0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.060 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.060 * * [simplify]: iters left: 6 (12 enodes) 0.064 * * [simplify]: iters left: 5 (46 enodes) 0.074 * * [simplify]: iters left: 4 (56 enodes) 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 4 inf + 0 0.088 * * [simplify]: Extracting #2: cost 5 inf + 1 0.089 * * [simplify]: Extracting #3: cost 10 inf + 1 0.089 * * [simplify]: Extracting #4: cost 14 inf + 2 0.089 * * [simplify]: Extracting #5: cost 13 inf + 87 0.089 * * [simplify]: Extracting #6: cost 16 inf + 87 0.089 * * [simplify]: Extracting #7: cost 18 inf + 128 0.089 * * [simplify]: Extracting #8: cost 15 inf + 211 0.090 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.091 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.092 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.093 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.094 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.151 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.194 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.229 * * * [progress]: generating series expansions 0.229 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.229 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [backup-simplify]: Simplify re into re 0.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.230 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.230 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.230 * [taylor]: Taking taylor expansion of im in re 0.230 * [backup-simplify]: Simplify im into im 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.231 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [backup-simplify]: Simplify im into im 0.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.231 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.232 * [taylor]: Taking taylor expansion of im in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.234 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.234 * [taylor]: Taking taylor expansion of 1/2 in im 0.234 * [backup-simplify]: Simplify 1/2 into 1/2 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.237 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.237 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.237 * [backup-simplify]: Simplify re into re 0.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.240 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.240 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [backup-simplify]: Simplify im into im 0.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (sqrt 1) into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [backup-simplify]: Simplify im into im 0.243 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [taylor]: Taking taylor expansion of 1 in im 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.247 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of 1/2 in im 0.247 * [backup-simplify]: Simplify 1/2 into 1/2 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.252 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.253 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [backup-simplify]: Simplify re into re 0.253 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (sqrt 1) into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.255 * [taylor]: Taking taylor expansion of re in re 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.261 * [taylor]: Taking taylor expansion of 1 in im 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of 0 in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.263 * [taylor]: Taking taylor expansion of 1/2 in im 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.268 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.268 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.268 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.268 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [backup-simplify]: Simplify re into re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.268 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [backup-simplify]: Simplify re into re 0.268 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.268 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.268 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.268 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [backup-simplify]: Simplify im into im 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [backup-simplify]: Simplify im into im 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.270 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.270 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 im) into im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [taylor]: Taking taylor expansion of 1 in im 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.272 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.272 * [taylor]: Taking taylor expansion of 1/2 in im 0.272 * [backup-simplify]: Simplify 1/2 into 1/2 0.272 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.276 * [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))))) 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.276 * [backup-simplify]: Simplify re into re 0.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.276 * [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 0.277 * [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 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.281 * [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 0.282 * [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 0.284 * [backup-simplify]: Simplify (sqrt 1) into 1 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.292 * [backup-simplify]: Simplify (+ 1 1) into 2 0.292 * [taylor]: Taking taylor expansion of 2 in im 0.292 * [backup-simplify]: Simplify 2 into 2 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 2 into 2 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.297 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.297 * [taylor]: Taking taylor expansion of 1/2 in im 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.304 * [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)) 0.304 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.304 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 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 0.305 * [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) in im 0.307 * [taylor]: Taking taylor expansion of re in im 0.307 * [backup-simplify]: Simplify re into re 0.307 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.307 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 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 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.307 * [taylor]: Taking taylor expansion of im in re 0.307 * [backup-simplify]: Simplify im into im 0.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.307 * [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 0.308 * [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 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [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)))) (/ 1 re)) in re 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 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.312 * [taylor]: Taking taylor expansion of re in re 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) 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 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.319 * [taylor]: Taking taylor expansion of 1/2 in im 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 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 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.326 * [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)))))) 0.326 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.326 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.327 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.327 * [backup-simplify]: Simplify re into re 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.327 * [backup-simplify]: Simplify re into re 0.327 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.327 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.327 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.328 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.328 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.328 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.329 * [taylor]: Taking taylor expansion of 2.0 in re 0.329 * [backup-simplify]: Simplify 2.0 into 2.0 0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.330 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.330 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.330 * [taylor]: Taking taylor expansion of im in re 0.330 * [backup-simplify]: Simplify im into im 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 im) into im 0.331 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.332 * [taylor]: Taking taylor expansion of 2.0 in re 0.332 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.333 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.333 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.333 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.333 * [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 (* im im) into (pow im 2) 0.333 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.333 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 im) into im 0.334 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.335 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.335 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.336 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (sqrt 0) into 0 0.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.339 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.340 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.340 * [taylor]: Taking taylor expansion of 1/2 in im 0.340 * [backup-simplify]: Simplify 1/2 into 1/2 0.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (sqrt 0) into 0 0.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.346 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.352 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.355 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.356 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.357 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.358 * [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)))) 0.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.360 * [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))))) 0.360 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.360 * [taylor]: Taking taylor expansion of 1/8 in im 0.360 * [backup-simplify]: Simplify 1/8 into 1/8 0.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.360 * [backup-simplify]: Simplify 2.0 into 2.0 0.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 0) into 0 0.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.379 * [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))))))) 0.379 * [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))))))) 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.379 * [taylor]: Taking taylor expansion of 2.0 in im 0.379 * [backup-simplify]: Simplify 2.0 into 2.0 0.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [backup-simplify]: Simplify re into re 0.380 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [backup-simplify]: Simplify re into re 0.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (+ 0 1) into 1 0.381 * [backup-simplify]: Simplify (sqrt 1) into 1 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (sqrt 0) into 0 0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.384 * [taylor]: Taking taylor expansion of 2.0 in re 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 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 0.385 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [backup-simplify]: Simplify (+ 1 1) into 2 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.389 * [taylor]: Taking taylor expansion of 2.0 in re 0.389 * [backup-simplify]: Simplify 2.0 into 2.0 0.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.394 * [backup-simplify]: Simplify (+ 1 1) into 2 0.394 * [backup-simplify]: Simplify (sqrt 0) into 0 0.396 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.396 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.399 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.399 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.399 * [taylor]: Taking taylor expansion of +nan.0 in im 0.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.399 * [taylor]: Taking taylor expansion of 2.0 in im 0.399 * [backup-simplify]: Simplify 2.0 into 2.0 0.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.409 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.409 * [taylor]: Taking taylor expansion of +nan.0 in im 0.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.409 * [taylor]: Taking taylor expansion of 2.0 in im 0.409 * [backup-simplify]: Simplify 2.0 into 2.0 0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.411 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.418 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.418 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.420 * [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)) 0.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.423 * [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)))))) 0.423 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.423 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.423 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.423 * [taylor]: Taking taylor expansion of +nan.0 in im 0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.423 * [taylor]: Taking taylor expansion of 2.0 in im 0.423 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.425 * [taylor]: Taking taylor expansion of +nan.0 in im 0.425 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.425 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.425 * [taylor]: Taking taylor expansion of 2.0 in im 0.425 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.434 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.435 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.436 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [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))) 0.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.448 * [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)))))) 0.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.449 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.449 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.449 * [taylor]: Taking taylor expansion of +nan.0 in im 0.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.449 * [taylor]: Taking taylor expansion of 2.0 in im 0.449 * [backup-simplify]: Simplify 2.0 into 2.0 0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.450 * [taylor]: Taking taylor expansion of +nan.0 in im 0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.450 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.450 * [taylor]: Taking taylor expansion of 2.0 in im 0.450 * [backup-simplify]: Simplify 2.0 into 2.0 0.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.466 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.467 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.472 * [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)))))))) 0.473 * [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)))) 0.473 * [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 0.473 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.473 * [taylor]: Taking taylor expansion of 2.0 in im 0.473 * [backup-simplify]: Simplify 2.0 into 2.0 0.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.474 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.474 * [backup-simplify]: Simplify re into re 0.474 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (+ 0 1) into 1 0.476 * [backup-simplify]: Simplify (sqrt 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 0) into 0 0.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.481 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.481 * [taylor]: Taking taylor expansion of 2.0 in re 0.481 * [backup-simplify]: Simplify 2.0 into 2.0 0.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (- 1) into -1 0.489 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.495 * [backup-simplify]: Simplify (sqrt 0) into 0 0.496 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.496 * [taylor]: Taking taylor expansion of 2.0 in re 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.497 * [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 (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.498 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (sqrt 1) into 1 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.503 * [taylor]: Taking taylor expansion of re in re 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (- 1) into -1 0.504 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.510 * [backup-simplify]: Simplify (sqrt 0) into 0 0.511 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.512 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.513 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.513 * [taylor]: Taking taylor expansion of +nan.0 in im 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.513 * [taylor]: Taking taylor expansion of 2.0 in im 0.513 * [backup-simplify]: Simplify 2.0 into 2.0 0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.526 * [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)))) 0.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.526 * [taylor]: Taking taylor expansion of +nan.0 in im 0.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.526 * [taylor]: Taking taylor expansion of 2.0 in im 0.526 * [backup-simplify]: Simplify 2.0 into 2.0 0.527 * [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 (pow im 4) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.551 * [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))))) 0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.553 * [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)))))) 0.553 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.553 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.553 * [taylor]: Taking taylor expansion of +nan.0 in im 0.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.553 * [taylor]: Taking taylor expansion of 2.0 in im 0.553 * [backup-simplify]: Simplify 2.0 into 2.0 0.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.553 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.555 * [taylor]: Taking taylor expansion of +nan.0 in im 0.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.555 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.555 * [taylor]: Taking taylor expansion of 2.0 in im 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.555 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.555 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * * * [progress]: simplifying candidates 0.586 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 0.586 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.587 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.587 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))) 0.587 * * [simplify]: iters left: 6 (7 enodes) 0.590 * * [simplify]: iters left: 5 (22 enodes) 0.594 * * [simplify]: Extracting #0: cost 1 inf + 0 0.594 * * [simplify]: Extracting #1: cost 3 inf + 0 0.594 * * [simplify]: Extracting #2: cost 5 inf + 0 0.594 * * [simplify]: Extracting #3: cost 8 inf + 0 0.594 * * [simplify]: Extracting #4: cost 12 inf + 0 0.594 * * [simplify]: Extracting #5: cost 10 inf + 2 0.594 * * [simplify]: Extracting #6: cost 1 inf + 966 0.595 * * [simplify]: Extracting #7: cost 0 inf + 1198 0.595 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 0.595 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 0.595 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.595 * [simplify]: Simplifying (exp (sqrt (+ (* re re) (* im im)))) 0.595 * * [simplify]: iters left: 6 (7 enodes) 0.597 * * [simplify]: iters left: 5 (22 enodes) 0.600 * * [simplify]: Extracting #0: cost 1 inf + 0 0.600 * * [simplify]: Extracting #1: cost 3 inf + 0 0.600 * * [simplify]: Extracting #2: cost 5 inf + 0 0.600 * * [simplify]: Extracting #3: cost 8 inf + 0 0.600 * * [simplify]: Extracting #4: cost 12 inf + 0 0.600 * * [simplify]: Extracting #5: cost 10 inf + 2 0.600 * * [simplify]: Extracting #6: cost 1 inf + 966 0.600 * * [simplify]: Extracting #7: cost 0 inf + 1198 0.600 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 0.600 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re))))) 0.600 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.601 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 0.601 * * [simplify]: iters left: 6 (8 enodes) 0.602 * * [simplify]: iters left: 5 (25 enodes) 0.606 * * [simplify]: Extracting #0: cost 1 inf + 0 0.606 * * [simplify]: Extracting #1: cost 3 inf + 0 0.606 * * [simplify]: Extracting #2: cost 5 inf + 0 0.606 * * [simplify]: Extracting #3: cost 7 inf + 0 0.606 * * [simplify]: Extracting #4: cost 10 inf + 0 0.606 * * [simplify]: Extracting #5: cost 14 inf + 0 0.606 * * [simplify]: Extracting #6: cost 11 inf + 43 0.606 * * [simplify]: Extracting #7: cost 9 inf + 125 0.606 * * [simplify]: Extracting #8: cost 5 inf + 572 0.606 * * [simplify]: Extracting #9: cost 1 inf + 1500 0.607 * * [simplify]: Extracting #10: cost 0 inf + 1782 0.607 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 0.607 * [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))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 0.607 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 0.607 * * [simplify]: iters left: 6 (7 enodes) 0.609 * * [simplify]: iters left: 5 (22 enodes) 0.611 * * [simplify]: Extracting #0: cost 1 inf + 0 0.612 * * [simplify]: Extracting #1: cost 3 inf + 0 0.612 * * [simplify]: Extracting #2: cost 5 inf + 0 0.612 * * [simplify]: Extracting #3: cost 8 inf + 0 0.612 * * [simplify]: Extracting #4: cost 12 inf + 0 0.612 * * [simplify]: Extracting #5: cost 10 inf + 2 0.612 * * [simplify]: Extracting #6: cost 1 inf + 976 0.612 * * [simplify]: Extracting #7: cost 0 inf + 1218 0.612 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 0.612 * [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))))) 0.612 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.613 * [simplify]: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) 0.613 * * [simplify]: iters left: 6 (8 enodes) 0.614 * * [simplify]: iters left: 5 (24 enodes) 0.618 * * [simplify]: iters left: 4 (35 enodes) 0.627 * * [simplify]: iters left: 3 (58 enodes) 0.645 * * [simplify]: iters left: 2 (80 enodes) 0.668 * * [simplify]: iters left: 1 (106 enodes) 0.697 * * [simplify]: Extracting #0: cost 1 inf + 0 0.698 * * [simplify]: Extracting #1: cost 11 inf + 0 0.698 * * [simplify]: Extracting #2: cost 27 inf + 1 0.698 * * [simplify]: Extracting #3: cost 28 inf + 87 0.698 * * [simplify]: Extracting #4: cost 21 inf + 980 0.699 * * [simplify]: Extracting #5: cost 6 inf + 5217 0.700 * * [simplify]: Extracting #6: cost 0 inf + 7866 0.701 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 0.701 * [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))))) 0.701 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.702 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.702 * * [simplify]: iters left: 6 (8 enodes) 0.703 * * [simplify]: iters left: 5 (26 enodes) 0.707 * * [simplify]: Extracting #0: cost 1 inf + 0 0.707 * * [simplify]: Extracting #1: cost 4 inf + 0 0.707 * * [simplify]: Extracting #2: cost 7 inf + 0 0.707 * * [simplify]: Extracting #3: cost 10 inf + 0 0.707 * * [simplify]: Extracting #4: cost 14 inf + 0 0.707 * * [simplify]: Extracting #5: cost 10 inf + 84 0.707 * * [simplify]: Extracting #6: cost 8 inf + 166 0.707 * * [simplify]: Extracting #7: cost 4 inf + 854 0.708 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.708 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.708 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.708 * [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))))) 0.708 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 0.708 * * [simplify]: iters left: 6 (7 enodes) 0.710 * * [simplify]: iters left: 5 (22 enodes) 0.713 * * [simplify]: Extracting #0: cost 1 inf + 0 0.713 * * [simplify]: Extracting #1: cost 3 inf + 0 0.713 * * [simplify]: Extracting #2: cost 5 inf + 0 0.713 * * [simplify]: Extracting #3: cost 8 inf + 0 0.713 * * [simplify]: Extracting #4: cost 12 inf + 0 0.713 * * [simplify]: Extracting #5: cost 10 inf + 2 0.713 * * [simplify]: Extracting #6: cost 1 inf + 1056 0.713 * * [simplify]: Extracting #7: cost 0 inf + 1298 0.714 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 0.714 * [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))))) 0.714 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.714 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.714 * * [simplify]: iters left: 6 (7 enodes) 0.715 * * [simplify]: iters left: 5 (22 enodes) 0.718 * * [simplify]: Extracting #0: cost 1 inf + 0 0.718 * * [simplify]: Extracting #1: cost 3 inf + 0 0.718 * * [simplify]: Extracting #2: cost 5 inf + 0 0.719 * * [simplify]: Extracting #3: cost 8 inf + 0 0.719 * * [simplify]: Extracting #4: cost 12 inf + 0 0.719 * * [simplify]: Extracting #5: cost 10 inf + 2 0.719 * * [simplify]: Extracting #6: cost 1 inf + 936 0.719 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.719 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.719 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 0.719 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.720 * * [simplify]: iters left: 6 (7 enodes) 0.721 * * [simplify]: iters left: 5 (22 enodes) 0.724 * * [simplify]: Extracting #0: cost 1 inf + 0 0.724 * * [simplify]: Extracting #1: cost 3 inf + 0 0.724 * * [simplify]: Extracting #2: cost 5 inf + 0 0.724 * * [simplify]: Extracting #3: cost 8 inf + 0 0.724 * * [simplify]: Extracting #4: cost 12 inf + 0 0.724 * * [simplify]: Extracting #5: cost 10 inf + 2 0.725 * * [simplify]: Extracting #6: cost 1 inf + 936 0.725 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.726 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.726 * [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) (* im im))))) re))))) 0.726 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.726 * [simplify]: Simplifying (sqrt 1) 0.727 * * [simplify]: iters left: 1 (2 enodes) 0.729 * * [simplify]: Extracting #0: cost 1 inf + 0 0.730 * * [simplify]: Extracting #1: cost 0 inf + 1 0.730 * [simplify]: Simplified to 1 0.730 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.730 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.730 * * [simplify]: iters left: 5 (6 enodes) 0.733 * * [simplify]: iters left: 4 (19 enodes) 0.738 * * [simplify]: Extracting #0: cost 1 inf + 0 0.738 * * [simplify]: Extracting #1: cost 3 inf + 0 0.738 * * [simplify]: Extracting #2: cost 6 inf + 0 0.738 * * [simplify]: Extracting #3: cost 10 inf + 0 0.738 * * [simplify]: Extracting #4: cost 6 inf + 84 0.738 * * [simplify]: Extracting #5: cost 0 inf + 734 0.738 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 0.738 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.739 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.739 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.739 * * [simplify]: iters left: 6 (9 enodes) 0.744 * * [simplify]: iters left: 5 (45 enodes) 0.764 * * [simplify]: iters left: 4 (100 enodes) 0.811 * * [simplify]: iters left: 3 (201 enodes) 0.866 * * [simplify]: iters left: 2 (406 enodes) 1.022 * * [simplify]: Extracting #0: cost 1 inf + 0 1.023 * * [simplify]: Extracting #1: cost 3 inf + 0 1.023 * * [simplify]: Extracting #2: cost 6 inf + 0 1.023 * * [simplify]: Extracting #3: cost 80 inf + 0 1.024 * * [simplify]: Extracting #4: cost 189 inf + 460 1.026 * * [simplify]: Extracting #5: cost 168 inf + 4664 1.033 * * [simplify]: Extracting #6: cost 84 inf + 34209 1.043 * * [simplify]: Extracting #7: cost 2 inf + 72608 1.052 * * [simplify]: Extracting #8: cost 0 inf + 73363 1.057 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 1.058 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 1.058 * [simplify]: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 1.058 * * [simplify]: iters left: 6 (10 enodes) 1.061 * * [simplify]: iters left: 5 (52 enodes) 1.071 * * [simplify]: iters left: 4 (119 enodes) 1.098 * * [simplify]: iters left: 3 (234 enodes) 1.186 * * [simplify]: iters left: 2 (366 enodes) 1.348 * * [simplify]: Extracting #0: cost 1 inf + 0 1.348 * * [simplify]: Extracting #1: cost 3 inf + 0 1.348 * * [simplify]: Extracting #2: cost 22 inf + 0 1.348 * * [simplify]: Extracting #3: cost 148 inf + 0 1.349 * * [simplify]: Extracting #4: cost 202 inf + 2230 1.354 * * [simplify]: Extracting #5: cost 83 inf + 22274 1.369 * * [simplify]: Extracting #6: cost 1 inf + 35108 1.384 * * [simplify]: Extracting #7: cost 0 inf + 35040 1.398 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 1.398 * [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))))) 1.398 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 1.399 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.399 * * [simplify]: iters left: 6 (8 enodes) 1.403 * * [simplify]: iters left: 5 (37 enodes) 1.419 * * [simplify]: iters left: 4 (67 enodes) 1.441 * * [simplify]: iters left: 3 (123 enodes) 1.480 * * [simplify]: iters left: 2 (278 enodes) 1.586 * * [simplify]: Extracting #0: cost 1 inf + 0 1.586 * * [simplify]: Extracting #1: cost 3 inf + 0 1.586 * * [simplify]: Extracting #2: cost 50 inf + 0 1.586 * * [simplify]: Extracting #3: cost 150 inf + 0 1.587 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.590 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.596 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.604 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.615 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.615 * [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))))) 1.616 * [simplify]: Simplifying (sqrt (- (* re re) (* im im))) 1.616 * * [simplify]: iters left: 5 (6 enodes) 1.619 * * [simplify]: iters left: 4 (23 enodes) 1.625 * * [simplify]: iters left: 3 (36 enodes) 1.630 * * [simplify]: iters left: 2 (53 enodes) 1.639 * * [simplify]: iters left: 1 (94 enodes) 1.659 * * [simplify]: Extracting #0: cost 1 inf + 0 1.659 * * [simplify]: Extracting #1: cost 3 inf + 0 1.659 * * [simplify]: Extracting #2: cost 32 inf + 0 1.659 * * [simplify]: Extracting #3: cost 48 inf + 0 1.660 * * [simplify]: Extracting #4: cost 42 inf + 247 1.661 * * [simplify]: Extracting #5: cost 18 inf + 3412 1.666 * * [simplify]: Extracting #6: cost 0 inf + 5728 1.667 * * [simplify]: Extracting #7: cost 0 inf + 5448 1.668 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 1.668 * [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))))) 1.668 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.669 * [simplify]: Simplifying (/ 1 2) 1.669 * * [simplify]: iters left: 2 (3 enodes) 1.671 * * [simplify]: iters left: 1 (12 enodes) 1.673 * * [simplify]: Extracting #0: cost 1 inf + 0 1.673 * * [simplify]: Extracting #1: cost 0 inf + 1 1.673 * [simplify]: Simplified to 1/2 1.673 * [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))))) 1.673 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.673 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 1.673 * * [simplify]: iters left: 6 (7 enodes) 1.675 * * [simplify]: iters left: 5 (22 enodes) 1.678 * * [simplify]: Extracting #0: cost 1 inf + 0 1.678 * * [simplify]: Extracting #1: cost 3 inf + 0 1.678 * * [simplify]: Extracting #2: cost 5 inf + 0 1.678 * * [simplify]: Extracting #3: cost 8 inf + 0 1.678 * * [simplify]: Extracting #4: cost 12 inf + 0 1.678 * * [simplify]: Extracting #5: cost 10 inf + 2 1.678 * * [simplify]: Extracting #6: cost 1 inf + 936 1.678 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.678 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.679 * [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))))) 1.679 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 1.679 * * [simplify]: iters left: 6 (7 enodes) 1.680 * * [simplify]: iters left: 5 (22 enodes) 1.683 * * [simplify]: Extracting #0: cost 1 inf + 0 1.683 * * [simplify]: Extracting #1: cost 3 inf + 0 1.683 * * [simplify]: Extracting #2: cost 5 inf + 0 1.683 * * [simplify]: Extracting #3: cost 8 inf + 0 1.683 * * [simplify]: Extracting #4: cost 12 inf + 0 1.683 * * [simplify]: Extracting #5: cost 10 inf + 2 1.684 * * [simplify]: Extracting #6: cost 1 inf + 936 1.684 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.684 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.684 * [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) (* im im))))) re))))) 1.684 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.684 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.684 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.684 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* re re) (* im im)))) 1.684 * * [simplify]: iters left: 6 (7 enodes) 1.686 * * [simplify]: iters left: 5 (19 enodes) 1.688 * * [simplify]: Extracting #0: cost 1 inf + 0 1.688 * * [simplify]: Extracting #1: cost 2 inf + 0 1.688 * * [simplify]: Extracting #2: cost 3 inf + 0 1.689 * * [simplify]: Extracting #3: cost 6 inf + 0 1.689 * * [simplify]: Extracting #4: cost 10 inf + 0 1.689 * * [simplify]: Extracting #5: cost 6 inf + 84 1.689 * * [simplify]: Extracting #6: cost 0 inf + 734 1.689 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 1.689 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) 1.689 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.689 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.689 * * [simplify]: iters left: 6 (9 enodes) 1.692 * * [simplify]: iters left: 5 (31 enodes) 1.696 * * [simplify]: iters left: 4 (35 enodes) 1.704 * * [simplify]: Extracting #0: cost 1 inf + 0 1.704 * * [simplify]: Extracting #1: cost 5 inf + 0 1.704 * * [simplify]: Extracting #2: cost 10 inf + 0 1.704 * * [simplify]: Extracting #3: cost 11 inf + 1 1.705 * * [simplify]: Extracting #4: cost 12 inf + 143 1.705 * * [simplify]: Extracting #5: cost 14 inf + 184 1.705 * * [simplify]: Extracting #6: cost 10 inf + 308 1.705 * * [simplify]: Extracting #7: cost 7 inf + 794 1.706 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.707 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.707 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.707 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.707 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.708 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.708 * [simplify]: Simplifying (log (+ (sqrt (+ (* re re) (* im im))) re)) 1.708 * * [simplify]: iters left: 6 (8 enodes) 1.712 * * [simplify]: iters left: 5 (26 enodes) 1.719 * * [simplify]: Extracting #0: cost 1 inf + 0 1.719 * * [simplify]: Extracting #1: cost 3 inf + 0 1.719 * * [simplify]: Extracting #2: cost 6 inf + 0 1.719 * * [simplify]: Extracting #3: cost 7 inf + 1 1.719 * * [simplify]: Extracting #4: cost 10 inf + 1 1.719 * * [simplify]: Extracting #5: cost 12 inf + 42 1.719 * * [simplify]: Extracting #6: cost 9 inf + 125 1.719 * * [simplify]: Extracting #7: cost 5 inf + 572 1.720 * * [simplify]: Extracting #8: cost 1 inf + 1410 1.720 * * [simplify]: Extracting #9: cost 0 inf + 1682 1.721 * [simplify]: Simplified to (log (+ (sqrt (+ (* re re) (* im im))) re)) 1.721 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.721 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.721 * [simplify]: Simplifying (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.722 * * [simplify]: iters left: 6 (8 enodes) 1.725 * * [simplify]: iters left: 5 (29 enodes) 1.733 * * [simplify]: iters left: 4 (34 enodes) 1.742 * * [simplify]: Extracting #0: cost 1 inf + 0 1.742 * * [simplify]: Extracting #1: cost 5 inf + 0 1.742 * * [simplify]: Extracting #2: cost 10 inf + 0 1.742 * * [simplify]: Extracting #3: cost 9 inf + 143 1.742 * * [simplify]: Extracting #4: cost 12 inf + 143 1.743 * * [simplify]: Extracting #5: cost 14 inf + 184 1.743 * * [simplify]: Extracting #6: cost 10 inf + 308 1.743 * * [simplify]: Extracting #7: cost 7 inf + 714 1.744 * * [simplify]: Extracting #8: cost 2 inf + 1814 1.745 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.745 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.745 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.746 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.746 * [simplify]: Simplifying (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 1.746 * * [simplify]: iters left: 6 (9 enodes) 1.750 * * [simplify]: iters left: 5 (29 enodes) 1.757 * * [simplify]: Extracting #0: cost 1 inf + 0 1.757 * * [simplify]: Extracting #1: cost 3 inf + 0 1.758 * * [simplify]: Extracting #2: cost 5 inf + 0 1.758 * * [simplify]: Extracting #3: cost 8 inf + 0 1.758 * * [simplify]: Extracting #4: cost 9 inf + 1 1.758 * * [simplify]: Extracting #5: cost 12 inf + 1 1.758 * * [simplify]: Extracting #6: cost 14 inf + 42 1.758 * * [simplify]: Extracting #7: cost 10 inf + 166 1.758 * * [simplify]: Extracting #8: cost 7 inf + 572 1.759 * * [simplify]: Extracting #9: cost 4 inf + 1218 1.759 * * [simplify]: Extracting #10: cost 1 inf + 2024 1.760 * * [simplify]: Extracting #11: cost 0 inf + 2346 1.761 * [simplify]: Simplified to (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 1.761 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.761 * [simplify]: Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.761 * * [simplify]: iters left: 6 (8 enodes) 1.765 * * [simplify]: iters left: 5 (26 enodes) 1.772 * * [simplify]: Extracting #0: cost 1 inf + 0 1.772 * * [simplify]: Extracting #1: cost 3 inf + 0 1.772 * * [simplify]: Extracting #2: cost 6 inf + 0 1.772 * * [simplify]: Extracting #3: cost 7 inf + 1 1.772 * * [simplify]: Extracting #4: cost 10 inf + 1 1.772 * * [simplify]: Extracting #5: cost 12 inf + 42 1.772 * * [simplify]: Extracting #6: cost 9 inf + 125 1.773 * * [simplify]: Extracting #7: cost 5 inf + 572 1.773 * * [simplify]: Extracting #8: cost 1 inf + 1420 1.774 * * [simplify]: Extracting #9: cost 0 inf + 1702 1.774 * [simplify]: Simplified to (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.774 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.775 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.775 * [simplify]: Simplifying (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) 1.775 * * [simplify]: iters left: 6 (9 enodes) 1.779 * * [simplify]: iters left: 5 (42 enodes) 1.799 * * [simplify]: iters left: 4 (111 enodes) 1.822 * * [simplify]: iters left: 3 (256 enodes) 1.931 * * [simplify]: Extracting #0: cost 1 inf + 0 1.931 * * [simplify]: Extracting #1: cost 23 inf + 0 1.932 * * [simplify]: Extracting #2: cost 99 inf + 1 1.933 * * [simplify]: Extracting #3: cost 111 inf + 125 1.933 * * [simplify]: Extracting #4: cost 110 inf + 248 1.935 * * [simplify]: Extracting #5: cost 98 inf + 2150 1.940 * * [simplify]: Extracting #6: cost 27 inf + 21724 1.948 * * [simplify]: Extracting #7: cost 0 inf + 30418 1.957 * * [simplify]: Extracting #8: cost 0 inf + 30338 1.965 * [simplify]: Simplified to (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) 1.965 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.965 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.966 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.966 * * [simplify]: iters left: 6 (8 enodes) 1.970 * * [simplify]: iters left: 5 (26 enodes) 1.973 * * [simplify]: Extracting #0: cost 1 inf + 0 1.973 * * [simplify]: Extracting #1: cost 3 inf + 0 1.973 * * [simplify]: Extracting #2: cost 6 inf + 0 1.973 * * [simplify]: Extracting #3: cost 7 inf + 1 1.973 * * [simplify]: Extracting #4: cost 10 inf + 1 1.973 * * [simplify]: Extracting #5: cost 12 inf + 42 1.973 * * [simplify]: Extracting #6: cost 9 inf + 125 1.974 * * [simplify]: Extracting #7: cost 5 inf + 572 1.974 * * [simplify]: Extracting #8: cost 1 inf + 1380 1.974 * * [simplify]: Extracting #9: cost 0 inf + 1622 1.974 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.974 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.975 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.975 * * [simplify]: iters left: 6 (8 enodes) 1.977 * * [simplify]: iters left: 5 (26 enodes) 1.980 * * [simplify]: Extracting #0: cost 1 inf + 0 1.980 * * [simplify]: Extracting #1: cost 3 inf + 0 1.980 * * [simplify]: Extracting #2: cost 6 inf + 0 1.980 * * [simplify]: Extracting #3: cost 7 inf + 1 1.980 * * [simplify]: Extracting #4: cost 10 inf + 1 1.980 * * [simplify]: Extracting #5: cost 12 inf + 42 1.980 * * [simplify]: Extracting #6: cost 9 inf + 125 1.980 * * [simplify]: Extracting #7: cost 5 inf + 572 1.981 * * [simplify]: Extracting #8: cost 1 inf + 1380 1.981 * * [simplify]: Extracting #9: cost 0 inf + 1622 1.981 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1.981 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.981 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.981 * [simplify]: Simplifying (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 1.982 * * [simplify]: iters left: 6 (10 enodes) 1.985 * * [simplify]: iters left: 5 (44 enodes) 2.000 * * [simplify]: iters left: 4 (67 enodes) 2.027 * * [simplify]: iters left: 3 (125 enodes) 2.073 * * [simplify]: iters left: 2 (236 enodes) 2.166 * * [simplify]: iters left: 1 (465 enodes) 2.341 * * [simplify]: Extracting #0: cost 1 inf + 0 2.341 * * [simplify]: Extracting #1: cost 9 inf + 0 2.341 * * [simplify]: Extracting #2: cost 74 inf + 0 2.342 * * [simplify]: Extracting #3: cost 150 inf + 298 2.343 * * [simplify]: Extracting #4: cost 136 inf + 3975 2.346 * * [simplify]: Extracting #5: cost 84 inf + 25986 2.358 * * [simplify]: Extracting #6: cost 6 inf + 74253 2.376 * * [simplify]: Extracting #7: cost 0 inf + 77263 2.394 * [simplify]: Simplified to (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) 2.394 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))) 2.395 * [simplify]: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) 2.395 * * [simplify]: iters left: 6 (10 enodes) 2.400 * * [simplify]: iters left: 5 (37 enodes) 2.411 * * [simplify]: iters left: 4 (69 enodes) 2.437 * * [simplify]: iters left: 3 (115 enodes) 2.475 * * [simplify]: iters left: 2 (175 enodes) 2.528 * * [simplify]: iters left: 1 (239 enodes) 2.586 * * [simplify]: Extracting #0: cost 1 inf + 0 2.586 * * [simplify]: Extracting #1: cost 23 inf + 0 2.586 * * [simplify]: Extracting #2: cost 59 inf + 0 2.587 * * [simplify]: Extracting #3: cost 62 inf + 288 2.587 * * [simplify]: Extracting #4: cost 41 inf + 2396 2.589 * * [simplify]: Extracting #5: cost 28 inf + 5461 2.592 * * [simplify]: Extracting #6: cost 2 inf + 11553 2.596 * * [simplify]: Extracting #7: cost 0 inf + 12037 2.599 * [simplify]: Simplified to (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) 2.600 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))))))) 2.600 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 2.600 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 2.600 * [simplify]: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) 2.600 * * [simplify]: iters left: 6 (8 enodes) 2.604 * * [simplify]: iters left: 5 (28 enodes) 2.613 * * [simplify]: iters left: 4 (50 enodes) 2.631 * * [simplify]: iters left: 3 (80 enodes) 2.658 * * [simplify]: iters left: 2 (147 enodes) 2.733 * * [simplify]: iters left: 1 (361 enodes) 3.234 * * [simplify]: Extracting #0: cost 1 inf + 0 3.234 * * [simplify]: Extracting #1: cost 86 inf + 0 3.237 * * [simplify]: Extracting #2: cost 391 inf + 43 3.242 * * [simplify]: Extracting #3: cost 351 inf + 6321 3.259 * * [simplify]: Extracting #4: cost 205 inf + 43328 3.303 * * [simplify]: Extracting #5: cost 11 inf + 107071 3.335 * * [simplify]: Extracting #6: cost 0 inf + 110217 3.387 * [simplify]: Simplified to (* im im) 3.388 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 3.388 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 3.388 * * [simplify]: iters left: 6 (7 enodes) 3.391 * * [simplify]: iters left: 5 (24 enodes) 3.398 * * [simplify]: iters left: 4 (27 enodes) 3.406 * * [simplify]: Extracting #0: cost 1 inf + 0 3.406 * * [simplify]: Extracting #1: cost 5 inf + 0 3.406 * * [simplify]: Extracting #2: cost 7 inf + 1 3.406 * * [simplify]: Extracting #3: cost 8 inf + 83 3.406 * * [simplify]: Extracting #4: cost 10 inf + 124 3.406 * * [simplify]: Extracting #5: cost 6 inf + 248 3.406 * * [simplify]: Extracting #6: cost 3 inf + 654 3.407 * * [simplify]: Extracting #7: cost 1 inf + 1018 3.407 * * [simplify]: Extracting #8: cost 0 inf + 1220 3.408 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 3.408 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 3.408 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 3.408 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 3.409 * * [simplify]: iters left: 6 (7 enodes) 3.412 * * [simplify]: iters left: 5 (23 enodes) 3.418 * * [simplify]: Extracting #0: cost 1 inf + 0 3.418 * * [simplify]: Extracting #1: cost 4 inf + 0 3.418 * * [simplify]: Extracting #2: cost 5 inf + 1 3.418 * * [simplify]: Extracting #3: cost 8 inf + 1 3.418 * * [simplify]: Extracting #4: cost 10 inf + 42 3.418 * * [simplify]: Extracting #5: cost 8 inf + 84 3.419 * * [simplify]: Extracting #6: cost 1 inf + 936 3.419 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.420 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 3.420 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 3.420 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 3.420 * [simplify]: Simplifying (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) 3.420 * * [simplify]: iters left: 6 (8 enodes) 3.424 * * [simplify]: iters left: 5 (23 enodes) 3.430 * * [simplify]: Extracting #0: cost 1 inf + 0 3.430 * * [simplify]: Extracting #1: cost 2 inf + 0 3.430 * * [simplify]: Extracting #2: cost 4 inf + 0 3.430 * * [simplify]: Extracting #3: cost 5 inf + 1 3.430 * * [simplify]: Extracting #4: cost 8 inf + 1 3.430 * * [simplify]: Extracting #5: cost 10 inf + 42 3.430 * * [simplify]: Extracting #6: cost 8 inf + 84 3.431 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.431 * [simplify]: Simplified to (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) 3.431 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))))))) 3.431 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 3.431 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 3.431 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 3.432 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 3.432 * [simplify]: Simplifying (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 3.432 * * [simplify]: iters left: 6 (11 enodes) 3.437 * * [simplify]: iters left: 5 (42 enodes) 3.450 * * [simplify]: iters left: 4 (52 enodes) 3.459 * * [simplify]: Extracting #0: cost 1 inf + 0 3.459 * * [simplify]: Extracting #1: cost 3 inf + 0 3.459 * * [simplify]: Extracting #2: cost 5 inf + 0 3.459 * * [simplify]: Extracting #3: cost 10 inf + 0 3.459 * * [simplify]: Extracting #4: cost 14 inf + 1 3.459 * * [simplify]: Extracting #5: cost 14 inf + 44 3.459 * * [simplify]: Extracting #6: cost 16 inf + 86 3.459 * * [simplify]: Extracting #7: cost 18 inf + 127 3.460 * * [simplify]: Extracting #8: cost 16 inf + 169 3.460 * * [simplify]: Extracting #9: cost 13 inf + 373 3.460 * * [simplify]: Extracting #10: cost 8 inf + 1224 3.460 * * [simplify]: Extracting #11: cost 3 inf + 2398 3.461 * * [simplify]: Extracting #12: cost 0 inf + 3387 3.462 * [simplify]: Simplified to (log (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 3.462 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (log (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 3.462 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 3.462 * [simplify]: Simplifying (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 3.462 * * [simplify]: iters left: 6 (11 enodes) 3.465 * * [simplify]: iters left: 5 (42 enodes) 3.472 * * [simplify]: iters left: 4 (52 enodes) 3.479 * * [simplify]: Extracting #0: cost 1 inf + 0 3.479 * * [simplify]: Extracting #1: cost 3 inf + 0 3.479 * * [simplify]: Extracting #2: cost 5 inf + 0 3.479 * * [simplify]: Extracting #3: cost 10 inf + 0 3.479 * * [simplify]: Extracting #4: cost 14 inf + 1 3.479 * * [simplify]: Extracting #5: cost 14 inf + 44 3.480 * * [simplify]: Extracting #6: cost 16 inf + 86 3.480 * * [simplify]: Extracting #7: cost 18 inf + 127 3.480 * * [simplify]: Extracting #8: cost 16 inf + 169 3.480 * * [simplify]: Extracting #9: cost 13 inf + 373 3.481 * * [simplify]: Extracting #10: cost 8 inf + 1224 3.481 * * [simplify]: Extracting #11: cost 3 inf + 2398 3.483 * * [simplify]: Extracting #12: cost 0 inf + 3387 3.484 * [simplify]: Simplified to (exp (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 3.484 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (log (exp (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 3.484 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 3.484 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 3.485 * * [simplify]: iters left: 6 (12 enodes) 3.491 * * [simplify]: iters left: 5 (45 enodes) 3.500 * * [simplify]: iters left: 4 (55 enodes) 3.508 * * [simplify]: Extracting #0: cost 1 inf + 0 3.508 * * [simplify]: Extracting #1: cost 3 inf + 0 3.508 * * [simplify]: Extracting #2: cost 5 inf + 0 3.508 * * [simplify]: Extracting #3: cost 7 inf + 0 3.508 * * [simplify]: Extracting #4: cost 12 inf + 0 3.508 * * [simplify]: Extracting #5: cost 16 inf + 1 3.508 * * [simplify]: Extracting #6: cost 17 inf + 2 3.508 * * [simplify]: Extracting #7: cost 19 inf + 44 3.508 * * [simplify]: Extracting #8: cost 20 inf + 127 3.508 * * [simplify]: Extracting #9: cost 15 inf + 373 3.509 * * [simplify]: Extracting #10: cost 5 inf + 2398 3.509 * * [simplify]: Extracting #11: cost 1 inf + 3850 3.510 * * [simplify]: Extracting #12: cost 0 inf + 4213 3.511 * [simplify]: Simplified to (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) 3.511 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 3.511 * [simplify]: Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 3.511 * * [simplify]: iters left: 6 (11 enodes) 3.514 * * [simplify]: iters left: 5 (42 enodes) 3.522 * * [simplify]: iters left: 4 (52 enodes) 3.532 * * [simplify]: Extracting #0: cost 1 inf + 0 3.532 * * [simplify]: Extracting #1: cost 3 inf + 0 3.533 * * [simplify]: Extracting #2: cost 5 inf + 0 3.533 * * [simplify]: Extracting #3: cost 10 inf + 0 3.533 * * [simplify]: Extracting #4: cost 14 inf + 1 3.533 * * [simplify]: Extracting #5: cost 14 inf + 44 3.533 * * [simplify]: Extracting #6: cost 16 inf + 86 3.533 * * [simplify]: Extracting #7: cost 18 inf + 127 3.533 * * [simplify]: Extracting #8: cost 16 inf + 169 3.534 * * [simplify]: Extracting #9: cost 13 inf + 373 3.534 * * [simplify]: Extracting #10: cost 8 inf + 1224 3.535 * * [simplify]: Extracting #11: cost 3 inf + 2398 3.536 * * [simplify]: Extracting #12: cost 0 inf + 3407 3.537 * [simplify]: Simplified to (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 3.537 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 3.538 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 3.538 * [simplify]: Simplifying (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 3.538 * * [simplify]: iters left: 6 (12 enodes) 3.544 * * [simplify]: iters left: 5 (44 enodes) 3.559 * * [simplify]: iters left: 4 (77 enodes) 3.576 * * [simplify]: iters left: 3 (142 enodes) 3.599 * * [simplify]: iters left: 2 (174 enodes) 3.620 * * [simplify]: iters left: 1 (202 enodes) 3.651 * * [simplify]: Extracting #0: cost 1 inf + 0 3.652 * * [simplify]: Extracting #1: cost 15 inf + 0 3.652 * * [simplify]: Extracting #2: cost 33 inf + 2 3.652 * * [simplify]: Extracting #3: cost 39 inf + 5 3.652 * * [simplify]: Extracting #4: cost 40 inf + 90 3.653 * * [simplify]: Extracting #5: cost 41 inf + 132 3.653 * * [simplify]: Extracting #6: cost 32 inf + 1148 3.654 * * [simplify]: Extracting #7: cost 26 inf + 2403 3.658 * * [simplify]: Extracting #8: cost 6 inf + 10260 3.663 * * [simplify]: Extracting #9: cost 0 inf + 13806 3.668 * [simplify]: Simplified to (* (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 3.668 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))))) 3.668 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 3.669 * [simplify]: Simplifying (sqrt 2.0) 3.669 * * [simplify]: iters left: 1 (2 enodes) 3.670 * * [simplify]: Extracting #0: cost 1 inf + 0 3.670 * * [simplify]: Extracting #1: cost 3 inf + 0 3.670 * * [simplify]: Extracting #2: cost 2 inf + 1 3.671 * * [simplify]: Extracting #3: cost 0 inf + 83 3.671 * [simplify]: Simplified to (sqrt 2.0) 3.671 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 3.671 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3.671 * * [simplify]: iters left: 6 (8 enodes) 3.675 * * [simplify]: iters left: 5 (26 enodes) 3.681 * * [simplify]: Extracting #0: cost 1 inf + 0 3.681 * * [simplify]: Extracting #1: cost 3 inf + 0 3.681 * * [simplify]: Extracting #2: cost 6 inf + 0 3.681 * * [simplify]: Extracting #3: cost 7 inf + 1 3.681 * * [simplify]: Extracting #4: cost 10 inf + 1 3.682 * * [simplify]: Extracting #5: cost 12 inf + 42 3.682 * * [simplify]: Extracting #6: cost 9 inf + 125 3.682 * * [simplify]: Extracting #7: cost 5 inf + 572 3.682 * * [simplify]: Extracting #8: cost 1 inf + 1380 3.683 * * [simplify]: Extracting #9: cost 0 inf + 1622 3.683 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3.683 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 3.684 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 3.684 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3.684 * * [simplify]: iters left: 6 (13 enodes) 3.692 * * [simplify]: iters left: 5 (60 enodes) 3.714 * * [simplify]: iters left: 4 (109 enodes) 3.736 * * [simplify]: iters left: 3 (209 enodes) 3.816 * * [simplify]: iters left: 2 (444 enodes) 3.958 * * [simplify]: Extracting #0: cost 1 inf + 0 3.958 * * [simplify]: Extracting #1: cost 3 inf + 0 3.958 * * [simplify]: Extracting #2: cost 14 inf + 0 3.959 * * [simplify]: Extracting #3: cost 101 inf + 1 3.959 * * [simplify]: Extracting #4: cost 197 inf + 736 3.962 * * [simplify]: Extracting #5: cost 136 inf + 15252 3.971 * * [simplify]: Extracting #6: cost 21 inf + 68063 3.989 * * [simplify]: Extracting #7: cost 0 inf + 78027 4.002 * * [simplify]: Extracting #8: cost 0 inf + 77645 4.014 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 4.015 * [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))))))) 4.015 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 4.015 * * [simplify]: iters left: 6 (11 enodes) 4.017 * * [simplify]: iters left: 5 (40 enodes) 4.024 * * [simplify]: iters left: 4 (72 enodes) 4.040 * * [simplify]: iters left: 3 (118 enodes) 4.059 * * [simplify]: iters left: 2 (178 enodes) 4.088 * * [simplify]: iters left: 1 (245 enodes) 4.164 * * [simplify]: Extracting #0: cost 1 inf + 0 4.164 * * [simplify]: Extracting #1: cost 3 inf + 0 4.164 * * [simplify]: Extracting #2: cost 25 inf + 0 4.165 * * [simplify]: Extracting #3: cost 63 inf + 0 4.165 * * [simplify]: Extracting #4: cost 65 inf + 369 4.166 * * [simplify]: Extracting #5: cost 48 inf + 2032 4.169 * * [simplify]: Extracting #6: cost 33 inf + 4979 4.175 * * [simplify]: Extracting #7: cost 3 inf + 12519 4.183 * * [simplify]: Extracting #8: cost 0 inf + 13285 4.190 * [simplify]: Simplified to (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))) 4.190 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))))))) 4.191 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 4.191 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 4.191 * * [simplify]: iters left: 6 (11 enodes) 4.197 * * [simplify]: iters left: 5 (38 enodes) 4.212 * * [simplify]: iters left: 4 (70 enodes) 4.240 * * [simplify]: iters left: 3 (163 enodes) 4.316 * * [simplify]: iters left: 2 (402 enodes) 4.573 * * [simplify]: Extracting #0: cost 1 inf + 0 4.573 * * [simplify]: Extracting #1: cost 3 inf + 0 4.573 * * [simplify]: Extracting #2: cost 60 inf + 0 4.574 * * [simplify]: Extracting #3: cost 166 inf + 208 4.576 * * [simplify]: Extracting #4: cost 205 inf + 1480 4.583 * * [simplify]: Extracting #5: cost 133 inf + 14569 4.604 * * [simplify]: Extracting #6: cost 20 inf + 46377 4.618 * * [simplify]: Extracting #7: cost 0 inf + 52943 4.632 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 4.632 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.632 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 4.632 * * [simplify]: iters left: 6 (8 enodes) 4.634 * * [simplify]: iters left: 5 (27 enodes) 4.639 * * [simplify]: iters left: 4 (30 enodes) 4.647 * * [simplify]: Extracting #0: cost 1 inf + 0 4.647 * * [simplify]: Extracting #1: cost 3 inf + 0 4.647 * * [simplify]: Extracting #2: cost 7 inf + 0 4.647 * * [simplify]: Extracting #3: cost 9 inf + 1 4.647 * * [simplify]: Extracting #4: cost 10 inf + 83 4.647 * * [simplify]: Extracting #5: cost 12 inf + 124 4.647 * * [simplify]: Extracting #6: cost 9 inf + 207 4.648 * * [simplify]: Extracting #7: cost 5 inf + 654 4.648 * * [simplify]: Extracting #8: cost 1 inf + 1462 4.649 * * [simplify]: Extracting #9: cost 0 inf + 1704 4.649 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 4.649 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.650 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 4.650 * [simplify]: Simplifying (/ 1 2) 4.650 * * [simplify]: iters left: 2 (3 enodes) 4.653 * * [simplify]: iters left: 1 (12 enodes) 4.658 * * [simplify]: Extracting #0: cost 1 inf + 0 4.658 * * [simplify]: Extracting #1: cost 0 inf + 1 4.658 * [simplify]: Simplified to 1/2 4.658 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 4.658 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 4.659 * [simplify]: Simplifying (/ 1 2) 4.659 * * [simplify]: iters left: 2 (3 enodes) 4.662 * * [simplify]: iters left: 1 (12 enodes) 4.666 * * [simplify]: Extracting #0: cost 1 inf + 0 4.666 * * [simplify]: Extracting #1: cost 0 inf + 1 4.666 * [simplify]: Simplified to 1/2 4.666 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2))) 4.666 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 4.667 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 4.667 * * [simplify]: iters left: 6 (11 enodes) 4.672 * * [simplify]: iters left: 5 (42 enodes) 4.685 * * [simplify]: iters left: 4 (52 enodes) 4.695 * * [simplify]: Extracting #0: cost 1 inf + 0 4.695 * * [simplify]: Extracting #1: cost 3 inf + 0 4.695 * * [simplify]: Extracting #2: cost 5 inf + 0 4.695 * * [simplify]: Extracting #3: cost 10 inf + 0 4.695 * * [simplify]: Extracting #4: cost 14 inf + 1 4.695 * * [simplify]: Extracting #5: cost 14 inf + 44 4.695 * * [simplify]: Extracting #6: cost 16 inf + 86 4.696 * * [simplify]: Extracting #7: cost 18 inf + 127 4.696 * * [simplify]: Extracting #8: cost 16 inf + 169 4.696 * * [simplify]: Extracting #9: cost 13 inf + 373 4.696 * * [simplify]: Extracting #10: cost 8 inf + 1224 4.696 * * [simplify]: Extracting #11: cost 3 inf + 2398 4.697 * * [simplify]: Extracting #12: cost 0 inf + 3327 4.698 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 4.698 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))) 4.698 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 4.698 * * [simplify]: iters left: 6 (11 enodes) 4.701 * * [simplify]: iters left: 5 (42 enodes) 4.707 * * [simplify]: iters left: 4 (52 enodes) 4.714 * * [simplify]: Extracting #0: cost 1 inf + 0 4.714 * * [simplify]: Extracting #1: cost 3 inf + 0 4.714 * * [simplify]: Extracting #2: cost 5 inf + 0 4.714 * * [simplify]: Extracting #3: cost 10 inf + 0 4.714 * * [simplify]: Extracting #4: cost 14 inf + 1 4.714 * * [simplify]: Extracting #5: cost 14 inf + 44 4.714 * * [simplify]: Extracting #6: cost 16 inf + 86 4.714 * * [simplify]: Extracting #7: cost 18 inf + 127 4.714 * * [simplify]: Extracting #8: cost 16 inf + 169 4.715 * * [simplify]: Extracting #9: cost 13 inf + 373 4.715 * * [simplify]: Extracting #10: cost 8 inf + 1224 4.716 * * [simplify]: Extracting #11: cost 3 inf + 2398 4.716 * * [simplify]: Extracting #12: cost 0 inf + 3327 4.717 * [simplify]: Simplified to (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 4.717 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 4.717 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 4.717 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 4.717 * [simplify]: Simplifying (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 4.717 * * [simplify]: iters left: 6 (11 enodes) 4.720 * * [simplify]: iters left: 5 (39 enodes) 4.726 * * [simplify]: iters left: 4 (49 enodes) 4.732 * * [simplify]: Extracting #0: cost 1 inf + 0 4.732 * * [simplify]: Extracting #1: cost 2 inf + 0 4.732 * * [simplify]: Extracting #2: cost 3 inf + 0 4.732 * * [simplify]: Extracting #3: cost 8 inf + 0 4.732 * * [simplify]: Extracting #4: cost 12 inf + 1 4.732 * * [simplify]: Extracting #5: cost 12 inf + 44 4.733 * * [simplify]: Extracting #6: cost 14 inf + 86 4.733 * * [simplify]: Extracting #7: cost 16 inf + 127 4.733 * * [simplify]: Extracting #8: cost 14 inf + 169 4.733 * * [simplify]: Extracting #9: cost 11 inf + 373 4.733 * * [simplify]: Extracting #10: cost 5 inf + 1427 4.734 * * [simplify]: Extracting #11: cost 2 inf + 2115 4.734 * * [simplify]: Extracting #12: cost 0 inf + 2681 4.735 * [simplify]: Simplified to (real->posit16 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) 4.735 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))))) 4.735 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 4.735 * [simplify]: Simplifying im 4.735 * * [simplify]: iters left: 0 (1 enodes) 4.735 * * [simplify]: Extracting #0: cost 1 inf + 0 4.735 * * [simplify]: Extracting #1: cost 0 inf + 1 4.735 * [simplify]: Simplified to im 4.735 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 4.735 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 4.735 * [simplify]: Simplifying re 4.735 * * [simplify]: iters left: 0 (1 enodes) 4.736 * * [simplify]: Extracting #0: cost 1 inf + 0 4.736 * * [simplify]: Extracting #1: cost 0 inf + 1 4.736 * [simplify]: Simplified to re 4.736 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 4.736 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 4.736 * [simplify]: Simplifying (* -1 re) 4.736 * * [simplify]: iters left: 2 (3 enodes) 4.738 * * [simplify]: iters left: 1 (11 enodes) 4.741 * * [simplify]: Extracting #0: cost 1 inf + 0 4.741 * * [simplify]: Extracting #1: cost 4 inf + 0 4.741 * * [simplify]: Extracting #2: cost 0 inf + 84 4.742 * [simplify]: Simplified to (- re) 4.742 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 4.742 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 4.742 * [simplify]: Simplifying (+ re im) 4.742 * * [simplify]: iters left: 2 (3 enodes) 4.743 * * [simplify]: iters left: 1 (10 enodes) 4.746 * * [simplify]: Extracting #0: cost 1 inf + 0 4.746 * * [simplify]: Extracting #1: cost 4 inf + 0 4.746 * * [simplify]: Extracting #2: cost 2 inf + 2 4.746 * * [simplify]: Extracting #3: cost 0 inf + 86 4.746 * [simplify]: Simplified to (+ im re) 4.746 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 4.747 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 4.747 * [simplify]: Simplifying (* 2 re) 4.747 * * [simplify]: iters left: 2 (3 enodes) 4.749 * * [simplify]: iters left: 1 (10 enodes) 4.752 * * [simplify]: Extracting #0: cost 1 inf + 0 4.752 * * [simplify]: Extracting #1: cost 4 inf + 0 4.752 * * [simplify]: Extracting #2: cost 2 inf + 2 4.752 * * [simplify]: Extracting #3: cost 0 inf + 86 4.752 * [simplify]: Simplified to (* 2 re) 4.753 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 4.753 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 4.753 * [simplify]: Simplifying 0 4.753 * * [simplify]: iters left: 0 (1 enodes) 4.754 * * [simplify]: Extracting #0: cost 1 inf + 0 4.754 * * [simplify]: Extracting #1: cost 0 inf + 1 4.754 * [simplify]: Simplified to 0 4.754 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 4.754 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 4.755 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 4.755 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 4.755 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 4.755 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.755 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 4.755 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 4.756 * [simplify]: Simplifying 0 4.756 * * [simplify]: iters left: 0 (1 enodes) 4.757 * * [simplify]: Extracting #0: cost 1 inf + 0 4.757 * * [simplify]: Extracting #1: cost 0 inf + 1 4.757 * [simplify]: Simplified to 0 4.757 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 4.757 * * * [progress]: adding candidates to table 5.318 * * [progress]: iteration 2 / 4 5.318 * * * [progress]: picking best candidate 5.350 * * * * [pick]: Picked # 5.350 * * * [progress]: localizing error 5.386 * * * [progress]: generating rewritten candidates 5.386 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 5.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 5.398 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 5.431 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 5.494 * * * [progress]: generating series expansions 5.494 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 5.495 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.495 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.495 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.495 * [taylor]: Taking taylor expansion of im in im 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.495 * [taylor]: Taking taylor expansion of re in im 5.495 * [backup-simplify]: Simplify re into re 5.495 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.495 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.495 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.495 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.495 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.496 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.496 * [taylor]: Taking taylor expansion of im in re 5.496 * [backup-simplify]: Simplify im into im 5.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.496 * [taylor]: Taking taylor expansion of re in re 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.496 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.496 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.496 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.496 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.496 * [taylor]: Taking taylor expansion of im in re 5.496 * [backup-simplify]: Simplify im into im 5.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.496 * [taylor]: Taking taylor expansion of re in re 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.497 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.497 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.497 * [taylor]: Taking taylor expansion of im in im 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [taylor]: Taking taylor expansion of 0 in im 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.498 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.498 * [backup-simplify]: Simplify (* 1 1) into 1 5.498 * [backup-simplify]: Simplify (+ 0 1) into 1 5.499 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.499 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.499 * [taylor]: Taking taylor expansion of 1/2 in im 5.499 * [backup-simplify]: Simplify 1/2 into 1/2 5.499 * [taylor]: Taking taylor expansion of im in im 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.501 * [backup-simplify]: Simplify (+ 0 0) into 0 5.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.502 * [taylor]: Taking taylor expansion of 0 in im 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.503 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.503 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.503 * [taylor]: Taking taylor expansion of re in im 5.503 * [backup-simplify]: Simplify re into re 5.503 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.504 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.504 * [taylor]: Taking taylor expansion of im in im 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (* 1 1) into 1 5.504 * [backup-simplify]: Simplify (/ 1 1) into 1 5.505 * [backup-simplify]: Simplify (+ 0 1) into 1 5.505 * [backup-simplify]: Simplify (sqrt 1) into 1 5.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.507 * [backup-simplify]: Simplify (+ 0 0) into 0 5.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.508 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.508 * [taylor]: Taking taylor expansion of re in re 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (* 1 1) into 1 5.509 * [backup-simplify]: Simplify (/ 1 1) into 1 5.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.509 * [taylor]: Taking taylor expansion of im in re 5.509 * [backup-simplify]: Simplify im into im 5.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.510 * [backup-simplify]: Simplify (+ 1 0) into 1 5.510 * [backup-simplify]: Simplify (sqrt 1) into 1 5.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (+ 0 0) into 0 5.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.513 * [taylor]: Taking taylor expansion of re in re 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (* 1 1) into 1 5.514 * [backup-simplify]: Simplify (/ 1 1) into 1 5.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.514 * [taylor]: Taking taylor expansion of im in re 5.514 * [backup-simplify]: Simplify im into im 5.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.514 * [backup-simplify]: Simplify (+ 1 0) into 1 5.515 * [backup-simplify]: Simplify (sqrt 1) into 1 5.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.517 * [taylor]: Taking taylor expansion of 1 in im 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of 0 in im 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.521 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.521 * [taylor]: Taking taylor expansion of 1/2 in im 5.521 * [backup-simplify]: Simplify 1/2 into 1/2 5.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.521 * [taylor]: Taking taylor expansion of im in im 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.526 * [backup-simplify]: Simplify (+ 0 0) into 0 5.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.527 * [taylor]: Taking taylor expansion of 0 in im 5.527 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.529 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.529 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.529 * [taylor]: Taking taylor expansion of re in im 5.529 * [backup-simplify]: Simplify re into re 5.529 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.530 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.530 * [taylor]: Taking taylor expansion of im in im 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (* 1 1) into 1 5.530 * [backup-simplify]: Simplify (/ 1 1) into 1 5.531 * [backup-simplify]: Simplify (+ 0 1) into 1 5.531 * [backup-simplify]: Simplify (sqrt 1) into 1 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.534 * [taylor]: Taking taylor expansion of re in re 5.534 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (* 1 1) into 1 5.535 * [backup-simplify]: Simplify (/ 1 1) into 1 5.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.535 * [taylor]: Taking taylor expansion of im in re 5.535 * [backup-simplify]: Simplify im into im 5.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.535 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.535 * [backup-simplify]: Simplify (+ 1 0) into 1 5.536 * [backup-simplify]: Simplify (sqrt 1) into 1 5.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.538 * [backup-simplify]: Simplify (+ 0 0) into 0 5.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.538 * [taylor]: Taking taylor expansion of re in re 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify (* 1 1) into 1 5.539 * [backup-simplify]: Simplify (/ 1 1) into 1 5.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.539 * [taylor]: Taking taylor expansion of im in re 5.539 * [backup-simplify]: Simplify im into im 5.539 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.540 * [backup-simplify]: Simplify (+ 1 0) into 1 5.540 * [backup-simplify]: Simplify (sqrt 1) into 1 5.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.542 * [taylor]: Taking taylor expansion of 1 in im 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [taylor]: Taking taylor expansion of 0 in im 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.544 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.544 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.544 * [taylor]: Taking taylor expansion of 1/2 in im 5.544 * [backup-simplify]: Simplify 1/2 into 1/2 5.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.544 * [taylor]: Taking taylor expansion of im in im 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (* 1 1) into 1 5.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.547 * [taylor]: Taking taylor expansion of 0 in im 5.547 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.551 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 5.552 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.552 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.552 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.552 * [taylor]: Taking taylor expansion of im in im 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.552 * [taylor]: Taking taylor expansion of re in im 5.552 * [backup-simplify]: Simplify re into re 5.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.552 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.552 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.552 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.552 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.553 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.553 * [taylor]: Taking taylor expansion of im in re 5.553 * [backup-simplify]: Simplify im into im 5.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.553 * [taylor]: Taking taylor expansion of re in re 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.553 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.553 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.553 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.553 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.553 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.553 * [taylor]: Taking taylor expansion of im in re 5.553 * [backup-simplify]: Simplify im into im 5.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.553 * [taylor]: Taking taylor expansion of re in re 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.554 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.554 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.554 * [taylor]: Taking taylor expansion of im in im 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [taylor]: Taking taylor expansion of 0 in im 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.555 * [backup-simplify]: Simplify (* 1 1) into 1 5.555 * [backup-simplify]: Simplify (+ 0 1) into 1 5.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.556 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.556 * [taylor]: Taking taylor expansion of 1/2 in im 5.556 * [backup-simplify]: Simplify 1/2 into 1/2 5.556 * [taylor]: Taking taylor expansion of im in im 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.558 * [taylor]: Taking taylor expansion of 0 in im 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.559 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.559 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.559 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.559 * [taylor]: Taking taylor expansion of re in im 5.559 * [backup-simplify]: Simplify re into re 5.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.559 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.559 * [taylor]: Taking taylor expansion of im in im 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* 1 1) into 1 5.560 * [backup-simplify]: Simplify (/ 1 1) into 1 5.560 * [backup-simplify]: Simplify (+ 0 1) into 1 5.560 * [backup-simplify]: Simplify (sqrt 1) into 1 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.561 * [backup-simplify]: Simplify (+ 0 0) into 0 5.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.562 * [taylor]: Taking taylor expansion of re in re 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (* 1 1) into 1 5.562 * [backup-simplify]: Simplify (/ 1 1) into 1 5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.562 * [taylor]: Taking taylor expansion of im in re 5.562 * [backup-simplify]: Simplify im into im 5.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.563 * [backup-simplify]: Simplify (+ 1 0) into 1 5.563 * [backup-simplify]: Simplify (sqrt 1) into 1 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ 0 0) into 0 5.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.565 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.565 * [taylor]: Taking taylor expansion of re in re 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (* 1 1) into 1 5.565 * [backup-simplify]: Simplify (/ 1 1) into 1 5.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.565 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.565 * [taylor]: Taking taylor expansion of im in re 5.565 * [backup-simplify]: Simplify im into im 5.565 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.565 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.566 * [backup-simplify]: Simplify (+ 1 0) into 1 5.566 * [backup-simplify]: Simplify (sqrt 1) into 1 5.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.567 * [taylor]: Taking taylor expansion of 1 in im 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of 0 in im 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.571 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.571 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.571 * [taylor]: Taking taylor expansion of 1/2 in im 5.571 * [backup-simplify]: Simplify 1/2 into 1/2 5.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.571 * [taylor]: Taking taylor expansion of im in im 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (* 1 1) into 1 5.572 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.577 * [taylor]: Taking taylor expansion of 0 in im 5.577 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.580 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.580 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.580 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.580 * [taylor]: Taking taylor expansion of re in im 5.580 * [backup-simplify]: Simplify re into re 5.580 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.580 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.580 * [taylor]: Taking taylor expansion of im in im 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (* 1 1) into 1 5.581 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [backup-simplify]: Simplify (+ 0 1) into 1 5.582 * [backup-simplify]: Simplify (sqrt 1) into 1 5.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.584 * [taylor]: Taking taylor expansion of re in re 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (* 1 1) into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.585 * [taylor]: Taking taylor expansion of im in re 5.585 * [backup-simplify]: Simplify im into im 5.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.586 * [backup-simplify]: Simplify (+ 1 0) into 1 5.586 * [backup-simplify]: Simplify (sqrt 1) into 1 5.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.589 * [taylor]: Taking taylor expansion of re in re 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (* 1 1) into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.590 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.590 * [taylor]: Taking taylor expansion of im in re 5.590 * [backup-simplify]: Simplify im into im 5.590 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.590 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.590 * [backup-simplify]: Simplify (+ 1 0) into 1 5.591 * [backup-simplify]: Simplify (sqrt 1) into 1 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.593 * [taylor]: Taking taylor expansion of 1 in im 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [taylor]: Taking taylor expansion of 0 in im 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.597 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.597 * [taylor]: Taking taylor expansion of 1/2 in im 5.597 * [backup-simplify]: Simplify 1/2 into 1/2 5.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.597 * [taylor]: Taking taylor expansion of im in im 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 1 into 1 5.597 * [backup-simplify]: Simplify (* 1 1) into 1 5.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.602 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.603 * [taylor]: Taking taylor expansion of 0 in im 5.603 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.605 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 5.606 * [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)))) 5.606 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 5.606 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 5.606 * [taylor]: Taking taylor expansion of re in im 5.606 * [backup-simplify]: Simplify re into re 5.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.606 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.606 * [taylor]: Taking taylor expansion of im in im 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.606 * [taylor]: Taking taylor expansion of re in im 5.606 * [backup-simplify]: Simplify re into re 5.606 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.606 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.606 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.606 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.607 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.607 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.607 * [taylor]: Taking taylor expansion of re in re 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.607 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.607 * [taylor]: Taking taylor expansion of im in re 5.607 * [backup-simplify]: Simplify im into im 5.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.607 * [taylor]: Taking taylor expansion of re in re 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.607 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.607 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.608 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.608 * [taylor]: Taking taylor expansion of re in re 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.608 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.608 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.608 * [taylor]: Taking taylor expansion of im in re 5.608 * [backup-simplify]: Simplify im into im 5.608 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.608 * [taylor]: Taking taylor expansion of re in re 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.608 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.608 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.609 * [backup-simplify]: Simplify (+ 0 0) into 0 5.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.609 * [backup-simplify]: Simplify (+ 0 im) into im 5.609 * [taylor]: Taking taylor expansion of im in im 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify (+ 1 0) into 1 5.609 * [taylor]: Taking taylor expansion of 1 in im 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.610 * [backup-simplify]: Simplify (* 1 1) into 1 5.610 * [backup-simplify]: Simplify (+ 0 1) into 1 5.