left: 3 (239 enodes) 6.141 * * [simplify]: iters left: 2 (372 enodes) 6.293 * * [simplify]: Extracting #0: cost 1 inf + 0 6.293 * * [simplify]: Extracting #1: cost 4 inf + 0 6.293 * * [simplify]: Extracting #2: cost 24 inf + 0 6.293 * * [simplify]: Extracting #3: cost 150 inf + 0 6.294 * * [simplify]: Extracting #4: cost 210 inf + 1501 6.297 * * [simplify]: Extracting #5: cost 96 inf + 17493 6.303 * * [simplify]: Extracting #6: cost 7 inf + 34019 6.310 * * [simplify]: Extracting #7: cost 0 inf + 35684 6.322 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 6.322 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) re))))) 6.323 * * * * [progress]: [ 72 / 140 ] simplifiying candidate # 6.323 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 6.323 * * [simplify]: iters left: 6 (16 enodes) 6.332 * * [simplify]: iters left: 5 (78 enodes) 6.353 * * [simplify]: iters left: 4 (137 enodes) 6.392 * * [simplify]: iters left: 3 (269 enodes) 6.484 * * [simplify]: Extracting #0: cost 1 inf + 0 6.484 * * [simplify]: Extracting #1: cost 4 inf + 0 6.484 * * [simplify]: Extracting #2: cost 8 inf + 0 6.485 * * [simplify]: Extracting #3: cost 12 inf + 0 6.485 * * [simplify]: Extracting #4: cost 33 inf + 0 6.485 * * [simplify]: Extracting #5: cost 109 inf + 0 6.486 * * [simplify]: Extracting #6: cost 133 inf + 2842 6.490 * * [simplify]: Extracting #7: cost 55 inf + 17725 6.494 * * [simplify]: Extracting #8: cost 11 inf + 28713 6.499 * * [simplify]: Extracting #9: cost 2 inf + 31283 6.503 * * [simplify]: Extracting #10: cost 0 inf + 32038 6.508 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) 6.508 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.508 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 6.508 * * [simplify]: iters left: 6 (15 enodes) 6.512 * * [simplify]: iters left: 5 (73 enodes) 6.533 * * [simplify]: iters left: 4 (150 enodes) 6.564 * * [simplify]: iters left: 3 (266 enodes) 6.640 * * [simplify]: iters left: 2 (413 enodes) 6.777 * * [simplify]: Extracting #0: cost 1 inf + 0 6.778 * * [simplify]: Extracting #1: cost 4 inf + 0 6.778 * * [simplify]: Extracting #2: cost 8 inf + 0 6.778 * * [simplify]: Extracting #3: cost 12 inf + 0 6.778 * * [simplify]: Extracting #4: cost 70 inf + 0 6.778 * * [simplify]: Extracting #5: cost 212 inf + 0 6.780 * * [simplify]: Extracting #6: cost 209 inf + 6579 6.787 * * [simplify]: Extracting #7: cost 60 inf + 31165 6.805 * * [simplify]: Extracting #8: cost 1 inf + 42945 6.821 * * [simplify]: Extracting #9: cost 0 inf + 43408 6.839 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) 6.839 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.839 * * * * [progress]: [ 73 / 140 ] simplifiying candidate # 6.840 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 6.840 * * [simplify]: iters left: 6 (16 enodes) 6.849 * * [simplify]: iters left: 5 (78 enodes) 6.880 * * [simplify]: iters left: 4 (137 enodes) 6.915 * * [simplify]: iters left: 3 (272 enodes) 6.995 * * [simplify]: Extracting #0: cost 1 inf + 0 6.995 * * [simplify]: Extracting #1: cost 4 inf + 0 6.995 * * [simplify]: Extracting #2: cost 8 inf + 0 6.995 * * [simplify]: Extracting #3: cost 12 inf + 0 6.995 * * [simplify]: Extracting #4: cost 33 inf + 0 6.996 * * [simplify]: Extracting #5: cost 109 inf + 0 6.997 * * [simplify]: Extracting #6: cost 133 inf + 1786 6.999 * * [simplify]: Extracting #7: cost 54 inf + 15909 7.003 * * [simplify]: Extracting #8: cost 26 inf + 23449 7.009 * * [simplify]: Extracting #9: cost 4 inf + 30699 7.018 * * [simplify]: Extracting #10: cost 0 inf + 32460 7.027 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 7.027 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 7.028 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 7.028 * * [simplify]: iters left: 6 (15 enodes) 7.036 * * [simplify]: iters left: 5 (73 enodes) 7.063 * * [simplify]: iters left: 4 (150 enodes) 7.124 * * [simplify]: iters left: 3 (267 enodes) 7.197 * * [simplify]: iters left: 2 (414 enodes) 7.333 * * [simplify]: Extracting #0: cost 1 inf + 0 7.333 * * [simplify]: Extracting #1: cost 4 inf + 0 7.333 * * [simplify]: Extracting #2: cost 8 inf + 0 7.333 * * [simplify]: Extracting #3: cost 12 inf + 0 7.333 * * [simplify]: Extracting #4: cost 70 inf + 0 7.334 * * [simplify]: Extracting #5: cost 212 inf + 0 7.336 * * [simplify]: Extracting #6: cost 218 inf + 6401 7.341 * * [simplify]: Extracting #7: cost 87 inf + 25379 7.349 * * [simplify]: Extracting #8: cost 3 inf + 42502 7.358 * * [simplify]: Extracting #9: cost 0 inf + 43168 7.379 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 7.379 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 7.380 * * * * [progress]: [ 74 / 140 ] simplifiying candidate # 7.380 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 7.380 * * [simplify]: iters left: 6 (10 enodes) 7.385 * * [simplify]: iters left: 5 (41 enodes) 7.395 * * [simplify]: iters left: 4 (72 enodes) 7.407 * * [simplify]: iters left: 3 (128 enodes) 7.447 * * [simplify]: iters left: 2 (283 enodes) 7.550 * * [simplify]: Extracting #0: cost 1 inf + 0 7.550 * * [simplify]: Extracting #1: cost 4 inf + 0 7.550 * * [simplify]: Extracting #2: cost 52 inf + 0 7.550 * * [simplify]: Extracting #3: cost 152 inf + 0 7.551 * * [simplify]: Extracting #4: cost 199 inf + 535 7.552 * * [simplify]: Extracting #5: cost 161 inf + 5103 7.558 * * [simplify]: Extracting #6: cost 30 inf + 30852 7.565 * * [simplify]: Extracting #7: cost 0 inf + 36613 7.573 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.573 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 7.573 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) 7.573 * * [simplify]: iters left: 6 (8 enodes) 7.577 * * [simplify]: iters left: 5 (27 enodes) 7.585 * * [simplify]: iters left: 4 (41 enodes) 7.596 * * [simplify]: iters left: 3 (58 enodes) 7.613 * * [simplify]: iters left: 2 (99 enodes) 7.640 * * [simplify]: iters left: 1 (182 enodes) 7.676 * * [simplify]: Extracting #0: cost 1 inf + 0 7.676 * * [simplify]: Extracting #1: cost 4 inf + 0 7.676 * * [simplify]: Extracting #2: cost 25 inf + 0 7.676 * * [simplify]: Extracting #3: cost 59 inf + 0 7.677 * * [simplify]: Extracting #4: cost 51 inf + 412 7.679 * * [simplify]: Extracting #5: cost 18 inf + 3835 7.682 * * [simplify]: Extracting #6: cost 1 inf + 6149 7.685 * * [simplify]: Extracting #7: cost 0 inf + 6351 7.688 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 7.689 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 7.689 * * * * [progress]: [ 75 / 140 ] simplifiying candidate # 7.689 * * * * [progress]: [ 76 / 140 ] simplifiying candidate # 7.689 * [simplify]: Simplifying (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 7.689 * * [simplify]: iters left: 6 (10 enodes) 7.694 * * [simplify]: iters left: 5 (35 enodes) 7.704 * * [simplify]: iters left: 4 (39 enodes) 7.716 * * [simplify]: iters left: 3 (50 enodes) 7.726 * * [simplify]: iters left: 2 (74 enodes) 7.740 * * [simplify]: iters left: 1 (122 enodes) 7.766 * * [simplify]: Extracting #0: cost 1 inf + 0 7.766 * * [simplify]: Extracting #1: cost 13 inf + 0 7.766 * * [simplify]: Extracting #2: cost 40 inf + 1 7.767 * * [simplify]: Extracting #3: cost 40 inf + 7 7.767 * * [simplify]: Extracting #4: cost 42 inf + 9 7.767 * * [simplify]: Extracting #5: cost 45 inf + 10 7.767 * * [simplify]: Extracting #6: cost 41 inf + 94 7.768 * * [simplify]: Extracting #7: cost 35 inf + 744 7.769 * * [simplify]: Extracting #8: cost 31 inf + 1752 7.772 * * [simplify]: Extracting #9: cost 12 inf + 11228 7.776 * * [simplify]: Extracting #10: cost 2 inf + 18297 7.779 * * [simplify]: Extracting #11: cost 0 inf + 19785 7.782 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.782 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.782 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.783 * * [simplify]: iters left: 6 (9 enodes) 7.784 * * [simplify]: iters left: 5 (28 enodes) 7.788 * * [simplify]: Extracting #0: cost 1 inf + 0 7.788 * * [simplify]: Extracting #1: cost 3 inf + 0 7.788 * * [simplify]: Extracting #2: cost 5 inf + 0 7.788 * * [simplify]: Extracting #3: cost 7 inf + 0 7.788 * * [simplify]: Extracting #4: cost 9 inf + 0 7.788 * * [simplify]: Extracting #5: cost 12 inf + 0 7.788 * * [simplify]: Extracting #6: cost 16 inf + 0 7.788 * * [simplify]: Extracting #7: cost 12 inf + 84 7.788 * * [simplify]: Extracting #8: cost 10 inf + 166 7.788 * * [simplify]: Extracting #9: cost 7 inf + 572 7.789 * * [simplify]: Extracting #10: cost 4 inf + 1218 7.789 * * [simplify]: Extracting #11: cost 1 inf + 2024 7.789 * * [simplify]: Extracting #12: cost 0 inf + 2346 7.790 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.790 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.790 * * * * [progress]: [ 77 / 140 ] simplifiying candidate # 7.790 * [simplify]: Simplifying (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 7.790 * * [simplify]: iters left: 6 (10 enodes) 7.792 * * [simplify]: iters left: 5 (30 enodes) 7.796 * * [simplify]: iters left: 4 (31 enodes) 7.802 * * [simplify]: Extracting #0: cost 1 inf + 0 7.802 * * [simplify]: Extracting #1: cost 4 inf + 0 7.802 * * [simplify]: Extracting #2: cost 7 inf + 0 7.803 * * [simplify]: Extracting #3: cost 9 inf + 0 7.803 * * [simplify]: Extracting #4: cost 12 inf + 0 7.803 * * [simplify]: Extracting #5: cost 16 inf + 0 7.803 * * [simplify]: Extracting #6: cost 12 inf + 84 7.803 * * [simplify]: Extracting #7: cost 10 inf + 166 7.803 * * [simplify]: Extracting #8: cost 8 inf + 450 7.803 * * [simplify]: Extracting #9: cost 3 inf + 1540 7.804 * * [simplify]: Extracting #10: cost 0 inf + 2346 7.804 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 7.804 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.804 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 7.805 * * [simplify]: iters left: 6 (9 enodes) 7.806 * * [simplify]: iters left: 5 (26 enodes) 7.810 * * [simplify]: iters left: 4 (27 enodes) 7.813 * * [simplify]: Extracting #0: cost 1 inf + 0 7.813 * * [simplify]: Extracting #1: cost 4 inf + 0 7.813 * * [simplify]: Extracting #2: cost 7 inf + 0 7.814 * * [simplify]: Extracting #3: cost 10 inf + 0 7.814 * * [simplify]: Extracting #4: cost 14 inf + 0 7.814 * * [simplify]: Extracting #5: cost 10 inf + 84 7.814 * * [simplify]: Extracting #6: cost 8 inf + 166 7.814 * * [simplify]: Extracting #7: cost 5 inf + 572 7.814 * * [simplify]: Extracting #8: cost 2 inf + 1258 7.814 * * [simplify]: Extracting #9: cost 0 inf + 1782 7.815 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 7.815 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 7.815 * * * * [progress]: [ 78 / 140 ] simplifiying candidate # 7.815 * [simplify]: Simplifying (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 7.815 * * [simplify]: iters left: 6 (10 enodes) 7.817 * * [simplify]: iters left: 5 (30 enodes) 7.825 * * [simplify]: iters left: 4 (31 enodes) 7.833 * * [simplify]: Extracting #0: cost 1 inf + 0 7.833 * * [simplify]: Extracting #1: cost 5 inf + 0 7.833 * * [simplify]: Extracting #2: cost 9 inf + 0 7.833 * * [simplify]: Extracting #3: cost 12 inf + 0 7.833 * * [simplify]: Extracting #4: cost 16 inf + 0 7.834 * * [simplify]: Extracting #5: cost 12 inf + 84 7.834 * * [simplify]: Extracting #6: cost 10 inf + 166 7.834 * * [simplify]: Extracting #7: cost 7 inf + 732 7.834 * * [simplify]: Extracting #8: cost 2 inf + 1822 7.835 * * [simplify]: Extracting #9: cost 0 inf + 2346 7.836 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 7.836 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 7.836 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 7.837 * * [simplify]: iters left: 6 (9 enodes) 7.840 * * [simplify]: iters left: 5 (26 enodes) 7.846 * * [simplify]: iters left: 4 (27 enodes) 7.850 * * [simplify]: Extracting #0: cost 1 inf + 0 7.850 * * [simplify]: Extracting #1: cost 4 inf + 0 7.850 * * [simplify]: Extracting #2: cost 7 inf + 0 7.850 * * [simplify]: Extracting #3: cost 10 inf + 0 7.850 * * [simplify]: Extracting #4: cost 14 inf + 0 7.850 * * [simplify]: Extracting #5: cost 10 inf + 84 7.850 * * [simplify]: Extracting #6: cost 8 inf + 166 7.850 * * [simplify]: Extracting #7: cost 5 inf + 612 7.850 * * [simplify]: Extracting #8: cost 2 inf + 1338 7.850 * * [simplify]: Extracting #9: cost 0 inf + 1862 7.851 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 7.851 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 7.851 * * * * [progress]: [ 79 / 140 ] simplifiying candidate # 7.851 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.851 * * [simplify]: iters left: 6 (9 enodes) 7.853 * * [simplify]: iters left: 5 (26 enodes) 7.856 * * [simplify]: iters left: 4 (27 enodes) 7.860 * * [simplify]: Extracting #0: cost 1 inf + 0 7.860 * * [simplify]: Extracting #1: cost 4 inf + 0 7.860 * * [simplify]: Extracting #2: cost 7 inf + 0 7.860 * * [simplify]: Extracting #3: cost 10 inf + 0 7.860 * * [simplify]: Extracting #4: cost 14 inf + 0 7.860 * * [simplify]: Extracting #5: cost 10 inf + 84 7.860 * * [simplify]: Extracting #6: cost 8 inf + 166 7.860 * * [simplify]: Extracting #7: cost 5 inf + 572 7.860 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.860 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.861 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.861 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.861 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.861 * * [simplify]: iters left: 6 (9 enodes) 7.863 * * [simplify]: iters left: 5 (26 enodes) 7.866 * * [simplify]: iters left: 4 (27 enodes) 7.870 * * [simplify]: Extracting #0: cost 1 inf + 0 7.870 * * [simplify]: Extracting #1: cost 4 inf + 0 7.870 * * [simplify]: Extracting #2: cost 7 inf + 0 7.870 * * [simplify]: Extracting #3: cost 10 inf + 0 7.870 * * [simplify]: Extracting #4: cost 14 inf + 0 7.870 * * [simplify]: Extracting #5: cost 10 inf + 84 7.870 * * [simplify]: Extracting #6: cost 8 inf + 166 7.870 * * [simplify]: Extracting #7: cost 5 inf + 572 7.871 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.871 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.871 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.871 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.871 * * * * [progress]: [ 80 / 140 ] simplifiying candidate # 7.872 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.872 * * [simplify]: iters left: 6 (9 enodes) 7.874 * * [simplify]: iters left: 5 (26 enodes) 7.877 * * [simplify]: iters left: 4 (27 enodes) 7.880 * * [simplify]: Extracting #0: cost 1 inf + 0 7.880 * * [simplify]: Extracting #1: cost 4 inf + 0 7.880 * * [simplify]: Extracting #2: cost 7 inf + 0 7.880 * * [simplify]: Extracting #3: cost 10 inf + 0 7.880 * * [simplify]: Extracting #4: cost 14 inf + 0 7.880 * * [simplify]: Extracting #5: cost 10 inf + 84 7.881 * * [simplify]: Extracting #6: cost 8 inf + 166 7.881 * * [simplify]: Extracting #7: cost 5 inf + 572 7.881 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.881 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.881 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.881 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.882 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.882 * * [simplify]: iters left: 6 (9 enodes) 7.884 * * [simplify]: iters left: 5 (26 enodes) 7.887 * * [simplify]: iters left: 4 (27 enodes) 7.892 * * [simplify]: Extracting #0: cost 1 inf + 0 7.892 * * [simplify]: Extracting #1: cost 4 inf + 0 7.892 * * [simplify]: Extracting #2: cost 7 inf + 0 7.892 * * [simplify]: Extracting #3: cost 10 inf + 0 7.892 * * [simplify]: Extracting #4: cost 14 inf + 0 7.892 * * [simplify]: Extracting #5: cost 10 inf + 84 7.892 * * [simplify]: Extracting #6: cost 8 inf + 166 7.892 * * [simplify]: Extracting #7: cost 5 inf + 572 7.894 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.895 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.895 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.895 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.896 * * * * [progress]: [ 81 / 140 ] simplifiying candidate # 7.896 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.896 * * [simplify]: iters left: 6 (9 enodes) 7.900 * * [simplify]: iters left: 5 (26 enodes) 7.907 * * [simplify]: iters left: 4 (27 enodes) 7.914 * * [simplify]: Extracting #0: cost 1 inf + 0 7.914 * * [simplify]: Extracting #1: cost 4 inf + 0 7.914 * * [simplify]: Extracting #2: cost 7 inf + 0 7.914 * * [simplify]: Extracting #3: cost 10 inf + 0 7.914 * * [simplify]: Extracting #4: cost 14 inf + 0 7.914 * * [simplify]: Extracting #5: cost 10 inf + 84 7.914 * * [simplify]: Extracting #6: cost 8 inf + 166 7.914 * * [simplify]: Extracting #7: cost 5 inf + 572 7.915 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.915 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.916 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.916 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.916 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.917 * * [simplify]: iters left: 6 (9 enodes) 7.920 * * [simplify]: iters left: 5 (26 enodes) 7.928 * * [simplify]: iters left: 4 (27 enodes) 7.935 * * [simplify]: Extracting #0: cost 1 inf + 0 7.935 * * [simplify]: Extracting #1: cost 4 inf + 0 7.935 * * [simplify]: Extracting #2: cost 7 inf + 0 7.935 * * [simplify]: Extracting #3: cost 10 inf + 0 7.935 * * [simplify]: Extracting #4: cost 14 inf + 0 7.935 * * [simplify]: Extracting #5: cost 10 inf + 84 7.935 * * [simplify]: Extracting #6: cost 8 inf + 166 7.935 * * [simplify]: Extracting #7: cost 5 inf + 572 7.936 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.936 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.937 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.937 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.937 * * * * [progress]: [ 82 / 140 ] simplifiying candidate # 7.938 * [simplify]: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) 7.938 * * [simplify]: iters left: 4 (4 enodes) 7.944 * * [simplify]: iters left: 3 (12 enodes) 7.947 * * [simplify]: iters left: 2 (14 enodes) 7.950 * * [simplify]: Extracting #0: cost 1 inf + 0 7.950 * * [simplify]: Extracting #1: cost 0 inf + 1 7.950 * [simplify]: Simplified to 1 7.950 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.951 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 7.951 * * [simplify]: iters left: 6 (8 enodes) 7.955 * * [simplify]: iters left: 5 (23 enodes) 7.961 * * [simplify]: iters left: 4 (24 enodes) 7.967 * * [simplify]: Extracting #0: cost 1 inf + 0 7.967 * * [simplify]: Extracting #1: cost 4 inf + 0 7.967 * * [simplify]: Extracting #2: cost 8 inf + 0 7.967 * * [simplify]: Extracting #3: cost 12 inf + 0 7.967 * * [simplify]: Extracting #4: cost 10 inf + 2 7.967 * * [simplify]: Extracting #5: cost 3 inf + 572 7.968 * * [simplify]: Extracting #6: cost 0 inf + 1138 7.968 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.968 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 7.968 * * * * [progress]: [ 83 / 140 ] simplifiying candidate # 7.969 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.969 * * [simplify]: iters left: 6 (9 enodes) 7.973 * * [simplify]: iters left: 5 (26 enodes) 7.980 * * [simplify]: iters left: 4 (27 enodes) 7.984 * * [simplify]: Extracting #0: cost 1 inf + 0 7.984 * * [simplify]: Extracting #1: cost 4 inf + 0 7.984 * * [simplify]: Extracting #2: cost 7 inf + 0 7.984 * * [simplify]: Extracting #3: cost 10 inf + 0 7.984 * * [simplify]: Extracting #4: cost 14 inf + 0 7.984 * * [simplify]: Extracting #5: cost 10 inf + 84 7.984 * * [simplify]: Extracting #6: cost 8 inf + 166 7.985 * * [simplify]: Extracting #7: cost 5 inf + 572 7.985 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.985 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.985 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.985 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.986 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.986 * * [simplify]: iters left: 6 (9 enodes) 7.988 * * [simplify]: iters left: 5 (26 enodes) 7.991 * * [simplify]: iters left: 4 (27 enodes) 7.995 * * [simplify]: Extracting #0: cost 1 inf + 0 7.995 * * [simplify]: Extracting #1: cost 4 inf + 0 7.995 * * [simplify]: Extracting #2: cost 7 inf + 0 7.995 * * [simplify]: Extracting #3: cost 10 inf + 0 7.995 * * [simplify]: Extracting #4: cost 14 inf + 0 7.995 * * [simplify]: Extracting #5: cost 10 inf + 84 7.995 * * [simplify]: Extracting #6: cost 8 inf + 166 7.995 * * [simplify]: Extracting #7: cost 5 inf + 572 7.995 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.996 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.996 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.996 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.996 * * * * [progress]: [ 84 / 140 ] simplifiying candidate # 7.996 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.996 * * [simplify]: iters left: 6 (9 enodes) 7.998 * * [simplify]: iters left: 5 (26 enodes) 8.002 * * [simplify]: iters left: 4 (27 enodes) 8.006 * * [simplify]: Extracting #0: cost 1 inf + 0 8.006 * * [simplify]: Extracting #1: cost 4 inf + 0 8.006 * * [simplify]: Extracting #2: cost 7 inf + 0 8.006 * * [simplify]: Extracting #3: cost 10 inf + 0 8.006 * * [simplify]: Extracting #4: cost 14 inf + 0 8.006 * * [simplify]: Extracting #5: cost 10 inf + 84 8.006 * * [simplify]: Extracting #6: cost 8 inf + 166 8.006 * * [simplify]: Extracting #7: cost 5 inf + 572 8.006 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.006 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.007 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.007 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.007 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.007 * * [simplify]: iters left: 6 (9 enodes) 8.009 * * [simplify]: iters left: 5 (26 enodes) 8.016 * * [simplify]: iters left: 4 (27 enodes) 8.025 * * [simplify]: Extracting #0: cost 1 inf + 0 8.026 * * [simplify]: Extracting #1: cost 4 inf + 0 8.026 * * [simplify]: Extracting #2: cost 7 inf + 0 8.026 * * [simplify]: Extracting #3: cost 10 inf + 0 8.026 * * [simplify]: Extracting #4: cost 14 inf + 0 8.026 * * [simplify]: Extracting #5: cost 10 inf + 84 8.026 * * [simplify]: Extracting #6: cost 8 inf + 166 8.026 * * [simplify]: Extracting #7: cost 5 inf + 572 8.027 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.027 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.028 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.028 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.028 * * * * [progress]: [ 85 / 140 ] simplifiying candidate # 8.028 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.029 * * [simplify]: iters left: 6 (9 enodes) 8.033 * * [simplify]: iters left: 5 (26 enodes) 8.041 * * [simplify]: iters left: 4 (27 enodes) 8.048 * * [simplify]: Extracting #0: cost 1 inf + 0 8.048 * * [simplify]: Extracting #1: cost 4 inf + 0 8.048 * * [simplify]: Extracting #2: cost 7 inf + 0 8.048 * * [simplify]: Extracting #3: cost 10 inf + 0 8.048 * * [simplify]: Extracting #4: cost 14 inf + 0 8.048 * * [simplify]: Extracting #5: cost 10 inf + 84 8.048 * * [simplify]: Extracting #6: cost 8 inf + 166 8.049 * * [simplify]: Extracting #7: cost 5 inf + 572 8.049 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.050 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.050 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.050 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.051 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.051 * * [simplify]: iters left: 6 (9 enodes) 8.055 * * [simplify]: iters left: 5 (26 enodes) 8.062 * * [simplify]: iters left: 4 (27 enodes) 8.069 * * [simplify]: Extracting #0: cost 1 inf + 0 8.069 * * [simplify]: Extracting #1: cost 4 inf + 0 8.069 * * [simplify]: Extracting #2: cost 7 inf + 0 8.069 * * [simplify]: Extracting #3: cost 10 inf + 0 8.069 * * [simplify]: Extracting #4: cost 14 inf + 0 8.069 * * [simplify]: Extracting #5: cost 10 inf + 84 8.070 * * [simplify]: Extracting #6: cost 8 inf + 166 8.070 * * [simplify]: Extracting #7: cost 5 inf + 572 8.070 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.071 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.071 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.071 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.072 * * * * [progress]: [ 86 / 140 ] simplifiying candidate # 8.072 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 8.072 * * [simplify]: iters left: 3 (3 enodes) 8.075 * * [simplify]: iters left: 2 (9 enodes) 8.076 * * [simplify]: iters left: 1 (11 enodes) 8.078 * * [simplify]: Extracting #0: cost 1 inf + 0 8.078 * * [simplify]: Extracting #1: cost 0 inf + 1 8.078 * [simplify]: Simplified to 1 8.078 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.078 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.079 * * [simplify]: iters left: 6 (8 enodes) 8.080 * * [simplify]: iters left: 5 (23 enodes) 8.083 * * [simplify]: iters left: 4 (24 enodes) 8.087 * * [simplify]: Extracting #0: cost 1 inf + 0 8.087 * * [simplify]: Extracting #1: cost 4 inf + 0 8.087 * * [simplify]: Extracting #2: cost 8 inf + 0 8.087 * * [simplify]: Extracting #3: cost 12 inf + 0 8.087 * * [simplify]: Extracting #4: cost 10 inf + 2 8.087 * * [simplify]: Extracting #5: cost 3 inf + 572 8.087 * * [simplify]: Extracting #6: cost 0 inf + 1138 8.087 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.087 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 8.088 * * * * [progress]: [ 87 / 140 ] simplifiying candidate # 8.088 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.088 * * [simplify]: iters left: 6 (9 enodes) 8.090 * * [simplify]: iters left: 5 (26 enodes) 8.094 * * [simplify]: iters left: 4 (27 enodes) 8.097 * * [simplify]: Extracting #0: cost 1 inf + 0 8.097 * * [simplify]: Extracting #1: cost 4 inf + 0 8.097 * * [simplify]: Extracting #2: cost 7 inf + 0 8.097 * * [simplify]: Extracting #3: cost 10 inf + 0 8.097 * * [simplify]: Extracting #4: cost 14 inf + 0 8.097 * * [simplify]: Extracting #5: cost 10 inf + 84 8.098 * * [simplify]: Extracting #6: cost 8 inf + 166 8.098 * * [simplify]: Extracting #7: cost 5 inf + 572 8.098 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.098 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.098 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.098 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.099 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.099 * * [simplify]: iters left: 6 (9 enodes) 8.101 * * [simplify]: iters left: 5 (26 enodes) 8.108 * * [simplify]: iters left: 4 (27 enodes) 8.115 * * [simplify]: Extracting #0: cost 1 inf + 0 8.115 * * [simplify]: Extracting #1: cost 4 inf + 0 8.115 * * [simplify]: Extracting #2: cost 7 inf + 0 8.115 * * [simplify]: Extracting #3: cost 10 inf + 0 8.115 * * [simplify]: Extracting #4: cost 14 inf + 0 8.116 * * [simplify]: Extracting #5: cost 10 inf + 84 8.116 * * [simplify]: Extracting #6: cost 8 inf + 166 8.116 * * [simplify]: Extracting #7: cost 5 inf + 572 8.116 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.117 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.118 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.118 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.118 * * * * [progress]: [ 88 / 140 ] simplifiying candidate # 8.118 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.118 * * [simplify]: iters left: 6 (9 enodes) 8.122 * * [simplify]: iters left: 5 (26 enodes) 8.130 * * [simplify]: iters left: 4 (27 enodes) 8.137 * * [simplify]: Extracting #0: cost 1 inf + 0 8.138 * * [simplify]: Extracting #1: cost 4 inf + 0 8.138 * * [simplify]: Extracting #2: cost 7 inf + 0 8.138 * * [simplify]: Extracting #3: cost 10 inf + 0 8.138 * * [simplify]: Extracting #4: cost 14 inf + 0 8.138 * * [simplify]: Extracting #5: cost 10 inf + 84 8.138 * * [simplify]: Extracting #6: cost 8 inf + 166 8.138 * * [simplify]: Extracting #7: cost 5 inf + 572 8.139 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.139 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.140 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.140 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.140 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.140 * * [simplify]: iters left: 6 (9 enodes) 8.145 * * [simplify]: iters left: 5 (26 enodes) 8.152 * * [simplify]: iters left: 4 (27 enodes) 8.161 * * [simplify]: Extracting #0: cost 1 inf + 0 8.161 * * [simplify]: Extracting #1: cost 4 inf + 0 8.161 * * [simplify]: Extracting #2: cost 7 inf + 0 8.161 * * [simplify]: Extracting #3: cost 10 inf + 0 8.161 * * [simplify]: Extracting #4: cost 14 inf + 0 8.161 * * [simplify]: Extracting #5: cost 10 inf + 84 8.161 * * [simplify]: Extracting #6: cost 8 inf + 166 8.162 * * [simplify]: Extracting #7: cost 5 inf + 572 8.162 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.163 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.163 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.163 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.163 * * * * [progress]: [ 89 / 140 ] simplifiying candidate # 8.164 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.164 * * [simplify]: iters left: 6 (9 enodes) 8.168 * * [simplify]: iters left: 5 (26 enodes) 8.175 * * [simplify]: iters left: 4 (27 enodes) 8.182 * * [simplify]: Extracting #0: cost 1 inf + 0 8.182 * * [simplify]: Extracting #1: cost 4 inf + 0 8.182 * * [simplify]: Extracting #2: cost 7 inf + 0 8.182 * * [simplify]: Extracting #3: cost 10 inf + 0 8.182 * * [simplify]: Extracting #4: cost 14 inf + 0 8.182 * * [simplify]: Extracting #5: cost 10 inf + 84 8.182 * * [simplify]: Extracting #6: cost 8 inf + 166 8.182 * * [simplify]: Extracting #7: cost 5 inf + 572 8.183 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.183 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.184 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.184 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.184 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.184 * * [simplify]: iters left: 6 (9 enodes) 8.188 * * [simplify]: iters left: 5 (26 enodes) 8.194 * * [simplify]: iters left: 4 (27 enodes) 8.201 * * [simplify]: Extracting #0: cost 1 inf + 0 8.202 * * [simplify]: Extracting #1: cost 4 inf + 0 8.202 * * [simplify]: Extracting #2: cost 7 inf + 0 8.202 * * [simplify]: Extracting #3: cost 10 inf + 0 8.202 * * [simplify]: Extracting #4: cost 14 inf + 0 8.202 * * [simplify]: Extracting #5: cost 10 inf + 84 8.202 * * [simplify]: Extracting #6: cost 8 inf + 166 8.202 * * [simplify]: Extracting #7: cost 5 inf + 572 8.203 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.204 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.204 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.204 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.204 * * * * [progress]: [ 90 / 140 ] simplifiying candidate # 8.205 * [simplify]: Simplifying (* 1 1) 8.205 * * [simplify]: iters left: 2 (2 enodes) 8.207 * * [simplify]: iters left: 1 (6 enodes) 8.209 * * [simplify]: Extracting #0: cost 1 inf + 0 8.209 * * [simplify]: Extracting #1: cost 0 inf + 1 8.209 * [simplify]: Simplified to 1 8.209 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.210 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.210 * * [simplify]: iters left: 6 (8 enodes) 8.213 * * [simplify]: iters left: 5 (23 enodes) 8.216 * * [simplify]: iters left: 4 (24 enodes) 8.220 * * [simplify]: Extracting #0: cost 1 inf + 0 8.220 * * [simplify]: Extracting #1: cost 4 inf + 0 8.220 * * [simplify]: Extracting #2: cost 8 inf + 0 8.220 * * [simplify]: Extracting #3: cost 12 inf + 0 8.220 * * [simplify]: Extracting #4: cost 10 inf + 2 8.220 * * [simplify]: Extracting #5: cost 3 inf + 572 8.220 * * [simplify]: Extracting #6: cost 0 inf + 1138 8.220 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.220 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 8.221 * * * * [progress]: [ 91 / 140 ] simplifiying candidate # 8.221 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.221 * * [simplify]: iters left: 6 (9 enodes) 8.223 * * [simplify]: iters left: 5 (26 enodes) 8.226 * * [simplify]: iters left: 4 (27 enodes) 8.230 * * [simplify]: Extracting #0: cost 1 inf + 0 8.230 * * [simplify]: Extracting #1: cost 4 inf + 0 8.230 * * [simplify]: Extracting #2: cost 7 inf + 0 8.230 * * [simplify]: Extracting #3: cost 10 inf + 0 8.230 * * [simplify]: Extracting #4: cost 14 inf + 0 8.230 * * [simplify]: Extracting #5: cost 10 inf + 84 8.230 * * [simplify]: Extracting #6: cost 8 inf + 166 8.230 * * [simplify]: Extracting #7: cost 5 inf + 572 8.230 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.231 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.231 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.231 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.231 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.231 * * [simplify]: iters left: 6 (9 enodes) 8.233 * * [simplify]: iters left: 5 (26 enodes) 8.237 * * [simplify]: iters left: 4 (27 enodes) 8.240 * * [simplify]: Extracting #0: cost 1 inf + 0 8.240 * * [simplify]: Extracting #1: cost 4 inf + 0 8.240 * * [simplify]: Extracting #2: cost 7 inf + 0 8.240 * * [simplify]: Extracting #3: cost 10 inf + 0 8.240 * * [simplify]: Extracting #4: cost 14 inf + 0 8.240 * * [simplify]: Extracting #5: cost 10 inf + 84 8.240 * * [simplify]: Extracting #6: cost 8 inf + 166 8.240 * * [simplify]: Extracting #7: cost 5 inf + 572 8.241 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.241 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.241 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.241 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.242 * * * * [progress]: [ 92 / 140 ] simplifiying candidate # 8.242 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.242 * * [simplify]: iters left: 6 (9 enodes) 8.246 * * [simplify]: iters left: 5 (26 enodes) 8.253 * * [simplify]: iters left: 4 (27 enodes) 8.261 * * [simplify]: Extracting #0: cost 1 inf + 0 8.261 * * [simplify]: Extracting #1: cost 4 inf + 0 8.261 * * [simplify]: Extracting #2: cost 7 inf + 0 8.261 * * [simplify]: Extracting #3: cost 10 inf + 0 8.261 * * [simplify]: Extracting #4: cost 14 inf + 0 8.261 * * [simplify]: Extracting #5: cost 10 inf + 84 8.261 * * [simplify]: Extracting #6: cost 8 inf + 166 8.261 * * [simplify]: Extracting #7: cost 5 inf + 572 8.262 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.262 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.263 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.263 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.263 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.264 * * [simplify]: iters left: 6 (9 enodes) 8.267 * * [simplify]: iters left: 5 (26 enodes) 8.273 * * [simplify]: iters left: 4 (27 enodes) 8.279 * * [simplify]: Extracting #0: cost 1 inf + 0 8.279 * * [simplify]: Extracting #1: cost 4 inf + 0 8.279 * * [simplify]: Extracting #2: cost 7 inf + 0 8.279 * * [simplify]: Extracting #3: cost 10 inf + 0 8.279 * * [simplify]: Extracting #4: cost 14 inf + 0 8.279 * * [simplify]: Extracting #5: cost 10 inf + 84 8.279 * * [simplify]: Extracting #6: cost 8 inf + 166 8.281 * * [simplify]: Extracting #7: cost 5 inf + 572 8.282 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.282 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.283 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.283 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.283 * * * * [progress]: [ 93 / 140 ] simplifiying candidate # 8.283 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.283 * * [simplify]: iters left: 6 (9 enodes) 8.287 * * [simplify]: iters left: 5 (26 enodes) 8.293 * * [simplify]: iters left: 4 (27 enodes) 8.299 * * [simplify]: Extracting #0: cost 1 inf + 0 8.299 * * [simplify]: Extracting #1: cost 4 inf + 0 8.299 * * [simplify]: Extracting #2: cost 7 inf + 0 8.299 * * [simplify]: Extracting #3: cost 10 inf + 0 8.299 * * [simplify]: Extracting #4: cost 14 inf + 0 8.299 * * [simplify]: Extracting #5: cost 10 inf + 84 8.299 * * [simplify]: Extracting #6: cost 8 inf + 166 8.299 * * [simplify]: Extracting #7: cost 5 inf + 572 8.300 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.300 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.301 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.301 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.301 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.301 * * [simplify]: iters left: 6 (9 enodes) 8.305 * * [simplify]: iters left: 5 (26 enodes) 8.311 * * [simplify]: iters left: 4 (27 enodes) 8.317 * * [simplify]: Extracting #0: cost 1 inf + 0 8.317 * * [simplify]: Extracting #1: cost 4 inf + 0 8.317 * * [simplify]: Extracting #2: cost 7 inf + 0 8.317 * * [simplify]: Extracting #3: cost 10 inf + 0 8.317 * * [simplify]: Extracting #4: cost 14 inf + 0 8.317 * * [simplify]: Extracting #5: cost 10 inf + 84 8.317 * * [simplify]: Extracting #6: cost 8 inf + 166 8.318 * * [simplify]: Extracting #7: cost 5 inf + 572 8.318 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.318 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.319 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.319 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.319 * * * * [progress]: [ 94 / 140 ] simplifiying candidate # 8.319 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.320 * * [simplify]: iters left: 6 (9 enodes) 8.323 * * [simplify]: iters left: 5 (26 enodes) 8.329 * * [simplify]: iters left: 4 (27 enodes) 8.335 * * [simplify]: Extracting #0: cost 1 inf + 0 8.335 * * [simplify]: Extracting #1: cost 4 inf + 0 8.335 * * [simplify]: Extracting #2: cost 7 inf + 0 8.335 * * [simplify]: Extracting #3: cost 10 inf + 0 8.335 * * [simplify]: Extracting #4: cost 14 inf + 0 8.335 * * [simplify]: Extracting #5: cost 10 inf + 84 8.335 * * [simplify]: Extracting #6: cost 8 inf + 166 8.336 * * [simplify]: Extracting #7: cost 5 inf + 572 8.336 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.336 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.337 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.337 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.337 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.338 * * [simplify]: iters left: 6 (9 enodes) 8.341 * * [simplify]: iters left: 5 (26 enodes) 8.348 * * [simplify]: iters left: 4 (27 enodes) 8.355 * * [simplify]: Extracting #0: cost 1 inf + 0 8.355 * * [simplify]: Extracting #1: cost 4 inf + 0 8.355 * * [simplify]: Extracting #2: cost 7 inf + 0 8.355 * * [simplify]: Extracting #3: cost 10 inf + 0 8.355 * * [simplify]: Extracting #4: cost 14 inf + 0 8.355 * * [simplify]: Extracting #5: cost 10 inf + 84 8.355 * * [simplify]: Extracting #6: cost 8 inf + 166 8.355 * * [simplify]: Extracting #7: cost 5 inf + 572 8.356 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.356 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.357 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.357 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.357 * * * * [progress]: [ 95 / 140 ] simplifiying candidate # 8.358 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.358 * * [simplify]: iters left: 6 (9 enodes) 8.362 * * [simplify]: iters left: 5 (26 enodes) 8.369 * * [simplify]: iters left: 4 (27 enodes) 8.373 * * [simplify]: Extracting #0: cost 1 inf + 0 8.373 * * [simplify]: Extracting #1: cost 4 inf + 0 8.373 * * [simplify]: Extracting #2: cost 7 inf + 0 8.373 * * [simplify]: Extracting #3: cost 10 inf + 0 8.373 * * [simplify]: Extracting #4: cost 14 inf + 0 8.373 * * [simplify]: Extracting #5: cost 10 inf + 84 8.373 * * [simplify]: Extracting #6: cost 8 inf + 166 8.373 * * [simplify]: Extracting #7: cost 5 inf + 572 8.373 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.374 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.374 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.374 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.374 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.374 * * [simplify]: iters left: 6 (9 enodes) 8.376 * * [simplify]: iters left: 5 (26 enodes) 8.380 * * [simplify]: iters left: 4 (27 enodes) 8.383 * * [simplify]: Extracting #0: cost 1 inf + 0 8.383 * * [simplify]: Extracting #1: cost 4 inf + 0 8.383 * * [simplify]: Extracting #2: cost 7 inf + 0 8.383 * * [simplify]: Extracting #3: cost 10 inf + 0 8.383 * * [simplify]: Extracting #4: cost 14 inf + 0 8.383 * * [simplify]: Extracting #5: cost 10 inf + 84 8.383 * * [simplify]: Extracting #6: cost 8 inf + 166 8.384 * * [simplify]: Extracting #7: cost 5 inf + 572 8.384 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.384 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.384 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.384 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.385 * * * * [progress]: [ 96 / 140 ] simplifiying candidate # 8.385 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.385 * * [simplify]: iters left: 6 (9 enodes) 8.387 * * [simplify]: iters left: 5 (26 enodes) 8.390 * * [simplify]: iters left: 4 (27 enodes) 8.394 * * [simplify]: Extracting #0: cost 1 inf + 0 8.394 * * [simplify]: Extracting #1: cost 4 inf + 0 8.394 * * [simplify]: Extracting #2: cost 7 inf + 0 8.394 * * [simplify]: Extracting #3: cost 10 inf + 0 8.394 * * [simplify]: Extracting #4: cost 14 inf + 0 8.394 * * [simplify]: Extracting #5: cost 10 inf + 84 8.394 * * [simplify]: Extracting #6: cost 8 inf + 166 8.394 * * [simplify]: Extracting #7: cost 5 inf + 572 8.394 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.395 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.395 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.395 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.395 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.395 * * [simplify]: iters left: 6 (9 enodes) 8.399 * * [simplify]: iters left: 5 (26 enodes) 8.406 * * [simplify]: iters left: 4 (27 enodes) 8.413 * * [simplify]: Extracting #0: cost 1 inf + 0 8.414 * * [simplify]: Extracting #1: cost 4 inf + 0 8.414 * * [simplify]: Extracting #2: cost 7 inf + 0 8.414 * * [simplify]: Extracting #3: cost 10 inf + 0 8.414 * * [simplify]: Extracting #4: cost 14 inf + 0 8.414 * * [simplify]: Extracting #5: cost 10 inf + 84 8.414 * * [simplify]: Extracting #6: cost 8 inf + 166 8.414 * * [simplify]: Extracting #7: cost 5 inf + 572 8.414 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.415 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.415 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.415 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.415 * * * * [progress]: [ 97 / 140 ] simplifiying candidate # 8.415 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.415 * * [simplify]: iters left: 6 (9 enodes) 8.418 * * [simplify]: iters left: 5 (26 enodes) 8.421 * * [simplify]: iters left: 4 (27 enodes) 8.425 * * [simplify]: Extracting #0: cost 1 inf + 0 8.425 * * [simplify]: Extracting #1: cost 4 inf + 0 8.425 * * [simplify]: Extracting #2: cost 7 inf + 0 8.425 * * [simplify]: Extracting #3: cost 10 inf + 0 8.425 * * [simplify]: Extracting #4: cost 14 inf + 0 8.425 * * [simplify]: Extracting #5: cost 10 inf + 84 8.425 * * [simplify]: Extracting #6: cost 8 inf + 166 8.425 * * [simplify]: Extracting #7: cost 5 inf + 572 8.425 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.426 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.426 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.426 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.426 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.426 * * [simplify]: iters left: 6 (9 enodes) 8.428 * * [simplify]: iters left: 5 (26 enodes) 8.432 * * [simplify]: iters left: 4 (27 enodes) 8.437 * * [simplify]: Extracting #0: cost 1 inf + 0 8.438 * * [simplify]: Extracting #1: cost 4 inf + 0 8.438 * * [simplify]: Extracting #2: cost 7 inf + 0 8.438 * * [simplify]: Extracting #3: cost 10 inf + 0 8.438 * * [simplify]: Extracting #4: cost 14 inf + 0 8.438 * * [simplify]: Extracting #5: cost 10 inf + 84 8.438 * * [simplify]: Extracting #6: cost 8 inf + 166 8.438 * * [simplify]: Extracting #7: cost 5 inf + 572 8.439 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.439 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.440 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.440 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.440 * * * * [progress]: [ 98 / 140 ] simplifiying candidate # 8.440 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.440 * * [simplify]: iters left: 6 (9 enodes) 8.444 * * [simplify]: iters left: 5 (26 enodes) 8.451 * * [simplify]: iters left: 4 (27 enodes) 8.459 * * [simplify]: Extracting #0: cost 1 inf + 0 8.459 * * [simplify]: Extracting #1: cost 4 inf + 0 8.459 * * [simplify]: Extracting #2: cost 7 inf + 0 8.459 * * [simplify]: Extracting #3: cost 10 inf + 0 8.459 * * [simplify]: Extracting #4: cost 14 inf + 0 8.459 * * [simplify]: Extracting #5: cost 10 inf + 84 8.459 * * [simplify]: Extracting #6: cost 8 inf + 166 8.459 * * [simplify]: Extracting #7: cost 5 inf + 572 8.460 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.460 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.461 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.461 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.462 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.462 * * [simplify]: iters left: 6 (9 enodes) 8.466 * * [simplify]: iters left: 5 (26 enodes) 8.473 * * [simplify]: iters left: 4 (27 enodes) 8.479 * * [simplify]: Extracting #0: cost 1 inf + 0 8.479 * * [simplify]: Extracting #1: cost 4 inf + 0 8.479 * * [simplify]: Extracting #2: cost 7 inf + 0 8.479 * * [simplify]: Extracting #3: cost 10 inf + 0 8.479 * * [simplify]: Extracting #4: cost 14 inf + 0 8.479 * * [simplify]: Extracting #5: cost 10 inf + 84 8.479 * * [simplify]: Extracting #6: cost 8 inf + 166 8.479 * * [simplify]: Extracting #7: cost 5 inf + 572 8.480 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.480 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.481 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.481 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.481 * * * * [progress]: [ 99 / 140 ] simplifiying candidate # 8.481 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.481 * * [simplify]: iters left: 6 (9 enodes) 8.484 * * [simplify]: iters left: 5 (26 enodes) 8.491 * * [simplify]: iters left: 4 (27 enodes) 8.496 * * [simplify]: Extracting #0: cost 1 inf + 0 8.496 * * [simplify]: Extracting #1: cost 4 inf + 0 8.496 * * [simplify]: Extracting #2: cost 7 inf + 0 8.496 * * [simplify]: Extracting #3: cost 10 inf + 0 8.497 * * [simplify]: Extracting #4: cost 14 inf + 0 8.497 * * [simplify]: Extracting #5: cost 10 inf + 84 8.497 * * [simplify]: Extracting #6: cost 8 inf + 166 8.497 * * [simplify]: Extracting #7: cost 5 inf + 572 8.497 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.498 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.498 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.498 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.499 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.499 * * [simplify]: iters left: 6 (9 enodes) 8.502 * * [simplify]: iters left: 5 (26 enodes) 8.508 * * [simplify]: iters left: 4 (27 enodes) 8.514 * * [simplify]: Extracting #0: cost 1 inf + 0 8.514 * * [simplify]: Extracting #1: cost 4 inf + 0 8.514 * * [simplify]: Extracting #2: cost 7 inf + 0 8.514 * * [simplify]: Extracting #3: cost 10 inf + 0 8.514 * * [simplify]: Extracting #4: cost 14 inf + 0 8.514 * * [simplify]: Extracting #5: cost 10 inf + 84 8.514 * * [simplify]: Extracting #6: cost 8 inf + 166 8.514 * * [simplify]: Extracting #7: cost 5 inf + 572 8.515 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.515 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.516 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.516 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.516 * * * * [progress]: [ 100 / 140 ] simplifiying candidate # 8.516 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 8.516 * * [simplify]: iters left: 5 (6 enodes) 8.519 * * [simplify]: iters left: 4 (19 enodes) 8.524 * * [simplify]: Extracting #0: cost 1 inf + 0 8.524 * * [simplify]: Extracting #1: cost 3 inf + 0 8.525 * * [simplify]: Extracting #2: cost 6 inf + 0 8.525 * * [simplify]: Extracting #3: cost 10 inf + 0 8.525 * * [simplify]: Extracting #4: cost 6 inf + 84 8.525 * * [simplify]: Extracting #5: cost 0 inf + 734 8.525 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.525 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re))))) 8.526 * [simplify]: Simplifying (* 2 1/2) 8.526 * * [simplify]: iters left: 2 (3 enodes) 8.530 * * [simplify]: iters left: 1 (11 enodes) 8.535 * * [simplify]: Extracting #0: cost 1 inf + 0 8.535 * * [simplify]: Extracting #1: cost 0 inf + 1 8.535 * [simplify]: Simplified to 1 8.535 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 8.535 * * * * [progress]: [ 101 / 140 ] simplifiying candidate # 8.535 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.535 * * [simplify]: iters left: 6 (7 enodes) 8.538 * * [simplify]: iters left: 5 (22 enodes) 8.544 * * [simplify]: Extracting #0: cost 1 inf + 0 8.545 * * [simplify]: Extracting #1: cost 3 inf + 0 8.545 * * [simplify]: Extracting #2: cost 5 inf + 0 8.545 * * [simplify]: Extracting #3: cost 8 inf + 0 8.545 * * [simplify]: Extracting #4: cost 12 inf + 0 8.545 * * [simplify]: Extracting #5: cost 10 inf + 2 8.545 * * [simplify]: Extracting #6: cost 1 inf + 936 8.545 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.546 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.546 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re))))) 8.546 * [simplify]: Simplifying (* 2 1) 8.546 * * [simplify]: iters left: 2 (3 enodes) 8.549 * * [simplify]: iters left: 1 (9 enodes) 8.552 * * [simplify]: Extracting #0: cost 1 inf + 0 8.552 * * [simplify]: Extracting #1: cost 0 inf + 1 8.552 * [simplify]: Simplified to 2 8.552 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 8.552 * * * * [progress]: [ 102 / 140 ] simplifiying candidate # 8.552 * [simplify]: Simplifying (+ (* re re) (* im im)) 8.552 * * [simplify]: iters left: 4 (5 enodes) 8.555 * * [simplify]: iters left: 3 (16 enodes) 8.559 * * [simplify]: Extracting #0: cost 1 inf + 0 8.559 * * [simplify]: Extracting #1: cost 4 inf + 0 8.559 * * [simplify]: Extracting #2: cost 8 inf + 0 8.559 * * [simplify]: Extracting #3: cost 4 inf + 84 8.559 * * [simplify]: Extracting #4: cost 0 inf + 410 8.559 * [simplify]: Simplified to (+ (* re re) (* im im)) 8.559 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re))))) 8.560 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 8.560 * * [simplify]: iters left: 4 (4 enodes) 8.566 * * [simplify]: iters left: 3 (17 enodes) 8.571 * * [simplify]: iters left: 2 (21 enodes) 8.577 * * [simplify]: iters left: 1 (23 enodes) 8.583 * * [simplify]: Extracting #0: cost 1 inf + 0 8.583 * * [simplify]: Extracting #1: cost 0 inf + 1 8.583 * [simplify]: Simplified to 1/2 8.583 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 8.584 * * * * [progress]: [ 103 / 140 ] simplifiying candidate # 8.584 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 8.584 * * [simplify]: iters left: 5 (6 enodes) 8.586 * * [simplify]: iters left: 4 (19 enodes) 8.588 * * [simplify]: Extracting #0: cost 1 inf + 0 8.588 * * [simplify]: Extracting #1: cost 3 inf + 0 8.589 * * [simplify]: Extracting #2: cost 6 inf + 0 8.589 * * [simplify]: Extracting #3: cost 10 inf + 0 8.589 * * [simplify]: Extracting #4: cost 6 inf + 84 8.589 * * [simplify]: Extracting #5: cost 0 inf + 734 8.589 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.589 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re))))) 8.589 * [simplify]: Simplifying (* 2 (/ 1 2)) 8.589 * * [simplify]: iters left: 4 (4 enodes) 8.592 * * [simplify]: iters left: 3 (13 enodes) 8.595 * * [simplify]: iters left: 2 (15 enodes) 8.598 * * [simplify]: Extracting #0: cost 1 inf + 0 8.598 * * [simplify]: Extracting #1: cost 0 inf + 1 8.598 * [simplify]: Simplified to 1 8.598 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 8.598 * * * * [progress]: [ 104 / 140 ] simplifiying candidate # 8.598 * [simplify]: Simplifying (+ (* re re) (* im im)) 8.598 * * [simplify]: iters left: 4 (5 enodes) 8.599 * * [simplify]: iters left: 3 (16 enodes) 8.601 * * [simplify]: Extracting #0: cost 1 inf + 0 8.601 * * [simplify]: Extracting #1: cost 4 inf + 0 8.601 * * [simplify]: Extracting #2: cost 8 inf + 0 8.601 * * [simplify]: Extracting #3: cost 4 inf + 84 8.601 * * [simplify]: Extracting #4: cost 0 inf + 410 8.602 * [simplify]: Simplified to (+ (* re re) (* im im)) 8.602 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re))))) 8.602 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 8.602 * * [simplify]: iters left: 6 (5 enodes) 8.606 * * [simplify]: iters left: 5 (25 enodes) 8.610 * * [simplify]: iters left: 4 (29 enodes) 8.614 * * [simplify]: Extracting #0: cost 1 inf + 0 8.614 * * [simplify]: Extracting #1: cost 0 inf + 1 8.614 * [simplify]: Simplified to 1/2 8.614 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re))))) 8.614 * * * * [progress]: [ 105 / 140 ] simplifiying candidate # 8.614 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.614 * * [simplify]: iters left: 6 (8 enodes) 8.616 * * [simplify]: iters left: 5 (25 enodes) 8.619 * * [simplify]: Extracting #0: cost 1 inf + 0 8.619 * * [simplify]: Extracting #1: cost 3 inf + 0 8.619 * * [simplify]: Extracting #2: cost 5 inf + 0 8.619 * * [simplify]: Extracting #3: cost 7 inf + 0 8.619 * * [simplify]: Extracting #4: cost 10 inf + 0 8.619 * * [simplify]: Extracting #5: cost 14 inf + 0 8.619 * * [simplify]: Extracting #6: cost 11 inf + 43 8.619 * * [simplify]: Extracting #7: cost 9 inf + 125 8.620 * * [simplify]: Extracting #8: cost 5 inf + 572 8.620 * * [simplify]: Extracting #9: cost 1 inf + 1420 8.620 * * [simplify]: Extracting #10: cost 0 inf + 1702 8.620 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.620 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.620 * * * * [progress]: [ 106 / 140 ] simplifiying candidate # 8.621 * [simplify]: Simplifying (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 8.621 * * [simplify]: iters left: 6 (8 enodes) 8.622 * * [simplify]: iters left: 5 (25 enodes) 8.626 * * [simplify]: Extracting #0: cost 1 inf + 0 8.626 * * [simplify]: Extracting #1: cost 3 inf + 0 8.626 * * [simplify]: Extracting #2: cost 5 inf + 0 8.626 * * [simplify]: Extracting #3: cost 7 inf + 0 8.626 * * [simplify]: Extracting #4: cost 10 inf + 0 8.626 * * [simplify]: Extracting #5: cost 14 inf + 0 8.626 * * [simplify]: Extracting #6: cost 11 inf + 43 8.626 * * [simplify]: Extracting #7: cost 9 inf + 125 8.626 * * [simplify]: Extracting #8: cost 5 inf + 572 8.626 * * [simplify]: Extracting #9: cost 1 inf + 1500 8.627 * * [simplify]: Extracting #10: cost 0 inf + 1782 8.627 * [simplify]: Simplified to (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 8.627 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.627 * * * * [progress]: [ 107 / 140 ] simplifiying candidate # 8.627 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 8.627 * * [simplify]: iters left: 6 (8 enodes) 8.629 * * [simplify]: iters left: 5 (25 enodes) 8.632 * * [simplify]: Extracting #0: cost 1 inf + 0 8.632 * * [simplify]: Extracting #1: cost 3 inf + 0 8.632 * * [simplify]: Extracting #2: cost 5 inf + 0 8.633 * * [simplify]: Extracting #3: cost 7 inf + 0 8.633 * * [simplify]: Extracting #4: cost 10 inf + 0 8.633 * * [simplify]: Extracting #5: cost 14 inf + 0 8.633 * * [simplify]: Extracting #6: cost 11 inf + 43 8.633 * * [simplify]: Extracting #7: cost 9 inf + 125 8.633 * * [simplify]: Extracting #8: cost 5 inf + 612 8.633 * * [simplify]: Extracting #9: cost 1 inf + 1580 8.633 * * [simplify]: Extracting #10: cost 0 inf + 1862 8.634 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 8.634 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 8.634 * * * * [progress]: [ 108 / 140 ] simplifiying candidate # 8.634 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.634 * * [simplify]: iters left: 6 (8 enodes) 8.636 * * [simplify]: iters left: 5 (25 enodes) 8.642 * * [simplify]: Extracting #0: cost 1 inf + 0 8.642 * * [simplify]: Extracting #1: cost 3 inf + 0 8.642 * * [simplify]: Extracting #2: cost 5 inf + 0 8.642 * * [simplify]: Extracting #3: cost 7 inf + 0 8.642 * * [simplify]: Extracting #4: cost 10 inf + 0 8.642 * * [simplify]: Extracting #5: cost 14 inf + 0 8.642 * * [simplify]: Extracting #6: cost 11 inf + 43 8.642 * * [simplify]: Extracting #7: cost 9 inf + 125 8.642 * * [simplify]: Extracting #8: cost 5 inf + 572 8.643 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.643 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.643 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.643 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.643 * * * * [progress]: [ 109 / 140 ] simplifiying candidate # 8.644 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.644 * * [simplify]: iters left: 6 (7 enodes) 8.645 * * [simplify]: iters left: 5 (22 enodes) 8.648 * * [simplify]: Extracting #0: cost 1 inf + 0 8.648 * * [simplify]: Extracting #1: cost 3 inf + 0 8.648 * * [simplify]: Extracting #2: cost 5 inf + 0 8.648 * * [simplify]: Extracting #3: cost 8 inf + 0 8.648 * * [simplify]: Extracting #4: cost 12 inf + 0 8.648 * * [simplify]: Extracting #5: cost 10 inf + 2 8.648 * * [simplify]: Extracting #6: cost 1 inf + 936 8.649 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.649 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.649 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.649 * * * * [progress]: [ 110 / 140 ] simplifiying candidate # 8.649 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.649 * * [simplify]: iters left: 6 (8 enodes) 8.651 * * [simplify]: iters left: 5 (25 enodes) 8.656 * * [simplify]: Extracting #0: cost 1 inf + 0 8.656 * * [simplify]: Extracting #1: cost 3 inf + 0 8.656 * * [simplify]: Extracting #2: cost 5 inf + 0 8.656 * * [simplify]: Extracting #3: cost 7 inf + 0 8.656 * * [simplify]: Extracting #4: cost 10 inf + 0 8.656 * * [simplify]: Extracting #5: cost 14 inf + 0 8.656 * * [simplify]: Extracting #6: cost 11 inf + 43 8.656 * * [simplify]: Extracting #7: cost 9 inf + 125 8.656 * * [simplify]: Extracting #8: cost 5 inf + 572 8.657 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.657 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.658 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.658 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.658 * * * * [progress]: [ 111 / 140 ] simplifiying candidate # 8.658 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.659 * * [simplify]: iters left: 6 (7 enodes) 8.662 * * [simplify]: iters left: 5 (22 enodes) 8.668 * * [simplify]: Extracting #0: cost 1 inf + 0 8.668 * * [simplify]: Extracting #1: cost 3 inf + 0 8.668 * * [simplify]: Extracting #2: cost 5 inf + 0 8.668 * * [simplify]: Extracting #3: cost 8 inf + 0 8.668 * * [simplify]: Extracting #4: cost 12 inf + 0 8.668 * * [simplify]: Extracting #5: cost 10 inf + 2 8.669 * * [simplify]: Extracting #6: cost 1 inf + 936 8.669 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.670 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.670 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.670 * * * * [progress]: [ 112 / 140 ] simplifiying candidate # 8.670 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.670 * * [simplify]: iters left: 6 (8 enodes) 8.674 * * [simplify]: iters left: 5 (25 enodes) 8.681 * * [simplify]: Extracting #0: cost 1 inf + 0 8.681 * * [simplify]: Extracting #1: cost 3 inf + 0 8.681 * * [simplify]: Extracting #2: cost 5 inf + 0 8.681 * * [simplify]: Extracting #3: cost 7 inf + 0 8.681 * * [simplify]: Extracting #4: cost 10 inf + 0 8.681 * * [simplify]: Extracting #5: cost 14 inf + 0 8.681 * * [simplify]: Extracting #6: cost 11 inf + 43 8.681 * * [simplify]: Extracting #7: cost 9 inf + 125 8.682 * * [simplify]: Extracting #8: cost 5 inf + 572 8.682 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.682 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.683 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.683 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.683 * * * * [progress]: [ 113 / 140 ] simplifiying candidate # 8.684 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.684 * * [simplify]: iters left: 6 (7 enodes) 8.687 * * [simplify]: iters left: 5 (22 enodes) 8.693 * * [simplify]: Extracting #0: cost 1 inf + 0 8.693 * * [simplify]: Extracting #1: cost 3 inf + 0 8.693 * * [simplify]: Extracting #2: cost 5 inf + 0 8.693 * * [simplify]: Extracting #3: cost 8 inf + 0 8.693 * * [simplify]: Extracting #4: cost 12 inf + 0 8.693 * * [simplify]: Extracting #5: cost 10 inf + 2 8.694 * * [simplify]: Extracting #6: cost 1 inf + 936 8.694 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.694 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.694 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.695 * * * * [progress]: [ 114 / 140 ] simplifiying candidate # 8.695 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.695 * * [simplify]: iters left: 6 (9 enodes) 8.699 * * [simplify]: iters left: 5 (28 enodes) 8.707 * * [simplify]: Extracting #0: cost 1 inf + 0 8.707 * * [simplify]: Extracting #1: cost 3 inf + 0 8.707 * * [simplify]: Extracting #2: cost 5 inf + 0 8.707 * * [simplify]: Extracting #3: cost 7 inf + 0 8.707 * * [simplify]: Extracting #4: cost 9 inf + 0 8.707 * * [simplify]: Extracting #5: cost 12 inf + 0 8.707 * * [simplify]: Extracting #6: cost 16 inf + 0 8.707 * * [simplify]: Extracting #7: cost 12 inf + 84 8.707 * * [simplify]: Extracting #8: cost 10 inf + 166 8.708 * * [simplify]: Extracting #9: cost 7 inf + 572 8.708 * * [simplify]: Extracting #10: cost 4 inf + 1218 8.709 * * [simplify]: Extracting #11: cost 1 inf + 2024 8.709 * * [simplify]: Extracting #12: cost 0 inf + 2346 8.710 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.710 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.710 * * * * [progress]: [ 115 / 140 ] simplifiying candidate # 8.710 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 8.711 * * [simplify]: iters left: 6 (9 enodes) 8.715 * * [simplify]: iters left: 5 (29 enodes) 8.722 * * [simplify]: Extracting #0: cost 1 inf + 0 8.722 * * [simplify]: Extracting #1: cost 4 inf + 0 8.722 * * [simplify]: Extracting #2: cost 7 inf + 0 8.723 * * [simplify]: Extracting #3: cost 9 inf + 0 8.723 * * [simplify]: Extracting #4: cost 12 inf + 0 8.723 * * [simplify]: Extracting #5: cost 16 inf + 0 8.723 * * [simplify]: Extracting #6: cost 13 inf + 43 8.723 * * [simplify]: Extracting #7: cost 11 inf + 125 8.723 * * [simplify]: Extracting #8: cost 7 inf + 572 8.724 * * [simplify]: Extracting #9: cost 1 inf + 2064 8.724 * * [simplify]: Extracting #10: cost 0 inf + 2346 8.725 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ (* re re) (* im im))))) 8.725 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.725 * * * * [progress]: [ 116 / 140 ] simplifiying candidate # 8.726 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 8.726 * * [simplify]: iters left: 6 (9 enodes) 8.730 * * [simplify]: iters left: 5 (29 enodes) 8.738 * * [simplify]: Extracting #0: cost 1 inf + 0 8.738 * * [simplify]: Extracting #1: cost 3 inf + 0 8.738 * * [simplify]: Extracting #2: cost 6 inf + 0 8.738 * * [simplify]: Extracting #3: cost 9 inf + 0 8.738 * * [simplify]: Extracting #4: cost 12 inf + 0 8.738 * * [simplify]: Extracting #5: cost 16 inf + 0 8.738 * * [simplify]: Extracting #6: cost 13 inf + 43 8.738 * * [simplify]: Extracting #7: cost 11 inf + 125 8.739 * * [simplify]: Extracting #8: cost 6 inf + 854 8.739 * * [simplify]: Extracting #9: cost 0 inf + 2346 8.740 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 8.740 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.740 * * * * [progress]: [ 117 / 140 ] simplifiying candidate # 8.741 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.741 * * [simplify]: iters left: 6 (8 enodes) 8.744 * * [simplify]: iters left: 5 (25 enodes) 8.751 * * [simplify]: Extracting #0: cost 1 inf + 0 8.751 * * [simplify]: Extracting #1: cost 3 inf + 0 8.751 * * [simplify]: Extracting #2: cost 5 inf + 0 8.752 * * [simplify]: Extracting #3: cost 7 inf + 0 8.752 * * [simplify]: Extracting #4: cost 10 inf + 0 8.752 * * [simplify]: Extracting #5: cost 14 inf + 0 8.752 * * [simplify]: Extracting #6: cost 11 inf + 43 8.752 * * [simplify]: Extracting #7: cost 9 inf + 125 8.752 * * [simplify]: Extracting #8: cost 5 inf + 572 8.753 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.753 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.754 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.754 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.754 * * * * [progress]: [ 118 / 140 ] simplifiying candidate # 8.754 * [simplify]: Simplifying (sqrt (sqrt 1)) 8.754 * * [simplify]: iters left: 2 (3 enodes) 8.760 * * [simplify]: iters left: 1 (11 enodes) 8.763 * * [simplify]: Extracting #0: cost 1 inf + 0 8.763 * * [simplify]: Extracting #1: cost 0 inf + 1 8.763 * [simplify]: Simplified to 1 8.763 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.764 * * * * [progress]: [ 119 / 140 ] simplifiying candidate # 8.764 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.764 * * [simplify]: iters left: 6 (8 enodes) 8.768 * * [simplify]: iters left: 5 (25 enodes) 8.775 * * [simplify]: Extracting #0: cost 1 inf + 0 8.775 * * [simplify]: Extracting #1: cost 3 inf + 0 8.775 * * [simplify]: Extracting #2: cost 5 inf + 0 8.775 * * [simplify]: Extracting #3: cost 7 inf + 0 8.775 * * [simplify]: Extracting #4: cost 10 inf + 0 8.775 * * [simplify]: Extracting #5: cost 14 inf + 0 8.775 * * [simplify]: Extracting #6: cost 11 inf + 43 8.775 * * [simplify]: Extracting #7: cost 9 inf + 125 8.776 * * [simplify]: Extracting #8: cost 5 inf + 572 8.776 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.777 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.777 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.777 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.777 * * * * [progress]: [ 120 / 140 ] simplifiying candidate # 8.778 * [simplify]: Simplifying (sqrt 1) 8.778 * * [simplify]: iters left: 1 (2 enodes) 8.781 * * [simplify]: Extracting #0: cost 1 inf + 0 8.781 * * [simplify]: Extracting #1: cost 0 inf + 1 8.781 * [simplify]: Simplified to 1 8.781 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.781 * * * * [progress]: [ 121 / 140 ] simplifiying candidate # 8.781 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.781 * * [simplify]: iters left: 6 (8 enodes) 8.785 * * [simplify]: iters left: 5 (25 enodes) 8.794 * * [simplify]: Extracting #0: cost 1 inf + 0 8.794 * * [simplify]: Extracting #1: cost 3 inf + 0 8.794 * * [simplify]: Extracting #2: cost 5 inf + 0 8.794 * * [simplify]: Extracting #3: cost 7 inf + 0 8.794 * * [simplify]: Extracting #4: cost 10 inf + 0 8.794 * * [simplify]: Extracting #5: cost 14 inf + 0 8.794 * * [simplify]: Extracting #6: cost 11 inf + 43 8.794 * * [simplify]: Extracting #7: cost 9 inf + 125 8.795 * * [simplify]: Extracting #8: cost 5 inf + 572 8.795 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.796 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.796 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.796 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.796 * * * * [progress]: [ 122 / 140 ] simplifiying candidate # 8.797 * * * * [progress]: [ 123 / 140 ] simplifiying candidate # 8.797 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) 8.797 * * [simplify]: iters left: 6 (11 enodes) 8.803 * * [simplify]: iters left: 5 (55 enodes) 8.823 * * [simplify]: iters left: 4 (122 enodes) 8.871 * * [simplify]: iters left: 3 (237 enodes) 8.928 * * [simplify]: iters left: 2 (369 enodes) 9.031 * * [simplify]: Extracting #0: cost 1 inf + 0 9.031 * * [simplify]: Extracting #1: cost 3 inf + 0 9.031 * * [simplify]: Extracting #2: cost 5 inf + 0 9.031 * * [simplify]: Extracting #3: cost 24 inf + 0 9.031 * * [simplify]: Extracting #4: cost 150 inf + 0 9.032 * * [simplify]: Extracting #5: cost 205 inf + 2347 9.035 * * [simplify]: Extracting #6: cost 111 inf + 15919 9.045 * * [simplify]: Extracting #7: cost 7 inf + 34109 9.052 * * [simplify]: Extracting #8: cost 0 inf + 35684 9.059 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) 9.059 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))))) re))))) 9.060 * * * * [progress]: [ 124 / 140 ] simplifiying candidate # 9.060 * [simplify]: Simplifying (sqrt (sqrt (- (* re re) (* im im)))) 9.060 * * [simplify]: iters left: 6 (7 enodes) 9.062 * * [simplify]: iters left: 5 (26 enodes) 9.070 * * [simplify]: iters left: 4 (39 enodes) 9.081 * * [simplify]: iters left: 3 (56 enodes) 9.098 * * [simplify]: iters left: 2 (97 enodes) 9.132 * * [simplify]: iters left: 1 (180 enodes) 9.171 * * [simplify]: Extracting #0: cost 1 inf + 0 9.171 * * [simplify]: Extracting #1: cost 3 inf + 0 9.171 * * [simplify]: Extracting #2: cost 5 inf + 0 9.172 * * [simplify]: Extracting #3: cost 25 inf + 0 9.172 * * [simplify]: Extracting #4: cost 59 inf + 0 9.172 * * [simplify]: Extracting #5: cost 53 inf + 290 9.173 * * [simplify]: Extracting #6: cost 20 inf + 3831 9.174 * * [simplify]: Extracting #7: cost 2 inf + 6067 9.176 * * [simplify]: Extracting #8: cost 0 inf + 6311 9.177 * [simplify]: Simplified to (sqrt (sqrt (- (* re re) (* im im)))) 9.177 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 9.178 * * * * [progress]: [ 125 / 140 ] simplifiying candidate # 9.178 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) 9.178 * * [simplify]: iters left: 6 (14 enodes) 9.182 * * [simplify]: iters left: 5 (62 enodes) 9.208 * * [simplify]: iters left: 4 (117 enodes) 9.261 * * [simplify]: iters left: 3 (215 enodes) 9.346 * * [simplify]: iters left: 2 (409 enodes) 9.519 * * [simplify]: Extracting #0: cost 1 inf + 0 9.519 * * [simplify]: Extracting #1: cost 4 inf + 0 9.520 * * [simplify]: Extracting #2: cost 8 inf + 0 9.520 * * [simplify]: Extracting #3: cost 12 inf + 0 9.520 * * [simplify]: Extracting #4: cost 18 inf + 0 9.520 * * [simplify]: Extracting #5: cost 75 inf + 0 9.521 * * [simplify]: Extracting #6: cost 171 inf + 632 9.523 * * [simplify]: Extracting #7: cost 162 inf + 4324 9.529 * * [simplify]: Extracting #8: cost 79 inf + 32315 9.539 * * [simplify]: Extracting #9: cost 8 inf + 63125 9.551 * * [simplify]: Extracting #10: cost 0 inf + 67240 9.557 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 9.558 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re))))) 9.558 * * * * [progress]: [ 126 / 140 ] simplifiying candidate # 9.558 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 9.558 * * [simplify]: iters left: 6 (13 enodes) 9.561 * * [simplify]: iters left: 5 (53 enodes) 9.569 * * [simplify]: iters left: 4 (80 enodes) 9.583 * * [simplify]: iters left: 3 (136 enodes) 9.619 * * [simplify]: iters left: 2 (291 enodes) 9.769 * * [simplify]: Extracting #0: cost 1 inf + 0 9.769 * * [simplify]: Extracting #1: cost 4 inf + 0 9.769 * * [simplify]: Extracting #2: cost 8 inf + 0 9.769 * * [simplify]: Extracting #3: cost 12 inf + 0 9.769 * * [simplify]: Extracting #4: cost 61 inf + 0 9.770 * * [simplify]: Extracting #5: cost 160 inf + 0 9.770 * * [simplify]: Extracting #6: cost 201 inf + 1018 9.774 * * [simplify]: Extracting #7: cost 86 inf + 19610 9.785 * * [simplify]: Extracting #8: cost 8 inf + 36437 9.799 * * [simplify]: Extracting #9: cost 0 inf + 38305 9.807 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 9.807 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 9.807 * * * * [progress]: [ 127 / 140 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 9.807 * * * * [progress]: [ 128 / 140 ] simplifiying candidate # 9.808 * * * * [progress]: [ 129 / 140 ] simplifiying candidate # 9.808 * [simplify]: Simplifying im 9.808 * * [simplify]: iters left: 0 (1 enodes) 9.808 * * [simplify]: Extracting #0: cost 1 inf + 0 9.808 * * [simplify]: Extracting #1: cost 0 inf + 1 9.808 * [simplify]: Simplified to im 9.808 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))))) 9.808 * * * * [progress]: [ 130 / 140 ] simplifiying candidate # 9.808 * [simplify]: Simplifying re 9.808 * * [simplify]: iters left: 0 (1 enodes) 9.809 * * [simplify]: Extracting #0: cost 1 inf + 0 9.809 * * [simplify]: Extracting #1: cost 0 inf + 1 9.809 * [simplify]: Simplified to re 9.809 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))))) 9.809 * * * * [progress]: [ 131 / 140 ] simplifiying candidate # 9.809 * [simplify]: Simplifying (* -1 re) 9.809 * * [simplify]: iters left: 2 (3 enodes) 9.810 * * [simplify]: iters left: 1 (11 enodes) 9.812 * * [simplify]: Extracting #0: cost 1 inf + 0 9.812 * * [simplify]: Extracting #1: cost 4 inf + 0 9.812 * * [simplify]: Extracting #2: cost 0 inf + 84 9.812 * [simplify]: Simplified to (- re) 9.812 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))))) 9.812 * * * * [progress]: [ 132 / 140 ] simplifiying candidate # 9.812 * [simplify]: Simplifying im 9.812 * * [simplify]: iters left: 0 (1 enodes) 9.813 * * [simplify]: Extracting #0: cost 1 inf + 0 9.813 * * [simplify]: Extracting #1: cost 0 inf + 1 9.813 * [simplify]: Simplified to im 9.813 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.813 * * * * [progress]: [ 133 / 140 ] simplifiying candidate # 9.813 * [simplify]: Simplifying re 9.813 * * [simplify]: iters left: 0 (1 enodes) 9.813 * * [simplify]: Extracting #0: cost 1 inf + 0 9.813 * * [simplify]: Extracting #1: cost 0 inf + 1 9.813 * [simplify]: Simplified to re 9.813 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.813 * * * * [progress]: [ 134 / 140 ] simplifiying candidate # 9.813 * [simplify]: Simplifying (* -1 re) 9.814 * * [simplify]: iters left: 2 (3 enodes) 9.815 * * [simplify]: iters left: 1 (11 enodes) 9.816 * * [simplify]: Extracting #0: cost 1 inf + 0 9.817 * * [simplify]: Extracting #1: cost 4 inf + 0 9.817 * * [simplify]: Extracting #2: cost 0 inf + 84 9.817 * [simplify]: Simplified to (- re) 9.817 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.817 * * * * [progress]: [ 135 / 140 ] simplifiying candidate # 9.817 * [simplify]: Simplifying (+ re im) 9.817 * * [simplify]: iters left: 2 (3 enodes) 9.818 * * [simplify]: iters left: 1 (10 enodes) 9.819 * * [simplify]: Extracting #0: cost 1 inf + 0 9.819 * * [simplify]: Extracting #1: cost 4 inf + 0 9.819 * * [simplify]: Extracting #2: cost 2 inf + 2 9.819 * * [simplify]: Extracting #3: cost 0 inf + 86 9.819 * [simplify]: Simplified to (+ im re) 9.819 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 9.819 * * * * [progress]: [ 136 / 140 ] simplifiying candidate # 9.819 * [simplify]: Simplifying (* 2 re) 9.819 * * [simplify]: iters left: 2 (3 enodes) 9.820 * * [simplify]: iters left: 1 (10 enodes) 9.822 * * [simplify]: Extracting #0: cost 1 inf + 0 9.822 * * [simplify]: Extracting #1: cost 4 inf + 0 9.822 * * [simplify]: Extracting #2: cost 2 inf + 2 9.822 * * [simplify]: Extracting #3: cost 0 inf + 86 9.822 * [simplify]: Simplified to (* 2 re) 9.822 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 9.822 * * * * [progress]: [ 137 / 140 ] simplifiying candidate # 9.822 * [simplify]: Simplifying 0 9.822 * * [simplify]: iters left: 0 (1 enodes) 9.823 * * [simplify]: Extracting #0: cost 1 inf + 0 9.823 * * [simplify]: Extracting #1: cost 0 inf + 1 9.823 * [simplify]: Simplified to 0 9.823 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 9.823 * * * * [progress]: [ 138 / 140 ] simplifiying candidate # 9.823 * [simplify]: Simplifying im 9.823 * * [simplify]: iters left: 0 (1 enodes) 9.824 * * [simplify]: Extracting #0: cost 1 inf + 0 9.824 * * [simplify]: Extracting #1: cost 0 inf + 1 9.824 * [simplify]: Simplified to im 9.824 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 9.824 * * * * [progress]: [ 139 / 140 ] simplifiying candidate # 9.824 * [simplify]: Simplifying re 9.824 * * [simplify]: iters left: 0 (1 enodes) 9.824 * * [simplify]: Extracting #0: cost 1 inf + 0 9.824 * * [simplify]: Extracting #1: cost 0 inf + 1 9.824 * [simplify]: Simplified to re 9.824 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 9.824 * * * * [progress]: [ 140 / 140 ] simplifiying candidate # 9.824 * [simplify]: Simplifying (* -1 re) 9.824 * * [simplify]: iters left: 2 (3 enodes) 9.825 * * [simplify]: iters left: 1 (11 enodes) 9.827 * * [simplify]: Extracting #0: cost 1 inf + 0 9.827 * * [simplify]: Extracting #1: cost 4 inf + 0 9.827 * * [simplify]: Extracting #2: cost 0 inf + 84 9.827 * [simplify]: Simplified to (- re) 9.827 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 9.827 * * * [progress]: adding candidates to table 11.563 * * [progress]: iteration 3 / 4 11.563 * * * [progress]: picking best candidate 11.591 * * * * [pick]: Picked # 11.592 * * * [progress]: localizing error 11.686 * * * [progress]: generating rewritten candidates 11.686 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1) 11.698 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 11.705 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 11.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 11.717 * * * [progress]: generating series expansions 11.718 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1) 11.718 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.718 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.718 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.718 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.718 * [taylor]: Taking taylor expansion of im in im 11.718 * [backup-simplify]: Simplify 0 into 0 11.718 * [backup-simplify]: Simplify 1 into 1 11.718 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.718 * [taylor]: Taking taylor expansion of re in im 11.718 * [backup-simplify]: Simplify re into re 11.718 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.718 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.718 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.718 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.719 * [backup-simplify]: Simplify (+ 0 0) into 0 11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.719 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.719 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.719 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.719 * [taylor]: Taking taylor expansion of im in re 11.719 * [backup-simplify]: Simplify im into im 11.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.719 * [taylor]: Taking taylor expansion of re in re 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.719 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.719 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.719 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.719 * [backup-simplify]: Simplify (+ 0 0) into 0 11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.719 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.720 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.720 * [taylor]: Taking taylor expansion of im in re 11.720 * [backup-simplify]: Simplify im into im 11.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.720 * [taylor]: Taking taylor expansion of re in re 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.720 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.720 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.720 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.720 * [backup-simplify]: Simplify (+ 0 0) into 0 11.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.720 * [taylor]: Taking taylor expansion of im in im 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [taylor]: Taking taylor expansion of 0 in im 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.721 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.721 * [backup-simplify]: Simplify (* 1 1) into 1 11.721 * [backup-simplify]: Simplify (+ 0 1) into 1 11.