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.611 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.611 * [taylor]: Taking taylor expansion of 1/2 in im 5.611 * [backup-simplify]: Simplify 1/2 into 1/2 5.611 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.611 * [taylor]: Taking taylor expansion of im in im 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.613 * [taylor]: Taking taylor expansion of 0 in im 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.615 * [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))))) 5.615 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.615 * [taylor]: Taking taylor expansion of re in im 5.615 * [backup-simplify]: Simplify re into re 5.615 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.615 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.615 * [taylor]: Taking taylor expansion of re in im 5.615 * [backup-simplify]: Simplify re into re 5.615 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.615 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.615 * [taylor]: Taking taylor expansion of im in im 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (* 1 1) into 1 5.616 * [backup-simplify]: Simplify (/ 1 1) into 1 5.616 * [backup-simplify]: Simplify (+ 0 1) into 1 5.616 * [backup-simplify]: Simplify (sqrt 1) into 1 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.618 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.618 * [taylor]: Taking taylor expansion of re in re 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.618 * [taylor]: Taking taylor expansion of re in re 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (* 1 1) into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.619 * [taylor]: Taking taylor expansion of im in re 5.619 * [backup-simplify]: Simplify im into im 5.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.619 * [backup-simplify]: Simplify (sqrt 1) into 1 5.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.621 * [taylor]: Taking taylor expansion of re in re 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (/ 1 1) into 1 5.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.621 * [taylor]: Taking taylor expansion of re in re 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (* 1 1) into 1 5.622 * [backup-simplify]: Simplify (/ 1 1) into 1 5.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.622 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.622 * [taylor]: Taking taylor expansion of im in re 5.622 * [backup-simplify]: Simplify im into im 5.622 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.622 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.622 * [backup-simplify]: Simplify (+ 1 0) into 1 5.622 * [backup-simplify]: Simplify (sqrt 1) into 1 5.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.624 * [backup-simplify]: Simplify (+ 1 1) into 2 5.624 * [taylor]: Taking taylor expansion of 2 in im 5.624 * [backup-simplify]: Simplify 2 into 2 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [taylor]: Taking taylor expansion of 0 in im 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 2 into 2 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.627 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.627 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.627 * [taylor]: Taking taylor expansion of 1/2 in im 5.627 * [backup-simplify]: Simplify 1/2 into 1/2 5.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.628 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.628 * [taylor]: Taking taylor expansion of im in im 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (* 1 1) into 1 5.628 * [backup-simplify]: Simplify (/ 1 1) into 1 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [taylor]: Taking taylor expansion of 0 in im 5.632 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.634 * [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)) 5.634 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.634 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.635 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.635 * [taylor]: Taking taylor expansion of re in im 5.635 * [backup-simplify]: Simplify re into re 5.635 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.635 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.635 * [taylor]: Taking taylor expansion of im in im 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (* 1 1) into 1 5.635 * [backup-simplify]: Simplify (/ 1 1) into 1 5.635 * [backup-simplify]: Simplify (+ 0 1) into 1 5.636 * [backup-simplify]: Simplify (sqrt 1) into 1 5.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.637 * [taylor]: Taking taylor expansion of re in im 5.637 * [backup-simplify]: Simplify re into re 5.637 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.637 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.637 * [taylor]: Taking taylor expansion of re in re 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (* 1 1) into 1 5.638 * [backup-simplify]: Simplify (/ 1 1) into 1 5.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.638 * [taylor]: Taking taylor expansion of im in re 5.638 * [backup-simplify]: Simplify im into im 5.638 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.638 * [backup-simplify]: Simplify (+ 1 0) into 1 5.639 * [backup-simplify]: Simplify (sqrt 1) into 1 5.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.640 * [taylor]: Taking taylor expansion of re in re 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.640 * [taylor]: Taking taylor expansion of re in re 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (* 1 1) into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.641 * [taylor]: Taking taylor expansion of im in re 5.641 * [backup-simplify]: Simplify im into im 5.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (sqrt 1) into 1 5.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.643 * [taylor]: Taking taylor expansion of re in re 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (/ 1 1) into 1 5.644 * [backup-simplify]: Simplify (- 1) into -1 5.644 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.644 * [taylor]: Taking taylor expansion of 0 in im 5.644 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.646 * [taylor]: Taking taylor expansion of 0 in im 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.649 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (- 0) into 0 5.650 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.650 * [taylor]: Taking taylor expansion of 1/2 in im 5.650 * [backup-simplify]: Simplify 1/2 into 1/2 5.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.651 * [taylor]: Taking taylor expansion of im in im 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (* 1 1) into 1 5.651 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify (- 0) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [taylor]: Taking taylor expansion of 0 in im 5.658 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 5.662 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 5.662 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.662 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.662 * [taylor]: Taking taylor expansion of im in im 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.662 * [taylor]: Taking taylor expansion of re in im 5.662 * [backup-simplify]: Simplify re into re 5.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.662 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.662 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.662 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.663 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.663 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.663 * [taylor]: Taking taylor expansion of im in re 5.663 * [backup-simplify]: Simplify im into im 5.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.663 * [taylor]: Taking taylor expansion of re in re 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.663 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.663 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.663 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.666 * [backup-simplify]: Simplify (+ 0 0) into 0 5.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.666 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.666 * [taylor]: Taking taylor expansion of im in re 5.666 * [backup-simplify]: Simplify im into im 5.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.666 * [taylor]: Taking taylor expansion of re in re 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.666 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.667 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.667 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.667 * [taylor]: Taking taylor expansion of im in im 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify 0 into 0 5.668 * [taylor]: Taking taylor expansion of 0 in im 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.668 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (+ 0 1) into 1 5.670 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.670 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.670 * [taylor]: Taking taylor expansion of 1/2 in im 5.670 * [backup-simplify]: Simplify 1/2 into 1/2 5.670 * [taylor]: Taking taylor expansion of im in im 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.674 * [taylor]: Taking taylor expansion of 0 in im 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.675 * [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)))) 5.675 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.675 * [taylor]: Taking taylor expansion of re in im 5.675 * [backup-simplify]: Simplify re into re 5.676 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.676 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.676 * [taylor]: Taking taylor expansion of im in im 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (* 1 1) into 1 5.677 * [backup-simplify]: Simplify (/ 1 1) into 1 5.677 * [backup-simplify]: Simplify (+ 0 1) into 1 5.677 * [backup-simplify]: Simplify (sqrt 1) into 1 5.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.680 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.680 * [taylor]: Taking taylor expansion of re in re 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (* 1 1) into 1 5.681 * [backup-simplify]: Simplify (/ 1 1) into 1 5.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.681 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.681 * [taylor]: Taking taylor expansion of im in re 5.681 * [backup-simplify]: Simplify im into im 5.681 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.681 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.681 * [backup-simplify]: Simplify (+ 1 0) into 1 5.682 * [backup-simplify]: Simplify (sqrt 1) into 1 5.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (+ 0 0) into 0 5.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.685 * [taylor]: Taking taylor expansion of re in re 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (* 1 1) into 1 5.685 * [backup-simplify]: Simplify (/ 1 1) into 1 5.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.686 * [taylor]: Taking taylor expansion of im in re 5.686 * [backup-simplify]: Simplify im into im 5.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.686 * [backup-simplify]: Simplify (+ 1 0) into 1 5.687 * [backup-simplify]: Simplify (sqrt 1) into 1 5.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.689 * [taylor]: Taking taylor expansion of 1 in im 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [taylor]: Taking taylor expansion of 0 in im 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.691 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.692 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.693 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.693 * [taylor]: Taking taylor expansion of 1/2 in im 5.693 * [backup-simplify]: Simplify 1/2 into 1/2 5.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.693 * [taylor]: Taking taylor expansion of im in im 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (* 1 1) into 1 5.693 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.699 * [taylor]: Taking taylor expansion of 0 in im 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.701 * [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)))) 5.701 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.702 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.702 * [taylor]: Taking taylor expansion of re in im 5.702 * [backup-simplify]: Simplify re into re 5.702 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.702 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.702 * [taylor]: Taking taylor expansion of im in im 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.702 * [backup-simplify]: Simplify (* 1 1) into 1 5.703 * [backup-simplify]: Simplify (/ 1 1) into 1 5.703 * [backup-simplify]: Simplify (+ 0 1) into 1 5.703 * [backup-simplify]: Simplify (sqrt 1) into 1 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.706 * [taylor]: Taking taylor expansion of re in re 5.706 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify 1 into 1 5.706 * [backup-simplify]: Simplify (* 1 1) into 1 5.707 * [backup-simplify]: Simplify (/ 1 1) into 1 5.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.707 * [taylor]: Taking taylor expansion of im in re 5.707 * [backup-simplify]: Simplify im into im 5.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.707 * [backup-simplify]: Simplify (+ 1 0) into 1 5.708 * [backup-simplify]: Simplify (sqrt 1) into 1 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.710 * [backup-simplify]: Simplify (+ 0 0) into 0 5.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.710 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.710 * [taylor]: Taking taylor expansion of re in re 5.710 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify 1 into 1 5.711 * [backup-simplify]: Simplify (* 1 1) into 1 5.711 * [backup-simplify]: Simplify (/ 1 1) into 1 5.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.711 * [taylor]: Taking taylor expansion of im in re 5.711 * [backup-simplify]: Simplify im into im 5.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.712 * [backup-simplify]: Simplify (+ 1 0) into 1 5.712 * [backup-simplify]: Simplify (sqrt 1) into 1 5.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.714 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.715 * [taylor]: Taking taylor expansion of 1 in im 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [taylor]: Taking taylor expansion of 0 in im 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.718 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.718 * [taylor]: Taking taylor expansion of 1/2 in im 5.718 * [backup-simplify]: Simplify 1/2 into 1/2 5.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.718 * [taylor]: Taking taylor expansion of im in im 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.724 * [taylor]: Taking taylor expansion of 0 in im 5.724 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.726 * * * [progress]: simplifying candidates 5.726 * * * * [progress]: [ 1 / 140 ] simplifiying candidate # 5.726 * * * * [progress]: [ 2 / 140 ] simplifiying candidate # 5.727 * * * * [progress]: [ 3 / 140 ] simplifiying candidate # 5.727 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))) 5.727 * * [simplify]: iters left: 6 (7 enodes) 5.730 * * [simplify]: iters left: 5 (22 enodes) 5.736 * * [simplify]: Extracting #0: cost 1 inf + 0 5.736 * * [simplify]: Extracting #1: cost 3 inf + 0 5.736 * * [simplify]: Extracting #2: cost 5 inf + 0 5.736 * * [simplify]: Extracting #3: cost 8 inf + 0 5.736 * * [simplify]: Extracting #4: cost 12 inf + 0 5.736 * * [simplify]: Extracting #5: cost 10 inf + 2 5.736 * * [simplify]: Extracting #6: cost 1 inf + 966 5.737 * * [simplify]: Extracting #7: cost 0 inf + 1198 5.737 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 5.737 * [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 (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 5.737 * * * * [progress]: [ 4 / 140 ] simplifiying candidate # 5.738 * [simplify]: Simplifying (exp (sqrt (+ (* re re) (* im im)))) 5.738 * * [simplify]: iters left: 6 (7 enodes) 5.741 * * [simplify]: iters left: 5 (22 enodes) 5.747 * * [simplify]: Extracting #0: cost 1 inf + 0 5.747 * * [simplify]: Extracting #1: cost 3 inf + 0 5.747 * * [simplify]: Extracting #2: cost 5 inf + 0 5.747 * * [simplify]: Extracting #3: cost 8 inf + 0 5.747 * * [simplify]: Extracting #4: cost 12 inf + 0 5.747 * * [simplify]: Extracting #5: cost 10 inf + 2 5.747 * * [simplify]: Extracting #6: cost 1 inf + 966 5.748 * * [simplify]: Extracting #7: cost 0 inf + 1198 5.748 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 5.748 * [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 (log (exp (sqrt (+ (* re re) (* im im))))))) re))))) 5.748 * * * * [progress]: [ 5 / 140 ] simplifiying candidate # 5.749 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 5.749 * * [simplify]: iters left: 6 (8 enodes) 5.752 * * [simplify]: iters left: 5 (25 enodes) 5.759 * * [simplify]: Extracting #0: cost 1 inf + 0 5.759 * * [simplify]: Extracting #1: cost 3 inf + 0 5.759 * * [simplify]: Extracting #2: cost 5 inf + 0 5.759 * * [simplify]: Extracting #3: cost 7 inf + 0 5.759 * * [simplify]: Extracting #4: cost 10 inf + 0 5.759 * * [simplify]: Extracting #5: cost 14 inf + 0 5.759 * * [simplify]: Extracting #6: cost 11 inf + 43 5.759 * * [simplify]: Extracting #7: cost 9 inf + 125 5.760 * * [simplify]: Extracting #8: cost 5 inf + 572 5.760 * * [simplify]: Extracting #9: cost 1 inf + 1500 5.761 * * [simplify]: Extracting #10: cost 0 inf + 1782 5.761 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 5.761 * [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 (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.762 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 5.762 * * [simplify]: iters left: 6 (7 enodes) 5.765 * * [simplify]: iters left: 5 (22 enodes) 5.771 * * [simplify]: Extracting #0: cost 1 inf + 0 5.771 * * [simplify]: Extracting #1: cost 3 inf + 0 5.771 * * [simplify]: Extracting #2: cost 5 inf + 0 5.771 * * [simplify]: Extracting #3: cost 8 inf + 0 5.771 * * [simplify]: Extracting #4: cost 12 inf + 0 5.771 * * [simplify]: Extracting #5: cost 10 inf + 2 5.772 * * [simplify]: Extracting #6: cost 1 inf + 976 5.772 * * [simplify]: Extracting #7: cost 0 inf + 1218 5.772 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 5.773 * [simplify]: Simplified (2 2 1 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))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.773 * * * * [progress]: [ 6 / 140 ] simplifiying candidate # 5.773 * [simplify]: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) 5.773 * * [simplify]: iters left: 6 (8 enodes) 5.777 * * [simplify]: iters left: 5 (24 enodes) 5.784 * * [simplify]: iters left: 4 (35 enodes) 5.796 * * [simplify]: iters left: 3 (58 enodes) 5.816 * * [simplify]: iters left: 2 (80 enodes) 5.839 * * [simplify]: iters left: 1 (106 enodes) 5.869 * * [simplify]: Extracting #0: cost 1 inf + 0 5.869 * * [simplify]: Extracting #1: cost 11 inf + 0 5.869 * * [simplify]: Extracting #2: cost 27 inf + 1 5.869 * * [simplify]: Extracting #3: cost 28 inf + 87 5.870 * * [simplify]: Extracting #4: cost 21 inf + 980 5.871 * * [simplify]: Extracting #5: cost 6 inf + 5217 5.873 * * [simplify]: Extracting #6: cost 0 inf + 7866 5.876 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 5.876 * [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 (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))))) re))))) 5.876 * * * * [progress]: [ 7 / 140 ] simplifiying candidate # 5.877 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 5.877 * * [simplify]: iters left: 6 (8 enodes) 5.881 * * [simplify]: iters left: 5 (26 enodes) 5.888 * * [simplify]: Extracting #0: cost 1 inf + 0 5.888 * * [simplify]: Extracting #1: cost 4 inf + 0 5.888 * * [simplify]: Extracting #2: cost 7 inf + 0 5.888 * * [simplify]: Extracting #3: cost 10 inf + 0 5.888 * * [simplify]: Extracting #4: cost 14 inf + 0 5.888 * * [simplify]: Extracting #5: cost 10 inf + 84 5.888 * * [simplify]: Extracting #6: cost 8 inf + 166 5.888 * * [simplify]: Extracting #7: cost 4 inf + 854 5.889 * * [simplify]: Extracting #8: cost 1 inf + 1540 5.889 * * [simplify]: Extracting #9: cost 0 inf + 1782 5.890 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 5.890 * [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))))) 5.891 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 5.891 * * [simplify]: iters left: 6 (7 enodes) 5.893 * * [simplify]: iters left: 5 (22 enodes) 5.896 * * [simplify]: Extracting #0: cost 1 inf + 0 5.896 * * [simplify]: Extracting #1: cost 3 inf + 0 5.896 * * [simplify]: Extracting #2: cost 5 inf + 0 5.896 * * [simplify]: Extracting #3: cost 8 inf + 0 5.896 * * [simplify]: Extracting #4: cost 12 inf + 0 5.896 * * [simplify]: Extracting #5: cost 10 inf + 2 5.896 * * [simplify]: Extracting #6: cost 1 inf + 1056 5.896 * * [simplify]: Extracting #7: cost 0 inf + 1298 5.896 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 5.896 * [simplify]: Simplified (2 2 1 2 1 2 1 2) 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))))) 5.897 * * * * [progress]: [ 8 / 140 ] simplifiying candidate # 5.897 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 5.897 * * [simplify]: iters left: 6 (7 enodes) 5.898 * * [simplify]: iters left: 5 (22 enodes) 5.901 * * [simplify]: Extracting #0: cost 1 inf + 0 5.901 * * [simplify]: Extracting #1: cost 3 inf + 0 5.901 * * [simplify]: Extracting #2: cost 5 inf + 0 5.901 * * [simplify]: Extracting #3: cost 8 inf + 0 5.901 * * [simplify]: Extracting #4: cost 12 inf + 0 5.902 * * [simplify]: Extracting #5: cost 10 inf + 2 5.902 * * [simplify]: Extracting #6: cost 1 inf + 936 5.902 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.902 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.902 * [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))))) 5.903 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 5.903 * * [simplify]: iters left: 6 (7 enodes) 5.904 * * [simplify]: iters left: 5 (22 enodes) 5.907 * * [simplify]: Extracting #0: cost 1 inf + 0 5.907 * * [simplify]: Extracting #1: cost 3 inf + 0 5.907 * * [simplify]: Extracting #2: cost 5 inf + 0 5.907 * * [simplify]: Extracting #3: cost 8 inf + 0 5.907 * * [simplify]: Extracting #4: cost 12 inf + 0 5.908 * * [simplify]: Extracting #5: cost 10 inf + 2 5.908 * * [simplify]: Extracting #6: cost 1 inf + 936 5.908 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.908 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.908 * [simplify]: Simplified (2 2 1 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 (+ (* re re) (* im im))))))) re))))) 5.908 * * * * [progress]: [ 9 / 140 ] simplifiying candidate # 5.909 * [simplify]: Simplifying (sqrt 1) 5.909 * * [simplify]: iters left: 1 (2 enodes) 5.911 * * [simplify]: Extracting #0: cost 1 inf + 0 5.911 * * [simplify]: Extracting #1: cost 0 inf + 1 5.911 * [simplify]: Simplified to 1 5.911 * [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))))) 5.911 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.911 * * [simplify]: iters left: 5 (6 enodes) 5.912 * * [simplify]: iters left: 4 (19 enodes) 5.915 * * [simplify]: Extracting #0: cost 1 inf + 0 5.915 * * [simplify]: Extracting #1: cost 3 inf + 0 5.915 * * [simplify]: Extracting #2: cost 6 inf + 0 5.915 * * [simplify]: Extracting #3: cost 10 inf + 0 5.915 * * [simplify]: Extracting #4: cost 6 inf + 84 5.915 * * [simplify]: Extracting #5: cost 0 inf + 734 5.915 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.915 * [simplify]: Simplified (2 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 5.916 * * * * [progress]: [ 10 / 140 ] simplifiying candidate # 5.916 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 5.916 * * [simplify]: iters left: 6 (9 enodes) 5.919 * * [simplify]: iters left: 5 (45 enodes) 5.939 * * [simplify]: iters left: 4 (100 enodes) 5.983 * * [simplify]: iters left: 3 (201 enodes) 6.041 * * [simplify]: iters left: 2 (406 enodes) 6.210 * * [simplify]: Extracting #0: cost 1 inf + 0 6.211 * * [simplify]: Extracting #1: cost 3 inf + 0 6.211 * * [simplify]: Extracting #2: cost 6 inf + 0 6.211 * * [simplify]: Extracting #3: cost 80 inf + 0 6.211 * * [simplify]: Extracting #4: cost 189 inf + 460 6.212 * * [simplify]: Extracting #5: cost 168 inf + 4664 6.215 * * [simplify]: Extracting #6: cost 84 inf + 34209 6.222 * * [simplify]: Extracting #7: cost 2 inf + 72608 6.231 * * [simplify]: Extracting #8: cost 0 inf + 73363 6.237 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 6.237 * [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))))) 6.237 * [simplify]: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 6.238 * * [simplify]: iters left: 6 (10 enodes) 6.240 * * [simplify]: iters left: 5 (52 enodes) 6.254 * * [simplify]: iters left: 4 (119 enodes) 6.291 * * [simplify]: iters left: 3 (234 enodes) 6.347 * * [simplify]: iters left: 2 (366 enodes) 6.483 * * [simplify]: Extracting #0: cost 1 inf + 0 6.483 * * [simplify]: Extracting #1: cost 3 inf + 0 6.483 * * [simplify]: Extracting #2: cost 22 inf + 0 6.484 * * [simplify]: Extracting #3: cost 148 inf + 0 6.486 * * [simplify]: Extracting #4: cost 202 inf + 2230 6.493 * * [simplify]: Extracting #5: cost 83 inf + 22274 6.507 * * [simplify]: Extracting #6: cost 1 inf + 35108 6.522 * * [simplify]: Extracting #7: cost 0 inf + 35040 6.529 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 6.529 * [simplify]: Simplified (2 2 1 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) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))))) re))))) 6.530 * * * * [progress]: [ 11 / 140 ] simplifiying candidate # 6.530 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.530 * * [simplify]: iters left: 6 (8 enodes) 6.532 * * [simplify]: iters left: 5 (37 enodes) 6.539 * * [simplify]: iters left: 4 (67 enodes) 6.554 * * [simplify]: iters left: 3 (123 enodes) 6.580 * * [simplify]: iters left: 2 (278 enodes) 6.711 * * [simplify]: Extracting #0: cost 1 inf + 0 6.711 * * [simplify]: Extracting #1: cost 3 inf + 0 6.711 * * [simplify]: Extracting #2: cost 50 inf + 0 6.712 * * [simplify]: Extracting #3: cost 150 inf + 0 6.714 * * [simplify]: Extracting #4: cost 194 inf + 1180 6.719 * * [simplify]: Extracting #5: cost 123 inf + 12421 6.731 * * [simplify]: Extracting #6: cost 12 inf + 33804 6.746 * * [simplify]: Extracting #7: cost 0 inf + 36129 6.762 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.762 * [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))))) 6.762 * [simplify]: Simplifying (sqrt (- (* re re) (* im im))) 6.762 * * [simplify]: iters left: 5 (6 enodes) 6.765 * * [simplify]: iters left: 4 (23 enodes) 6.772 * * [simplify]: iters left: 3 (36 enodes) 6.783 * * [simplify]: iters left: 2 (53 enodes) 6.799 * * [simplify]: iters left: 1 (94 enodes) 6.837 * * [simplify]: Extracting #0: cost 1 inf + 0 6.837 * * [simplify]: Extracting #1: cost 3 inf + 0 6.837 * * [simplify]: Extracting #2: cost 32 inf + 0 6.838 * * [simplify]: Extracting #3: cost 48 inf + 0 6.838 * * [simplify]: Extracting #4: cost 42 inf + 247 6.838 * * [simplify]: Extracting #5: cost 18 inf + 3412 6.840 * * [simplify]: Extracting #6: cost 0 inf + 5728 6.841 * * [simplify]: Extracting #7: cost 0 inf + 5448 6.842 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 6.842 * [simplify]: Simplified (2 2 1 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 (- (* re re) (* im im)))))) re))))) 6.842 * * * * [progress]: [ 12 / 140 ] simplifiying candidate # 6.843 * [simplify]: Simplifying (/ 1 2) 6.843 * * [simplify]: iters left: 2 (3 enodes) 6.845 * * [simplify]: iters left: 1 (12 enodes) 6.847 * * [simplify]: Extracting #0: cost 1 inf + 0 6.847 * * [simplify]: Extracting #1: cost 0 inf + 1 6.847 * [simplify]: Simplified to 1/2 6.847 * [simplify]: Simplified (2 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) 1/2))) re))))) 6.847 * * * * [progress]: [ 13 / 140 ] simplifiying candidate # 6.847 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.847 * * [simplify]: iters left: 6 (7 enodes) 6.849 * * [simplify]: iters left: 5 (22 enodes) 6.852 * * [simplify]: Extracting #0: cost 1 inf + 0 6.852 * * [simplify]: Extracting #1: cost 3 inf + 0 6.852 * * [simplify]: Extracting #2: cost 5 inf + 0 6.852 * * [simplify]: Extracting #3: cost 8 inf + 0 6.852 * * [simplify]: Extracting #4: cost 12 inf + 0 6.852 * * [simplify]: Extracting #5: cost 10 inf + 2 6.852 * * [simplify]: Extracting #6: cost 1 inf + 936 6.853 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.853 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.853 * [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))))) 6.853 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.853 * * [simplify]: iters left: 6 (7 enodes) 6.855 * * [simplify]: iters left: 5 (22 enodes) 6.858 * * [simplify]: Extracting #0: cost 1 inf + 0 6.858 * * [simplify]: Extracting #1: cost 3 inf + 0 6.858 * * [simplify]: Extracting #2: cost 5 inf + 0 6.858 * * [simplify]: Extracting #3: cost 8 inf + 0 6.858 * * [simplify]: Extracting #4: cost 12 inf + 0 6.858 * * [simplify]: Extracting #5: cost 10 inf + 2 6.858 * * [simplify]: Extracting #6: cost 1 inf + 936 6.858 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.858 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.858 * [simplify]: Simplified (2 2 1 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 (+ (* re re) (* im im))))))) re))))) 6.858 * * * * [progress]: [ 14 / 140 ] simplifiying candidate # 6.859 * * * * [progress]: [ 15 / 140 ] simplifiying candidate # 6.859 * * * * [progress]: [ 16 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 6.859 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* re re) (* im im)))) 6.859 * * [simplify]: iters left: 6 (7 enodes) 6.860 * * [simplify]: iters left: 5 (19 enodes) 6.863 * * [simplify]: Extracting #0: cost 1 inf + 0 6.863 * * [simplify]: Extracting #1: cost 2 inf + 0 6.863 * * [simplify]: Extracting #2: cost 3 inf + 0 6.863 * * [simplify]: Extracting #3: cost 6 inf + 0 6.863 * * [simplify]: Extracting #4: cost 10 inf + 0 6.863 * * [simplify]: Extracting #5: cost 6 inf + 84 6.863 * * [simplify]: Extracting #6: cost 0 inf + 734 6.863 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 6.863 * [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 (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re))))) 6.863 * * * * [progress]: [ 17 / 140 ] simplifiying candidate # 6.864 * * * * [progress]: [ 18 / 140 ] simplifiying candidate # 6.864 * * * * [progress]: [ 19 / 140 ] simplifiying candidate # 6.864 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))) 6.864 * * [simplify]: iters left: 6 (7 enodes) 6.867 * * [simplify]: iters left: 5 (22 enodes) 6.873 * * [simplify]: Extracting #0: cost 1 inf + 0 6.873 * * [simplify]: Extracting #1: cost 3 inf + 0 6.873 * * [simplify]: Extracting #2: cost 5 inf + 0 6.873 * * [simplify]: Extracting #3: cost 8 inf + 0 6.873 * * [simplify]: Extracting #4: cost 12 inf + 0 6.873 * * [simplify]: Extracting #5: cost 10 inf + 2 6.873 * * [simplify]: Extracting #6: cost 1 inf + 966 6.874 * * [simplify]: Extracting #7: cost 0 inf + 1198 6.874 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 6.874 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.874 * * * * [progress]: [ 20 / 140 ] simplifiying candidate # 6.875 * [simplify]: Simplifying (exp (sqrt (+ (* re re) (* im im)))) 6.875 * * [simplify]: iters left: 6 (7 enodes) 6.878 * * [simplify]: iters left: 5 (22 enodes) 6.884 * * [simplify]: Extracting #0: cost 1 inf + 0 6.884 * * [simplify]: Extracting #1: cost 3 inf + 0 6.884 * * [simplify]: Extracting #2: cost 5 inf + 0 6.884 * * [simplify]: Extracting #3: cost 8 inf + 0 6.884 * * [simplify]: Extracting #4: cost 12 inf + 0 6.884 * * [simplify]: Extracting #5: cost 10 inf + 2 6.884 * * [simplify]: Extracting #6: cost 1 inf + 966 6.885 * * [simplify]: Extracting #7: cost 0 inf + 1198 6.885 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 6.885 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.886 * * * * [progress]: [ 21 / 140 ] simplifiying candidate # 6.886 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 6.886 * * [simplify]: iters left: 6 (8 enodes) 6.889 * * [simplify]: iters left: 5 (25 enodes) 6.897 * * [simplify]: Extracting #0: cost 1 inf + 0 6.897 * * [simplify]: Extracting #1: cost 3 inf + 0 6.897 * * [simplify]: Extracting #2: cost 5 inf + 0 6.897 * * [simplify]: Extracting #3: cost 7 inf + 0 6.897 * * [simplify]: Extracting #4: cost 10 inf + 0 6.897 * * [simplify]: Extracting #5: cost 14 inf + 0 6.897 * * [simplify]: Extracting #6: cost 11 inf + 43 6.897 * * [simplify]: Extracting #7: cost 9 inf + 125 6.897 * * [simplify]: Extracting #8: cost 5 inf + 572 6.898 * * [simplify]: Extracting #9: cost 1 inf + 1500 6.899 * * [simplify]: Extracting #10: cost 0 inf + 1782 6.899 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 6.899 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.900 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 6.900 * * [simplify]: iters left: 6 (7 enodes) 6.903 * * [simplify]: iters left: 5 (22 enodes) 6.909 * * [simplify]: Extracting #0: cost 1 inf + 0 6.909 * * [simplify]: Extracting #1: cost 3 inf + 0 6.909 * * [simplify]: Extracting #2: cost 5 inf + 0 6.909 * * [simplify]: Extracting #3: cost 8 inf + 0 6.909 * * [simplify]: Extracting #4: cost 12 inf + 0 6.909 * * [simplify]: Extracting #5: cost 10 inf + 2 6.909 * * [simplify]: Extracting #6: cost 1 inf + 976 6.910 * * [simplify]: Extracting #7: cost 0 inf + 1218 6.910 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 6.910 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.911 * * * * [progress]: [ 22 / 140 ] simplifiying candidate # 6.911 * [simplify]: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) 6.911 * * [simplify]: iters left: 6 (8 enodes) 6.915 * * [simplify]: iters left: 5 (24 enodes) 6.922 * * [simplify]: iters left: 4 (35 enodes) 6.933 * * [simplify]: iters left: 3 (58 enodes) 6.943 * * [simplify]: iters left: 2 (80 enodes) 6.957 * * [simplify]: iters left: 1 (106 enodes) 6.977 * * [simplify]: Extracting #0: cost 1 inf + 0 6.977 * * [simplify]: Extracting #1: cost 11 inf + 0 6.977 * * [simplify]: Extracting #2: cost 27 inf + 1 6.977 * * [simplify]: Extracting #3: cost 28 inf + 87 6.977 * * [simplify]: Extracting #4: cost 21 inf + 980 6.978 * * [simplify]: Extracting #5: cost 6 inf + 5217 6.979 * * [simplify]: Extracting #6: cost 0 inf + 7866 6.981 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 6.981 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.981 * * * * [progress]: [ 23 / 140 ] simplifiying candidate # 6.981 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 6.981 * * [simplify]: iters left: 6 (8 enodes) 6.983 * * [simplify]: iters left: 5 (26 enodes) 6.986 * * [simplify]: Extracting #0: cost 1 inf + 0 6.986 * * [simplify]: Extracting #1: cost 4 inf + 0 6.986 * * [simplify]: Extracting #2: cost 7 inf + 0 6.986 * * [simplify]: Extracting #3: cost 10 inf + 0 6.986 * * [simplify]: Extracting #4: cost 14 inf + 0 6.986 * * [simplify]: Extracting #5: cost 10 inf + 84 6.987 * * [simplify]: Extracting #6: cost 8 inf + 166 6.987 * * [simplify]: Extracting #7: cost 4 inf + 854 6.987 * * [simplify]: Extracting #8: cost 1 inf + 1540 6.987 * * [simplify]: Extracting #9: cost 0 inf + 1782 6.988 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 6.988 * [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))))) 6.988 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 6.988 * * [simplify]: iters left: 6 (7 enodes) 6.989 * * [simplify]: iters left: 5 (22 enodes) 6.993 * * [simplify]: Extracting #0: cost 1 inf + 0 6.993 * * [simplify]: Extracting #1: cost 3 inf + 0 6.993 * * [simplify]: Extracting #2: cost 5 inf + 0 6.994 * * [simplify]: Extracting #3: cost 8 inf + 0 6.994 * * [simplify]: Extracting #4: cost 12 inf + 0 6.994 * * [simplify]: Extracting #5: cost 10 inf + 2 6.994 * * [simplify]: Extracting #6: cost 1 inf + 1056 6.994 * * [simplify]: Extracting #7: cost 0 inf + 1298 6.995 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 6.995 * [simplify]: Simplified (2 2 1 2 1 1 1 2) 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))))) 6.995 * * * * [progress]: [ 24 / 140 ] simplifiying candidate # 6.996 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.996 * * [simplify]: iters left: 6 (7 enodes) 6.999 * * [simplify]: iters left: 5 (22 enodes) 7.005 * * [simplify]: Extracting #0: cost 1 inf + 0 7.005 * * [simplify]: Extracting #1: cost 3 inf + 0 7.005 * * [simplify]: Extracting #2: cost 5 inf + 0 7.005 * * [simplify]: Extracting #3: cost 8 inf + 0 7.005 * * [simplify]: Extracting #4: cost 12 inf + 0 7.005 * * [simplify]: Extracting #5: cost 10 inf + 2 7.005 * * [simplify]: Extracting #6: cost 1 inf + 936 7.006 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.006 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.006 * [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))))) 7.007 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.007 * * [simplify]: iters left: 6 (7 enodes) 7.010 * * [simplify]: iters left: 5 (22 enodes) 7.016 * * [simplify]: Extracting #0: cost 1 inf + 0 7.016 * * [simplify]: Extracting #1: cost 3 inf + 0 7.016 * * [simplify]: Extracting #2: cost 5 inf + 0 7.016 * * [simplify]: Extracting #3: cost 8 inf + 0 7.016 * * [simplify]: Extracting #4: cost 12 inf + 0 7.016 * * [simplify]: Extracting #5: cost 10 inf + 2 7.016 * * [simplify]: Extracting #6: cost 1 inf + 936 7.017 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.017 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.017 * [simplify]: Simplified (2 2 1 2 1 1 1 2) 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))))) 7.018 * * * * [progress]: [ 25 / 140 ] simplifiying candidate # 7.018 * [simplify]: Simplifying (sqrt 1) 7.018 * * [simplify]: iters left: 1 (2 enodes) 7.021 * * [simplify]: Extracting #0: cost 1 inf + 0 7.021 * * [simplify]: Extracting #1: cost 0 inf + 1 7.021 * [simplify]: Simplified to 1 7.021 * [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))))) 7.022 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.022 * * [simplify]: iters left: 5 (6 enodes) 7.025 * * [simplify]: iters left: 4 (19 enodes) 7.030 * * [simplify]: Extracting #0: cost 1 inf + 0 7.030 * * [simplify]: Extracting #1: cost 3 inf + 0 7.030 * * [simplify]: Extracting #2: cost 6 inf + 0 7.030 * * [simplify]: Extracting #3: cost 10 inf + 0 7.030 * * [simplify]: Extracting #4: cost 6 inf + 84 7.030 * * [simplify]: Extracting #5: cost 0 inf + 734 7.031 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.031 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.031 * * * * [progress]: [ 26 / 140 ] simplifiying candidate # 7.031 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 7.031 * * [simplify]: iters left: 6 (9 enodes) 7.037 * * [simplify]: iters left: 5 (45 enodes) 7.061 * * [simplify]: iters left: 4 (100 enodes) 7.098 * * [simplify]: iters left: 3 (201 enodes) 7.155 * * [simplify]: iters left: 2 (406 enodes) 7.344 * * [simplify]: Extracting #0: cost 1 inf + 0 7.344 * * [simplify]: Extracting #1: cost 3 inf + 0 7.344 * * [simplify]: Extracting #2: cost 6 inf + 0 7.344 * * [simplify]: Extracting #3: cost 80 inf + 0 7.345 * * [simplify]: Extracting #4: cost 189 inf + 460 7.347 * * [simplify]: Extracting #5: cost 168 inf + 4664 7.353 * * [simplify]: Extracting #6: cost 84 inf + 34209 7.364 * * [simplify]: Extracting #7: cost 2 inf + 72608 7.376 * * [simplify]: Extracting #8: cost 0 inf + 73363 7.393 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 7.393 * [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))))) 7.393 * [simplify]: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 7.394 * * [simplify]: iters left: 6 (10 enodes) 7.399 * * [simplify]: iters left: 5 (52 enodes) 7.419 * * [simplify]: iters left: 4 (119 enodes) 7.467 * * [simplify]: iters left: 3 (234 enodes) 7.564 * * [simplify]: iters left: 2 (366 enodes) 7.707 * * [simplify]: Extracting #0: cost 1 inf + 0 7.707 * * [simplify]: Extracting #1: cost 3 inf + 0 7.707 * * [simplify]: Extracting #2: cost 22 inf + 0 7.707 * * [simplify]: Extracting #3: cost 148 inf + 0 7.708 * * [simplify]: Extracting #4: cost 202 inf + 2230 7.712 * * [simplify]: Extracting #5: cost 83 inf + 22274 7.724 * * [simplify]: Extracting #6: cost 1 inf + 35108 7.733 * * [simplify]: Extracting #7: cost 0 inf + 35040 7.746 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 7.746 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.746 * * * * [progress]: [ 27 / 140 ] simplifiying candidate # 7.747 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.747 * * [simplify]: iters left: 6 (8 enodes) 7.750 * * [simplify]: iters left: 5 (37 enodes) 7.759 * * [simplify]: iters left: 4 (67 enodes) 7.770 * * [simplify]: iters left: 3 (123 enodes) 7.803 * * [simplify]: iters left: 2 (278 enodes) 7.912 * * [simplify]: Extracting #0: cost 1 inf + 0 7.913 * * [simplify]: Extracting #1: cost 3 inf + 0 7.913 * * [simplify]: Extracting #2: cost 50 inf + 0 7.913 * * [simplify]: Extracting #3: cost 150 inf + 0 7.915 * * [simplify]: Extracting #4: cost 194 inf + 1180 7.919 * * [simplify]: Extracting #5: cost 123 inf + 12421 7.930 * * [simplify]: Extracting #6: cost 12 inf + 33804 7.943 * * [simplify]: Extracting #7: cost 0 inf + 36129 7.956 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.956 * [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))))) 7.957 * [simplify]: Simplifying (sqrt (- (* re re) (* im im))) 7.957 * * [simplify]: iters left: 5 (6 enodes) 7.959 * * [simplify]: iters left: 4 (23 enodes) 7.965 * * [simplify]: iters left: 3 (36 enodes) 7.973 * * [simplify]: iters left: 2 (53 enodes) 7.992 * * [simplify]: iters left: 1 (94 enodes) 8.025 * * [simplify]: Extracting #0: cost 1 inf + 0 8.025 * * [simplify]: Extracting #1: cost 3 inf + 0 8.025 * * [simplify]: Extracting #2: cost 32 inf + 0 8.025 * * [simplify]: Extracting #3: cost 48 inf + 0 8.026 * * [simplify]: Extracting #4: cost 42 inf + 247 8.027 * * [simplify]: Extracting #5: cost 18 inf + 3412 8.029 * * [simplify]: Extracting #6: cost 0 inf + 5728 8.032 * * [simplify]: Extracting #7: cost 0 inf + 5448 8.034 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 8.034 * [simplify]: Simplified (2 2 1 2 1 1 1 2) 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))))) 8.035 * * * * [progress]: [ 28 / 140 ] simplifiying candidate # 8.035 * [simplify]: Simplifying (/ 1 2) 8.035 * * [simplify]: iters left: 2 (3 enodes) 8.038 * * [simplify]: iters left: 1 (12 enodes) 8.042 * * [simplify]: Extracting #0: cost 1 inf + 0 8.043 * * [simplify]: Extracting #1: cost 0 inf + 1 8.043 * [simplify]: Simplified to 1/2 8.043 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.043 * * * * [progress]: [ 29 / 140 ] simplifiying candidate # 8.043 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.043 * * [simplify]: iters left: 6 (7 enodes) 8.046 * * [simplify]: iters left: 5 (22 enodes) 8.052 * * [simplify]: Extracting #0: cost 1 inf + 0 8.052 * * [simplify]: Extracting #1: cost 3 inf + 0 8.052 * * [simplify]: Extracting #2: cost 5 inf + 0 8.052 * * [simplify]: Extracting #3: cost 8 inf + 0 8.052 * * [simplify]: Extracting #4: cost 12 inf + 0 8.053 * * [simplify]: Extracting #5: cost 10 inf + 2 8.053 * * [simplify]: Extracting #6: cost 1 inf + 936 8.053 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.054 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.054 * [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))))) 8.054 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.054 * * [simplify]: iters left: 6 (7 enodes) 8.057 * * [simplify]: iters left: 5 (22 enodes) 8.063 * * [simplify]: Extracting #0: cost 1 inf + 0 8.063 * * [simplify]: Extracting #1: cost 3 inf + 0 8.063 * * [simplify]: Extracting #2: cost 5 inf + 0 8.063 * * [simplify]: Extracting #3: cost 8 inf + 0 8.063 * * [simplify]: Extracting #4: cost 12 inf + 0 8.063 * * [simplify]: Extracting #5: cost 10 inf + 2 8.063 * * [simplify]: Extracting #6: cost 1 inf + 936 8.064 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.064 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.064 * [simplify]: Simplified (2 2 1 2 1 1 1 2) 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))))) 8.064 * * * * [progress]: [ 30 / 140 ] simplifiying candidate # 8.064 * * * * [progress]: [ 31 / 140 ] simplifiying candidate # 8.064 * * * * [progress]: [ 32 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 8.065 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* re re) (* im im)))) 8.065 * * [simplify]: iters left: 6 (7 enodes) 8.068 * * [simplify]: iters left: 5 (19 enodes) 8.073 * * [simplify]: Extracting #0: cost 1 inf + 0 8.073 * * [simplify]: Extracting #1: cost 2 inf + 0 8.073 * * [simplify]: Extracting #2: cost 3 inf + 0 8.073 * * [simplify]: Extracting #3: cost 6 inf + 0 8.073 * * [simplify]: Extracting #4: cost 10 inf + 0 8.073 * * [simplify]: Extracting #5: cost 6 inf + 84 8.073 * * [simplify]: Extracting #6: cost 0 inf + 734 8.073 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 8.074 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.074 * * * * [progress]: [ 33 / 140 ] simplifiying candidate # 8.074 * [simplify]: Simplifying (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 8.074 * * [simplify]: iters left: 6 (11 enodes) 8.079 * * [simplify]: iters left: 5 (37 enodes) 8.089 * * [simplify]: iters left: 4 (48 enodes) 8.100 * * [simplify]: iters left: 3 (63 enodes) 8.112 * * [simplify]: iters left: 2 (97 enodes) 8.144 * * [simplify]: iters left: 1 (183 enodes) 8.200 * * [simplify]: Extracting #0: cost 1 inf + 0 8.200 * * [simplify]: Extracting #1: cost 37 inf + 0 8.201 * * [simplify]: Extracting #2: cost 113 inf + 0 8.201 * * [simplify]: Extracting #3: cost 137 inf + 74 8.201 * * [simplify]: Extracting #4: cost 141 inf + 148 8.202 * * [simplify]: Extracting #5: cost 143 inf + 189 8.202 * * [simplify]: Extracting #6: cost 135 inf + 951 8.203 * * [simplify]: Extracting #7: cost 128 inf + 2635 8.208 * * [simplify]: Extracting #8: cost 102 inf + 10073 8.220 * * [simplify]: Extracting #9: cost 28 inf + 63273 8.234 * * [simplify]: Extracting #10: cost 0 inf + 89804 8.249 * * [simplify]: Extracting #11: cost 0 inf + 89542 8.264 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 8.264 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.265 * * * * [progress]: [ 34 / 140 ] simplifiying candidate # 8.265 * * * * [progress]: [ 35 / 140 ] simplifiying candidate # 8.265 * [simplify]: Simplifying (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.265 * * [simplify]: iters left: 6 (10 enodes) 8.267 * * [simplify]: iters left: 5 (30 enodes) 8.271 * * [simplify]: iters left: 4 (31 enodes) 8.275 * * [simplify]: Extracting #0: cost 1 inf + 0 8.275 * * [simplify]: Extracting #1: cost 3 inf + 0 8.275 * * [simplify]: Extracting #2: cost 6 inf + 0 8.275 * * [simplify]: Extracting #3: cost 8 inf + 1 8.275 * * [simplify]: Extracting #4: cost 12 inf + 1 8.275 * * [simplify]: Extracting #5: cost 14 inf + 42 8.275 * * [simplify]: Extracting #6: cost 11 inf + 125 8.275 * * [simplify]: Extracting #7: cost 7 inf + 572 8.275 * * [simplify]: Extracting #8: cost 1 inf + 1814 8.276 * * [simplify]: Extracting #9: cost 0 inf + 2086 8.276 * [simplify]: Simplified to (log (+ re (sqrt (+ (* re re) (* im im))))) 8.276 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.276 * * * * [progress]: [ 36 / 140 ] simplifiying candidate # 8.277 * [simplify]: Simplifying (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.277 * * [simplify]: iters left: 6 (10 enodes) 8.279 * * [simplify]: iters left: 5 (33 enodes) 8.283 * * [simplify]: iters left: 4 (41 enodes) 8.293 * * [simplify]: iters left: 3 (47 enodes) 8.306 * * [simplify]: iters left: 2 (62 enodes) 8.326 * * [simplify]: iters left: 1 (97 enodes) 8.360 * * [simplify]: Extracting #0: cost 1 inf + 0 8.361 * * [simplify]: Extracting #1: cost 14 inf + 0 8.361 * * [simplify]: Extracting #2: cost 48 inf + 0 8.361 * * [simplify]: Extracting #3: cost 64 inf + 2 8.361 * * [simplify]: Extracting #4: cost 62 inf + 148 8.362 * * [simplify]: Extracting #5: cost 64 inf + 189 8.363 * * [simplify]: Extracting #6: cost 56 inf + 961 8.364 * * [simplify]: Extracting #7: cost 41 inf + 4787 8.368 * * [simplify]: Extracting #8: cost 22 inf + 13728 8.377 * * [simplify]: Extracting #9: cost 0 inf + 28513 8.383 * * [simplify]: Extracting #10: cost 0 inf + 28353 8.388 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 8.388 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.388 * * * * [progress]: [ 37 / 140 ] simplifiying candidate # 8.388 * [simplify]: Simplifying (* (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))) 8.388 * * [simplify]: iters left: 6 (11 enodes) 8.391 * * [simplify]: iters left: 5 (33 enodes) 8.395 * * [simplify]: iters left: 4 (34 enodes) 8.399 * * [simplify]: Extracting #0: cost 1 inf + 0 8.399 * * [simplify]: Extracting #1: cost 3 inf + 0 8.399 * * [simplify]: Extracting #2: cost 5 inf + 0 8.400 * * [simplify]: Extracting #3: cost 8 inf + 0 8.400 * * [simplify]: Extracting #4: cost 10 inf + 1 8.400 * * [simplify]: Extracting #5: cost 14 inf + 1 8.400 * * [simplify]: Extracting #6: cost 16 inf + 42 8.400 * * [simplify]: Extracting #7: cost 12 inf + 166 8.400 * * [simplify]: Extracting #8: cost 10 inf + 450 8.400 * * [simplify]: Extracting #9: cost 5 inf + 1420 8.401 * * [simplify]: Extracting #10: cost 0 inf + 2750 8.401 * [simplify]: Simplified to (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) 8.401 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 8.401 * [simplify]: Simplifying (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.401 * * [simplify]: iters left: 6 (10 enodes) 8.404 * * [simplify]: iters left: 5 (30 enodes) 8.408 * * [simplify]: iters left: 4 (31 enodes) 8.412 * * [simplify]: Extracting #0: cost 1 inf + 0 8.412 * * [simplify]: Extracting #1: cost 3 inf + 0 8.412 * * [simplify]: Extracting #2: cost 6 inf + 0 8.412 * * [simplify]: Extracting #3: cost 8 inf + 1 8.412 * * [simplify]: Extracting #4: cost 12 inf + 1 8.412 * * [simplify]: Extracting #5: cost 14 inf + 42 8.412 * * [simplify]: Extracting #6: cost 11 inf + 125 8.412 * * [simplify]: Extracting #7: cost 7 inf + 572 8.413 * * [simplify]: Extracting #8: cost 1 inf + 1824 8.413 * * [simplify]: Extracting #9: cost 0 inf + 2106 8.413 * [simplify]: Simplified to (cbrt (+ re (sqrt (+ (* re re) (* im im))))) 8.413 * [simplify]: Simplified (2 2 1 2 2) 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 (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.414 * * * * [progress]: [ 38 / 140 ] simplifiying candidate # 8.414 * [simplify]: Simplifying (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.414 * * [simplify]: iters left: 6 (11 enodes) 8.417 * * [simplify]: iters left: 5 (46 enodes) 8.427 * * [simplify]: iters left: 4 (126 enodes) 8.456 * * [simplify]: iters left: 3 (315 enodes) 8.656 * * [simplify]: Extracting #0: cost 1 inf + 0 8.656 * * [simplify]: Extracting #1: cost 23 inf + 0 8.657 * * [simplify]: Extracting #2: cost 116 inf + 1 8.658 * * [simplify]: Extracting #3: cost 149 inf + 256 8.659 * * [simplify]: Extracting #4: cost 148 inf + 379 8.661 * * [simplify]: Extracting #5: cost 141 inf + 1220 8.668 * * [simplify]: Extracting #6: cost 77 inf + 18780 8.687 * * [simplify]: Extracting #7: cost 3 inf + 41179 8.704 * * [simplify]: Extracting #8: cost 0 inf + 41854 8.716 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) 8.716 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.716 * * * * [progress]: [ 39 / 140 ] simplifiying candidate # 8.717 * [simplify]: Simplifying (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.717 * * [simplify]: iters left: 6 (10 enodes) 8.721 * * [simplify]: iters left: 5 (30 enodes) 8.725 * * [simplify]: iters left: 4 (31 enodes) 8.729 * * [simplify]: Extracting #0: cost 1 inf + 0 8.729 * * [simplify]: Extracting #1: cost 3 inf + 0 8.729 * * [simplify]: Extracting #2: cost 6 inf + 0 8.729 * * [simplify]: Extracting #3: cost 8 inf + 1 8.729 * * [simplify]: Extracting #4: cost 12 inf + 1 8.729 * * [simplify]: Extracting #5: cost 14 inf + 42 8.729 * * [simplify]: Extracting #6: cost 11 inf + 125 8.729 * * [simplify]: Extracting #7: cost 7 inf + 572 8.729 * * [simplify]: Extracting #8: cost 1 inf + 1784 8.730 * * [simplify]: Extracting #9: cost 0 inf + 2026 8.730 * [simplify]: Simplified to (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 8.730 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 8.730 * [simplify]: Simplifying (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 8.731 * * [simplify]: iters left: 6 (10 enodes) 8.733 * * [simplify]: iters left: 5 (30 enodes) 8.737 * * [simplify]: iters left: 4 (31 enodes) 8.745 * * [simplify]: Extracting #0: cost 1 inf + 0 8.745 * * [simplify]: Extracting #1: cost 3 inf + 0 8.745 * * [simplify]: Extracting #2: cost 6 inf + 0 8.745 * * [simplify]: Extracting #3: cost 8 inf + 1 8.745 * * [simplify]: Extracting #4: cost 12 inf + 1 8.745 * * [simplify]: Extracting #5: cost 14 inf + 42 8.745 * * [simplify]: Extracting #6: cost 11 inf + 125 8.745 * * [simplify]: Extracting #7: cost 7 inf + 572 8.746 * * [simplify]: Extracting #8: cost 1 inf + 1784 8.747 * * [simplify]: Extracting #9: cost 0 inf + 2026 8.747 * [simplify]: Simplified to (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 8.747 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.748 * * * * [progress]: [ 40 / 140 ] simplifiying candidate # 8.748 * [simplify]: Simplifying (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) 8.748 * * [simplify]: iters left: 6 (12 enodes) 8.755 * * [simplify]: iters left: 5 (50 enodes) 8.776 * * [simplify]: iters left: 4 (85 enodes) 8.808 * * [simplify]: iters left: 3 (173 enodes) 8.869 * * [simplify]: iters left: 2 (383 enodes) 9.025 * * [simplify]: Extracting #0: cost 1 inf + 0 9.025 * * [simplify]: Extracting #1: cost 9 inf + 0 9.025 * * [simplify]: Extracting #2: cost 69 inf + 0 9.026 * * [simplify]: Extracting #3: cost 143 inf + 87 9.026 * * [simplify]: Extracting #4: cost 134 inf + 1892 9.028 * * [simplify]: Extracting #5: cost 102 inf + 10557 9.034 * * [simplify]: Extracting #6: cost 25 inf + 47722 9.051 * * [simplify]: Extracting #7: cost 0 inf + 63478 9.068 * * [simplify]: Extracting #8: cost 0 inf + 63438 9.079 * [simplify]: Simplified to (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) 9.079 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* 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)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))) 9.080 * [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)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) 9.080 * * [simplify]: iters left: 6 (12 enodes) 9.083 * * [simplify]: iters left: 5 (49 enodes) 9.092 * * [simplify]: iters left: 4 (83 enodes) 9.118 * * [simplify]: iters left: 3 (152 enodes) 9.153 * * [simplify]: iters left: 2 (248 enodes) 9.250 * * [simplify]: iters left: 1 (403 enodes) 9.375 * * [simplify]: Extracting #0: cost 1 inf + 0 9.375 * * [simplify]: Extracting #1: cost 25 inf + 0 9.375 * * [simplify]: Extracting #2: cost 95 inf + 0 9.376 * * [simplify]: Extracting #3: cost 134 inf + 694 9.377 * * [simplify]: Extracting #4: cost 110 inf + 2767 9.379 * * [simplify]: Extracting #5: cost 74 inf + 10605 9.385 * * [simplify]: Extracting #6: cost 29 inf + 28345 9.394 * * [simplify]: Extracting #7: cost 1 inf + 44132 9.404 * * [simplify]: Extracting #8: cost 0 inf + 44836 9.413 * [simplify]: Simplified to (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) 9.413 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))))))) 9.414 * * * * [progress]: [ 41 / 140 ] simplifiying candidate # 9.414 * * * * [progress]: [ 42 / 140 ] simplifiying candidate # 9.414 * [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)))))) (* re re)) 9.414 * * [simplify]: iters left: 6 (10 enodes) 9.417 * * [simplify]: iters left: 5 (38 enodes) 9.429 * * [simplify]: iters left: 4 (56 enodes) 9.450 * * [simplify]: iters left: 3 (97 enodes) 9.486 * * [simplify]: iters left: 2 (184 enodes) 9.525 * * [simplify]: iters left: 1 (294 enodes) 9.628 * * [simplify]: Extracting #0: cost 1 inf + 0 9.628 * * [simplify]: Extracting #1: cost 53 inf + 0 9.628 * * [simplify]: Extracting #2: cost 129 inf + 43 9.629 * * [simplify]: Extracting #3: cost 153 inf + 823 9.630 * * [simplify]: Extracting #4: cost 123 inf + 3514 9.634 * * [simplify]: Extracting #5: cost 69 inf + 17434 9.641 * * [simplify]: Extracting #6: cost 9 inf + 39536 9.654 * * [simplify]: Extracting #7: cost 2 inf + 43511 9.671 * * [simplify]: Extracting #8: cost 0 inf + 45010 9.684 * [simplify]: Simplified to (* im im) 9.685 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) 9.685 * [simplify]: Simplifying (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 9.685 * * [simplify]: iters left: 6 (9 enodes) 9.687 * * [simplify]: iters left: 5 (28 enodes) 9.691 * * [simplify]: iters left: 4 (32 enodes) 9.696 * * [simplify]: Extracting #0: cost 1 inf + 0 9.696 * * [simplify]: Extracting #1: cost 5 inf + 0 9.696 * * [simplify]: Extracting #2: cost 8 inf + 1 9.696 * * [simplify]: Extracting #3: cost 10 inf + 83 9.696 * * [simplify]: Extracting #4: cost 12 inf + 124 9.696 * * [simplify]: Extracting #5: cost 8 inf + 248 9.696 * * [simplify]: Extracting #6: cost 6 inf + 532 9.696 * * [simplify]: Extracting #7: cost 2 inf + 1220 9.697 * * [simplify]: Extracting #8: cost 0 inf + 1624 9.697 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 9.697 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 9.697 * * * * [progress]: [ 43 / 140 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 9.697 * [simplify]: Simplifying (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 9.697 * * [simplify]: iters left: 6 (10 enodes) 9.700 * * [simplify]: iters left: 5 (27 enodes) 9.703 * * [simplify]: iters left: 4 (28 enodes) 9.707 * * [simplify]: Extracting #0: cost 1 inf + 0 9.707 * * [simplify]: Extracting #1: cost 2 inf + 0 9.707 * * [simplify]: Extracting #2: cost 4 inf + 0 9.707 * * [simplify]: Extracting #3: cost 6 inf + 1 9.707 * * [simplify]: Extracting #4: cost 10 inf + 1 9.707 * * [simplify]: Extracting #5: cost 12 inf + 42 9.707 * * [simplify]: Extracting #6: cost 9 inf + 125 9.707 * * [simplify]: Extracting #7: cost 5 inf + 572 9.707 * * [simplify]: Extracting #8: cost 0 inf + 1542 9.708 * [simplify]: Simplified to (real->posit16 (+ re (sqrt (+ (* re re) (* im im))))) 9.708 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ re (sqrt (+ (* re re) (* im im)))))))))) 9.708 * * * * [progress]: [ 44 / 140 ] simplifiying candidate # 9.708 * * * * [progress]: [ 45 / 140 ] simplifiying candidate # 9.708 * [simplify]: Simplifying (+ 1/2 1/2) 9.708 * * [simplify]: iters left: 2 (2 enodes) 9.710 * * [simplify]: iters left: 1 (7 enodes) 9.711 * * [simplify]: Extracting #0: cost 1 inf + 0 9.711 * * [simplify]: Extracting #1: cost 0 inf + 1 9.711 * [simplify]: Simplified to 1 9.711 * [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))))) 9.711 * * * * [progress]: [ 46 / 140 ] simplifiying candidate # 9.712 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 9.712 * * [simplify]: iters left: 4 (5 enodes) 9.717 * * [simplify]: iters left: 3 (18 enodes) 9.725 * * [simplify]: iters left: 2 (20 enodes) 9.730 * * [simplify]: Extracting #0: cost 1 inf + 0 9.730 * * [simplify]: Extracting #1: cost 0 inf + 1 9.730 * [simplify]: Simplified to 1 9.730 * [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))))) 9.730 * * * * [progress]: [ 47 / 140 ] simplifiying candidate # 9.731 * [simplify]: Simplifying (+ 1 1) 9.731 * * [simplify]: iters left: 2 (2 enodes) 9.733 * * [simplify]: iters left: 1 (9 enodes) 9.736 * * [simplify]: Extracting #0: cost 1 inf + 0 9.736 * * [simplify]: Extracting #1: cost 0 inf + 1 9.736 * [simplify]: Simplified to 2 9.736 * [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))))) 9.737 * * * * [progress]: [ 48 / 140 ] simplifiying candidate # 9.737 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 9.737 * * [simplify]: iters left: 4 (4 enodes) 9.742 * * [simplify]: iters left: 3 (13 enodes) 9.746 * * [simplify]: Extracting #0: cost 1 inf + 0 9.746 * * [simplify]: Extracting #1: cost 0 inf + 1 9.746 * [simplify]: Simplified to 1/2 9.746 * [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))))) 9.746 * * * * [progress]: [ 49 / 140 ] simplifiying candidate # 9.747 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 9.747 * * [simplify]: iters left: 6 (7 enodes) 9.754 * * [simplify]: iters left: 5 (28 enodes) 9.764 * * [simplify]: iters left: 4 (32 enodes) 9.776 * * [simplify]: Extracting #0: cost 1 inf + 0 9.776 * * [simplify]: Extracting #1: cost 0 inf + 1 9.776 * [simplify]: Simplified to 1/2 9.776 * [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))))) 9.776 * * * * [progress]: [ 50 / 140 ] simplifiying candidate # 9.776 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 9.776 * * [simplify]: iters left: 4 (5 enodes) 9.780 * * [simplify]: iters left: 3 (18 enodes) 9.783 * * [simplify]: iters left: 2 (20 enodes) 9.787 * * [simplify]: Extracting #0: cost 1 inf + 0 9.787 * * [simplify]: Extracting #1: cost 0 inf + 1 9.787 * [simplify]: Simplified to 1 9.787 * [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))))) 9.787 * * * * [progress]: [ 51 / 140 ] simplifiying candidate # 9.787 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 9.787 * * [simplify]: iters left: 4 (4 enodes) 9.790 * * [simplify]: iters left: 3 (15 enodes) 9.792 * * [simplify]: iters left: 2 (17 enodes) 9.796 * * [simplify]: Extracting #0: cost 1 inf + 0 9.796 * * [simplify]: Extracting #1: cost 0 inf + 1 9.796 * [simplify]: Simplified to 1 9.796 * [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))))) 9.796 * * * * [progress]: [ 52 / 140 ] simplifiying candidate # 9.796 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 9.796 * * [simplify]: iters left: 6 (7 enodes) 9.801 * * [simplify]: iters left: 5 (28 enodes) 9.809 * * [simplify]: iters left: 4 (32 enodes) 9.817 * * [simplify]: Extracting #0: cost 1 inf + 0 9.818 * * [simplify]: Extracting #1: cost 0 inf + 1 9.818 * [simplify]: Simplified to 1/2 9.818 * [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))))) 9.818 * * * * [progress]: [ 53 / 140 ] simplifiying candidate # 9.818 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 9.818 * * [simplify]: iters left: 6 (5 enodes) 9.823 * * [simplify]: iters left: 5 (22 enodes) 9.832 * * [simplify]: iters left: 4 (26 enodes) 9.840 * * [simplify]: Extracting #0: cost 1 inf + 0 9.840 * * [simplify]: Extracting #1: cost 0 inf + 1 9.840 * [simplify]: Simplified to 1/2 9.840 * [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))))) 9.840 * * * * [progress]: [ 54 / 140 ] simplifiying candidate # 9.840 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 9.840 * * [simplify]: iters left: 6 (7 enodes) 9.843 * * [simplify]: iters left: 5 (20 enodes) 9.849 * * [simplify]: iters left: 4 (21 enodes) 9.854 * * [simplify]: Extracting #0: cost 1 inf + 0 9.854 * * [simplify]: Extracting #1: cost 5 inf + 0 9.854 * * [simplify]: Extracting #2: cost 10 inf + 0 9.854 * * [simplify]: Extracting #3: cost 6 inf + 84 9.854 * * [simplify]: Extracting #4: cost 2 inf + 410 9.855 * * [simplify]: Extracting #5: cost 0 inf + 734 9.855 * [simplify]: Simplified to (+ (* re re) (* im im)) 9.855 * [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))))) 9.855 * * * * [progress]: [ 55 / 140 ] simplifiying candidate # 9.856 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 9.856 * * [simplify]: iters left: 6 (8 enodes) 9.859 * * [simplify]: iters left: 5 (23 enodes) 9.865 * * [simplify]: iters left: 4 (24 enodes) 9.871 * * [simplify]: Extracting #0: cost 1 inf + 0 9.871 * * [simplify]: Extracting #1: cost 4 inf + 0 9.871 * * [simplify]: Extracting #2: cost 8 inf + 0 9.871 * * [simplify]: Extracting #3: cost 12 inf + 0 9.871 * * [simplify]: Extracting #4: cost 10 inf + 2 9.871 * * [simplify]: Extracting #5: cost 3 inf + 572 9.872 * * [simplify]: Extracting #6: cost 0 inf + 1138 9.872 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 9.872 * [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))))) 9.872 * * * * [progress]: [ 56 / 140 ] simplifiying candidate # 9.873 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 9.873 * * [simplify]: iters left: 6 (6 enodes) 9.876 * * [simplify]: iters left: 5 (25 enodes) 9.885 * * [simplify]: iters left: 4 (55 enodes) 9.902 * * [simplify]: iters left: 3 (127 enodes) 9.925 * * [simplify]: iters left: 2 (201 enodes) 9.968 * * [simplify]: iters left: 1 (291 enodes) 10.074 * * [simplify]: Extracting #0: cost 1 inf + 0 10.074 * * [simplify]: Extracting #1: cost 13 inf + 0 10.075 * * [simplify]: Extracting #2: cost 56 inf + 0 10.075 * * [simplify]: Extracting #3: cost 73 inf + 491 10.076 * * [simplify]: Extracting #4: cost 38 inf + 4450 10.079 * * [simplify]: Extracting #5: cost 2 inf + 10720 10.082 * * [simplify]: Extracting #6: cost 0 inf + 11044 10.085 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 10.085 * [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))))) 10.085 * * * * [progress]: [ 57 / 140 ] simplifiying candidate # 10.085 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 10.085 * * [simplify]: iters left: 6 (7 enodes) 10.087 * * [simplify]: iters left: 5 (20 enodes) 10.090 * * [simplify]: iters left: 4 (21 enodes) 10.094 * * [simplify]: Extracting #0: cost 1 inf + 0 10.094 * * [simplify]: Extracting #1: cost 5 inf + 0 10.094 * * [simplify]: Extracting #2: cost 10 inf + 0 10.094 * * [simplify]: Extracting #3: cost 6 inf + 84 10.094 * * [simplify]: Extracting #4: cost 2 inf + 410 10.095 * * [simplify]: Extracting #5: cost 0 inf + 734 10.095 * [simplify]: Simplified to (+ (* re re) (* im im)) 10.095 * [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))))) 10.095 * * * * [progress]: [ 58 / 140 ] simplifiying candidate # 10.095 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 10.095 * * [simplify]: iters left: 6 (6 enodes) 10.097 * * [simplify]: iters left: 5 (25 enodes) 10.101 * * [simplify]: iters left: 4 (55 enodes) 10.114 * * [simplify]: iters left: 3 (127 enodes) 10.140 * * [simplify]: iters left: 2 (201 enodes) 10.186 * * [simplify]: iters left: 1 (291 enodes) 10.304 * * [simplify]: Extracting #0: cost 1 inf + 0 10.304 * * [simplify]: Extracting #1: cost 13 inf + 0 10.305 * * [simplify]: Extracting #2: cost 56 inf + 0 10.305 * * [simplify]: Extracting #3: cost 73 inf + 491 10.308 * * [simplify]: Extracting #4: cost 38 inf + 4450 10.313 * * [simplify]: Extracting #5: cost 2 inf + 10720 10.318 * * [simplify]: Extracting #6: cost 0 inf + 11044 10.324 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 10.324 * [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))))) 10.325 * * * * [progress]: [ 59 / 140 ] simplifiying candidate # 10.325 * * * * [progress]: [ 60 / 140 ] simplifiying candidate # 10.325 * [simplify]: Simplifying (+ 1 1) 10.325 * * [simplify]: iters left: 2 (2 enodes) 10.328 * * [simplify]: iters left: 1 (9 enodes) 10.331 * * [simplify]: Extracting #0: cost 1 inf + 0 10.331 * * [simplify]: Extracting #1: cost 0 inf + 1 10.331 * [simplify]: Simplified to 2 10.331 * [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))))) 10.331 * * * * [progress]: [ 61 / 140 ] simplifiying candidate # 10.331 * * * * [progress]: [ 62 / 140 ] simplifiying candidate # 10.332 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 10.332 * * [simplify]: iters left: 6 (9 enodes) 10.336 * * [simplify]: iters left: 5 (28 enodes) 10.343 * * [simplify]: Extracting #0: cost 1 inf + 0 10.344 * * [simplify]: Extracting #1: cost 3 inf + 0 10.344 * * [simplify]: Extracting #2: cost 5 inf + 0 10.344 * * [simplify]: Extracting #3: cost 7 inf + 0 10.344 * * [simplify]: Extracting #4: cost 9 inf + 0 10.344 * * [simplify]: Extracting #5: cost 12 inf + 0 10.344 * * [simplify]: Extracting #6: cost 16 inf + 0 10.344 * * [simplify]: Extracting #7: cost 12 inf + 84 10.344 * * [simplify]: Extracting #8: cost 10 inf + 166 10.344 * * [simplify]: Extracting #9: cost 7 inf + 572 10.345 * * [simplify]: Extracting #10: cost 4 inf + 1208 10.345 * * [simplify]: Extracting #11: cost 1 inf + 1994 10.346 * * [simplify]: Extracting #12: cost 0 inf + 2306 10.347 * [simplify]: Simplified to (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 10.347 * [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))))) 10.347 * * * * [progress]: [ 63 / 140 ] simplifiying candidate # 10.348 * [simplify]: Simplifying (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 10.348 * * [simplify]: iters left: 6 (9 enodes) 10.352 * * [simplify]: iters left: 5 (28 enodes) 10.359 * * [simplify]: iters left: 4 (31 enodes) 10.368 * * [simplify]: Extracting #0: cost 1 inf + 0 10.368 * * [simplify]: Extracting #1: cost 4 inf + 0 10.368 * * [simplify]: Extracting #2: cost 8 inf + 0 10.368 * * [simplify]: Extracting #3: cost 12 inf + 0 10.368 * * [simplify]: Extracting #4: cost 16 inf + 0 10.368 * * [simplify]: Extracting #5: cost 12 inf + 84 10.368 * * [simplify]: Extracting #6: cost 10 inf + 166 10.368 * * [simplify]: Extracting #7: cost 8 inf + 450 10.369 * * [simplify]: Extracting #8: cost 3 inf + 1440 10.370 * * [simplify]: Extracting #9: cost 0 inf + 2146 10.370 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 10.370 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 10.371 * * * * [progress]: [ 64 / 140 ] simplifiying candidate # 10.371 * [simplify]: Simplifying (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 10.371 * * [simplify]: iters left: 6 (9 enodes) 10.375 * * [simplify]: iters left: 5 (28 enodes) 10.383 * * [simplify]: iters left: 4 (35 enodes) 10.393 * * [simplify]: iters left: 3 (46 enodes) 10.407 * * [simplify]: iters left: 2 (70 enodes) 10.431 * * [simplify]: iters left: 1 (126 enodes) 10.480 * * [simplify]: Extracting #0: cost 1 inf + 0 10.481 * * [simplify]: Extracting #1: cost 14 inf + 0 10.481 * * [simplify]: Extracting #2: cost 55 inf + 1 10.481 * * [simplify]: Extracting #3: cost 72 inf + 4 10.482 * * [simplify]: Extracting #4: cost 77 inf + 5 10.482 * * [simplify]: Extracting #5: cost 72 inf + 130 10.483 * * [simplify]: Extracting #6: cost 67 inf + 809 10.484 * * [simplify]: Extracting #7: cost 55 inf + 3821 10.488 * * [simplify]: Extracting #8: cost 32 inf + 10883 10.497 * * [simplify]: Extracting #9: cost 6 inf + 29488 10.508 * * [simplify]: Extracting #10: cost 0 inf + 34953 10.516 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 10.516 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re))))) 10.516 * * * * [progress]: [ 65 / 140 ] simplifiying candidate # 10.516 * [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)))))) 10.516 * * [simplify]: iters left: 6 (10 enodes) 10.519 * * [simplify]: iters left: 5 (36 enodes) 10.524 * * [simplify]: iters left: 4 (47 enodes) 10.533 * * [simplify]: iters left: 3 (79 enodes) 10.557 * * [simplify]: iters left: 2 (163 enodes) 10.599 * * [simplify]: iters left: 1 (302 enodes) 10.690 * * [simplify]: Extracting #0: cost 1 inf + 0 10.690 * * [simplify]: Extracting #1: cost 36 inf + 0 10.691 * * [simplify]: Extracting #2: cost 130 inf + 2 10.691 * * [simplify]: Extracting #3: cost 139 inf + 703 10.694 * * [simplify]: Extracting #4: cost 84 inf + 17053 10.706 * * [simplify]: Extracting #5: cost 11 inf + 50303 10.722 * * [simplify]: Extracting #6: cost 0 inf + 56963 10.740 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 10.740 * [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))))) 10.740 * * * * [progress]: [ 66 / 140 ] simplifiying candidate # 10.741 * [simplify]: Simplifying (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) 10.741 * * [simplify]: iters left: 6 (10 enodes) 10.745 * * [simplify]: iters left: 5 (29 enodes) 10.753 * * [simplify]: iters left: 4 (30 enodes) 10.761 * * [simplify]: Extracting #0: cost 1 inf + 0 10.761 * * [simplify]: Extracting #1: cost 3 inf + 0 10.761 * * [simplify]: Extracting #2: cost 5 inf + 0 10.761 * * [simplify]: Extracting #3: cost 8 inf + 0 10.761 * * [simplify]: Extracting #4: cost 12 inf + 0 10.761 * * [simplify]: Extracting #5: cost 16 inf + 0 10.761 * * [simplify]: Extracting #6: cost 13 inf + 43 10.761 * * [simplify]: Extracting #7: cost 11 inf + 125 10.761 * * [simplify]: Extracting #8: cost 7 inf + 572 10.762 * * [simplify]: Extracting #9: cost 1 inf + 1904 10.763 * * [simplify]: Extracting #10: cost 0 inf + 2186 10.763 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 10.763 * [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))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.764 * [simplify]: Simplifying (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 10.764 * * [simplify]: iters left: 6 (9 enodes) 10.768 * * [simplify]: iters left: 5 (26 enodes) 10.775 * * [simplify]: iters left: 4 (27 enodes) 10.783 * * [simplify]: Extracting #0: cost 1 inf + 0 10.783 * * [simplify]: Extracting #1: cost 3 inf + 0 10.783 * * [simplify]: Extracting #2: cost 6 inf + 0 10.783 * * [simplify]: Extracting #3: cost 10 inf + 0 10.783 * * [simplify]: Extracting #4: cost 14 inf + 0 10.784 * * [simplify]: Extracting #5: cost 10 inf + 84 10.784 * * [simplify]: Extracting #6: cost 8 inf + 166 10.784 * * [simplify]: Extracting #7: cost 5 inf + 572 10.784 * * [simplify]: Extracting #8: cost 2 inf + 1178 10.784 * * [simplify]: Extracting #9: cost 0 inf + 1622 10.785 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 10.785 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 10.785 * * * * [progress]: [ 67 / 140 ] simplifiying candidate # 10.785 * [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)))))) 10.785 * * [simplify]: iters left: 6 (10 enodes) 10.788 * * [simplify]: iters left: 5 (37 enodes) 10.793 * * [simplify]: iters left: 4 (51 enodes) 10.803 * * [simplify]: iters left: 3 (84 enodes) 10.828 * * [simplify]: iters left: 2 (170 enodes) 10.902 * * [simplify]: iters left: 1 (324 enodes) 11.012 * * [simplify]: Extracting #0: cost 1 inf + 0 11.012 * * [simplify]: Extracting #1: cost 30 inf + 0 11.013 * * [simplify]: Extracting #2: cost 98 inf + 2 11.013 * * [simplify]: Extracting #3: cost 99 inf + 216 11.014 * * [simplify]: Extracting #4: cost 91 inf + 1159 11.017 * * [simplify]: Extracting #5: cost 68 inf + 9323 11.026 * * [simplify]: Extracting #6: cost 20 inf + 30547 11.038 * * [simplify]: Extracting #7: cost 1 inf + 43323 11.051 * * [simplify]: Extracting #8: cost 0 inf + 43947 11.065 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 11.065 * [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))))) 11.065 * * * * [progress]: [ 68 / 140 ] simplifiying candidate # 11.065 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 11.066 * * [simplify]: iters left: 6 (7 enodes) 11.069 * * [simplify]: iters left: 5 (20 enodes) 11.075 * * [simplify]: iters left: 4 (21 enodes) 11.080 * * [simplify]: Extracting #0: cost 1 inf + 0 11.080 * * [simplify]: Extracting #1: cost 5 inf + 0 11.080 * * [simplify]: Extracting #2: cost 10 inf + 0 11.080 * * [simplify]: Extracting #3: cost 6 inf + 84 11.080 * * [simplify]: Extracting #4: cost 2 inf + 410 11.081 * * [simplify]: Extracting #5: cost 0 inf + 734 11.081 * [simplify]: Simplified to (+ (* re re) (* im im)) 11.081 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 11.081 * * * * [progress]: [ 69 / 140 ] simplifiying candidate # 11.081 * [simplify]: Simplifying (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 11.082 * * [simplify]: iters left: 6 (9 enodes) 11.085 * * [simplify]: iters left: 5 (26 enodes) 11.092 * * [simplify]: Extracting #0: cost 1 inf + 0 11.092 * * [simplify]: Extracting #1: cost 3 inf + 0 11.092 * * [simplify]: Extracting #2: cost 5 inf + 0 11.092 * * [simplify]: Extracting #3: cost 8 inf + 0 11.092 * * [simplify]: Extracting #4: cost 12 inf + 0 11.092 * * [simplify]: Extracting #5: cost 10 inf + 2 11.093 * * [simplify]: Extracting #6: cost 1 inf + 976 11.093 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.093 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.094 * [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 (+ (* re re) (* im im))))))) re))))) 11.094 * [simplify]: Simplifying (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 11.094 * * [simplify]: iters left: 6 (9 enodes) 11.098 * * [simplify]: iters left: 5 (26 enodes) 11.104 * * [simplify]: Extracting #0: cost 1 inf + 0 11.105 * * [simplify]: Extracting #1: cost 3 inf + 0 11.105 * * [simplify]: Extracting #2: cost 5 inf + 0 11.105 * * [simplify]: Extracting #3: cost 8 inf + 0 11.105 * * [simplify]: Extracting #4: cost 12 inf + 0 11.105 * * [simplify]: Extracting #5: cost 10 inf + 2 11.105 * * [simplify]: Extracting #6: cost 1 inf + 976 11.106 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.106 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.106 * [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 (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 11.106 * * * * [progress]: [ 70 / 140 ] simplifiying candidate # 11.106 * * * * [progress]: [ 71 / 140 ] simplifiying candidate # 11.107 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 11.107 * * [simplify]: iters left: 6 (11 enodes) 11.113 * * [simplify]: iters left: 5 (49 enodes) 11.130 * * [simplify]: iters left: 4 (105 enodes) 11.157 * * [simplify]: iters left: 3 (201 enodes) 11.222 * * [simplify]: iters left: 2 (396 enodes) 11.356 * * [simplify]: Extracting #0: cost 1 inf + 0 11.357 * * [simplify]: Extracting #1: cost 4 inf + 0 11.357 * * [simplify]: Extracting #2: cost 8 inf + 0 11.357 * * [simplify]: Extracting #3: cost 73 inf + 0 11.358 * * [simplify]: Extracting #4: cost 167 inf + 671 11.361 * * [simplify]: Extracting #5: cost 131 inf + 12518 11.369 * * [simplify]: Extracting #6: cost 40 inf + 47480 11.377 * * [simplify]: Extracting #7: cost 3 inf + 63925 11.383 * * [simplify]: Extracting #8: cost 0 inf + 64852 11.389 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 11.389 * [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))))) 11.389 * [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))))))) 11.390 * * [simplify]: iters left: 6 (12 enodes) 11.393 * * [simplify]: iters left: 5 (56 enodes) 11.403 * * [simplify]: iters left: 4 (124 enodes) 11.451 * * [simplify]: iters left: 3 (239 enodes) 11.521 * * [simplify]: iters left: 2 (372 enodes) 11.671 * * [simplify]: Extracting #0: cost 1 inf + 0 11.671 * * [simplify]: Extracting #1: cost 4 inf + 0 11.672 * * [simplify]: Extracting #2: cost 24 inf + 0 11.672 * * [simplify]: Extracting #3: cost 150 inf + 0 11.674 * * [simplify]: Extracting #4: cost 210 inf + 1501 11.678 * * [simplify]: Extracting #5: cost 96 inf + 17493 11.684 * * [simplify]: Extracting #6: cost 7 inf + 34019 11.692 * * [simplify]: Extracting #7: cost 0 inf + 35684 11.706 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 11.707 * [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))))) 11.707 * * * * [progress]: [ 72 / 140 ] simplifiying candidate # 11.707 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 11.708 * * [simplify]: iters left: 6 (16 enodes) 11.717 * * [simplify]: iters left: 5 (78 enodes) 11.735 * * [simplify]: iters left: 4 (137 enodes) 11.764 * * [simplify]: iters left: 3 (277 enodes) 11.844 * * [simplify]: Extracting #0: cost 1 inf + 0 11.844 * * [simplify]: Extracting #1: cost 4 inf + 0 11.844 * * [simplify]: Extracting #2: cost 8 inf + 0 11.844 * * [simplify]: Extracting #3: cost 12 inf + 0 11.844 * * [simplify]: Extracting #4: cost 33 inf + 0 11.844 * * [simplify]: Extracting #5: cost 117 inf + 0 11.845 * * [simplify]: Extracting #6: cost 150 inf + 2842 11.847 * * [simplify]: Extracting #7: cost 67 inf + 16237 11.852 * * [simplify]: Extracting #8: cost 16 inf + 30113 11.857 * * [simplify]: Extracting #9: cost 0 inf + 36484 11.862 * [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))))))) 11.862 * [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))))) 11.862 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 11.862 * * [simplify]: iters left: 6 (15 enodes) 11.866 * * [simplify]: iters left: 5 (73 enodes) 11.884 * * [simplify]: iters left: 4 (150 enodes) 11.913 * * [simplify]: iters left: 3 (266 enodes) 11.981 * * [simplify]: iters left: 2 (422 enodes) 12.155 * * [simplify]: Extracting #0: cost 1 inf + 0 12.155 * * [simplify]: Extracting #1: cost 4 inf + 0 12.155 * * [simplify]: Extracting #2: cost 8 inf + 0 12.155 * * [simplify]: Extracting #3: cost 12 inf + 0 12.155 * * [simplify]: Extracting #4: cost 70 inf + 0 12.156 * * [simplify]: Extracting #5: cost 208 inf + 0 12.160 * * [simplify]: Extracting #6: cost 210 inf + 6208 12.173 * * [simplify]: Extracting #7: cost 55 inf + 31941 12.190 * * [simplify]: Extracting #8: cost 3 inf + 42328 12.208 * * [simplify]: Extracting #9: cost 0 inf + 43084 12.221 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) 12.221 * [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))))) 12.221 * * * * [progress]: [ 73 / 140 ] simplifiying candidate # 12.221 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 12.221 * * [simplify]: iters left: 6 (16 enodes) 12.226 * * [simplify]: iters left: 5 (78 enodes) 12.242 * * [simplify]: iters left: 4 (137 enodes) 12.302 * * [simplify]: iters left: 3 (280 enodes) 12.389 * * [simplify]: Extracting #0: cost 1 inf + 0 12.389 * * [simplify]: Extracting #1: cost 4 inf + 0 12.389 * * [simplify]: Extracting #2: cost 8 inf + 0 12.389 * * [simplify]: Extracting #3: cost 12 inf + 0 12.389 * * [simplify]: Extracting #4: cost 33 inf + 0 12.389 * * [simplify]: Extracting #5: cost 117 inf + 0 12.390 * * [simplify]: Extracting #6: cost 150 inf + 1705 12.392 * * [simplify]: Extracting #7: cost 69 inf + 14265 12.396 * * [simplify]: Extracting #8: cost 29 inf + 24436 12.402 * * [simplify]: Extracting #9: cost 1 inf + 35930 12.407 * * [simplify]: Extracting #10: cost 0 inf + 36393 12.412 * [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)))))) 12.412 * [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))))) 12.412 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 12.413 * * [simplify]: iters left: 6 (15 enodes) 12.417 * * [simplify]: iters left: 5 (73 enodes) 12.439 * * [simplify]: iters left: 4 (150 enodes) 12.476 * * [simplify]: iters left: 3 (267 enodes) 12.556 * * [simplify]: iters left: 2 (423 enodes) 12.707 * * [simplify]: Extracting #0: cost 1 inf + 0 12.707 * * [simplify]: Extracting #1: cost 4 inf + 0 12.707 * * [simplify]: Extracting #2: cost 8 inf + 0 12.707 * * [simplify]: Extracting #3: cost 12 inf + 0 12.707 * * [simplify]: Extracting #4: cost 70 inf + 0 12.708 * * [simplify]: Extracting #5: cost 208 inf + 0 12.711 * * [simplify]: Extracting #6: cost 226 inf + 4062 12.722 * * [simplify]: Extracting #7: cost 89 inf + 25154 12.739 * * [simplify]: Extracting #8: cost 2 inf + 42460 12.757 * * [simplify]: Extracting #9: cost 0 inf + 42884 12.779 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 12.779 * [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))))) 12.779 * * * * [progress]: [ 74 / 140 ] simplifiying candidate # 12.780 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 12.780 * * [simplify]: iters left: 6 (10 enodes) 12.785 * * [simplify]: iters left: 5 (41 enodes) 12.795 * * [simplify]: iters left: 4 (72 enodes) 12.807 * * [simplify]: iters left: 3 (128 enodes) 12.845 * * [simplify]: iters left: 2 (283 enodes) 12.991 * * [simplify]: Extracting #0: cost 1 inf + 0 12.991 * * [simplify]: Extracting #1: cost 4 inf + 0 12.991 * * [simplify]: Extracting #2: cost 52 inf + 0 12.991 * * [simplify]: Extracting #3: cost 152 inf + 0 12.992 * * [simplify]: Extracting #4: cost 199 inf + 535 12.994 * * [simplify]: Extracting #5: cost 161 inf + 5103 12.999 * * [simplify]: Extracting #6: cost 30 inf + 30852 13.007 * * [simplify]: Extracting #7: cost 0 inf + 36613 13.023 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.023 * [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))))) 13.024 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) 13.024 * * [simplify]: iters left: 6 (8 enodes) 13.028 * * [simplify]: iters left: 5 (27 enodes) 13.035 * * [simplify]: iters left: 4 (41 enodes) 13.047 * * [simplify]: iters left: 3 (58 enodes) 13.062 * * [simplify]: iters left: 2 (99 enodes) 13.083 * * [simplify]: iters left: 1 (182 enodes) 13.136 * * [simplify]: Extracting #0: cost 1 inf + 0 13.136 * * [simplify]: Extracting #1: cost 4 inf + 0 13.136 * * [simplify]: Extracting #2: cost 25 inf + 0 13.137 * * [simplify]: Extracting #3: cost 59 inf + 0 