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.722 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.722 * [taylor]: Taking taylor expansion of 1/2 in im 11.722 * [backup-simplify]: Simplify 1/2 into 1/2 11.722 * [taylor]: Taking taylor expansion of im in im 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify 1 into 1 11.722 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.724 * [backup-simplify]: Simplify (+ 0 0) into 0 11.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.724 * [taylor]: Taking taylor expansion of 0 in im 11.724 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.724 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.725 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.725 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.725 * [taylor]: Taking taylor expansion of re in im 11.725 * [backup-simplify]: Simplify re into re 11.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.725 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.725 * [taylor]: Taking taylor expansion of im in im 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.726 * [backup-simplify]: Simplify (/ 1 1) into 1 11.726 * [backup-simplify]: Simplify (+ 0 1) into 1 11.726 * [backup-simplify]: Simplify (sqrt 1) into 1 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.727 * [backup-simplify]: Simplify (+ 0 0) into 0 11.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.728 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.728 * [taylor]: Taking taylor expansion of re in re 11.728 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify 1 into 1 11.728 * [backup-simplify]: Simplify (* 1 1) into 1 11.728 * [backup-simplify]: Simplify (/ 1 1) into 1 11.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.728 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.728 * [taylor]: Taking taylor expansion of im in re 11.728 * [backup-simplify]: Simplify im into im 11.728 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.729 * [backup-simplify]: Simplify (+ 1 0) into 1 11.729 * [backup-simplify]: Simplify (sqrt 1) into 1 11.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.731 * [backup-simplify]: Simplify (+ 0 0) into 0 11.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.731 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.731 * [taylor]: Taking taylor expansion of re in re 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (* 1 1) into 1 11.732 * [backup-simplify]: Simplify (/ 1 1) into 1 11.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.735 * [taylor]: Taking taylor expansion of im in re 11.736 * [backup-simplify]: Simplify im into im 11.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.736 * [backup-simplify]: Simplify (+ 1 0) into 1 11.736 * [backup-simplify]: Simplify (sqrt 1) into 1 11.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.738 * [backup-simplify]: Simplify (+ 0 0) into 0 11.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.738 * [taylor]: Taking taylor expansion of 1 in im 11.738 * [backup-simplify]: Simplify 1 into 1 11.738 * [taylor]: Taking taylor expansion of 0 in im 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 1 into 1 11.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.739 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.740 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.740 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.740 * [taylor]: Taking taylor expansion of 1/2 in im 11.740 * [backup-simplify]: Simplify 1/2 into 1/2 11.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.740 * [taylor]: Taking taylor expansion of im in im 11.740 * [backup-simplify]: Simplify 0 into 0 11.740 * [backup-simplify]: Simplify 1 into 1 11.740 * [backup-simplify]: Simplify (* 1 1) into 1 11.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.745 * [taylor]: Taking taylor expansion of 0 in im 11.745 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.748 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.748 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.748 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.748 * [taylor]: Taking taylor expansion of re in im 11.748 * [backup-simplify]: Simplify re into re 11.748 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.748 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.748 * [taylor]: Taking taylor expansion of im in im 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 1 into 1 11.749 * [backup-simplify]: Simplify (* 1 1) into 1 11.749 * [backup-simplify]: Simplify (/ 1 1) into 1 11.750 * [backup-simplify]: Simplify (+ 0 1) into 1 11.750 * [backup-simplify]: Simplify (sqrt 1) into 1 11.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.752 * [backup-simplify]: Simplify (+ 0 0) into 0 11.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.753 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.753 * [taylor]: Taking taylor expansion of re in re 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.753 * [backup-simplify]: Simplify (* 1 1) into 1 11.754 * [backup-simplify]: Simplify (/ 1 1) into 1 11.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.754 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.754 * [taylor]: Taking taylor expansion of im in re 11.754 * [backup-simplify]: Simplify im into im 11.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.754 * [backup-simplify]: Simplify (+ 1 0) into 1 11.755 * [backup-simplify]: Simplify (sqrt 1) into 1 11.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.757 * [backup-simplify]: Simplify (+ 0 0) into 0 11.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.757 * [taylor]: Taking taylor expansion of re in re 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [backup-simplify]: Simplify 1 into 1 11.758 * [backup-simplify]: Simplify (* 1 1) into 1 11.758 * [backup-simplify]: Simplify (/ 1 1) into 1 11.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.758 * [taylor]: Taking taylor expansion of im in re 11.758 * [backup-simplify]: Simplify im into im 11.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.759 * [backup-simplify]: Simplify (+ 1 0) into 1 11.759 * [backup-simplify]: Simplify (sqrt 1) into 1 11.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.761 * [backup-simplify]: Simplify (+ 0 0) into 0 11.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.762 * [taylor]: Taking taylor expansion of 1 in im 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [taylor]: Taking taylor expansion of 0 in im 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.765 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.766 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.766 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.766 * [taylor]: Taking taylor expansion of 1/2 in im 11.766 * [backup-simplify]: Simplify 1/2 into 1/2 11.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.766 * [taylor]: Taking taylor expansion of im in im 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (* 1 1) into 1 11.767 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.768 * [backup-simplify]: Simplify 0 into 0 11.768 * [backup-simplify]: Simplify 0 into 0 11.769 * [backup-simplify]: Simplify 0 into 0 11.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.771 * [backup-simplify]: Simplify (+ 0 0) into 0 11.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.772 * [taylor]: Taking taylor expansion of 0 in im 11.772 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.774 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 11.774 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.774 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.774 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.775 * [taylor]: Taking taylor expansion of im in im 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.775 * [taylor]: Taking taylor expansion of re in im 11.775 * [backup-simplify]: Simplify re into re 11.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.775 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.775 * [backup-simplify]: Simplify (+ 0 0) into 0 11.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.776 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.776 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.776 * [taylor]: Taking taylor expansion of im in re 11.776 * [backup-simplify]: Simplify im into im 11.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.776 * [taylor]: Taking taylor expansion of re in re 11.776 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.776 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.777 * [backup-simplify]: Simplify (+ 0 0) into 0 11.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.777 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.777 * [taylor]: Taking taylor expansion of im in re 11.777 * [backup-simplify]: Simplify im into im 11.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.777 * [taylor]: Taking taylor expansion of re in re 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.777 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.777 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.778 * [backup-simplify]: Simplify (+ 0 0) into 0 11.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.778 * [taylor]: Taking taylor expansion of im in im 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [taylor]: Taking taylor expansion of 0 in im 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [backup-simplify]: Simplify 1 into 1 11.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.779 * [backup-simplify]: Simplify (* 1 1) into 1 11.779 * [backup-simplify]: Simplify (+ 0 1) into 1 11.780 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.780 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.780 * [taylor]: Taking taylor expansion of 1/2 in im 11.780 * [backup-simplify]: Simplify 1/2 into 1/2 11.780 * [taylor]: Taking taylor expansion of im in im 11.780 * [backup-simplify]: Simplify 0 into 0 11.780 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.782 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.784 * [backup-simplify]: Simplify (+ 0 0) into 0 11.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.784 * [taylor]: Taking taylor expansion of 0 in im 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.785 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.786 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.786 * [taylor]: Taking taylor expansion of re in im 11.786 * [backup-simplify]: Simplify re into re 11.786 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.786 * [taylor]: Taking taylor expansion of im in im 11.786 * [backup-simplify]: Simplify 0 into 0 11.786 * [backup-simplify]: Simplify 1 into 1 11.787 * [backup-simplify]: Simplify (* 1 1) into 1 11.787 * [backup-simplify]: Simplify (/ 1 1) into 1 11.787 * [backup-simplify]: Simplify (+ 0 1) into 1 11.788 * [backup-simplify]: Simplify (sqrt 1) into 1 11.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.789 * [backup-simplify]: Simplify (+ 0 0) into 0 11.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.789 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.789 * [taylor]: Taking taylor expansion of re in re 11.789 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify 1 into 1 11.789 * [backup-simplify]: Simplify (* 1 1) into 1 11.790 * [backup-simplify]: Simplify (/ 1 1) into 1 11.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.790 * [taylor]: Taking taylor expansion of im in re 11.790 * [backup-simplify]: Simplify im into im 11.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.790 * [backup-simplify]: Simplify (+ 1 0) into 1 11.790 * [backup-simplify]: Simplify (sqrt 1) into 1 11.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.791 * [backup-simplify]: Simplify (+ 0 0) into 0 11.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.792 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.792 * [taylor]: Taking taylor expansion of re in re 11.792 * [backup-simplify]: Simplify 0 into 0 11.792 * [backup-simplify]: Simplify 1 into 1 11.792 * [backup-simplify]: Simplify (* 1 1) into 1 11.792 * [backup-simplify]: Simplify (/ 1 1) into 1 11.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.792 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.792 * [taylor]: Taking taylor expansion of im in re 11.793 * [backup-simplify]: Simplify im into im 11.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.793 * [backup-simplify]: Simplify (+ 1 0) into 1 11.793 * [backup-simplify]: Simplify (sqrt 1) into 1 11.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.794 * [backup-simplify]: Simplify (+ 0 0) into 0 11.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.795 * [taylor]: Taking taylor expansion of 1 in im 11.795 * [backup-simplify]: Simplify 1 into 1 11.795 * [taylor]: Taking taylor expansion of 0 in im 11.795 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify 1 into 1 11.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.796 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.797 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.797 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.797 * [taylor]: Taking taylor expansion of 1/2 in im 11.797 * [backup-simplify]: Simplify 1/2 into 1/2 11.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.797 * [taylor]: Taking taylor expansion of im in im 11.797 * [backup-simplify]: Simplify 0 into 0 11.797 * [backup-simplify]: Simplify 1 into 1 11.797 * [backup-simplify]: Simplify (* 1 1) into 1 11.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.800 * [backup-simplify]: Simplify (+ 0 0) into 0 11.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.800 * [taylor]: Taking taylor expansion of 0 in im 11.800 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.802 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.802 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.802 * [taylor]: Taking taylor expansion of re in im 11.802 * [backup-simplify]: Simplify re into re 11.802 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.802 * [taylor]: Taking taylor expansion of im in im 11.802 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify 1 into 1 11.802 * [backup-simplify]: Simplify (* 1 1) into 1 11.803 * [backup-simplify]: Simplify (/ 1 1) into 1 11.803 * [backup-simplify]: Simplify (+ 0 1) into 1 11.803 * [backup-simplify]: Simplify (sqrt 1) into 1 11.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.804 * [backup-simplify]: Simplify (+ 0 0) into 0 11.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.805 * [taylor]: Taking taylor expansion of re in re 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 1 into 1 11.805 * [backup-simplify]: Simplify (* 1 1) into 1 11.805 * [backup-simplify]: Simplify (/ 1 1) into 1 11.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.805 * [taylor]: Taking taylor expansion of im in re 11.805 * [backup-simplify]: Simplify im into im 11.805 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.806 * [backup-simplify]: Simplify (+ 1 0) into 1 11.806 * [backup-simplify]: Simplify (sqrt 1) into 1 11.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.808 * [backup-simplify]: Simplify (+ 0 0) into 0 11.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.809 * [taylor]: Taking taylor expansion of re in re 11.809 * [backup-simplify]: Simplify 0 into 0 11.809 * [backup-simplify]: Simplify 1 into 1 11.809 * [backup-simplify]: Simplify (* 1 1) into 1 11.810 * [backup-simplify]: Simplify (/ 1 1) into 1 11.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.810 * [taylor]: Taking taylor expansion of im in re 11.810 * [backup-simplify]: Simplify im into im 11.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.811 * [backup-simplify]: Simplify (+ 1 0) into 1 11.811 * [backup-simplify]: Simplify (sqrt 1) into 1 11.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.813 * [backup-simplify]: Simplify (+ 0 0) into 0 11.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.814 * [taylor]: Taking taylor expansion of 1 in im 11.814 * [backup-simplify]: Simplify 1 into 1 11.814 * [taylor]: Taking taylor expansion of 0 in im 11.814 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify 1 into 1 11.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.818 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.818 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.818 * [taylor]: Taking taylor expansion of 1/2 in im 11.818 * [backup-simplify]: Simplify 1/2 into 1/2 11.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.818 * [taylor]: Taking taylor expansion of im in im 11.818 * [backup-simplify]: Simplify 0 into 0 11.818 * [backup-simplify]: Simplify 1 into 1 11.818 * [backup-simplify]: Simplify (* 1 1) into 1 11.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.820 * [backup-simplify]: Simplify 0 into 0 11.820 * [backup-simplify]: Simplify 0 into 0 11.820 * [backup-simplify]: Simplify 0 into 0 11.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.823 * [backup-simplify]: Simplify (+ 0 0) into 0 11.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.824 * [taylor]: Taking taylor expansion of 0 in im 11.824 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 11.826 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.826 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.826 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.826 * [taylor]: Taking taylor expansion of im in im 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 1 into 1 11.826 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.826 * [taylor]: Taking taylor expansion of re in im 11.826 * [backup-simplify]: Simplify re into re 11.826 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.827 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.827 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.827 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.827 * [backup-simplify]: Simplify (+ 0 0) into 0 11.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.827 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.827 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.827 * [taylor]: Taking taylor expansion of im in re 11.827 * [backup-simplify]: Simplify im into im 11.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.827 * [taylor]: Taking taylor expansion of re in re 11.827 * [backup-simplify]: Simplify 0 into 0 11.827 * [backup-simplify]: Simplify 1 into 1 11.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.828 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.828 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.828 * [backup-simplify]: Simplify (+ 0 0) into 0 11.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.828 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.828 * [taylor]: Taking taylor expansion of im in re 11.828 * [backup-simplify]: Simplify im into im 11.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.828 * [taylor]: Taking taylor expansion of re in re 11.829 * [backup-simplify]: Simplify 0 into 0 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.829 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.829 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.829 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.829 * [backup-simplify]: Simplify (+ 0 0) into 0 11.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.829 * [taylor]: Taking taylor expansion of im in im 11.829 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [taylor]: Taking taylor expansion of 0 in im 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.831 * [backup-simplify]: Simplify (* 1 1) into 1 11.831 * [backup-simplify]: Simplify (+ 0 1) into 1 11.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.832 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.832 * [taylor]: Taking taylor expansion of 1/2 in im 11.832 * [backup-simplify]: Simplify 1/2 into 1/2 11.832 * [taylor]: Taking taylor expansion of im in im 11.832 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify 1 into 1 11.832 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.833 * [backup-simplify]: Simplify 0 into 0 11.833 * [backup-simplify]: Simplify 0 into 0 11.833 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.835 * [taylor]: Taking taylor expansion of 0 in im 11.835 * [backup-simplify]: Simplify 0 into 0 11.835 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.837 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.837 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.837 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.837 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.837 * [taylor]: Taking taylor expansion of re in im 11.837 * [backup-simplify]: Simplify re into re 11.837 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.837 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.837 * [taylor]: Taking taylor expansion of im in im 11.837 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify 1 into 1 11.838 * [backup-simplify]: Simplify (* 1 1) into 1 11.838 * [backup-simplify]: Simplify (/ 1 1) into 1 11.839 * [backup-simplify]: Simplify (+ 0 1) into 1 11.839 * [backup-simplify]: Simplify (sqrt 1) into 1 11.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.841 * [backup-simplify]: Simplify (+ 0 0) into 0 11.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.842 * [taylor]: Taking taylor expansion of re in re 11.842 * [backup-simplify]: Simplify 0 into 0 11.842 * [backup-simplify]: Simplify 1 into 1 11.842 * [backup-simplify]: Simplify (* 1 1) into 1 11.843 * [backup-simplify]: Simplify (/ 1 1) into 1 11.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.843 * [taylor]: Taking taylor expansion of im in re 11.843 * [backup-simplify]: Simplify im into im 11.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.844 * [backup-simplify]: Simplify (+ 1 0) into 1 11.844 * [backup-simplify]: Simplify (sqrt 1) into 1 11.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.846 * [backup-simplify]: Simplify (+ 0 0) into 0 11.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.847 * [taylor]: Taking taylor expansion of re in re 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [backup-simplify]: Simplify (* 1 1) into 1 11.847 * [backup-simplify]: Simplify (/ 1 1) into 1 11.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.848 * [taylor]: Taking taylor expansion of im in re 11.848 * [backup-simplify]: Simplify im into im 11.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.848 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.848 * [backup-simplify]: Simplify (+ 1 0) into 1 11.849 * [backup-simplify]: Simplify (sqrt 1) into 1 11.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.850 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.851 * [taylor]: Taking taylor expansion of 1 in im 11.851 * [backup-simplify]: Simplify 1 into 1 11.851 * [taylor]: Taking taylor expansion of 0 in im 11.851 * [backup-simplify]: Simplify 0 into 0 11.851 * [backup-simplify]: Simplify 1 into 1 11.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.853 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.855 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.855 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.855 * [taylor]: Taking taylor expansion of 1/2 in im 11.855 * [backup-simplify]: Simplify 1/2 into 1/2 11.855 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.855 * [taylor]: Taking taylor expansion of im in im 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 1 into 1 11.855 * [backup-simplify]: Simplify (* 1 1) into 1 11.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.860 * [backup-simplify]: Simplify (+ 0 0) into 0 11.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.861 * [taylor]: Taking taylor expansion of 0 in im 11.861 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.863 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.863 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.863 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.863 * [taylor]: Taking taylor expansion of re in im 11.864 * [backup-simplify]: Simplify re into re 11.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.864 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.864 * [taylor]: Taking taylor expansion of im in im 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 1 into 1 11.864 * [backup-simplify]: Simplify (* 1 1) into 1 11.865 * [backup-simplify]: Simplify (/ 1 1) into 1 11.865 * [backup-simplify]: Simplify (+ 0 1) into 1 11.866 * [backup-simplify]: Simplify (sqrt 1) into 1 11.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.867 * [backup-simplify]: Simplify (+ 0 0) into 0 11.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.868 * [taylor]: Taking taylor expansion of re in re 11.868 * [backup-simplify]: Simplify 0 into 0 11.868 * [backup-simplify]: Simplify 1 into 1 11.874 * [backup-simplify]: Simplify (* 1 1) into 1 11.875 * [backup-simplify]: Simplify (/ 1 1) into 1 11.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.875 * [taylor]: Taking taylor expansion of im in re 11.875 * [backup-simplify]: Simplify im into im 11.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.876 * [backup-simplify]: Simplify (+ 1 0) into 1 11.876 * [backup-simplify]: Simplify (sqrt 1) into 1 11.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.878 * [backup-simplify]: Simplify (+ 0 0) into 0 11.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.879 * [taylor]: Taking taylor expansion of re in re 11.879 * [backup-simplify]: Simplify 0 into 0 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [backup-simplify]: Simplify (* 1 1) into 1 11.879 * [backup-simplify]: Simplify (/ 1 1) into 1 11.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.879 * [taylor]: Taking taylor expansion of im in re 11.880 * [backup-simplify]: Simplify im into im 11.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.880 * [backup-simplify]: Simplify (+ 1 0) into 1 11.880 * [backup-simplify]: Simplify (sqrt 1) into 1 11.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (+ 0 0) into 0 11.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.883 * [taylor]: Taking taylor expansion of 1 in im 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [taylor]: Taking taylor expansion of 0 in im 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.886 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.886 * [taylor]: Taking taylor expansion of 1/2 in im 11.887 * [backup-simplify]: Simplify 1/2 into 1/2 11.