13.137 * * [simplify]: Extracting #4: cost 51 inf + 412 13.139 * * [simplify]: Extracting #5: cost 18 inf + 3835 13.141 * * [simplify]: Extracting #6: cost 1 inf + 6149 13.143 * * [simplify]: Extracting #7: cost 0 inf + 6351 13.145 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 13.145 * [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))))) 13.145 * * * * [progress]: [ 75 / 140 ] simplifiying candidate # 13.145 * * * * [progress]: [ 76 / 140 ] simplifiying candidate # 13.145 * [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))))))) 13.145 * * [simplify]: iters left: 6 (10 enodes) 13.147 * * [simplify]: iters left: 5 (35 enodes) 13.152 * * [simplify]: iters left: 4 (39 enodes) 13.159 * * [simplify]: iters left: 3 (50 enodes) 13.172 * * [simplify]: iters left: 2 (74 enodes) 13.194 * * [simplify]: iters left: 1 (122 enodes) 13.221 * * [simplify]: Extracting #0: cost 1 inf + 0 13.221 * * [simplify]: Extracting #1: cost 13 inf + 0 13.221 * * [simplify]: Extracting #2: cost 40 inf + 1 13.221 * * [simplify]: Extracting #3: cost 40 inf + 7 13.222 * * [simplify]: Extracting #4: cost 42 inf + 9 13.222 * * [simplify]: Extracting #5: cost 45 inf + 10 13.222 * * [simplify]: Extracting #6: cost 41 inf + 94 13.223 * * [simplify]: Extracting #7: cost 35 inf + 744 13.224 * * [simplify]: Extracting #8: cost 31 inf + 1752 13.226 * * [simplify]: Extracting #9: cost 12 inf + 11228 13.231 * * [simplify]: Extracting #10: cost 2 inf + 18297 13.237 * * [simplify]: Extracting #11: cost 0 inf + 19785 13.243 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.243 * [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))))) 13.244 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.244 * * [simplify]: iters left: 6 (9 enodes) 13.247 * * [simplify]: iters left: 5 (28 enodes) 13.251 * * [simplify]: Extracting #0: cost 1 inf + 0 13.251 * * [simplify]: Extracting #1: cost 3 inf + 0 13.251 * * [simplify]: Extracting #2: cost 5 inf + 0 13.251 * * [simplify]: Extracting #3: cost 7 inf + 0 13.251 * * [simplify]: Extracting #4: cost 9 inf + 0 13.252 * * [simplify]: Extracting #5: cost 12 inf + 0 13.252 * * [simplify]: Extracting #6: cost 16 inf + 0 13.252 * * [simplify]: Extracting #7: cost 12 inf + 84 13.252 * * [simplify]: Extracting #8: cost 10 inf + 166 13.252 * * [simplify]: Extracting #9: cost 7 inf + 572 13.252 * * [simplify]: Extracting #10: cost 4 inf + 1218 13.252 * * [simplify]: Extracting #11: cost 1 inf + 2024 13.253 * * [simplify]: Extracting #12: cost 0 inf + 2346 13.253 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.253 * [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))))) 13.253 * * * * [progress]: [ 77 / 140 ] simplifiying candidate # 13.254 * [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))))))) 13.254 * * [simplify]: iters left: 6 (10 enodes) 13.256 * * [simplify]: iters left: 5 (30 enodes) 13.260 * * [simplify]: iters left: 4 (31 enodes) 13.264 * * [simplify]: Extracting #0: cost 1 inf + 0 13.264 * * [simplify]: Extracting #1: cost 4 inf + 0 13.264 * * [simplify]: Extracting #2: cost 7 inf + 0 13.264 * * [simplify]: Extracting #3: cost 9 inf + 0 13.264 * * [simplify]: Extracting #4: cost 12 inf + 0 13.264 * * [simplify]: Extracting #5: cost 16 inf + 0 13.264 * * [simplify]: Extracting #6: cost 12 inf + 84 13.264 * * [simplify]: Extracting #7: cost 10 inf + 166 13.264 * * [simplify]: Extracting #8: cost 8 inf + 450 13.264 * * [simplify]: Extracting #9: cost 3 inf + 1540 13.267 * * [simplify]: Extracting #10: cost 0 inf + 2346 13.267 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 13.267 * [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))))) 13.267 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 13.267 * * [simplify]: iters left: 6 (9 enodes) 13.269 * * [simplify]: iters left: 5 (26 enodes) 13.273 * * [simplify]: iters left: 4 (27 enodes) 13.276 * * [simplify]: Extracting #0: cost 1 inf + 0 13.276 * * [simplify]: Extracting #1: cost 4 inf + 0 13.276 * * [simplify]: Extracting #2: cost 7 inf + 0 13.277 * * [simplify]: Extracting #3: cost 10 inf + 0 13.277 * * [simplify]: Extracting #4: cost 14 inf + 0 13.277 * * [simplify]: Extracting #5: cost 10 inf + 84 13.277 * * [simplify]: Extracting #6: cost 8 inf + 166 13.277 * * [simplify]: Extracting #7: cost 5 inf + 572 13.277 * * [simplify]: Extracting #8: cost 2 inf + 1258 13.278 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.279 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 13.279 * [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))))) 13.279 * * * * [progress]: [ 78 / 140 ] simplifiying candidate # 13.279 * [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))))))) 13.279 * * [simplify]: iters left: 6 (10 enodes) 13.284 * * [simplify]: iters left: 5 (30 enodes) 13.292 * * [simplify]: iters left: 4 (31 enodes) 13.300 * * [simplify]: Extracting #0: cost 1 inf + 0 13.300 * * [simplify]: Extracting #1: cost 5 inf + 0 13.300 * * [simplify]: Extracting #2: cost 9 inf + 0 13.300 * * [simplify]: Extracting #3: cost 12 inf + 0 13.300 * * [simplify]: Extracting #4: cost 16 inf + 0 13.301 * * [simplify]: Extracting #5: cost 12 inf + 84 13.301 * * [simplify]: Extracting #6: cost 10 inf + 166 13.301 * * [simplify]: Extracting #7: cost 7 inf + 732 13.302 * * [simplify]: Extracting #8: cost 2 inf + 1822 13.302 * * [simplify]: Extracting #9: cost 0 inf + 2346 13.303 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.303 * [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))))) 13.304 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 13.304 * * [simplify]: iters left: 6 (9 enodes) 13.308 * * [simplify]: iters left: 5 (26 enodes) 13.315 * * [simplify]: iters left: 4 (27 enodes) 13.321 * * [simplify]: Extracting #0: cost 1 inf + 0 13.321 * * [simplify]: Extracting #1: cost 4 inf + 0 13.321 * * [simplify]: Extracting #2: cost 7 inf + 0 13.322 * * [simplify]: Extracting #3: cost 10 inf + 0 13.322 * * [simplify]: Extracting #4: cost 14 inf + 0 13.322 * * [simplify]: Extracting #5: cost 10 inf + 84 13.322 * * [simplify]: Extracting #6: cost 8 inf + 166 13.322 * * [simplify]: Extracting #7: cost 5 inf + 612 13.323 * * [simplify]: Extracting #8: cost 2 inf + 1338 13.323 * * [simplify]: Extracting #9: cost 0 inf + 1862 13.324 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 13.324 * [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))))) 13.324 * * * * [progress]: [ 79 / 140 ] simplifiying candidate # 13.324 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.325 * * [simplify]: iters left: 6 (9 enodes) 13.328 * * [simplify]: iters left: 5 (26 enodes) 13.335 * * [simplify]: iters left: 4 (27 enodes) 13.342 * * [simplify]: Extracting #0: cost 1 inf + 0 13.342 * * [simplify]: Extracting #1: cost 4 inf + 0 13.343 * * [simplify]: Extracting #2: cost 7 inf + 0 13.343 * * [simplify]: Extracting #3: cost 10 inf + 0 13.343 * * [simplify]: Extracting #4: cost 14 inf + 0 13.343 * * [simplify]: Extracting #5: cost 10 inf + 84 13.343 * * [simplify]: Extracting #6: cost 8 inf + 166 13.343 * * [simplify]: Extracting #7: cost 5 inf + 572 13.344 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.344 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.345 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.345 * [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))))) 13.345 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.345 * * [simplify]: iters left: 6 (9 enodes) 13.349 * * [simplify]: iters left: 5 (26 enodes) 13.356 * * [simplify]: iters left: 4 (27 enodes) 13.363 * * [simplify]: Extracting #0: cost 1 inf + 0 13.363 * * [simplify]: Extracting #1: cost 4 inf + 0 13.363 * * [simplify]: Extracting #2: cost 7 inf + 0 13.363 * * [simplify]: Extracting #3: cost 10 inf + 0 13.363 * * [simplify]: Extracting #4: cost 14 inf + 0 13.363 * * [simplify]: Extracting #5: cost 10 inf + 84 13.364 * * [simplify]: Extracting #6: cost 8 inf + 166 13.364 * * [simplify]: Extracting #7: cost 5 inf + 572 13.364 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.365 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.365 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.366 * [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))))) 13.366 * * * * [progress]: [ 80 / 140 ] simplifiying candidate # 13.366 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.366 * * [simplify]: iters left: 6 (9 enodes) 13.370 * * [simplify]: iters left: 5 (26 enodes) 13.377 * * [simplify]: iters left: 4 (27 enodes) 13.384 * * [simplify]: Extracting #0: cost 1 inf + 0 13.384 * * [simplify]: Extracting #1: cost 4 inf + 0 13.384 * * [simplify]: Extracting #2: cost 7 inf + 0 13.384 * * [simplify]: Extracting #3: cost 10 inf + 0 13.384 * * [simplify]: Extracting #4: cost 14 inf + 0 13.384 * * [simplify]: Extracting #5: cost 10 inf + 84 13.384 * * [simplify]: Extracting #6: cost 8 inf + 166 13.385 * * [simplify]: Extracting #7: cost 5 inf + 572 13.385 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.386 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.386 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.386 * [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))))) 13.387 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.387 * * [simplify]: iters left: 6 (9 enodes) 13.390 * * [simplify]: iters left: 5 (26 enodes) 13.397 * * [simplify]: iters left: 4 (27 enodes) 13.404 * * [simplify]: Extracting #0: cost 1 inf + 0 13.404 * * [simplify]: Extracting #1: cost 4 inf + 0 13.404 * * [simplify]: Extracting #2: cost 7 inf + 0 13.404 * * [simplify]: Extracting #3: cost 10 inf + 0 13.404 * * [simplify]: Extracting #4: cost 14 inf + 0 13.404 * * [simplify]: Extracting #5: cost 10 inf + 84 13.405 * * [simplify]: Extracting #6: cost 8 inf + 166 13.405 * * [simplify]: Extracting #7: cost 5 inf + 572 13.405 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.406 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.406 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.406 * [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))))) 13.407 * * * * [progress]: [ 81 / 140 ] simplifiying candidate # 13.408 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.408 * * [simplify]: iters left: 6 (9 enodes) 13.412 * * [simplify]: iters left: 5 (26 enodes) 13.419 * * [simplify]: iters left: 4 (27 enodes) 13.425 * * [simplify]: Extracting #0: cost 1 inf + 0 13.425 * * [simplify]: Extracting #1: cost 4 inf + 0 13.425 * * [simplify]: Extracting #2: cost 7 inf + 0 13.425 * * [simplify]: Extracting #3: cost 10 inf + 0 13.425 * * [simplify]: Extracting #4: cost 14 inf + 0 13.426 * * [simplify]: Extracting #5: cost 10 inf + 84 13.426 * * [simplify]: Extracting #6: cost 8 inf + 166 13.426 * * [simplify]: Extracting #7: cost 5 inf + 572 13.426 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.427 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.427 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.428 * [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))))) 13.428 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.428 * * [simplify]: iters left: 6 (9 enodes) 13.432 * * [simplify]: iters left: 5 (26 enodes) 13.438 * * [simplify]: iters left: 4 (27 enodes) 13.445 * * [simplify]: Extracting #0: cost 1 inf + 0 13.445 * * [simplify]: Extracting #1: cost 4 inf + 0 13.446 * * [simplify]: Extracting #2: cost 7 inf + 0 13.446 * * [simplify]: Extracting #3: cost 10 inf + 0 13.446 * * [simplify]: Extracting #4: cost 14 inf + 0 13.446 * * [simplify]: Extracting #5: cost 10 inf + 84 13.446 * * [simplify]: Extracting #6: cost 8 inf + 166 13.446 * * [simplify]: Extracting #7: cost 5 inf + 572 13.447 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.447 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.448 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.448 * [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))))) 13.448 * * * * [progress]: [ 82 / 140 ] simplifiying candidate # 13.448 * [simplify]: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) 13.448 * * [simplify]: iters left: 4 (4 enodes) 13.455 * * [simplify]: iters left: 3 (12 enodes) 13.457 * * [simplify]: iters left: 2 (14 enodes) 13.459 * * [simplify]: Extracting #0: cost 1 inf + 0 13.459 * * [simplify]: Extracting #1: cost 0 inf + 1 13.459 * [simplify]: Simplified to 1 13.459 * [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))))) 13.459 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 13.459 * * [simplify]: iters left: 6 (8 enodes) 13.461 * * [simplify]: iters left: 5 (23 enodes) 13.464 * * [simplify]: iters left: 4 (24 enodes) 13.467 * * [simplify]: Extracting #0: cost 1 inf + 0 13.467 * * [simplify]: Extracting #1: cost 4 inf + 0 13.467 * * [simplify]: Extracting #2: cost 8 inf + 0 13.467 * * [simplify]: Extracting #3: cost 12 inf + 0 13.467 * * [simplify]: Extracting #4: cost 10 inf + 2 13.467 * * [simplify]: Extracting #5: cost 3 inf + 572 13.468 * * [simplify]: Extracting #6: cost 0 inf + 1138 13.468 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.468 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 13.468 * * * * [progress]: [ 83 / 140 ] simplifiying candidate # 13.468 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.468 * * [simplify]: iters left: 6 (9 enodes) 13.470 * * [simplify]: iters left: 5 (26 enodes) 13.474 * * [simplify]: iters left: 4 (27 enodes) 13.477 * * [simplify]: Extracting #0: cost 1 inf + 0 13.477 * * [simplify]: Extracting #1: cost 4 inf + 0 13.477 * * [simplify]: Extracting #2: cost 7 inf + 0 13.477 * * [simplify]: Extracting #3: cost 10 inf + 0 13.477 * * [simplify]: Extracting #4: cost 14 inf + 0 13.477 * * [simplify]: Extracting #5: cost 10 inf + 84 13.477 * * [simplify]: Extracting #6: cost 8 inf + 166 13.477 * * [simplify]: Extracting #7: cost 5 inf + 572 13.477 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.478 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.478 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.478 * [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))))) 13.478 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.478 * * [simplify]: iters left: 6 (9 enodes) 13.480 * * [simplify]: iters left: 5 (26 enodes) 13.484 * * [simplify]: iters left: 4 (27 enodes) 13.491 * * [simplify]: Extracting #0: cost 1 inf + 0 13.491 * * [simplify]: Extracting #1: cost 4 inf + 0 13.491 * * [simplify]: Extracting #2: cost 7 inf + 0 13.491 * * [simplify]: Extracting #3: cost 10 inf + 0 13.491 * * [simplify]: Extracting #4: cost 14 inf + 0 13.491 * * [simplify]: Extracting #5: cost 10 inf + 84 13.491 * * [simplify]: Extracting #6: cost 8 inf + 166 13.492 * * [simplify]: Extracting #7: cost 5 inf + 572 13.492 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.493 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.493 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.493 * [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))))) 13.493 * * * * [progress]: [ 84 / 140 ] simplifiying candidate # 13.494 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.494 * * [simplify]: iters left: 6 (9 enodes) 13.498 * * [simplify]: iters left: 5 (26 enodes) 13.502 * * [simplify]: iters left: 4 (27 enodes) 13.505 * * [simplify]: Extracting #0: cost 1 inf + 0 13.505 * * [simplify]: Extracting #1: cost 4 inf + 0 13.505 * * [simplify]: Extracting #2: cost 7 inf + 0 13.506 * * [simplify]: Extracting #3: cost 10 inf + 0 13.506 * * [simplify]: Extracting #4: cost 14 inf + 0 13.506 * * [simplify]: Extracting #5: cost 10 inf + 84 13.506 * * [simplify]: Extracting #6: cost 8 inf + 166 13.506 * * [simplify]: Extracting #7: cost 5 inf + 572 13.506 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.506 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.507 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.507 * [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))))) 13.507 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.507 * * [simplify]: iters left: 6 (9 enodes) 13.509 * * [simplify]: iters left: 5 (26 enodes) 13.512 * * [simplify]: iters left: 4 (27 enodes) 13.517 * * [simplify]: Extracting #0: cost 1 inf + 0 13.517 * * [simplify]: Extracting #1: cost 4 inf + 0 13.517 * * [simplify]: Extracting #2: cost 7 inf + 0 13.517 * * [simplify]: Extracting #3: cost 10 inf + 0 13.517 * * [simplify]: Extracting #4: cost 14 inf + 0 13.518 * * [simplify]: Extracting #5: cost 10 inf + 84 13.518 * * [simplify]: Extracting #6: cost 8 inf + 166 13.518 * * [simplify]: Extracting #7: cost 5 inf + 572 13.518 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.518 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.519 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.519 * [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))))) 13.519 * * * * [progress]: [ 85 / 140 ] simplifiying candidate # 13.519 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.519 * * [simplify]: iters left: 6 (9 enodes) 13.521 * * [simplify]: iters left: 5 (26 enodes) 13.524 * * [simplify]: iters left: 4 (27 enodes) 13.528 * * [simplify]: Extracting #0: cost 1 inf + 0 13.528 * * [simplify]: Extracting #1: cost 4 inf + 0 13.528 * * [simplify]: Extracting #2: cost 7 inf + 0 13.528 * * [simplify]: Extracting #3: cost 10 inf + 0 13.528 * * [simplify]: Extracting #4: cost 14 inf + 0 13.528 * * [simplify]: Extracting #5: cost 10 inf + 84 13.528 * * [simplify]: Extracting #6: cost 8 inf + 166 13.528 * * [simplify]: Extracting #7: cost 5 inf + 572 13.528 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.529 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.529 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.529 * [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))))) 13.529 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.529 * * [simplify]: iters left: 6 (9 enodes) 13.531 * * [simplify]: iters left: 5 (26 enodes) 13.537 * * [simplify]: iters left: 4 (27 enodes) 13.544 * * [simplify]: Extracting #0: cost 1 inf + 0 13.544 * * [simplify]: Extracting #1: cost 4 inf + 0 13.544 * * [simplify]: Extracting #2: cost 7 inf + 0 13.544 * * [simplify]: Extracting #3: cost 10 inf + 0 13.544 * * [simplify]: Extracting #4: cost 14 inf + 0 13.544 * * [simplify]: Extracting #5: cost 10 inf + 84 13.544 * * [simplify]: Extracting #6: cost 8 inf + 166 13.545 * * [simplify]: Extracting #7: cost 5 inf + 572 13.545 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.545 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.546 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.546 * [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))))) 13.546 * * * * [progress]: [ 86 / 140 ] simplifiying candidate # 13.547 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 13.547 * * [simplify]: iters left: 3 (3 enodes) 13.550 * * [simplify]: iters left: 2 (9 enodes) 13.553 * * [simplify]: iters left: 1 (11 enodes) 13.556 * * [simplify]: Extracting #0: cost 1 inf + 0 13.556 * * [simplify]: Extracting #1: cost 0 inf + 1 13.556 * [simplify]: Simplified to 1 13.556 * [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))))) 13.556 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 13.556 * * [simplify]: iters left: 6 (8 enodes) 13.560 * * [simplify]: iters left: 5 (23 enodes) 13.567 * * [simplify]: iters left: 4 (24 enodes) 13.570 * * [simplify]: Extracting #0: cost 1 inf + 0 13.570 * * [simplify]: Extracting #1: cost 4 inf + 0 13.570 * * [simplify]: Extracting #2: cost 8 inf + 0 13.570 * * [simplify]: Extracting #3: cost 12 inf + 0 13.571 * * [simplify]: Extracting #4: cost 10 inf + 2 13.571 * * [simplify]: Extracting #5: cost 3 inf + 572 13.571 * * [simplify]: Extracting #6: cost 0 inf + 1138 13.571 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.571 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 13.571 * * * * [progress]: [ 87 / 140 ] simplifiying candidate # 13.571 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.572 * * [simplify]: iters left: 6 (9 enodes) 13.573 * * [simplify]: iters left: 5 (26 enodes) 13.577 * * [simplify]: iters left: 4 (27 enodes) 13.580 * * [simplify]: Extracting #0: cost 1 inf + 0 13.580 * * [simplify]: Extracting #1: cost 4 inf + 0 13.580 * * [simplify]: Extracting #2: cost 7 inf + 0 13.580 * * [simplify]: Extracting #3: cost 10 inf + 0 13.580 * * [simplify]: Extracting #4: cost 14 inf + 0 13.580 * * [simplify]: Extracting #5: cost 10 inf + 84 13.580 * * [simplify]: Extracting #6: cost 8 inf + 166 13.580 * * [simplify]: Extracting #7: cost 5 inf + 572 13.581 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.581 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.581 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.581 * [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))))) 13.582 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.582 * * [simplify]: iters left: 6 (9 enodes) 13.583 * * [simplify]: iters left: 5 (26 enodes) 13.587 * * [simplify]: iters left: 4 (27 enodes) 13.590 * * [simplify]: Extracting #0: cost 1 inf + 0 13.590 * * [simplify]: Extracting #1: cost 4 inf + 0 13.590 * * [simplify]: Extracting #2: cost 7 inf + 0 13.590 * * [simplify]: Extracting #3: cost 10 inf + 0 13.590 * * [simplify]: Extracting #4: cost 14 inf + 0 13.590 * * [simplify]: Extracting #5: cost 10 inf + 84 13.590 * * [simplify]: Extracting #6: cost 8 inf + 166 13.591 * * [simplify]: Extracting #7: cost 5 inf + 572 13.591 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.591 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.591 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.591 * [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))))) 13.592 * * * * [progress]: [ 88 / 140 ] simplifiying candidate # 13.592 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.592 * * [simplify]: iters left: 6 (9 enodes) 13.594 * * [simplify]: iters left: 5 (26 enodes) 13.597 * * [simplify]: iters left: 4 (27 enodes) 13.600 * * [simplify]: Extracting #0: cost 1 inf + 0 13.600 * * [simplify]: Extracting #1: cost 4 inf + 0 13.601 * * [simplify]: Extracting #2: cost 7 inf + 0 13.601 * * [simplify]: Extracting #3: cost 10 inf + 0 13.601 * * [simplify]: Extracting #4: cost 14 inf + 0 13.601 * * [simplify]: Extracting #5: cost 10 inf + 84 13.601 * * [simplify]: Extracting #6: cost 8 inf + 166 13.601 * * [simplify]: Extracting #7: cost 5 inf + 572 13.601 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.601 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.602 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.602 * [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))))) 13.602 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.602 * * [simplify]: iters left: 6 (9 enodes) 13.604 * * [simplify]: iters left: 5 (26 enodes) 13.607 * * [simplify]: iters left: 4 (27 enodes) 13.612 * * [simplify]: Extracting #0: cost 1 inf + 0 13.612 * * [simplify]: Extracting #1: cost 4 inf + 0 13.612 * * [simplify]: Extracting #2: cost 7 inf + 0 13.612 * * [simplify]: Extracting #3: cost 10 inf + 0 13.612 * * [simplify]: Extracting #4: cost 14 inf + 0 13.612 * * [simplify]: Extracting #5: cost 10 inf + 84 13.612 * * [simplify]: Extracting #6: cost 8 inf + 166 13.612 * * [simplify]: Extracting #7: cost 5 inf + 572 13.612 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.613 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.613 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.613 * [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))))) 13.613 * * * * [progress]: [ 89 / 140 ] simplifiying candidate # 13.613 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.613 * * [simplify]: iters left: 6 (9 enodes) 13.615 * * [simplify]: iters left: 5 (26 enodes) 13.619 * * [simplify]: iters left: 4 (27 enodes) 13.622 * * [simplify]: Extracting #0: cost 1 inf + 0 13.623 * * [simplify]: Extracting #1: cost 4 inf + 0 13.623 * * [simplify]: Extracting #2: cost 7 inf + 0 13.623 * * [simplify]: Extracting #3: cost 10 inf + 0 13.623 * * [simplify]: Extracting #4: cost 14 inf + 0 13.623 * * [simplify]: Extracting #5: cost 10 inf + 84 13.623 * * [simplify]: Extracting #6: cost 8 inf + 166 13.623 * * [simplify]: Extracting #7: cost 5 inf + 572 13.623 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.623 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.624 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.624 * [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))))) 13.624 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.624 * * [simplify]: iters left: 6 (9 enodes) 13.626 * * [simplify]: iters left: 5 (26 enodes) 13.631 * * [simplify]: iters left: 4 (27 enodes) 13.637 * * [simplify]: Extracting #0: cost 1 inf + 0 13.637 * * [simplify]: Extracting #1: cost 4 inf + 0 13.637 * * [simplify]: Extracting #2: cost 7 inf + 0 13.638 * * [simplify]: Extracting #3: cost 10 inf + 0 13.638 * * [simplify]: Extracting #4: cost 14 inf + 0 13.638 * * [simplify]: Extracting #5: cost 10 inf + 84 13.638 * * [simplify]: Extracting #6: cost 8 inf + 166 13.638 * * [simplify]: Extracting #7: cost 5 inf + 572 13.638 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.639 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.640 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.640 * [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))))) 13.640 * * * * [progress]: [ 90 / 140 ] simplifiying candidate # 13.640 * [simplify]: Simplifying (* 1 1) 13.640 * * [simplify]: iters left: 2 (2 enodes) 13.642 * * [simplify]: iters left: 1 (6 enodes) 13.644 * * [simplify]: Extracting #0: cost 1 inf + 0 13.644 * * [simplify]: Extracting #1: cost 0 inf + 1 13.644 * [simplify]: Simplified to 1 13.644 * [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))))) 13.644 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 13.645 * * [simplify]: iters left: 6 (8 enodes) 13.648 * * [simplify]: iters left: 5 (23 enodes) 13.654 * * [simplify]: iters left: 4 (24 enodes) 13.658 * * [simplify]: Extracting #0: cost 1 inf + 0 13.658 * * [simplify]: Extracting #1: cost 4 inf + 0 13.658 * * [simplify]: Extracting #2: cost 8 inf + 0 13.658 * * [simplify]: Extracting #3: cost 12 inf + 0 13.658 * * [simplify]: Extracting #4: cost 10 inf + 2 13.658 * * [simplify]: Extracting #5: cost 3 inf + 572 13.658 * * [simplify]: Extracting #6: cost 0 inf + 1138 13.659 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.659 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 13.659 * * * * [progress]: [ 91 / 140 ] simplifiying candidate # 13.659 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.659 * * [simplify]: iters left: 6 (9 enodes) 13.661 * * [simplify]: iters left: 5 (26 enodes) 13.664 * * [simplify]: iters left: 4 (27 enodes) 13.667 * * [simplify]: Extracting #0: cost 1 inf + 0 13.667 * * [simplify]: Extracting #1: cost 4 inf + 0 13.668 * * [simplify]: Extracting #2: cost 7 inf + 0 13.668 * * [simplify]: Extracting #3: cost 10 inf + 0 13.668 * * [simplify]: Extracting #4: cost 14 inf + 0 13.668 * * [simplify]: Extracting #5: cost 10 inf + 84 13.668 * * [simplify]: Extracting #6: cost 8 inf + 166 13.668 * * [simplify]: Extracting #7: cost 5 inf + 572 13.668 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.668 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.669 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.669 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 13.669 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.669 * * [simplify]: iters left: 6 (9 enodes) 13.671 * * [simplify]: iters left: 5 (26 enodes) 13.674 * * [simplify]: iters left: 4 (27 enodes) 13.678 * * [simplify]: Extracting #0: cost 1 inf + 0 13.678 * * [simplify]: Extracting #1: cost 4 inf + 0 13.678 * * [simplify]: Extracting #2: cost 7 inf + 0 13.678 * * [simplify]: Extracting #3: cost 10 inf + 0 13.678 * * [simplify]: Extracting #4: cost 14 inf + 0 13.678 * * [simplify]: Extracting #5: cost 10 inf + 84 13.678 * * [simplify]: Extracting #6: cost 8 inf + 166 13.678 * * [simplify]: Extracting #7: cost 5 inf + 572 13.678 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.679 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.679 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.679 * [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))))) 