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.887 * [taylor]: Taking taylor expansion of im in im 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 1 into 1 11.887 * [backup-simplify]: Simplify (* 1 1) into 1 11.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.892 * [backup-simplify]: Simplify (+ 0 0) into 0 11.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.892 * [taylor]: Taking taylor expansion of 0 in im 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.895 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 11.895 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.895 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.895 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.895 * [taylor]: Taking taylor expansion of im in im 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.895 * [taylor]: Taking taylor expansion of re in im 11.895 * [backup-simplify]: Simplify re into re 11.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.895 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.896 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.896 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.896 * [backup-simplify]: Simplify (+ 0 0) into 0 11.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.896 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.896 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.896 * [taylor]: Taking taylor expansion of im in re 11.896 * [backup-simplify]: Simplify im into im 11.896 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.896 * [taylor]: Taking taylor expansion of re in re 11.896 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.897 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.897 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.897 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.897 * [backup-simplify]: Simplify (+ 0 0) into 0 11.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.897 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.897 * [taylor]: Taking taylor expansion of im in re 11.897 * [backup-simplify]: Simplify im into im 11.897 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.897 * [taylor]: Taking taylor expansion of re in re 11.898 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify 1 into 1 11.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.898 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.898 * [backup-simplify]: Simplify (+ 0 0) into 0 11.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.898 * [taylor]: Taking taylor expansion of im in im 11.898 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [taylor]: Taking taylor expansion of 0 in im 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.900 * [backup-simplify]: Simplify (* 1 1) into 1 11.900 * [backup-simplify]: Simplify (+ 0 1) into 1 11.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.901 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.901 * [taylor]: Taking taylor expansion of 1/2 in im 11.901 * [backup-simplify]: Simplify 1/2 into 1/2 11.901 * [taylor]: Taking taylor expansion of im in im 11.901 * [backup-simplify]: Simplify 0 into 0 11.901 * [backup-simplify]: Simplify 1 into 1 11.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 0 into 0 11.903 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.904 * [backup-simplify]: Simplify (+ 0 0) into 0 11.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.904 * [taylor]: Taking taylor expansion of 0 in im 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.906 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.906 * [taylor]: Taking taylor expansion of re in im 11.906 * [backup-simplify]: Simplify re into re 11.906 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.906 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.906 * [taylor]: Taking taylor expansion of im in im 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.907 * [backup-simplify]: Simplify (* 1 1) into 1 11.907 * [backup-simplify]: Simplify (/ 1 1) into 1 11.908 * [backup-simplify]: Simplify (+ 0 1) into 1 11.908 * [backup-simplify]: Simplify (sqrt 1) into 1 11.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.910 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.911 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.911 * [taylor]: Taking taylor expansion of re in re 11.911 * [backup-simplify]: Simplify 0 into 0 11.911 * [backup-simplify]: Simplify 1 into 1 11.911 * [backup-simplify]: Simplify (* 1 1) into 1 11.911 * [backup-simplify]: Simplify (/ 1 1) into 1 11.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.912 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.912 * [taylor]: Taking taylor expansion of im in re 11.912 * [backup-simplify]: Simplify im into im 11.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.912 * [backup-simplify]: Simplify (+ 1 0) into 1 11.913 * [backup-simplify]: Simplify (sqrt 1) into 1 11.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.914 * [backup-simplify]: Simplify (+ 0 0) into 0 11.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.915 * [taylor]: Taking taylor expansion of re in re 11.916 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify 1 into 1 11.916 * [backup-simplify]: Simplify (* 1 1) into 1 11.916 * [backup-simplify]: Simplify (/ 1 1) into 1 11.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.916 * [taylor]: Taking taylor expansion of im in re 11.916 * [backup-simplify]: Simplify im into im 11.916 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.917 * [backup-simplify]: Simplify (+ 1 0) into 1 11.917 * [backup-simplify]: Simplify (sqrt 1) into 1 11.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (+ 0 0) into 0 11.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.920 * [taylor]: Taking taylor expansion of 1 in im 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [taylor]: Taking taylor expansion of 0 in im 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 1 into 1 11.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.922 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.923 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.923 * [taylor]: Taking taylor expansion of 1/2 in im 11.923 * [backup-simplify]: Simplify 1/2 into 1/2 11.923 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.923 * [taylor]: Taking taylor expansion of im in im 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.924 * [backup-simplify]: Simplify (* 1 1) into 1 11.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.926 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.928 * [backup-simplify]: Simplify (+ 0 0) into 0 11.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.929 * [taylor]: Taking taylor expansion of 0 in im 11.929 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.932 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.932 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.932 * [taylor]: Taking taylor expansion of re in im 11.932 * [backup-simplify]: Simplify re into re 11.932 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.932 * [taylor]: Taking taylor expansion of im in im 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (* 1 1) into 1 11.933 * [backup-simplify]: Simplify (/ 1 1) into 1 11.933 * [backup-simplify]: Simplify (+ 0 1) into 1 11.934 * [backup-simplify]: Simplify (sqrt 1) into 1 11.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.935 * [backup-simplify]: Simplify (+ 0 0) into 0 11.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.936 * [taylor]: Taking taylor expansion of re in re 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (* 1 1) into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.937 * [taylor]: Taking taylor expansion of im in re 11.937 * [backup-simplify]: Simplify im into im 11.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.938 * [backup-simplify]: Simplify (+ 1 0) into 1 11.938 * [backup-simplify]: Simplify (sqrt 1) into 1 11.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.940 * [backup-simplify]: Simplify (+ 0 0) into 0 11.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.941 * [taylor]: Taking taylor expansion of re in re 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (* 1 1) into 1 11.942 * [backup-simplify]: Simplify (/ 1 1) into 1 11.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.942 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.942 * [taylor]: Taking taylor expansion of im in re 11.942 * [backup-simplify]: Simplify im into im 11.942 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.942 * [backup-simplify]: Simplify (+ 1 0) into 1 11.943 * [backup-simplify]: Simplify (sqrt 1) into 1 11.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify (+ 0 0) into 0 11.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.945 * [taylor]: Taking taylor expansion of 1 in im 11.945 * [backup-simplify]: Simplify 1 into 1 11.945 * [taylor]: Taking taylor expansion of 0 in im 11.945 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.948 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.949 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.949 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.949 * [taylor]: Taking taylor expansion of 1/2 in im 11.949 * [backup-simplify]: Simplify 1/2 into 1/2 11.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.949 * [taylor]: Taking taylor expansion of im in im 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (* 1 1) into 1 11.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.954 * [backup-simplify]: Simplify (+ 0 0) into 0 11.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.954 * [taylor]: Taking taylor expansion of 0 in im 11.954 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.956 * * * [progress]: simplifying candidates 11.956 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 11.956 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 11.956 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 11.956 * * [simplify]: iters left: 6 (8 enodes) 11.958 * * [simplify]: iters left: 5 (26 enodes) 11.961 * * [simplify]: Extracting #0: cost 1 inf + 0 11.961 * * [simplify]: Extracting #1: cost 4 inf + 0 11.962 * * [simplify]: Extracting #2: cost 7 inf + 0 11.962 * * [simplify]: Extracting #3: cost 10 inf + 0 11.962 * * [simplify]: Extracting #4: cost 14 inf + 0 11.962 * * [simplify]: Extracting #5: cost 10 inf + 84 11.962 * * [simplify]: Extracting #6: cost 8 inf + 166 11.962 * * [simplify]: Extracting #7: cost 4 inf + 854 11.962 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.962 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.963 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 11.963 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))))) 11.963 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 11.963 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 11.963 * * [simplify]: iters left: 6 (7 enodes) 11.965 * * [simplify]: iters left: 5 (22 enodes) 11.968 * * [simplify]: Extracting #0: cost 1 inf + 0 11.968 * * [simplify]: Extracting #1: cost 3 inf + 0 11.968 * * [simplify]: Extracting #2: cost 5 inf + 0 11.968 * * [simplify]: Extracting #3: cost 8 inf + 0 11.968 * * [simplify]: Extracting #4: cost 12 inf + 0 11.968 * * [simplify]: Extracting #5: cost 10 inf + 2 11.968 * * [simplify]: Extracting #6: cost 1 inf + 936 11.968 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.968 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.968 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))))) 11.969 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 11.969 * [simplify]: Simplifying (sqrt 1) 11.969 * * [simplify]: iters left: 1 (2 enodes) 11.971 * * [simplify]: Extracting #0: cost 1 inf + 0 11.971 * * [simplify]: Extracting #1: cost 0 inf + 1 11.971 * [simplify]: Simplified to 1 11.971 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))))) 11.971 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 11.972 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 11.972 * * [simplify]: iters left: 6 (9 enodes) 11.974 * * [simplify]: iters left: 5 (45 enodes) 11.988 * * [simplify]: iters left: 4 (100 enodes) 12.030 * * [simplify]: iters left: 3 (201 enodes) 12.082 * * [simplify]: iters left: 2 (406 enodes) 12.224 * * [simplify]: Extracting #0: cost 1 inf + 0 12.224 * * [simplify]: Extracting #1: cost 3 inf + 0 12.224 * * [simplify]: Extracting #2: cost 6 inf + 0 12.225 * * [simplify]: Extracting #3: cost 62 inf + 0 12.226 * * [simplify]: Extracting #4: cost 166 inf + 460 12.228 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.235 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.246 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.257 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.267 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.267 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))))) 12.268 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 12.268 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.268 * * [simplify]: iters left: 6 (8 enodes) 12.272 * * [simplify]: iters left: 5 (37 enodes) 12.279 * * [simplify]: iters left: 4 (67 enodes) 12.291 * * [simplify]: iters left: 3 (123 enodes) 12.331 * * [simplify]: iters left: 2 (278 enodes) 12.470 * * [simplify]: Extracting #0: cost 1 inf + 0 12.470 * * [simplify]: Extracting #1: cost 3 inf + 0 12.470 * * [simplify]: Extracting #2: cost 50 inf + 0 12.471 * * [simplify]: Extracting #3: cost 150 inf + 0 12.473 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.478 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.490 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.511 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.526 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.526 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))))) 12.526 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 12.527 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.527 * * [simplify]: iters left: 4 (5 enodes) 12.529 * * [simplify]: iters left: 3 (16 enodes) 12.534 * * [simplify]: Extracting #0: cost 1 inf + 0 12.534 * * [simplify]: Extracting #1: cost 4 inf + 0 12.534 * * [simplify]: Extracting #2: cost 8 inf + 0 12.534 * * [simplify]: Extracting #3: cost 4 inf + 84 12.534 * * [simplify]: Extracting #4: cost 0 inf + 410 12.534 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.534 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))))) 12.535 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 12.535 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 12.535 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.535 * * [simplify]: iters left: 5 (6 enodes) 12.538 * * [simplify]: iters left: 4 (19 enodes) 12.543 * * [simplify]: Extracting #0: cost 1 inf + 0 12.543 * * [simplify]: Extracting #1: cost 3 inf + 0 12.543 * * [simplify]: Extracting #2: cost 6 inf + 0 12.543 * * [simplify]: Extracting #3: cost 10 inf + 0 12.544 * * [simplify]: Extracting #4: cost 6 inf + 84 12.544 * * [simplify]: Extracting #5: cost 0 inf + 734 12.544 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.544 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))))) 12.545 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))))> 12.545 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 12.545 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 12.546 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.546 * * [simplify]: iters left: 6 (8 enodes) 12.550 * * [simplify]: iters left: 5 (26 enodes) 12.557 * * [simplify]: Extracting #0: cost 1 inf + 0 12.557 * * [simplify]: Extracting #1: cost 4 inf + 0 12.557 * * [simplify]: Extracting #2: cost 7 inf + 0 12.557 * * [simplify]: Extracting #3: cost 10 inf + 0 12.557 * * [simplify]: Extracting #4: cost 14 inf + 0 12.557 * * [simplify]: Extracting #5: cost 10 inf + 84 12.557 * * [simplify]: Extracting #6: cost 8 inf + 166 12.557 * * [simplify]: Extracting #7: cost 4 inf + 854 12.558 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.558 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.559 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.559 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 12.560 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 12.560 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.560 * * [simplify]: iters left: 6 (7 enodes) 12.563 * * [simplify]: iters left: 5 (22 enodes) 12.570 * * [simplify]: Extracting #0: cost 1 inf + 0 12.570 * * [simplify]: Extracting #1: cost 3 inf + 0 12.570 * * [simplify]: Extracting #2: cost 5 inf + 0 12.570 * * [simplify]: Extracting #3: cost 8 inf + 0 12.570 * * [simplify]: Extracting #4: cost 12 inf + 0 12.570 * * [simplify]: Extracting #5: cost 10 inf + 2 12.570 * * [simplify]: Extracting #6: cost 1 inf + 936 12.571 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.571 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.571 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 12.571 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 12.572 * [simplify]: Simplifying (sqrt 1) 12.572 * * [simplify]: iters left: 1 (2 enodes) 12.575 * * [simplify]: Extracting #0: cost 1 inf + 0 12.575 * * [simplify]: Extracting #1: cost 0 inf + 1 12.575 * [simplify]: Simplified to 1 12.575 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 12.576 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 12.576 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.576 * * [simplify]: iters left: 6 (9 enodes) 12.582 * * [simplify]: iters left: 5 (45 enodes) 12.595 * * [simplify]: iters left: 4 (100 enodes) 12.621 * * [simplify]: iters left: 3 (201 enodes) 12.683 * * [simplify]: iters left: 2 (406 enodes) 12.839 * * [simplify]: Extracting #0: cost 1 inf + 0 12.839 * * [simplify]: Extracting #1: cost 3 inf + 0 12.839 * * [simplify]: Extracting #2: cost 6 inf + 0 12.839 * * [simplify]: Extracting #3: cost 62 inf + 0 12.840 * * [simplify]: Extracting #4: cost 166 inf + 460 12.843 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.850 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.861 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.871 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.882 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.882 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 12.882 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 12.883 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.883 * * [simplify]: iters left: 6 (8 enodes) 12.887 * * [simplify]: iters left: 5 (37 enodes) 12.899 * * [simplify]: iters left: 4 (67 enodes) 12.922 * * [simplify]: iters left: 3 (123 enodes) 12.975 * * [simplify]: iters left: 2 (278 enodes) 13.123 * * [simplify]: Extracting #0: cost 1 inf + 0 13.123 * * [simplify]: Extracting #1: cost 3 inf + 0 13.123 * * [simplify]: Extracting #2: cost 50 inf + 0 13.124 * * [simplify]: Extracting #3: cost 150 inf + 0 13.125 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.130 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.143 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.157 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.172 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.172 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.172 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 13.173 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.173 * * [simplify]: iters left: 4 (5 enodes) 13.175 * * [simplify]: iters left: 3 (16 enodes) 13.185 * * [simplify]: Extracting #0: cost 1 inf + 0 13.185 * * [simplify]: Extracting #1: cost 4 inf + 0 13.185 * * [simplify]: Extracting #2: cost 8 inf + 0 13.185 * * [simplify]: Extracting #3: cost 4 inf + 84 13.185 * * [simplify]: Extracting #4: cost 0 inf + 410 13.186 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.186 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.186 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 13.186 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 13.187 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.187 * * [simplify]: iters left: 5 (6 enodes) 13.190 * * [simplify]: iters left: 4 (19 enodes) 13.195 * * [simplify]: Extracting #0: cost 1 inf + 0 13.195 * * [simplify]: Extracting #1: cost 3 inf + 0 13.195 * * [simplify]: Extracting #2: cost 6 inf + 0 13.195 * * [simplify]: Extracting #3: cost 10 inf + 0 13.195 * * [simplify]: Extracting #4: cost 6 inf + 84 13.196 * * [simplify]: Extracting #5: cost 0 inf + 734 13.196 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.196 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.196 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 13.196 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 13.196 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 13.197 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 13.197 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.197 * * [simplify]: iters left: 6 (8 enodes) 13.199 * * [simplify]: iters left: 5 (26 enodes) 13.202 * * [simplify]: Extracting #0: cost 1 inf + 0 13.203 * * [simplify]: Extracting #1: cost 4 inf + 0 13.203 * * [simplify]: Extracting #2: cost 7 inf + 0 13.203 * * [simplify]: Extracting #3: cost 10 inf + 0 13.203 * * [simplify]: Extracting #4: cost 14 inf + 0 13.203 * * [simplify]: Extracting #5: cost 10 inf + 84 13.203 * * [simplify]: Extracting #6: cost 8 inf + 166 13.203 * * [simplify]: Extracting #7: cost 4 inf + 854 13.203 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.203 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.204 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.204 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.204 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 13.204 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.204 * * [simplify]: iters left: 6 (7 enodes) 13.206 * * [simplify]: iters left: 5 (22 enodes) 13.209 * * [simplify]: Extracting #0: cost 1 inf + 0 13.209 * * [simplify]: Extracting #1: cost 3 inf + 0 13.209 * * [simplify]: Extracting #2: cost 5 inf + 0 13.209 * * [simplify]: Extracting #3: cost 8 inf + 0 13.209 * * [simplify]: Extracting #4: cost 12 inf + 0 13.209 * * [simplify]: Extracting #5: cost 10 inf + 2 13.209 * * [simplify]: Extracting #6: cost 1 inf + 936 13.210 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.210 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.210 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.210 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 13.210 * [simplify]: Simplifying (sqrt 1) 13.210 * * [simplify]: iters left: 1 (2 enodes) 13.212 * * [simplify]: Extracting #0: cost 1 inf + 0 13.212 * * [simplify]: Extracting #1: cost 0 inf + 1 13.212 * [simplify]: Simplified to 1 13.212 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.213 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 13.213 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.213 * * [simplify]: iters left: 6 (9 enodes) 13.216 * * [simplify]: iters left: 5 (45 enodes) 13.228 * * [simplify]: iters left: 4 (100 enodes) 13.259 * * [simplify]: iters left: 3 (201 enodes) 13.332 * * [simplify]: iters left: 2 (406 enodes) 13.468 * * [simplify]: Extracting #0: cost 1 inf + 0 13.468 * * [simplify]: Extracting #1: cost 3 inf + 0 13.468 * * [simplify]: Extracting #2: cost 6 inf + 0 13.469 * * [simplify]: Extracting #3: cost 62 inf + 0 13.470 * * [simplify]: Extracting #4: cost 166 inf + 460 13.472 * * [simplify]: Extracting #5: cost 131 inf + 12951 13.480 * * [simplify]: Extracting #6: cost 49 inf + 45746 13.497 * * [simplify]: Extracting #7: cost 1 inf + 66256 13.508 * * [simplify]: Extracting #8: cost 0 inf + 65919 13.518 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 13.518 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.519 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 13.519 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.519 * * [simplify]: iters left: 6 (8 enodes) 13.523 * * [simplify]: iters left: 5 (37 enodes) 13.536 * * [simplify]: iters left: 4 (67 enodes) 13.550 * * [simplify]: iters left: 3 (123 enodes) 13.576 * * [simplify]: iters left: 2 (278 enodes) 13.737 * * [simplify]: Extracting #0: cost 1 inf + 0 13.737 * * [simplify]: Extracting #1: cost 3 inf + 0 13.737 * * [simplify]: Extracting #2: cost 50 inf + 0 13.737 * * [simplify]: Extracting #3: cost 150 inf + 0 13.738 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.741 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.752 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.767 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.781 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.781 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.782 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 13.782 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.782 * * [simplify]: iters left: 4 (5 enodes) 13.784 * * [simplify]: iters left: 3 (16 enodes) 13.789 * * [simplify]: Extracting #0: cost 1 inf + 0 13.789 * * [simplify]: Extracting #1: cost 4 inf + 0 13.789 * * [simplify]: Extracting #2: cost 8 inf + 0 13.789 * * [simplify]: Extracting #3: cost 4 inf + 84 13.789 * * [simplify]: Extracting #4: cost 0 inf + 410 13.789 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.790 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.790 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 13.790 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 13.790 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.790 * * [simplify]: iters left: 5 (6 enodes) 13.793 * * [simplify]: iters left: 4 (19 enodes) 13.798 * * [simplify]: Extracting #0: cost 1 inf + 0 13.798 * * [simplify]: Extracting #1: cost 3 inf + 0 13.799 * * [simplify]: Extracting #2: cost 6 inf + 0 13.799 * * [simplify]: Extracting #3: cost 10 inf + 0 13.799 * * [simplify]: Extracting #4: cost 6 inf + 84 13.799 * * [simplify]: Extracting #5: cost 0 inf + 734 13.799 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.799 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.800 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 13.800 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 13.800 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 13.801 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.801 * * [simplify]: iters left: 6 (8 enodes) 13.804 * * [simplify]: iters left: 5 (26 enodes) 13.811 * * [simplify]: Extracting #0: cost 1 inf + 0 13.811 * * [simplify]: Extracting #1: cost 4 inf + 0 13.812 * * [simplify]: Extracting #2: cost 7 inf + 0 13.812 * * [simplify]: Extracting #3: cost 10 inf + 0 13.812 * * [simplify]: Extracting #4: cost 14 inf + 0 13.812 * * [simplify]: Extracting #5: cost 10 inf + 84 13.812 * * [simplify]: Extracting #6: cost 8 inf + 166 13.812 * * [simplify]: Extracting #7: cost 4 inf + 854 13.813 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.813 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.814 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.814 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.814 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 13.815 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.815 * * [simplify]: iters left: 6 (7 enodes) 13.818 * * [simplify]: iters left: 5 (22 enodes) 13.828 * * [simplify]: Extracting #0: cost 1 inf + 0 13.828 * * [simplify]: Extracting #1: cost 3 inf + 0 13.828 * * [simplify]: Extracting #2: cost 5 inf + 0 13.828 * * [simplify]: Extracting #3: cost 8 inf + 0 13.828 * * [simplify]: Extracting #4: cost 12 inf + 0 13.828 * * [simplify]: Extracting #5: cost 10 inf + 2 13.829 * * [simplify]: Extracting #6: cost 1 inf + 936 13.829 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.829 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.830 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.830 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 13.830 * [simplify]: Simplifying (sqrt 1) 13.830 * * [simplify]: iters left: 1 (2 enodes) 13.834 * * [simplify]: Extracting #0: cost 1 inf + 0 13.834 * * [simplify]: Extracting #1: cost 0 inf + 1 13.834 * [simplify]: Simplified to 1 13.834 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 13.834 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 13.834 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.835 * * [simplify]: iters left: 6 (9 enodes) 13.840 * * [simplify]: iters left: 5 (45 enodes) 13.860 * * [simplify]: iters left: 4 (100 enodes) 13.905 * * [simplify]: iters left: 3 (201 enodes) 13.970 * * [simplify]: iters left: 2 (406 enodes) 14.121 * * [simplify]: Extracting #0: cost 1 inf + 0 14.121 * * [simplify]: Extracting #1: cost 3 inf + 0 14.121 * * [simplify]: Extracting #2: cost 6 inf + 0 14.121 * * [simplify]: Extracting #3: cost 62 inf + 0 14.122 * * [simplify]: Extracting #4: cost 166 inf + 460 14.123 * * [simplify]: Extracting #5: cost 131 inf + 12951 14.127 * * [simplify]: Extracting #6: cost 49 inf + 45746 14.135 * * [simplify]: Extracting #7: cost 1 inf + 66256 14.146 * * [simplify]: Extracting #8: cost 0 inf + 65919 14.156 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 14.156 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.157 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 14.163 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.163 * * [simplify]: iters left: 6 (8 enodes) 14.168 * * [simplify]: iters left: 5 (37 enodes) 14.181 * * [simplify]: iters left: 4 (67 enodes) 14.203 * * [simplify]: iters left: 3 (123 enodes) 14.254 * * [simplify]: iters left: 2 (278 enodes) 14.410 * * [simplify]: Extracting #0: cost 1 inf + 0 14.410 * * [simplify]: Extracting #1: cost 3 inf + 0 14.410 * * [simplify]: Extracting #2: cost 50 inf + 0 14.410 * * [simplify]: Extracting #3: cost 150 inf + 0 14.411 * * [simplify]: Extracting #4: cost 194 inf + 1180 14.414 * * [simplify]: Extracting #5: cost 123 inf + 12421 14.420 * * [simplify]: Extracting #6: cost 12 inf + 33804 14.427 * * [simplify]: Extracting #7: cost 0 inf + 36129 14.434 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.435 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.435 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 14.435 * [simplify]: Simplifying (+ (* re re) (* im im)) 14.435 * * [simplify]: iters left: 4 (5 enodes) 14.436 * * [simplify]: iters left: 3 (16 enodes) 14.440 * * [simplify]: Extracting #0: cost 1 inf + 0 14.440 * * [simplify]: Extracting #1: cost 4 inf + 0 14.441 * * [simplify]: Extracting #2: cost 8 inf + 0 14.441 * * [simplify]: Extracting #3: cost 4 inf + 84 14.441 * * [simplify]: Extracting #4: cost 0 inf + 410 14.441 * [simplify]: Simplified to (+ (* re re) (* im im)) 14.441 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.441 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 14.442 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 14.442 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 14.442 * * [simplify]: iters left: 5 (6 enodes) 14.445 * * [simplify]: iters left: 4 (19 enodes) 14.450 * * [simplify]: Extracting #0: cost 1 inf + 0 14.450 * * [simplify]: Extracting #1: cost 3 inf + 0 14.450 * * [simplify]: Extracting #2: cost 6 inf + 0 14.450 * * [simplify]: Extracting #3: cost 10 inf + 0 14.450 * * [simplify]: Extracting #4: cost 6 inf + 84 14.450 * * [simplify]: Extracting #5: cost 0 inf + 734 14.451 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.451 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.451 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 14.451 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 14.451 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 14.452 * [simplify]: Simplifying im 14.452 * * [simplify]: iters left: 0 (1 enodes) 14.452 * * [simplify]: Extracting #0: cost 1 inf + 0 14.452 * * [simplify]: Extracting #1: cost 0 inf + 1 14.452 * [simplify]: Simplified to im 14.452 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))))))) 14.453 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 14.453 * [simplify]: Simplifying re 14.453 * * [simplify]: iters left: 0 (1 enodes) 14.454 * * [simplify]: Extracting #0: cost 1 inf + 0 14.454 * * [simplify]: Extracting #1: cost 0 inf + 1 14.454 * [simplify]: Simplified to re 14.454 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))))))) 14.454 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 14.454 * [simplify]: Simplifying (* -1 re) 14.454 * * [simplify]: iters left: 2 (3 enodes) 14.456 * * [simplify]: iters left: 1 (11 enodes) 14.460 * * [simplify]: Extracting #0: cost 1 inf + 0 14.460 * * [simplify]: Extracting #1: cost 4 inf + 0 14.460 * * [simplify]: Extracting #2: cost 0 inf + 84 14.460 * [simplify]: Simplified to (- re) 14.460 * [simplify]: Simplified (2 2 1 2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))))))) 14.460 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 14.461 * [simplify]: Simplifying im 14.461 * * [simplify]: iters left: 0 (1 enodes) 14.461 * * [simplify]: Extracting #0: cost 1 inf + 0 14.461 * * [simplify]: Extracting #1: cost 0 inf + 1 14.461 * [simplify]: Simplified to im 14.461 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.462 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 14.462 * [simplify]: Simplifying re 14.462 * * [simplify]: iters left: 0 (1 enodes) 14.462 * * [simplify]: Extracting #0: cost 1 inf + 0 14.462 * * [simplify]: Extracting #1: cost 0 inf + 1 14.462 * [simplify]: Simplified to re 14.462 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.463 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 14.463 * [simplify]: Simplifying (* -1 re) 14.463 * * [simplify]: iters left: 2 (3 enodes) 14.465 * * [simplify]: iters left: 1 (11 enodes) 14.468 * * [simplify]: Extracting #0: cost 1 inf + 0 14.469 * * [simplify]: Extracting #1: cost 4 inf + 0 14.469 * * [simplify]: Extracting #2: cost 0 inf + 84 14.469 * [simplify]: Simplified to (- re) 14.469 * [simplify]: Simplified (2 2 1 2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.469 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 14.469 * [simplify]: Simplifying im 14.469 * * [simplify]: iters left: 0 (1 enodes) 14.470 * * [simplify]: Extracting #0: cost 1 inf + 0 14.470 * * [simplify]: Extracting #1: cost 0 inf + 1 14.470 * [simplify]: Simplified to im 14.470 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.470 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 14.470 * [simplify]: Simplifying re 14.470 * * [simplify]: iters left: 0 (1 enodes) 14.470 * * [simplify]: Extracting #0: cost 1 inf + 0 14.470 * * [simplify]: Extracting #1: cost 0 inf + 1 14.470 * [simplify]: Simplified to re 14.470 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.470 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 14.471 * [simplify]: Simplifying (* -1 re) 14.471 * * [simplify]: iters left: 2 (3 enodes) 14.472 * * [simplify]: iters left: 1 (11 enodes) 14.473 * * [simplify]: Extracting #0: cost 1 inf + 0 14.474 * * [simplify]: Extracting #1: cost 4 inf + 0 14.474 * * [simplify]: Extracting #2: cost 0 inf + 84 14.474 * [simplify]: Simplified to (- re) 14.474 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.474 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 14.474 * [simplify]: Simplifying im 14.474 * * [simplify]: iters left: 0 (1 enodes) 14.474 * * [simplify]: Extracting #0: cost 1 inf + 0 14.474 * * [simplify]: Extracting #1: cost 0 inf + 1 14.474 * [simplify]: Simplified to im 14.474 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.475 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 14.475 * [simplify]: Simplifying re 14.475 * * [simplify]: iters left: 0 (1 enodes) 14.475 * * [simplify]: Extracting #0: cost 1 inf + 0 14.475 * * [simplify]: Extracting #1: cost 0 inf + 1 14.475 * [simplify]: Simplified to re 14.475 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.475 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 14.475 * [simplify]: Simplifying (* -1 re) 14.475 * * [simplify]: iters left: 2 (3 enodes) 14.476 * * [simplify]: iters left: 1 (11 enodes) 14.478 * * [simplify]: Extracting #0: cost 1 inf + 0 14.478 * * [simplify]: Extracting #1: cost 4 inf + 0 14.478 * * [simplify]: Extracting #2: cost 0 inf + 84 14.478 * [simplify]: Simplified to (- re) 14.478 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 14.479 * * * [progress]: adding candidates to table 15.827 * * [progress]: iteration 4 / 4 15.827 * * * [progress]: picking best candidate 15.845 * * * * [pick]: Picked # 15.845 * * * [progress]: localizing error 15.891 * * * [progress]: generating rewritten candidates 15.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 15.902 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 2 1 1) 15.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 15.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 15.935 * * * [progress]: generating series expansions 15.935 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 15.935 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 15.935 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 15.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 15.935 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.935 * [taylor]: Taking taylor expansion of im in im 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify 1 into 1 15.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.936 * [taylor]: Taking taylor expansion of re in im 15.936 * [backup-simplify]: Simplify re into re 15.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.936 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.936 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.936 * [backup-simplify]: Simplify (+ 0 0) into 0 15.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.936 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.936 * [taylor]: Taking taylor expansion of im in re 15.937 * [backup-simplify]: Simplify im into im 15.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.937 * [taylor]: Taking taylor expansion of re in re 15.937 * [backup-simplify]: Simplify 0 into 0 15.937 * [backup-simplify]: Simplify 1 into 1 15.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.937 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.937 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.937 * [backup-simplify]: Simplify (+ 0 0) into 0 15.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.937 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.937 * [taylor]: Taking taylor expansion of im in re 15.937 * [backup-simplify]: Simplify im into im 15.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.937 * [taylor]: Taking taylor expansion of re in re 15.937 * [backup-simplify]: Simplify 0 into 0 15.937 * [backup-simplify]: Simplify 1 into 1 15.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.937 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.937 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.938 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.938 * [backup-simplify]: Simplify (+ 0 0) into 0 15.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.938 * [taylor]: Taking taylor expansion of im in im 15.938 * [backup-simplify]: Simplify 0 into 0 15.938 * [backup-simplify]: Simplify 1 into 1 15.938 * [backup-simplify]: Simplify 0 into 0 15.938 * [taylor]: Taking taylor expansion of 0 in im 15.938 * [backup-simplify]: Simplify 0 into 0 15.938 * [backup-simplify]: Simplify 0 into 0 15.938 * [backup-simplify]: Simplify 1 into 1 15.939 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.939 * [backup-simplify]: Simplify (* 1 1) into 1 15.939 * [backup-simplify]: Simplify (+ 0 1) into 1 15.940 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.940 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.940 * [taylor]: Taking taylor expansion of 1/2 in im 15.940 * [backup-simplify]: Simplify 1/2 into 1/2 15.940 * [taylor]: Taking taylor expansion of im in im 15.940 * [backup-simplify]: Simplify 0 into 0 15.940 * [backup-simplify]: Simplify 1 into 1 15.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.941 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.942 * [backup-simplify]: Simplify (+ 0 0) into 0 15.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.942 * [taylor]: Taking taylor expansion of 0 in im 15.942 * [backup-simplify]: Simplify 0 into 0 15.942 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.943 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 15.943 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 15.943 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 15.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.943 * [taylor]: Taking taylor expansion of re in im 15.943 * [backup-simplify]: Simplify re into re 15.943 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.943 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.943 * [taylor]: Taking taylor expansion of im in im 15.943 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify 1 into 1 15.943 * [backup-simplify]: Simplify (* 1 1) into 1 15.944 * [backup-simplify]: Simplify (/ 1 1) into 1 15.944 * [backup-simplify]: Simplify (+ 0 1) into 1 15.944 * [backup-simplify]: Simplify (sqrt 1) into 1 15.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.945 * [backup-simplify]: Simplify (+ 0 0) into 0 15.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.946 * [taylor]: Taking taylor expansion of re in re 15.946 * [backup-simplify]: Simplify 0 into 0 15.946 * [backup-simplify]: Simplify 1 into 1 15.946 * [backup-simplify]: Simplify (* 1 1) into 1 15.946 * [backup-simplify]: Simplify (/ 1 1) into 1 15.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.946 * [taylor]: Taking taylor expansion of im in re 15.946 * [backup-simplify]: Simplify im into im 15.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.947 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.947 * [backup-simplify]: Simplify (+ 1 0) into 1 15.947 * [backup-simplify]: Simplify (sqrt 1) into 1 15.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.949 * [backup-simplify]: Simplify (+ 0 0) into 0 15.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.949 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.949 * [taylor]: Taking taylor expansion of re in re 15.949 * [backup-simplify]: Simplify 0 into 0 15.949 * [backup-simplify]: Simplify 1 into 1 15.950 * [backup-simplify]: Simplify (* 1 1) into 1 15.950 * [backup-simplify]: Simplify (/ 1 1) into 1 15.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.950 * [taylor]: Taking taylor expansion of im in re 15.950 * [backup-simplify]: Simplify im into im 15.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.950 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.951 * [backup-simplify]: Simplify (+ 1 0) into 1 15.951 * [backup-simplify]: Simplify (sqrt 1) into 1 15.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.953 * [backup-simplify]: Simplify (+ 0 0) into 0 15.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.954 * [taylor]: Taking taylor expansion of 1 in im 15.954 * [backup-simplify]: Simplify 1 into 1 15.954 * [taylor]: Taking taylor expansion of 0 in im 15.954 * [backup-simplify]: Simplify 0 into 0 15.954 * [backup-simplify]: Simplify 1 into 1 15.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.957 * [taylor]: Taking taylor expansion of 1/2 in im 15.957 * [backup-simplify]: Simplify 1/2 into 1/2 15.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.957 * [taylor]: Taking taylor expansion of im in im 15.958 * [backup-simplify]: Simplify 0 into 0 15.958 * [backup-simplify]: Simplify 1 into 1 15.958 * [backup-simplify]: Simplify (* 1 1) into 1 15.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 0 into 0 15.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.962 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.963 * [backup-simplify]: Simplify (+ 0 0) into 0 15.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.964 * [taylor]: Taking taylor expansion of 0 in im 15.964 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 15.966 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 15.966 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 15.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.966 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.966 * [taylor]: Taking taylor expansion of re in im 15.966 * [backup-simplify]: Simplify re into re 15.966 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.966 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.967 * [taylor]: Taking taylor expansion of im in im 15.967 * [backup-simplify]: Simplify 0 into 0 15.967 * [backup-simplify]: Simplify 1 into 1 15.967 * [backup-simplify]: Simplify (* 1 1) into 1 15.968 * [backup-simplify]: Simplify (/ 1 1) into 1 15.968 * [backup-simplify]: Simplify (+ 0 1) into 1 15.969 * [backup-simplify]: Simplify (sqrt 1) into 1 15.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.970 * [backup-simplify]: Simplify (+ 0 0) into 0 15.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.971 * [taylor]: Taking taylor expansion of re in re 15.971 * [backup-simplify]: Simplify 0 into 0 15.971 * [backup-simplify]: Simplify 1 into 1 15.972 * [backup-simplify]: Simplify (* 1 1) into 1 15.972 * [backup-simplify]: Simplify (/ 1 1) into 1 15.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.972 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.972 * [taylor]: Taking taylor expansion of im in re 15.972 * [backup-simplify]: Simplify im into im 15.972 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.972 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.973 * [backup-simplify]: Simplify (+ 1 0) into 1 15.973 * [backup-simplify]: Simplify (sqrt 1) into 1 15.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.975 * [backup-simplify]: Simplify (+ 0 0) into 0 15.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.976 * [taylor]: Taking taylor expansion of re in re 15.976 * [backup-simplify]: Simplify 0 into 0 15.976 * [backup-simplify]: Simplify 1 into 1 15.976 * [backup-simplify]: Simplify (* 1 1) into 1 15.977 * [backup-simplify]: Simplify (/ 1 1) into 1 15.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.977 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.977 * [taylor]: Taking taylor expansion of im in re 15.977 * [backup-simplify]: Simplify im into im 15.977 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.978 * [backup-simplify]: Simplify (+ 1 0) into 1 15.978 * [backup-simplify]: Simplify (sqrt 1) into 1 15.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.980 * [backup-simplify]: Simplify (+ 0 0) into 0 15.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.981 * [taylor]: Taking taylor expansion of 1 in im 15.981 * [backup-simplify]: Simplify 1 into 1 15.981 * [taylor]: Taking taylor expansion of 0 in im 15.981 * [backup-simplify]: Simplify 0 into 0 15.981 * [backup-simplify]: Simplify 1 into 1 15.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.984 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.984 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.984 * [taylor]: Taking taylor expansion of 1/2 in im 15.984 * [backup-simplify]: Simplify 1/2 into 1/2 15.984 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.984 * [taylor]: Taking taylor expansion of im in im 15.984 * [backup-simplify]: Simplify 0 into 0 15.984 * [backup-simplify]: Simplify 1 into 1 15.985 * [backup-simplify]: Simplify (* 1 1) into 1 15.985 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 0 into 0 15.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.990 * [backup-simplify]: Simplify (+ 0 0) into 0 15.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.990 * [taylor]: Taking taylor expansion of 0 in im 15.990 * [backup-simplify]: Simplify 0 into 0 15.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.992 * [backup-simplify]: Simplify 0 into 0 15.992 * [backup-simplify]: Simplify 0 into 0 15.992 * [backup-simplify]: Simplify 0 into 0 15.992 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 15.992 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 2 1 1) 15.993 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 15.993 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 15.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 15.993 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.993 * [taylor]: Taking taylor expansion of im in im 15.993 * [backup-simplify]: Simplify 0 into 0 15.993 * [backup-simplify]: Simplify 1 into 1 15.993 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.993 * [taylor]: Taking taylor expansion of re in im 15.993 * [backup-simplify]: Simplify re into re 15.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.993 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.993 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.993 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.994 * [backup-simplify]: Simplify (+ 0 0) into 0 15.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.994 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.994 * [taylor]: Taking taylor expansion of im in re 15.994 * [backup-simplify]: Simplify im into im 15.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.994 * [taylor]: Taking taylor expansion of re in re 15.994 * [backup-simplify]: Simplify 0 into 0 15.994 * [backup-simplify]: Simplify 1 into 1 15.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.994 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.994 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.995 * [backup-simplify]: Simplify (+ 0 0) into 0 15.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.995 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.995 * [taylor]: Taking taylor expansion of im in re 15.995 * [backup-simplify]: Simplify im into im 15.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.995 * [taylor]: Taking taylor expansion of re in re 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.995 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.995 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.995 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.996 * [backup-simplify]: Simplify (+ 0 0) into 0 15.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.996 * [taylor]: Taking taylor expansion of im in im 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 1 into 1 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [taylor]: Taking taylor expansion of 0 in im 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 1 into 1 15.997 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.997 * [backup-simplify]: Simplify (* 1 1) into 1 15.998 * [backup-simplify]: Simplify (+ 0 1) into 1 15.999 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.999 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.999 * [taylor]: Taking taylor expansion of 1/2 in im 15.999 * [backup-simplify]: Simplify 1/2 into 1/2 15.999 * [taylor]: Taking taylor expansion of im in im 15.999 * [backup-simplify]: Simplify 0 into 0 15.999 * [backup-simplify]: Simplify 1 into 1 15.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.000 * [backup-simplify]: Simplify 0 into 0 16.000 * [backup-simplify]: Simplify 0 into 0 16.000 * [backup-simplify]: Simplify 0 into 0 16.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.002 * [backup-simplify]: Simplify (+ 0 0) into 0 16.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.003 * [taylor]: Taking taylor expansion of 0 in im 16.003 * [backup-simplify]: Simplify 0 into 0 16.003 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.004 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.004 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.004 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.004 * [taylor]: Taking taylor expansion of re in im 16.004 * [backup-simplify]: Simplify re into re 16.004 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.004 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.005 * [taylor]: Taking taylor expansion of im in im 16.005 * [backup-simplify]: Simplify 0 into 0 16.005 * [backup-simplify]: Simplify 1 into 1 16.005 * [backup-simplify]: Simplify (* 1 1) into 1 16.005 * [backup-simplify]: Simplify (/ 1 1) into 1 16.006 * [backup-simplify]: Simplify (+ 0 1) into 1 16.006 * [backup-simplify]: Simplify (sqrt 1) into 1 16.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.008 * [backup-simplify]: Simplify (+ 0 0) into 0 16.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.009 * [taylor]: Taking taylor expansion of re in re 16.009 * [backup-simplify]: Simplify 0 into 0 16.009 * [backup-simplify]: Simplify 1 into 1 16.009 * [backup-simplify]: Simplify (* 1 1) into 1 16.010 * [backup-simplify]: Simplify (/ 1 1) into 1 16.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.010 * [taylor]: Taking taylor expansion of im in re 16.010 * [backup-simplify]: Simplify im into im 16.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.010 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.010 * [backup-simplify]: Simplify (+ 1 0) into 1 16.011 * [backup-simplify]: Simplify (sqrt 1) into 1 16.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.012 * [backup-simplify]: Simplify (+ 0 0) into 0 16.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.013 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.013 * [taylor]: Taking taylor expansion of re in re 16.013 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify 1 into 1 16.014 * [backup-simplify]: Simplify (* 1 1) into 1 16.014 * [backup-simplify]: Simplify (/ 1 1) into 1 16.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.014 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.014 * [taylor]: Taking taylor expansion of im in re 16.014 * [backup-simplify]: Simplify im into im 16.014 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.015 * [backup-simplify]: Simplify (+ 1 0) into 1 16.015 * [backup-simplify]: Simplify (sqrt 1) into 1 16.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.017 * [backup-simplify]: Simplify (+ 0 0) into 0 16.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.018 * [taylor]: Taking taylor expansion of 1 in im 16.018 * [backup-simplify]: Simplify 1 into 1 16.018 * [taylor]: Taking taylor expansion of 0 in im 16.018 * [backup-simplify]: Simplify 0 into 0 16.018 * [backup-simplify]: Simplify 1 into 1 16.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.021 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.021 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.021 * [taylor]: Taking taylor expansion of 1/2 in im 16.021 * [backup-simplify]: Simplify 1/2 into 1/2 16.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.021 * [taylor]: Taking taylor expansion of im in im 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify 1 into 1 16.022 * [backup-simplify]: Simplify (* 1 1) into 1 16.022 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.023 * [backup-simplify]: Simplify 0 into 0 16.023 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify 0 into 0 16.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.026 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.026 * [backup-simplify]: Simplify (+ 0 0) into 0 16.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.027 * [taylor]: Taking taylor expansion of 0 in im 16.027 * [backup-simplify]: Simplify 0 into 0 16.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.029 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.029 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.029 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.029 * [taylor]: Taking taylor expansion of re in im 16.030 * [backup-simplify]: Simplify re into re 16.030 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.030 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.030 * [taylor]: Taking taylor expansion of im in im 16.030 * [backup-simplify]: Simplify 0 into 0 16.030 * [backup-simplify]: Simplify 1 into 1 16.030 * [backup-simplify]: Simplify (* 1 1) into 1 16.031 * [backup-simplify]: Simplify (/ 1 1) into 1 16.031 * [backup-simplify]: Simplify (+ 0 1) into 1 16.031 * [backup-simplify]: Simplify (sqrt 1) into 1 16.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.033 * [backup-simplify]: Simplify (+ 0 0) into 0 16.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.034 * [taylor]: Taking taylor expansion of re in re 16.034 * [backup-simplify]: Simplify 0 into 0 16.034 * [backup-simplify]: Simplify 1 into 1 16.034 * [backup-simplify]: Simplify (* 1 1) into 1 16.035 * [backup-simplify]: Simplify (/ 1 1) into 1 16.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.035 * [taylor]: Taking taylor expansion of im in re 16.035 * [backup-simplify]: Simplify im into im 16.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.035 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.035 * [backup-simplify]: Simplify (+ 1 0) into 1 16.036 * [backup-simplify]: Simplify (sqrt 1) into 1 16.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.038 * [backup-simplify]: Simplify (+ 0 0) into 0 16.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.038 * [taylor]: Taking taylor expansion of re in re 16.038 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify 1 into 1 16.039 * [backup-simplify]: Simplify (* 1 1) into 1 16.039 * [backup-simplify]: Simplify (/ 1 1) into 1 16.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.039 * [taylor]: Taking taylor expansion of im in re 16.039 * [backup-simplify]: Simplify im into im 16.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.040 * [backup-simplify]: Simplify (+ 1 0) into 1 16.040 * [backup-simplify]: Simplify (sqrt 1) into 1 16.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.042 * [backup-simplify]: Simplify (+ 0 0) into 0 16.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.043 * [taylor]: Taking taylor expansion of 1 in im 16.043 * [backup-simplify]: Simplify 1 into 1 16.043 * [taylor]: Taking taylor expansion of 0 in im 16.043 * [backup-simplify]: Simplify 0 into 0 16.043 * [backup-simplify]: Simplify 1 into 1 16.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.045 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.046 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.047 * [taylor]: Taking taylor expansion of 1/2 in im 16.047 * [backup-simplify]: Simplify 1/2 into 1/2 16.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.047 * [taylor]: Taking taylor expansion of im in im 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [backup-simplify]: Simplify (* 1 1) into 1 16.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.052 * [backup-simplify]: Simplify (+ 0 0) into 0 16.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.052 * [taylor]: Taking taylor expansion of 0 in im 16.052 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.054 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify 0 into 0 16.055 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 16.055 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.055 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.055 * [taylor]: Taking taylor expansion of im in im 16.055 * [backup-simplify]: Simplify 0 into 0 16.055 * [backup-simplify]: Simplify 1 into 1 16.055 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.055 * [taylor]: Taking taylor expansion of re in im 16.055 * [backup-simplify]: Simplify re into re 16.055 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.055 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.055 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.055 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.056 * [backup-simplify]: Simplify (+ 0 0) into 0 16.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.056 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.056 * [taylor]: Taking taylor expansion of im in re 16.056 * [backup-simplify]: Simplify im into im 16.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.056 * [taylor]: Taking taylor expansion of re in re 16.056 * [backup-simplify]: Simplify 0 into 0 16.056 * [backup-simplify]: Simplify 1 into 1 16.056 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.056 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.056 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.057 * [backup-simplify]: Simplify (+ 0 0) into 0 16.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.057 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.057 * [taylor]: Taking taylor expansion of im in re 16.057 * [backup-simplify]: Simplify im into im 16.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.057 * [taylor]: Taking taylor expansion of re in re 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.057 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.057 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.057 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.058 * [backup-simplify]: Simplify (+ 0 0) into 0 16.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.058 * [taylor]: Taking taylor expansion of im in im 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [backup-simplify]: Simplify 1 into 1 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [taylor]: Taking taylor expansion of 0 in im 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [backup-simplify]: Simplify 1 into 1 16.058 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.058 * [backup-simplify]: Simplify (* 1 1) into 1 16.063 * [backup-simplify]: Simplify (+ 0 1) into 1 16.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.064 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.064 * [taylor]: Taking taylor expansion of 1/2 in im 16.064 * [backup-simplify]: Simplify 1/2 into 1/2 16.064 * [taylor]: Taking taylor expansion of im in im 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 1 into 1 16.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.065 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.066 * [backup-simplify]: Simplify (+ 0 0) into 0 16.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.066 * [taylor]: Taking taylor expansion of 0 in im 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 0 into 0 16.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.067 * [backup-simplify]: Simplify 0 into 0 16.067 * [backup-simplify]: Simplify 0 into 0 16.067 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.067 * [taylor]: Taking taylor expansion of re in im 16.067 * [backup-simplify]: Simplify re into re 16.067 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.068 * [taylor]: Taking taylor expansion of im in im 16.068 * [backup-simplify]: Simplify 0 into 0 16.068 * [backup-simplify]: Simplify 1 into 1 16.068 * [backup-simplify]: Simplify (* 1 1) into 1 16.068 * [backup-simplify]: Simplify (/ 1 1) into 1 16.068 * [backup-simplify]: Simplify (+ 0 1) into 1 16.069 * [backup-simplify]: Simplify (sqrt 1) into 1 16.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.070 * [backup-simplify]: Simplify (+ 0 0) into 0 16.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.070 * [taylor]: Taking taylor expansion of re in re 16.070 * [backup-simplify]: Simplify 0 into 0 16.070 * [backup-simplify]: Simplify 1 into 1 16.070 * [backup-simplify]: Simplify (* 1 1) into 1 16.071 * [backup-simplify]: Simplify (/ 1 1) into 1 16.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.071 * [taylor]: Taking taylor expansion of im in re 16.071 * [backup-simplify]: Simplify im into im 16.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.071 * [backup-simplify]: Simplify (+ 1 0) into 1 16.071 * [backup-simplify]: Simplify (sqrt 1) into 1 16.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.072 * [backup-simplify]: Simplify (+ 0 0) into 0 16.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.073 * [taylor]: Taking taylor expansion of re in re 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (* 1 1) into 1 16.073 * [backup-simplify]: Simplify (/ 1 1) into 1 16.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.073 * [taylor]: Taking taylor expansion of im in re 16.073 * [backup-simplify]: Simplify im into im 16.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.074 * [backup-simplify]: Simplify (+ 1 0) into 1 16.074 * [backup-simplify]: Simplify (sqrt 1) into 1 16.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.075 * [backup-simplify]: Simplify (+ 0 0) into 0 16.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.076 * [taylor]: Taking taylor expansion of 1 in im 16.076 * [backup-simplify]: Simplify 1 into 1 16.076 * [taylor]: Taking taylor expansion of 0 in im 16.076 * [backup-simplify]: Simplify 0 into 0 16.076 * [backup-simplify]: Simplify 1 into 1 16.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.078 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.078 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.078 * [taylor]: Taking taylor expansion of 1/2 in im 16.078 * [backup-simplify]: Simplify 1/2 into 1/2 16.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.078 * [taylor]: Taking taylor expansion of im in im 16.078 * [backup-simplify]: Simplify 0 into 0 16.078 * [backup-simplify]: Simplify 1 into 1 16.078 * [backup-simplify]: Simplify (* 1 1) into 1 16.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.081 * [backup-simplify]: Simplify (+ 0 0) into 0 16.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.081 * [taylor]: Taking taylor expansion of 0 in im 16.081 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.083 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.083 * [taylor]: Taking taylor expansion of re in im 16.083 * [backup-simplify]: Simplify re into re 16.083 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.083 * [taylor]: Taking taylor expansion of im in im 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify 1 into 1 16.083 * [backup-simplify]: Simplify (* 1 1) into 1 16.083 * [backup-simplify]: Simplify (/ 1 1) into 1 16.084 * [backup-simplify]: Simplify (+ 0 1) into 1 16.084 * [backup-simplify]: Simplify (sqrt 1) into 1 16.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.085 * [backup-simplify]: Simplify (+ 0 0) into 0 16.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.085 * [taylor]: Taking taylor expansion of re in re 16.085 * [backup-simplify]: Simplify 0 into 0 16.085 * [backup-simplify]: Simplify 1 into 1 16.086 * [backup-simplify]: Simplify (* 1 1) into 1 16.086 * [backup-simplify]: Simplify (/ 1 1) into 1 16.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.086 * [taylor]: Taking taylor expansion of im in re 16.086 * [backup-simplify]: Simplify im into im 16.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.086 * [backup-simplify]: Simplify (+ 1 0) into 1 16.087 * [backup-simplify]: Simplify (sqrt 1) into 1 16.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.088 * [backup-simplify]: Simplify (+ 0 0) into 0 16.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.088 * [taylor]: Taking taylor expansion of re in re 16.088 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify 1 into 1 16.088 * [backup-simplify]: Simplify (* 1 1) into 1 16.089 * [backup-simplify]: Simplify (/ 1 1) into 1 16.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.089 * [taylor]: Taking taylor expansion of im in re 16.089 * [backup-simplify]: Simplify im into im 16.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.089 * [backup-simplify]: Simplify (+ 1 0) into 1 16.089 * [backup-simplify]: Simplify (sqrt 1) into 1 16.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.091 * [backup-simplify]: Simplify (+ 0 0) into 0 16.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.092 * [taylor]: Taking taylor expansion of 1 in im 16.092 * [backup-simplify]: Simplify 1 into 1 16.092 * [taylor]: Taking taylor expansion of 0 in im 16.092 * [backup-simplify]: Simplify 0 into 0 16.092 * [backup-simplify]: Simplify 1 into 1 16.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.095 * [taylor]: Taking taylor expansion of 1/2 in im 16.095 * [backup-simplify]: Simplify 1/2 into 1/2 16.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.095 * [taylor]: Taking taylor expansion of im in im 16.095 * [backup-simplify]: Simplify 0 into 0 16.096 * [backup-simplify]: Simplify 1 into 1 16.096 * [backup-simplify]: Simplify (* 1 1) into 1 16.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.098 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.101 * [backup-simplify]: Simplify (+ 0 0) into 0 16.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.101 * [taylor]: Taking taylor expansion of 0 in im 16.101 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.103 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify 0 into 0 16.104 * [backup-simplify]: Simplify 0 into 0 16.104 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 16.104 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.104 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.104 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.104 * [taylor]: Taking taylor expansion of im in im 16.104 * [backup-simplify]: Simplify 0 into 0 16.104 * [backup-simplify]: Simplify 1 into 1 16.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.104 * [taylor]: Taking taylor expansion of re in im 16.104 * [backup-simplify]: Simplify re into re 16.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.104 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.104 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.105 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.105 * [backup-simplify]: Simplify (+ 0 0) into 0 16.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.105 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.105 * [taylor]: Taking taylor expansion of im in re 16.105 * [backup-simplify]: Simplify im into im 16.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.105 * [taylor]: Taking taylor expansion of re in re 16.105 * [backup-simplify]: Simplify 0 into 0 16.105 * [backup-simplify]: Simplify 1 into 1 16.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.105 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.106 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.106 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.106 * [backup-simplify]: Simplify (+ 0 0) into 0 16.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.106 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.106 * [taylor]: Taking taylor expansion of im in re 16.106 * [backup-simplify]: Simplify im into im 16.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.106 * [taylor]: Taking taylor expansion of re in re 16.106 * [backup-simplify]: Simplify 0 into 0 16.106 * [backup-simplify]: Simplify 1 into 1 16.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.106 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.107 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.107 * [backup-simplify]: Simplify (+ 0 0) into 0 16.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.107 * [taylor]: Taking taylor expansion of im in im 16.107 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify 1 into 1 16.107 * [backup-simplify]: Simplify 0 into 0 16.107 * [taylor]: Taking taylor expansion of 0 in im 16.107 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify 1 into 1 16.108 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.108 * [backup-simplify]: Simplify (* 1 1) into 1 16.109 * [backup-simplify]: Simplify (+ 0 1) into 1 16.109 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.110 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.110 * [taylor]: Taking taylor expansion of 1/2 in im 16.110 * [backup-simplify]: Simplify 1/2 into 1/2 16.110 * [taylor]: Taking taylor expansion of im in im 16.110 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify 1 into 1 16.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.111 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify 0 into 0 16.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.113 * [backup-simplify]: Simplify (+ 0 0) into 0 16.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.113 * [taylor]: Taking taylor expansion of 0 in im 16.113 * [backup-simplify]: Simplify 0 into 0 16.113 * [backup-simplify]: Simplify 0 into 0 16.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.114 * [backup-simplify]: Simplify 0 into 0 16.114 * [backup-simplify]: Simplify 0 into 0 16.114 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.115 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.115 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.115 * [taylor]: Taking taylor expansion of re in im 16.115 * [backup-simplify]: Simplify re into re 16.115 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.115 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.115 * [taylor]: Taking taylor expansion of im in im 16.115 * [backup-simplify]: Simplify 0 into 0 16.115 * [backup-simplify]: Simplify 1 into 1 16.115 * [backup-simplify]: Simplify (* 1 1) into 1 16.116 * [backup-simplify]: Simplify (/ 1 1) into 1 16.116 * [backup-simplify]: Simplify (+ 0 1) into 1 16.117 * [backup-simplify]: Simplify (sqrt 1) into 1 16.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.118 * [backup-simplify]: Simplify (+ 0 0) into 0 16.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.118 * [taylor]: Taking taylor expansion of re in re 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify 1 into 1 16.119 * [backup-simplify]: Simplify (* 1 1) into 1 16.119 * [backup-simplify]: Simplify (/ 1 1) into 1 16.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.119 * [taylor]: Taking taylor expansion of im in re 16.119 * [backup-simplify]: Simplify im into im 16.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.120 * [backup-simplify]: Simplify (+ 1 0) into 1 16.120 * [backup-simplify]: Simplify (sqrt 1) into 1 16.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.121 * [backup-simplify]: Simplify (+ 0 0) into 0 16.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.122 * [taylor]: Taking taylor expansion of re in re 16.122 * [backup-simplify]: Simplify 0 into 0 16.122 * [backup-simplify]: Simplify 1 into 1 16.122 * [backup-simplify]: Simplify (* 1 1) into 1 16.122 * [backup-simplify]: Simplify (/ 1 1) into 1 16.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.122 * [taylor]: Taking taylor expansion of im in re 16.122 * [backup-simplify]: Simplify im into im 16.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.122 * [backup-simplify]: Simplify (+ 1 0) into 1 16.123 * [backup-simplify]: Simplify (sqrt 1) into 1 16.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.124 * [backup-simplify]: Simplify (+ 0 0) into 0 16.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.124 * [taylor]: Taking taylor expansion of 1 in im 16.124 * [backup-simplify]: Simplify 1 into 1 16.124 * [taylor]: Taking taylor expansion of 0 in im 16.124 * [backup-simplify]: Simplify 0 into 0 16.124 * [backup-simplify]: Simplify 1 into 1 16.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.126 * [taylor]: Taking taylor expansion of 1/2 in im 16.126 * [backup-simplify]: Simplify 1/2 into 1/2 16.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.126 * [taylor]: Taking taylor expansion of im in im 16.126 * [backup-simplify]: Simplify 0 into 0 16.126 * [backup-simplify]: Simplify 1 into 1 16.127 * [backup-simplify]: Simplify (* 1 1) into 1 16.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.128 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.129 * [backup-simplify]: Simplify (+ 0 0) into 0 16.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.130 * [taylor]: Taking taylor expansion of 0 in im 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.131 * [taylor]: Taking taylor expansion of re in im 16.131 * [backup-simplify]: Simplify re into re 16.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.131 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.131 * [taylor]: Taking taylor expansion of im in im 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify 1 into 1 16.132 * [backup-simplify]: Simplify (* 1 1) into 1 16.132 * [backup-simplify]: Simplify (/ 1 1) into 1 16.132 * [backup-simplify]: Simplify (+ 0 1) into 1 16.132 * [backup-simplify]: Simplify (sqrt 1) into 1 16.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.133 * [backup-simplify]: Simplify (+ 0 0) into 0 16.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.134 * [taylor]: Taking taylor expansion of re in re 16.134 * [backup-simplify]: Simplify 0 into 0 16.134 * [backup-simplify]: Simplify 1 into 1 16.134 * [backup-simplify]: Simplify (* 1 1) into 1 16.134 * [backup-simplify]: Simplify (/ 1 1) into 1 16.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.134 * [taylor]: Taking taylor expansion of im in re 16.134 * [backup-simplify]: Simplify im into im 16.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.135 * [backup-simplify]: Simplify (+ 1 0) into 1 16.135 * [backup-simplify]: Simplify (sqrt 1) into 1 16.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.136 * [backup-simplify]: Simplify (+ 0 0) into 0 16.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.137 * [taylor]: Taking taylor expansion of re in re 16.137 * [backup-simplify]: Simplify 0 into 0 16.137 * [backup-simplify]: Simplify 1 into 1 16.137 * [backup-simplify]: Simplify (* 1 1) into 1 16.137 * [backup-simplify]: Simplify (/ 1 1) into 1 16.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.137 * [taylor]: Taking taylor expansion of im in re 16.137 * [backup-simplify]: Simplify im into im 16.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.138 * [backup-simplify]: Simplify (+ 1 0) into 1 16.138 * [backup-simplify]: Simplify (sqrt 1) into 1 16.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.139 * [backup-simplify]: Simplify (+ 0 0) into 0 16.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.139 * [taylor]: Taking taylor expansion of 1 in im 16.139 * [backup-simplify]: Simplify 1 into 1 16.139 * [taylor]: Taking taylor expansion of 0 in im 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify 1 into 1 16.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.141 * [taylor]: Taking taylor expansion of 1/2 in im 16.141 * [backup-simplify]: Simplify 1/2 into 1/2 16.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.141 * [taylor]: Taking taylor expansion of im in im 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify 1 into 1 16.142 * [backup-simplify]: Simplify (* 1 1) into 1 16.142 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.143 * [backup-simplify]: Simplify 0 into 0 16.143 * [backup-simplify]: Simplify 0 into 0 16.143 * [backup-simplify]: Simplify 0 into 0 16.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.144 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.145 * [taylor]: Taking taylor expansion of 0 in im 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.146 * * * [progress]: simplifying candidates 16.146 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 16.146 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 16.147 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.147 * * [simplify]: iters left: 6 (8 enodes) 16.148 * * [simplify]: iters left: 5 (26 enodes) 16.152 * * [simplify]: Extracting #0: cost 1 inf + 0 16.152 * * [simplify]: Extracting #1: cost 4 inf + 0 16.152 * * [simplify]: Extracting #2: cost 7 inf + 0 16.152 * * [simplify]: Extracting #3: cost 10 inf + 0 16.152 * * [simplify]: Extracting #4: cost 14 inf + 0 16.152 * * [simplify]: Extracting #5: cost 10 inf + 84 16.152 * * [simplify]: Extracting #6: cost 8 inf + 166 16.152 * * [simplify]: Extracting #7: cost 4 inf + 854 16.152 * * [simplify]: Extracting #8: cost 1 inf + 1540 16.153 * * [simplify]: Extracting #9: cost 0 inf + 1782 16.153 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 16.153 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re))))) 16.153 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 16.153 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 16.153 * * [simplify]: iters left: 6 (7 enodes) 16.155 * * [simplify]: iters left: 5 (22 enodes) 16.158 * * [simplify]: Extracting #0: cost 1 inf + 0 16.158 * * [simplify]: Extracting #1: cost 3 inf + 0 16.158 * * [simplify]: Extracting #2: cost 5 inf + 0 16.158 * * [simplify]: Extracting #3: cost 8 inf + 0 16.158 * * [simplify]: Extracting #4: cost 12 inf + 0 16.158 * * [simplify]: Extracting #5: cost 10 inf + 2 16.158 * * [simplify]: Extracting #6: cost 1 inf + 936 16.158 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.159 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 16.159 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re))))) 16.159 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 16.159 * [simplify]: Simplifying (sqrt 1) 16.159 * * [simplify]: iters left: 1 (2 enodes) 16.161 * * [simplify]: Extracting #0: cost 1 inf + 0 16.161 * * [simplify]: Extracting #1: cost 0 inf + 1 16.161 * [simplify]: Simplified to 1 16.161 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) re))))) 16.161 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 16.161 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.161 * * [simplify]: iters left: 6 (9 enodes) 16.168 * * [simplify]: iters left: 5 (45 enodes) 16.179 * * [simplify]: iters left: 4 (100 enodes) 16.203 * * [simplify]: iters left: 3 (201 enodes) 16.255 * * [simplify]: iters left: 2 (406 enodes) 16.385 * * [simplify]: Extracting #0: cost 1 inf + 0 16.385 * * [simplify]: Extracting #1: cost 3 inf + 0 16.385 * * [simplify]: Extracting #2: cost 6 inf + 0 16.385 * * [simplify]: Extracting #3: cost 62 inf + 0 16.386 * * [simplify]: Extracting #4: cost 166 inf + 460 16.387 * * [simplify]: Extracting #5: cost 131 inf + 12951 16.391 * * [simplify]: Extracting #6: cost 49 inf + 45746 16.399 * * [simplify]: Extracting #7: cost 1 inf + 66256 16.410 * * [simplify]: Extracting #8: cost 0 inf + 65919 16.421 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 16.421 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re))))) 16.422 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 16.422 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.422 * * [simplify]: iters left: 6 (8 enodes) 16.426 * * [simplify]: iters left: 5 (37 enodes) 16.437 * * [simplify]: iters left: 4 (67 enodes) 16.449 * * [simplify]: iters left: 3 (123 enodes) 16.494 * * [simplify]: iters left: 2 (278 enodes) 16.629 * * [simplify]: Extracting #0: cost 1 inf + 0 16.629 * * [simplify]: Extracting #1: cost 3 inf + 0 16.629 * * [simplify]: Extracting #2: cost 50 inf + 0 16.630 * * [simplify]: Extracting #3: cost 150 inf + 0 16.632 * * [simplify]: Extracting #4: cost 194 inf + 1180 16.636 * * [simplify]: Extracting #5: cost 123 inf + 12421 16.649 * * [simplify]: Extracting #6: cost 12 inf + 33804 16.663 * * [simplify]: Extracting #7: cost 0 inf + 36129 16.678 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.678 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re))))) 16.679 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 16.679 * [simplify]: Simplifying (+ (* re re) (* im im)) 16.679 * * [simplify]: iters left: 4 (5 enodes) 16.681 * * [simplify]: iters left: 3 (16 enodes) 16.686 * * [simplify]: Extracting #0: cost 1 inf + 0 16.686 * * [simplify]: Extracting #1: cost 4 inf + 0 16.686 * * [simplify]: Extracting #2: cost 8 inf + 0 16.686 * * [simplify]: Extracting #3: cost 4 inf + 84 16.686 * * [simplify]: Extracting #4: cost 0 inf + 410 16.687 * [simplify]: Simplified to (+ (* re re) (* im im)) 16.687 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re))))) 16.687 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 16.687 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 16.687 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 16.688 * * [simplify]: iters left: 5 (6 enodes) 16.690 * * [simplify]: iters left: 4 (19 enodes) 16.696 * * [simplify]: Extracting #0: cost 1 inf + 0 16.696 * * [simplify]: Extracting #1: cost 3 inf + 0 16.696 * * [simplify]: Extracting #2: cost 6 inf + 0 16.696 * * [simplify]: Extracting #3: cost 10 inf + 0 16.696 * * [simplify]: Extracting #4: cost 6 inf + 84 16.696 * * [simplify]: Extracting #5: cost 0 inf + 734 16.697 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 16.697 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) re))))) 16.697 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 16.697 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 16.697 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 16.697 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 16.697 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 16.697 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 16.698 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 16.698 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 16.698 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 16.698 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.698 * * [simplify]: iters left: 6 (8 enodes) 16.702 * * [simplify]: iters left: 5 (26 enodes) 16.709 * * [simplify]: Extracting #0: cost 1 inf + 0 16.709 * * [simplify]: Extracting #1: cost 4 inf + 0 16.709 * * [simplify]: Extracting #2: cost 7 inf + 0 16.709 * * [simplify]: Extracting #3: cost 10 inf + 0 16.709 * * [simplify]: Extracting #4: cost 14 inf + 0 16.709 * * [simplify]: Extracting #5: cost 10 inf + 84 16.709 * * [simplify]: Extracting #6: cost 8 inf + 166 16.710 * * [simplify]: Extracting #7: cost 4 inf + 854 16.710 * * [simplify]: Extracting #8: cost 1 inf + 1540 16.711 * * [simplify]: Extracting #9: cost 0 inf + 1782 16.711 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 16.711 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.712 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 16.712 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 16.712 * * [simplify]: iters left: 6 (7 enodes) 16.715 * * [simplify]: iters left: 5 (22 enodes) 16.721 * * [simplify]: Extracting #0: cost 1 inf + 0 16.722 * * [simplify]: Extracting #1: cost 3 inf + 0 16.722 * * [simplify]: Extracting #2: cost 5 inf + 0 16.722 * * [simplify]: Extracting #3: cost 8 inf + 0 16.722 * * [simplify]: Extracting #4: cost 12 inf + 0 16.722 * * [simplify]: Extracting #5: cost 10 inf + 2 16.722 * * [simplify]: Extracting #6: cost 1 inf + 936 16.722 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.723 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 16.723 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.723 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 16.724 * [simplify]: Simplifying (sqrt 1) 16.724 * * [simplify]: iters left: 1 (2 enodes) 16.727 * * [simplify]: Extracting #0: cost 1 inf + 0 16.727 * * [simplify]: Extracting #1: cost 0 inf + 1 16.727 * [simplify]: Simplified to 1 16.727 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.727 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 16.728 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.728 * * [simplify]: iters left: 6 (9 enodes) 16.733 * * [simplify]: iters left: 5 (45 enodes) 16.754 * * [simplify]: iters left: 4 (100 enodes) 16.803 * * [simplify]: iters left: 3 (201 enodes) 16.877 * * [simplify]: iters left: 2 (406 enodes) 17.013 * * [simplify]: Extracting #0: cost 1 inf + 0 17.014 * * [simplify]: Extracting #1: cost 3 inf + 0 17.014 * * [simplify]: Extracting #2: cost 6 inf + 0 17.014 * * [simplify]: Extracting #3: cost 62 inf + 0 17.015 * * [simplify]: Extracting #4: cost 166 inf + 460 17.018 * * [simplify]: Extracting #5: cost 131 inf + 12951 17.025 * * [simplify]: Extracting #6: cost 49 inf + 45746 17.036 * * [simplify]: Extracting #7: cost 1 inf + 66256 17.046 * * [simplify]: Extracting #8: cost 0 inf + 65919 17.057 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 17.057 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.058 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 17.058 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.058 * * [simplify]: iters left: 6 (8 enodes) 17.060 * * [simplify]: iters left: 5 (37 enodes) 17.067 * * [simplify]: iters left: 4 (67 enodes) 17.083 * * [simplify]: iters left: 3 (123 enodes) 17.133 * * [simplify]: iters left: 2 (278 enodes) 17.280 * * [simplify]: Extracting #0: cost 1 inf + 0 17.280 * * [simplify]: Extracting #1: cost 3 inf + 0 17.280 * * [simplify]: Extracting #2: cost 50 inf + 0 17.281 * * [simplify]: Extracting #3: cost 150 inf + 0 17.282 * * [simplify]: Extracting #4: cost 194 inf + 1180 17.284 * * [simplify]: Extracting #5: cost 123 inf + 12421 17.296 * * [simplify]: Extracting #6: cost 12 inf + 33804 17.303 * * [simplify]: Extracting #7: cost 0 inf + 36129 17.310 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.310 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.310 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 17.311 * [simplify]: Simplifying (+ (* re re) (* im im)) 17.311 * * [simplify]: iters left: 4 (5 enodes) 17.312 * * [simplify]: iters left: 3 (16 enodes) 17.315 * * [simplify]: Extracting #0: cost 1 inf + 0 17.315 * * [simplify]: Extracting #1: cost 4 inf + 0 17.315 * * [simplify]: Extracting #2: cost 8 inf + 0 17.315 * * [simplify]: Extracting #3: cost 4 inf + 84 17.315 * * [simplify]: Extracting #4: cost 0 inf + 410 17.316 * [simplify]: Simplified to (+ (* re re) (* im im)) 17.316 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.316 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 17.316 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 17.316 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 17.316 * * [simplify]: iters left: 5 (6 enodes) 17.319 * * [simplify]: iters left: 4 (19 enodes) 17.324 * * [simplify]: Extracting #0: cost 1 inf + 0 17.324 * * [simplify]: Extracting #1: cost 3 inf + 0 17.324 * * [simplify]: Extracting #2: cost 6 inf + 0 17.324 * * [simplify]: Extracting #3: cost 10 inf + 0 17.325 * * [simplify]: Extracting #4: cost 6 inf + 84 17.325 * * [simplify]: Extracting #5: cost 0 inf + 734 17.325 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 17.325 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.325 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 17.326 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 17.326 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 17.327 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 17.327 * * [simplify]: iters left: 6 (8 enodes) 17.330 * * [simplify]: iters left: 5 (26 enodes) 17.333 * * [simplify]: Extracting #0: cost 1 inf + 0 17.333 * * [simplify]: Extracting #1: cost 4 inf + 0 17.333 * * [simplify]: Extracting #2: cost 7 inf + 0 17.333 * * [simplify]: Extracting #3: cost 10 inf + 0 17.333 * * [simplify]: Extracting #4: cost 14 inf + 0 17.333 * * [simplify]: Extracting #5: cost 10 inf + 84 17.333 * * [simplify]: Extracting #6: cost 8 inf + 166 17.333 * * [simplify]: Extracting #7: cost 4 inf + 854 17.334 * * [simplify]: Extracting #8: cost 1 inf + 1540 17.334 * * [simplify]: Extracting #9: cost 0 inf + 1782 17.334 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 17.334 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.334 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 17.335 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 17.335 * * [simplify]: iters left: 6 (7 enodes) 17.336 * * [simplify]: iters left: 5 (22 enodes) 17.339 * * [simplify]: Extracting #0: cost 1 inf + 0 17.339 * * [simplify]: Extracting #1: cost 3 inf + 0 17.339 * * [simplify]: Extracting #2: cost 5 inf + 0 17.339 * * [simplify]: Extracting #3: cost 8 inf + 0 17.339 * * [simplify]: Extracting #4: cost 12 inf + 0 17.340 * * [simplify]: Extracting #5: cost 10 inf + 2 17.340 * * [simplify]: Extracting #6: cost 1 inf + 936 17.340 * * [simplify]: Extracting #7: cost 0 inf + 1138 17.340 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 17.340 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.340 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 17.340 * [simplify]: Simplifying (sqrt 1) 17.340 * * [simplify]: iters left: 1 (2 enodes) 17.343 * * [simplify]: Extracting #0: cost 1 inf + 0 17.343 * * [simplify]: Extracting #1: cost 0 inf + 1 17.343 * [simplify]: Simplified to 1 17.343 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.343 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 17.343 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 17.343 * * [simplify]: iters left: 6 (9 enodes) 17.346 * * [simplify]: iters left: 5 (45 enodes) 17.357 * * [simplify]: iters left: 4 (100 enodes) 17.399 * * [simplify]: iters left: 3 (201 enodes) 17.482 * * [simplify]: iters left: 2 (406 enodes) 17.673 * * [simplify]: Extracting #0: cost 1 inf + 0 17.673 * * [simplify]: Extracting #1: cost 3 inf + 0 17.673 * * [simplify]: Extracting #2: cost 6 inf + 0 17.673 * * [simplify]: Extracting #3: cost 62 inf + 0 17.674 * * [simplify]: Extracting #4: cost 166 inf + 460 17.675 * * [simplify]: Extracting #5: cost 131 inf + 12951 17.681 * * [simplify]: Extracting #6: cost 49 inf + 45746 17.690 * * [simplify]: Extracting #7: cost 1 inf + 66256 17.695 * * [simplify]: Extracting #8: cost 0 inf + 65919 17.700 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 17.700 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.701 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 17.701 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.701 * * [simplify]: iters left: 6 (8 enodes) 17.703 * * [simplify]: iters left: 5 (37 enodes) 17.710 * * [simplify]: iters left: 4 (67 enodes) 17.725 * * [simplify]: iters left: 3 (123 enodes) 17.761 * * [simplify]: iters left: 2 (278 enodes) 17.895 * * [simplify]: Extracting #0: cost 1 inf + 0 17.895 * * [simplify]: Extracting #1: cost 3 inf + 0 17.895 * * [simplify]: Extracting #2: cost 50 inf + 0 17.896 * * [simplify]: Extracting #3: cost 150 inf + 0 17.897 * * [simplify]: Extracting #4: cost 194 inf + 1180 17.899 * * [simplify]: Extracting #5: cost 123 inf + 12421 17.909 * * [simplify]: Extracting #6: cost 12 inf + 33804 17.924 * * [simplify]: Extracting #7: cost 0 inf + 36129 17.946 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.946 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.946 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 17.947 * [simplify]: Simplifying (+ (* re re) (* im im)) 17.947 * * [simplify]: iters left: 4 (5 enodes) 17.949 * * [simplify]: iters left: 3 (16 enodes) 17.953 * * [simplify]: Extracting #0: cost 1 inf + 0 17.954 * * [simplify]: Extracting #1: cost 4 inf + 0 17.954 * * [simplify]: Extracting #2: cost 8 inf + 0 17.954 * * [simplify]: Extracting #3: cost 4 inf + 84 17.954 * * [simplify]: Extracting #4: cost 0 inf + 410 17.954 * [simplify]: Simplified to (+ (* re re) (* im im)) 17.954 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.954 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 17.955 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 17.955 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 17.955 * * [simplify]: iters left: 5 (6 enodes) 17.958 * * [simplify]: iters left: 4 (19 enodes) 17.962 * * [simplify]: Extracting #0: cost 1 inf + 0 17.962 * * [simplify]: Extracting #1: cost 3 inf + 0 17.962 * * [simplify]: Extracting #2: cost 6 inf + 0 17.962 * * [simplify]: Extracting #3: cost 10 inf + 0 17.962 * * [simplify]: Extracting #4: cost 6 inf + 84 17.962 * * [simplify]: Extracting #5: cost 0 inf + 734 17.962 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 17.962 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.963 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 17.963 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 17.963 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 17.963 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 17.963 * * [simplify]: iters left: 6 (8 enodes) 17.965 * * [simplify]: iters left: 5 (26 enodes) 17.968 * * [simplify]: Extracting #0: cost 1 inf + 0 17.968 * * [simplify]: Extracting #1: cost 4 inf + 0 17.968 * * [simplify]: Extracting #2: cost 7 inf + 0 17.968 * * [simplify]: Extracting #3: cost 10 inf + 0 17.968 * * [simplify]: Extracting #4: cost 14 inf + 0 17.968 * * [simplify]: Extracting #5: cost 10 inf + 84 17.968 * * [simplify]: Extracting #6: cost 8 inf + 166 17.969 * * [simplify]: Extracting #7: cost 4 inf + 854 17.969 * * [simplify]: Extracting #8: cost 1 inf + 1540 17.969 * * [simplify]: Extracting #9: cost 0 inf + 1782 17.969 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 17.969 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.970 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 17.970 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 17.970 * * [simplify]: iters left: 6 (7 enodes) 17.971 * * [simplify]: iters left: 5 (22 enodes) 17.974 * * [simplify]: Extracting #0: cost 1 inf + 0 17.974 * * [simplify]: Extracting #1: cost 3 inf + 0 17.974 * * [simplify]: Extracting #2: cost 5 inf + 0 17.974 * * [simplify]: Extracting #3: cost 8 inf + 0 17.974 * * [simplify]: Extracting #4: cost 12 inf + 0 17.974 * * [simplify]: Extracting #5: cost 10 inf + 2 17.975 * * [simplify]: Extracting #6: cost 1 inf + 936 17.975 * * [simplify]: Extracting #7: cost 0 inf + 1138 17.975 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 17.975 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.975 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 17.975 * [simplify]: Simplifying (sqrt 1) 17.975 * * [simplify]: iters left: 1 (2 enodes) 17.978 * * [simplify]: Extracting #0: cost 1 inf + 0 17.978 * * [simplify]: Extracting #1: cost 0 inf + 1 17.978 * [simplify]: Simplified to 1 17.978 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.978 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 17.978 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 17.978 * * [simplify]: iters left: 6 (9 enodes) 17.981 * * [simplify]: iters left: 5 (45 enodes) 17.994 * * [simplify]: iters left: 4 (100 enodes) 18.038 * * [simplify]: iters left: 3 (201 enodes) 18.096 * * [simplify]: iters left: 2 (406 enodes) 18.287 * * [simplify]: Extracting #0: cost 1 inf + 0 18.287 * * [simplify]: Extracting #1: cost 3 inf + 0 18.287 * * [simplify]: Extracting #2: cost 6 inf + 0 18.287 * * [simplify]: Extracting #3: cost 62 inf + 0 18.287 * * [simplify]: Extracting #4: cost 166 inf + 460 18.289 * * [simplify]: Extracting #5: cost 131 inf + 12951 18.297 * * [simplify]: Extracting #6: cost 49 inf + 45746 18.302 * * [simplify]: Extracting #7: cost 1 inf + 66256 18.307 * * [simplify]: Extracting #8: cost 0 inf + 65919 18.312 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 18.313 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.313 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 18.313 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.313 * * [simplify]: iters left: 6 (8 enodes) 18.315 * * [simplify]: iters left: 5 (37 enodes) 18.323 * * [simplify]: iters left: 4 (67 enodes) 18.345 * * [simplify]: iters left: 3 (123 enodes) 18.393 * * [simplify]: iters left: 2 (278 enodes) 18.512 * * [simplify]: Extracting #0: cost 1 inf + 0 18.512 * * [simplify]: Extracting #1: cost 3 inf + 0 18.512 * * [simplify]: Extracting #2: cost 50 inf + 0 18.512 * * [simplify]: Extracting #3: cost 150 inf + 0 18.513 * * [simplify]: Extracting #4: cost 194 inf + 1180 18.515 * * [simplify]: Extracting #5: cost 123 inf + 12421 18.521 * * [simplify]: Extracting #6: cost 12 inf + 33804 18.529 * * [simplify]: Extracting #7: cost 0 inf + 36129 18.540 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.540 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.540 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 18.541 * [simplify]: Simplifying (+ (* re re) (* im im)) 18.541 * * [simplify]: iters left: 4 (5 enodes) 18.543 * * [simplify]: iters left: 3 (16 enodes) 18.547 * * [simplify]: Extracting #0: cost 1 inf + 0 18.547 * * [simplify]: Extracting #1: cost 4 inf + 0 18.547 * * [simplify]: Extracting #2: cost 8 inf + 0 18.547 * * [simplify]: Extracting #3: cost 4 inf + 84 18.548 * * [simplify]: Extracting #4: cost 0 inf + 410 18.548 * [simplify]: Simplified to (+ (* re re) (* im im)) 18.548 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.548 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 18.548 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 18.549 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 18.549 * * [simplify]: iters left: 5 (6 enodes) 18.551 * * [simplify]: iters left: 4 (19 enodes) 18.557 * * [simplify]: Extracting #0: cost 1 inf + 0 18.557 * * [simplify]: Extracting #1: cost 3 inf + 0 18.557 * * [simplify]: Extracting #2: cost 6 inf + 0 18.557 * * [simplify]: Extracting #3: cost 10 inf + 0 18.557 * * [simplify]: Extracting #4: cost 6 inf + 84 18.557 * * [simplify]: Extracting #5: cost 0 inf + 734 18.557 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 18.558 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.558 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 18.558 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 18.558 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 18.558 * [simplify]: Simplifying im 18.558 * * [simplify]: iters left: 0 (1 enodes) 18.559 * * [simplify]: Extracting #0: cost 1 inf + 0 18.559 * * [simplify]: Extracting #1: cost 0 inf + 1 18.559 * [simplify]: Simplified to im 18.559 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt im))) re))))) 18.559 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 18.559 * [simplify]: Simplifying re 18.559 * * [simplify]: iters left: 0 (1 enodes) 18.560 * * [simplify]: Extracting #0: cost 1 inf + 0 18.560 * * [simplify]: Extracting #1: cost 0 inf + 1 18.560 * [simplify]: Simplified to re 18.560 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt re))) re))))) 18.560 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 18.561 * [simplify]: Simplifying (* -1 re) 18.561 * * [simplify]: iters left: 2 (3 enodes) 18.563 * * [simplify]: iters left: 1 (11 enodes) 18.567 * * [simplify]: Extracting #0: cost 1 inf + 0 18.567 * * [simplify]: Extracting #1: cost 4 inf + 0 18.567 * * [simplify]: Extracting #2: cost 0 inf + 84 18.567 * [simplify]: Simplified to (- re) 18.567 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (- re)))) re))))) 18.567 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 18.568 * [simplify]: Simplifying im 18.568 * * [simplify]: iters left: 0 (1 enodes) 18.568 * * [simplify]: Extracting #0: cost 1 inf + 0 18.568 * * [simplify]: Extracting #1: cost 0 inf + 1 18.568 * [simplify]: Simplified to im 18.568 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.569 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 18.569 * [simplify]: Simplifying re 18.569 * * [simplify]: iters left: 0 (1 enodes) 18.569 * * [simplify]: Extracting #0: cost 1 inf + 0 18.569 * * [simplify]: Extracting #1: cost 0 inf + 1 18.569 * [simplify]: Simplified to re 18.569 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt re)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.570 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 18.570 * [simplify]: Simplifying (* -1 re) 18.570 * * [simplify]: iters left: 2 (3 enodes) 18.572 * * [simplify]: iters left: 1 (11 enodes) 18.575 * * [simplify]: Extracting #0: cost 1 inf + 0 18.575 * * [simplify]: Extracting #1: cost 4 inf + 0 18.575 * * [simplify]: Extracting #2: cost 0 inf + 84 18.575 * [simplify]: Simplified to (- re) 18.576 * [simplify]: Simplified (2 2 1 2 1 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (- re))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.576 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 18.576 * [simplify]: Simplifying im 18.576 * * [simplify]: iters left: 0 (1 enodes) 18.577 * * [simplify]: Extracting #0: cost 1 inf + 0 18.577 * * [simplify]: Extracting #1: cost 0 inf + 1 18.577 * [simplify]: Simplified to im 18.577 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt im)) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.577 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 18.582 * [simplify]: Simplifying re 18.582 * * [simplify]: iters left: 0 (1 enodes) 18.582 * * [simplify]: Extracting #0: cost 1 inf + 0 18.582 * * [simplify]: Extracting #1: cost 0 inf + 1 18.582 * [simplify]: Simplified to re 18.582 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt re)) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.583 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 18.583 * [simplify]: Simplifying (* -1 re) 18.583 * * [simplify]: iters left: 2 (3 enodes) 18.586 * * [simplify]: iters left: 1 (11 enodes) 18.589 * * [simplify]: Extracting #0: cost 1 inf + 0 18.589 * * [simplify]: Extracting #1: cost 4 inf + 0 18.589 * * [simplify]: Extracting #2: cost 0 inf + 84 18.589 * [simplify]: Simplified to (- re) 18.589 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (- re))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.589 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 18.589 * [simplify]: Simplifying im 18.590 * * [simplify]: iters left: 0 (1 enodes) 18.590 * * [simplify]: Extracting #0: cost 1 inf + 0 18.590 * * [simplify]: Extracting #1: cost 0 inf + 1 18.590 * [simplify]: Simplified to im 18.590 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt im) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.590 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 18.591 * [simplify]: Simplifying re 18.591 * * [simplify]: iters left: 0 (1 enodes) 18.591 * * [simplify]: Extracting #0: cost 1 inf + 0 18.591 * * [simplify]: Extracting #1: cost 0 inf + 1 18.591 * [simplify]: Simplified to re 18.591 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt re) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.591 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 18.592 * [simplify]: Simplifying (* -1 re) 18.592 * * [simplify]: iters left: 2 (3 enodes) 18.594 * * [simplify]: iters left: 1 (11 enodes) 18.597 * * [simplify]: Extracting #0: cost 1 inf + 0 18.597 * * [simplify]: Extracting #1: cost 4 inf + 0 18.597 * * [simplify]: Extracting #2: cost 0 inf + 84 18.597 * [simplify]: Simplified to (- re) 18.597 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (- re)) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.598 * * * [progress]: adding candidates to table 19.904 * [progress]: [Phase 3 of 3] Extracting. 19.904 * * [regime]: Finding splitpoints for: (# # # # # # #) 19.906 * * * [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))))) 19.906 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 19.980 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 20.093 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 20.154 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 20.209 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # #) 20.274 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # #) 20.363 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # #) 20.472 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # #) 20.554 * * * [regime]: Found split indices: #