13.679 * * * * [progress]: [ 92 / 140 ] simplifiying candidate # 13.679 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.679 * * [simplify]: iters left: 6 (9 enodes) 13.681 * * [simplify]: iters left: 5 (26 enodes) 13.685 * * [simplify]: iters left: 4 (27 enodes) 13.688 * * [simplify]: Extracting #0: cost 1 inf + 0 13.688 * * [simplify]: Extracting #1: cost 4 inf + 0 13.688 * * [simplify]: Extracting #2: cost 7 inf + 0 13.688 * * [simplify]: Extracting #3: cost 10 inf + 0 13.688 * * [simplify]: Extracting #4: cost 14 inf + 0 13.688 * * [simplify]: Extracting #5: cost 10 inf + 84 13.689 * * [simplify]: Extracting #6: cost 8 inf + 166 13.689 * * [simplify]: Extracting #7: cost 5 inf + 572 13.689 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.690 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.690 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.690 * [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))))) 13.691 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.691 * * [simplify]: iters left: 6 (9 enodes) 13.695 * * [simplify]: iters left: 5 (26 enodes) 13.702 * * [simplify]: iters left: 4 (27 enodes) 13.709 * * [simplify]: Extracting #0: cost 1 inf + 0 13.709 * * [simplify]: Extracting #1: cost 4 inf + 0 13.709 * * [simplify]: Extracting #2: cost 7 inf + 0 13.709 * * [simplify]: Extracting #3: cost 10 inf + 0 13.709 * * [simplify]: Extracting #4: cost 14 inf + 0 13.709 * * [simplify]: Extracting #5: cost 10 inf + 84 13.709 * * [simplify]: Extracting #6: cost 8 inf + 166 13.710 * * [simplify]: Extracting #7: cost 5 inf + 572 13.710 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.711 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.711 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.712 * [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))))) 13.713 * * * * [progress]: [ 93 / 140 ] simplifiying candidate # 13.713 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.713 * * [simplify]: iters left: 6 (9 enodes) 13.717 * * [simplify]: iters left: 5 (26 enodes) 13.724 * * [simplify]: iters left: 4 (27 enodes) 13.731 * * [simplify]: Extracting #0: cost 1 inf + 0 13.731 * * [simplify]: Extracting #1: cost 4 inf + 0 13.731 * * [simplify]: Extracting #2: cost 7 inf + 0 13.731 * * [simplify]: Extracting #3: cost 10 inf + 0 13.731 * * [simplify]: Extracting #4: cost 14 inf + 0 13.731 * * [simplify]: Extracting #5: cost 10 inf + 84 13.731 * * [simplify]: Extracting #6: cost 8 inf + 166 13.732 * * [simplify]: Extracting #7: cost 5 inf + 572 13.732 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.732 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.733 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.733 * [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))))) 13.733 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.734 * * [simplify]: iters left: 6 (9 enodes) 13.737 * * [simplify]: iters left: 5 (26 enodes) 13.744 * * [simplify]: iters left: 4 (27 enodes) 13.751 * * [simplify]: Extracting #0: cost 1 inf + 0 13.751 * * [simplify]: Extracting #1: cost 4 inf + 0 13.751 * * [simplify]: Extracting #2: cost 7 inf + 0 13.751 * * [simplify]: Extracting #3: cost 10 inf + 0 13.752 * * [simplify]: Extracting #4: cost 14 inf + 0 13.752 * * [simplify]: Extracting #5: cost 10 inf + 84 13.752 * * [simplify]: Extracting #6: cost 8 inf + 166 13.752 * * [simplify]: Extracting #7: cost 5 inf + 572 13.752 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.753 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.753 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.753 * [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))))) 13.754 * * * * [progress]: [ 94 / 140 ] simplifiying candidate # 13.754 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.754 * * [simplify]: iters left: 6 (9 enodes) 13.758 * * [simplify]: iters left: 5 (26 enodes) 13.765 * * [simplify]: iters left: 4 (27 enodes) 13.771 * * [simplify]: Extracting #0: cost 1 inf + 0 13.772 * * [simplify]: Extracting #1: cost 4 inf + 0 13.772 * * [simplify]: Extracting #2: cost 7 inf + 0 13.772 * * [simplify]: Extracting #3: cost 10 inf + 0 13.772 * * [simplify]: Extracting #4: cost 14 inf + 0 13.772 * * [simplify]: Extracting #5: cost 10 inf + 84 13.772 * * [simplify]: Extracting #6: cost 8 inf + 166 13.772 * * [simplify]: Extracting #7: cost 5 inf + 572 13.773 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.773 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.774 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.774 * [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))))) 13.775 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.775 * * [simplify]: iters left: 6 (9 enodes) 13.778 * * [simplify]: iters left: 5 (26 enodes) 13.785 * * [simplify]: iters left: 4 (27 enodes) 13.792 * * [simplify]: Extracting #0: cost 1 inf + 0 13.792 * * [simplify]: Extracting #1: cost 4 inf + 0 13.792 * * [simplify]: Extracting #2: cost 7 inf + 0 13.792 * * [simplify]: Extracting #3: cost 10 inf + 0 13.792 * * [simplify]: Extracting #4: cost 14 inf + 0 13.792 * * [simplify]: Extracting #5: cost 10 inf + 84 13.792 * * [simplify]: Extracting #6: cost 8 inf + 166 13.793 * * [simplify]: Extracting #7: cost 5 inf + 572 13.793 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.794 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.794 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.794 * [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))))) 13.794 * * * * [progress]: [ 95 / 140 ] simplifiying candidate # 13.795 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.795 * * [simplify]: iters left: 6 (9 enodes) 13.799 * * [simplify]: iters left: 5 (26 enodes) 13.805 * * [simplify]: iters left: 4 (27 enodes) 13.812 * * [simplify]: Extracting #0: cost 1 inf + 0 13.812 * * [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 13.813 * * [simplify]: Extracting #6: cost 8 inf + 166 13.813 * * [simplify]: Extracting #7: cost 5 inf + 572 13.813 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.814 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.814 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.815 * [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))))) 13.815 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.815 * * [simplify]: iters left: 6 (9 enodes) 13.819 * * [simplify]: iters left: 5 (26 enodes) 13.826 * * [simplify]: iters left: 4 (27 enodes) 13.833 * * [simplify]: Extracting #0: cost 1 inf + 0 13.833 * * [simplify]: Extracting #1: cost 4 inf + 0 13.833 * * [simplify]: Extracting #2: cost 7 inf + 0 13.833 * * [simplify]: Extracting #3: cost 10 inf + 0 13.833 * * [simplify]: Extracting #4: cost 14 inf + 0 13.833 * * [simplify]: Extracting #5: cost 10 inf + 84 13.833 * * [simplify]: Extracting #6: cost 8 inf + 166 13.833 * * [simplify]: Extracting #7: cost 5 inf + 572 13.834 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.834 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.835 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.835 * [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))))) 13.835 * * * * [progress]: [ 96 / 140 ] simplifiying candidate # 13.835 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.836 * * [simplify]: iters left: 6 (9 enodes) 13.839 * * [simplify]: iters left: 5 (26 enodes) 13.846 * * [simplify]: iters left: 4 (27 enodes) 13.853 * * [simplify]: Extracting #0: cost 1 inf + 0 13.853 * * [simplify]: Extracting #1: cost 4 inf + 0 13.853 * * [simplify]: Extracting #2: cost 7 inf + 0 13.853 * * [simplify]: Extracting #3: cost 10 inf + 0 13.853 * * [simplify]: Extracting #4: cost 14 inf + 0 13.853 * * [simplify]: Extracting #5: cost 10 inf + 84 13.854 * * [simplify]: Extracting #6: cost 8 inf + 166 13.854 * * [simplify]: Extracting #7: cost 5 inf + 572 13.854 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.855 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.855 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.855 * [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))))) 13.856 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.856 * * [simplify]: iters left: 6 (9 enodes) 13.860 * * [simplify]: iters left: 5 (26 enodes) 13.867 * * [simplify]: iters left: 4 (27 enodes) 13.874 * * [simplify]: Extracting #0: cost 1 inf + 0 13.874 * * [simplify]: Extracting #1: cost 4 inf + 0 13.874 * * [simplify]: Extracting #2: cost 7 inf + 0 13.874 * * [simplify]: Extracting #3: cost 10 inf + 0 13.875 * * [simplify]: Extracting #4: cost 14 inf + 0 13.875 * * [simplify]: Extracting #5: cost 10 inf + 84 13.875 * * [simplify]: Extracting #6: cost 8 inf + 166 13.875 * * [simplify]: Extracting #7: cost 5 inf + 572 13.875 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.876 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.877 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.877 * [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))))) 13.877 * * * * [progress]: [ 97 / 140 ] simplifiying candidate # 13.877 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.877 * * [simplify]: iters left: 6 (9 enodes) 13.880 * * [simplify]: iters left: 5 (26 enodes) 13.884 * * [simplify]: iters left: 4 (27 enodes) 13.887 * * [simplify]: Extracting #0: cost 1 inf + 0 13.887 * * [simplify]: Extracting #1: cost 4 inf + 0 13.887 * * [simplify]: Extracting #2: cost 7 inf + 0 13.887 * * [simplify]: Extracting #3: cost 10 inf + 0 13.887 * * [simplify]: Extracting #4: cost 14 inf + 0 13.887 * * [simplify]: Extracting #5: cost 10 inf + 84 13.888 * * [simplify]: Extracting #6: cost 8 inf + 166 13.888 * * [simplify]: Extracting #7: cost 5 inf + 572 13.888 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.888 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.888 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.889 * [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))))) 13.889 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.889 * * [simplify]: iters left: 6 (9 enodes) 13.891 * * [simplify]: iters left: 5 (26 enodes) 13.894 * * [simplify]: iters left: 4 (27 enodes) 13.897 * * [simplify]: Extracting #0: cost 1 inf + 0 13.897 * * [simplify]: Extracting #1: cost 4 inf + 0 13.898 * * [simplify]: Extracting #2: cost 7 inf + 0 13.898 * * [simplify]: Extracting #3: cost 10 inf + 0 13.898 * * [simplify]: Extracting #4: cost 14 inf + 0 13.898 * * [simplify]: Extracting #5: cost 10 inf + 84 13.898 * * [simplify]: Extracting #6: cost 8 inf + 166 13.898 * * [simplify]: Extracting #7: cost 5 inf + 572 13.898 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.898 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.899 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.899 * [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))))) 13.899 * * * * [progress]: [ 98 / 140 ] simplifiying candidate # 13.899 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.899 * * [simplify]: iters left: 6 (9 enodes) 13.901 * * [simplify]: iters left: 5 (26 enodes) 13.904 * * [simplify]: iters left: 4 (27 enodes) 13.908 * * [simplify]: Extracting #0: cost 1 inf + 0 13.908 * * [simplify]: Extracting #1: cost 4 inf + 0 13.908 * * [simplify]: Extracting #2: cost 7 inf + 0 13.908 * * [simplify]: Extracting #3: cost 10 inf + 0 13.908 * * [simplify]: Extracting #4: cost 14 inf + 0 13.908 * * [simplify]: Extracting #5: cost 10 inf + 84 13.908 * * [simplify]: Extracting #6: cost 8 inf + 166 13.908 * * [simplify]: Extracting #7: cost 5 inf + 572 13.908 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.909 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.909 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.909 * [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))))) 13.909 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.909 * * [simplify]: iters left: 6 (9 enodes) 13.911 * * [simplify]: iters left: 5 (26 enodes) 13.914 * * [simplify]: iters left: 4 (27 enodes) 13.920 * * [simplify]: Extracting #0: cost 1 inf + 0 13.920 * * [simplify]: Extracting #1: cost 4 inf + 0 13.920 * * [simplify]: Extracting #2: cost 7 inf + 0 13.920 * * [simplify]: Extracting #3: cost 10 inf + 0 13.920 * * [simplify]: Extracting #4: cost 14 inf + 0 13.920 * * [simplify]: Extracting #5: cost 10 inf + 84 13.920 * * [simplify]: Extracting #6: cost 8 inf + 166 13.920 * * [simplify]: Extracting #7: cost 5 inf + 572 13.921 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.921 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.922 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.922 * [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))))) 13.922 * * * * [progress]: [ 99 / 140 ] simplifiying candidate # 13.923 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.923 * * [simplify]: iters left: 6 (9 enodes) 13.927 * * [simplify]: iters left: 5 (26 enodes) 13.934 * * [simplify]: iters left: 4 (27 enodes) 13.941 * * [simplify]: Extracting #0: cost 1 inf + 0 13.941 * * [simplify]: Extracting #1: cost 4 inf + 0 13.941 * * [simplify]: Extracting #2: cost 7 inf + 0 13.941 * * [simplify]: Extracting #3: cost 10 inf + 0 13.941 * * [simplify]: Extracting #4: cost 14 inf + 0 13.941 * * [simplify]: Extracting #5: cost 10 inf + 84 13.941 * * [simplify]: Extracting #6: cost 8 inf + 166 13.941 * * [simplify]: Extracting #7: cost 5 inf + 572 13.942 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.942 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.943 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.943 * [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))))) 13.943 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 13.943 * * [simplify]: iters left: 6 (9 enodes) 13.947 * * [simplify]: iters left: 5 (26 enodes) 13.954 * * [simplify]: iters left: 4 (27 enodes) 13.961 * * [simplify]: Extracting #0: cost 1 inf + 0 13.961 * * [simplify]: Extracting #1: cost 4 inf + 0 13.961 * * [simplify]: Extracting #2: cost 7 inf + 0 13.961 * * [simplify]: Extracting #3: cost 10 inf + 0 13.961 * * [simplify]: Extracting #4: cost 14 inf + 0 13.961 * * [simplify]: Extracting #5: cost 10 inf + 84 13.961 * * [simplify]: Extracting #6: cost 8 inf + 166 13.962 * * [simplify]: Extracting #7: cost 5 inf + 572 13.962 * * [simplify]: Extracting #8: cost 2 inf + 1178 13.963 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.963 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.963 * [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))))) 13.964 * * * * [progress]: [ 100 / 140 ] simplifiying candidate # 13.964 * [simplify]: Simplifying (* 2 1/2) 13.964 * * [simplify]: iters left: 2 (3 enodes) 13.968 * * [simplify]: iters left: 1 (11 enodes) 13.972 * * [simplify]: Extracting #0: cost 1 inf + 0 13.972 * * [simplify]: Extracting #1: cost 0 inf + 1 13.972 * [simplify]: Simplified to 1 13.972 * [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))))) 13.972 * * * * [progress]: [ 101 / 140 ] simplifiying candidate # 13.972 * [simplify]: Simplifying (* 2 1) 13.972 * * [simplify]: iters left: 2 (3 enodes) 13.975 * * [simplify]: iters left: 1 (9 enodes) 13.980 * * [simplify]: Extracting #0: cost 1 inf + 0 13.980 * * [simplify]: Extracting #1: cost 0 inf + 1 13.980 * [simplify]: Simplified to 2 13.980 * [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))))) 13.980 * * * * [progress]: [ 102 / 140 ] simplifiying candidate # 13.981 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 13.981 * * [simplify]: iters left: 4 (4 enodes) 13.986 * * [simplify]: iters left: 3 (17 enodes) 13.991 * * [simplify]: iters left: 2 (21 enodes) 13.996 * * [simplify]: iters left: 1 (23 enodes) 14.000 * * [simplify]: Extracting #0: cost 1 inf + 0 14.000 * * [simplify]: Extracting #1: cost 0 inf + 1 14.000 * [simplify]: Simplified to 1/2 14.000 * [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))))) 14.000 * * * * [progress]: [ 103 / 140 ] simplifiying candidate # 14.000 * [simplify]: Simplifying (* 2 (/ 1 2)) 14.000 * * [simplify]: iters left: 4 (4 enodes) 14.002 * * [simplify]: iters left: 3 (13 enodes) 14.004 * * [simplify]: iters left: 2 (15 enodes) 14.007 * * [simplify]: Extracting #0: cost 1 inf + 0 14.007 * * [simplify]: Extracting #1: cost 0 inf + 1 14.007 * [simplify]: Simplified to 1 14.007 * [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))))) 14.007 * * * * [progress]: [ 104 / 140 ] simplifiying candidate # 14.007 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 14.007 * * [simplify]: iters left: 6 (5 enodes) 14.011 * * [simplify]: iters left: 5 (25 enodes) 14.015 * * [simplify]: iters left: 4 (29 enodes) 14.019 * * [simplify]: Extracting #0: cost 1 inf + 0 14.019 * * [simplify]: Extracting #1: cost 0 inf + 1 14.019 * [simplify]: Simplified to 1/2 14.019 * [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))))) 14.019 * * * * [progress]: [ 105 / 140 ] simplifiying candidate # 14.019 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 14.019 * * [simplify]: iters left: 6 (10 enodes) 14.022 * * [simplify]: iters left: 5 (34 enodes) 14.026 * * [simplify]: iters left: 4 (38 enodes) 14.035 * * [simplify]: Extracting #0: cost 1 inf + 0 14.035 * * [simplify]: Extracting #1: cost 6 inf + 0 14.036 * * [simplify]: Extracting #2: cost 11 inf + 0 14.036 * * [simplify]: Extracting #3: cost 13 inf + 0 14.036 * * [simplify]: Extracting #4: cost 16 inf + 0 14.036 * * [simplify]: Extracting #5: cost 20 inf + 0 14.036 * * [simplify]: Extracting #6: cost 17 inf + 43 14.036 * * [simplify]: Extracting #7: cost 15 inf + 125 14.036 * * [simplify]: Extracting #8: cost 11 inf + 572 14.037 * * [simplify]: Extracting #9: cost 6 inf + 1702 14.038 * * [simplify]: Extracting #10: cost 1 inf + 3392 14.039 * * [simplify]: Extracting #11: cost 0 inf + 3714 14.040 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 14.040 * [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))))) 14.040 * * * * [progress]: [ 106 / 140 ] simplifiying candidate # 14.041 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 14.041 * * [simplify]: iters left: 6 (11 enodes) 14.045 * * [simplify]: iters left: 5 (36 enodes) 14.055 * * [simplify]: Extracting #0: cost 1 inf + 0 14.055 * * [simplify]: Extracting #1: cost 4 inf + 0 14.055 * * [simplify]: Extracting #2: cost 9 inf + 0 14.055 * * [simplify]: Extracting #3: cost 13 inf + 0 14.055 * * [simplify]: Extracting #4: cost 16 inf + 0 14.055 * * [simplify]: Extracting #5: cost 20 inf + 0 14.055 * * [simplify]: Extracting #6: cost 17 inf + 43 14.055 * * [simplify]: Extracting #7: cost 15 inf + 125 14.056 * * [simplify]: Extracting #8: cost 7 inf + 1620 14.057 * * [simplify]: Extracting #9: cost 0 inf + 3474 14.058 * [simplify]: Simplified to (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.058 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.058 * * * * [progress]: [ 107 / 140 ] simplifiying candidate # 14.058 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 14.058 * * [simplify]: iters left: 6 (12 enodes) 14.063 * * [simplify]: iters left: 5 (39 enodes) 14.074 * * [simplify]: Extracting #0: cost 1 inf + 0 14.074 * * [simplify]: Extracting #1: cost 4 inf + 0 14.074 * * [simplify]: Extracting #2: cost 8 inf + 0 14.074 * * [simplify]: Extracting #3: cost 13 inf + 0 14.074 * * [simplify]: Extracting #4: cost 18 inf + 0 14.074 * * [simplify]: Extracting #5: cost 22 inf + 0 14.074 * * [simplify]: Extracting #6: cost 19 inf + 43 14.075 * * [simplify]: Extracting #7: cost 16 inf + 166 14.075 * * [simplify]: Extracting #8: cost 12 inf + 894 14.076 * * [simplify]: Extracting #9: cost 1 inf + 3476 14.077 * * [simplify]: Extracting #10: cost 0 inf + 3878 14.078 * [simplify]: Simplified to (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.078 * [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 (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 14.078 * * * * [progress]: [ 108 / 140 ] simplifiying candidate # 14.079 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 14.079 * * [simplify]: iters left: 6 (9 enodes) 14.081 * * [simplify]: iters left: 5 (29 enodes) 14.085 * * [simplify]: Extracting #0: cost 1 inf + 0 14.085 * * [simplify]: Extracting #1: cost 4 inf + 0 14.085 * * [simplify]: Extracting #2: cost 7 inf + 0 14.085 * * [simplify]: Extracting #3: cost 9 inf + 0 14.085 * * [simplify]: Extracting #4: cost 12 inf + 0 14.085 * * [simplify]: Extracting #5: cost 16 inf + 0 14.085 * * [simplify]: Extracting #6: cost 12 inf + 84 14.085 * * [simplify]: Extracting #7: cost 10 inf + 166 14.085 * * [simplify]: Extracting #8: cost 7 inf + 572 14.085 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.086 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.086 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.086 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.087 * [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 (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.087 * * * * [progress]: [ 109 / 140 ] simplifiying candidate # 14.087 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) 14.087 * * [simplify]: iters left: 6 (11 enodes) 14.092 * * [simplify]: iters left: 5 (37 enodes) 14.098 * * [simplify]: iters left: 4 (39 enodes) 14.103 * * [simplify]: iters left: 3 (42 enodes) 14.109 * * [simplify]: Extracting #0: cost 1 inf + 0 14.109 * * [simplify]: Extracting #1: cost 4 inf + 0 14.109 * * [simplify]: Extracting #2: cost 5 inf + 1 14.109 * * [simplify]: Extracting #3: cost 8 inf + 1 14.109 * * [simplify]: Extracting #4: cost 12 inf + 1 14.109 * * [simplify]: Extracting #5: cost 9 inf + 44 14.109 * * [simplify]: Extracting #6: cost 6 inf + 167 14.109 * * [simplify]: Extracting #7: cost 4 inf + 451 14.110 * * [simplify]: Extracting #8: cost 0 inf + 1139 14.110 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 14.111 * [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))))) 14.111 * * * * [progress]: [ 110 / 140 ] simplifiying candidate # 14.111 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 14.111 * * [simplify]: iters left: 6 (9 enodes) 14.115 * * [simplify]: iters left: 5 (29 enodes) 14.122 * * [simplify]: Extracting #0: cost 1 inf + 0 14.123 * * [simplify]: Extracting #1: cost 4 inf + 0 14.123 * * [simplify]: Extracting #2: cost 7 inf + 0 14.123 * * [simplify]: Extracting #3: cost 9 inf + 0 14.123 * * [simplify]: Extracting #4: cost 12 inf + 0 14.123 * * [simplify]: Extracting #5: cost 16 inf + 0 14.123 * * [simplify]: Extracting #6: cost 12 inf + 84 14.123 * * [simplify]: Extracting #7: cost 10 inf + 166 14.123 * * [simplify]: Extracting #8: cost 7 inf + 572 14.124 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.125 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.125 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.126 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.126 * [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 (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.126 * * * * [progress]: [ 111 / 140 ] simplifiying candidate # 14.127 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) 14.127 * * [simplify]: iters left: 6 (10 enodes) 14.133 * * [simplify]: iters left: 5 (34 enodes) 14.142 * * [simplify]: iters left: 4 (36 enodes) 14.152 * * [simplify]: iters left: 3 (39 enodes) 14.161 * * [simplify]: Extracting #0: cost 1 inf + 0 14.161 * * [simplify]: Extracting #1: cost 4 inf + 0 14.161 * * [simplify]: Extracting #2: cost 5 inf + 1 14.161 * * [simplify]: Extracting #3: cost 8 inf + 1 14.161 * * [simplify]: Extracting #4: cost 12 inf + 1 14.161 * * [simplify]: Extracting #5: cost 9 inf + 44 14.161 * * [simplify]: Extracting #6: cost 7 inf + 126 14.161 * * [simplify]: Extracting #7: cost 1 inf + 977 14.161 * * [simplify]: Extracting #8: cost 0 inf + 1139 14.162 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 14.162 * [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))))) 14.162 * * * * [progress]: [ 112 / 140 ] simplifiying candidate # 14.162 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 14.162 * * [simplify]: iters left: 6 (9 enodes) 14.164 * * [simplify]: iters left: 5 (29 enodes) 14.168 * * [simplify]: Extracting #0: cost 1 inf + 0 14.168 * * [simplify]: Extracting #1: cost 4 inf + 0 14.168 * * [simplify]: Extracting #2: cost 7 inf + 0 14.168 * * [simplify]: Extracting #3: cost 9 inf + 0 14.168 * * [simplify]: Extracting #4: cost 12 inf + 0 14.168 * * [simplify]: Extracting #5: cost 16 inf + 0 14.168 * * [simplify]: Extracting #6: cost 12 inf + 84 14.168 * * [simplify]: Extracting #7: cost 10 inf + 166 14.168 * * [simplify]: Extracting #8: cost 7 inf + 572 14.168 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.169 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.169 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.169 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.169 * [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 (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.169 * * * * [progress]: [ 113 / 140 ] simplifiying candidate # 14.170 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) 14.170 * * [simplify]: iters left: 6 (9 enodes) 14.172 * * [simplify]: iters left: 5 (29 enodes) 14.177 * * [simplify]: iters left: 4 (33 enodes) 14.182 * * [simplify]: Extracting #0: cost 1 inf + 0 14.182 * * [simplify]: Extracting #1: cost 4 inf + 0 14.182 * * [simplify]: Extracting #2: cost 5 inf + 1 14.182 * * [simplify]: Extracting #3: cost 8 inf + 1 14.182 * * [simplify]: Extracting #4: cost 12 inf + 1 14.182 * * [simplify]: Extracting #5: cost 8 inf + 85 14.182 * * [simplify]: Extracting #6: cost 6 inf + 167 14.182 * * [simplify]: Extracting #7: cost 4 inf + 451 14.182 * * [simplify]: Extracting #8: cost 1 inf + 937 14.182 * * [simplify]: Extracting #9: cost 0 inf + 1139 14.183 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 14.183 * [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))))) 14.183 * * * * [progress]: [ 114 / 140 ] simplifiying candidate # 14.183 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.183 * * [simplify]: iters left: 6 (9 enodes) 14.185 * * [simplify]: iters left: 5 (29 enodes) 14.190 * * [simplify]: Extracting #0: cost 1 inf + 0 14.190 * * [simplify]: Extracting #1: cost 4 inf + 0 14.190 * * [simplify]: Extracting #2: cost 7 inf + 0 14.190 * * [simplify]: Extracting #3: cost 9 inf + 0 14.190 * * [simplify]: Extracting #4: cost 12 inf + 0 14.190 * * [simplify]: Extracting #5: cost 16 inf + 0 14.190 * * [simplify]: Extracting #6: cost 12 inf + 84 14.190 * * [simplify]: Extracting #7: cost 10 inf + 166 14.191 * * [simplify]: Extracting #8: cost 7 inf + 572 14.191 * * [simplify]: Extracting #9: cost 4 inf + 1218 14.192 * * [simplify]: Extracting #10: cost 1 inf + 2024 14.192 * * [simplify]: Extracting #11: cost 0 inf + 2346 14.193 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.193 * [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))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.193 * * * * [progress]: [ 115 / 140 ] simplifiying candidate # 14.194 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.194 * * [simplify]: iters left: 6 (10 enodes) 14.198 * * [simplify]: iters left: 5 (32 enodes) 14.206 * * [simplify]: Extracting #0: cost 1 inf + 0 14.206 * * [simplify]: Extracting #1: cost 4 inf + 0 14.206 * * [simplify]: Extracting #2: cost 8 inf + 0 14.206 * * [simplify]: Extracting #3: cost 11 inf + 0 14.206 * * [simplify]: Extracting #4: cost 14 inf + 0 14.206 * * [simplify]: Extracting #5: cost 18 inf + 0 14.206 * * [simplify]: Extracting #6: cost 15 inf + 43 14.206 * * [simplify]: Extracting #7: cost 13 inf + 125 14.206 * * [simplify]: Extracting #8: cost 9 inf + 572 14.207 * * [simplify]: Extracting #9: cost 1 inf + 2628 14.207 * * [simplify]: Extracting #10: cost 0 inf + 2910 14.208 * [simplify]: Simplified to (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.208 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.208 * * * * [progress]: [ 116 / 140 ] simplifiying candidate # 14.208 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.208 * * [simplify]: iters left: 6 (11 enodes) 14.210 * * [simplify]: iters left: 5 (35 enodes) 14.215 * * [simplify]: Extracting #0: cost 1 inf + 0 14.215 * * [simplify]: Extracting #1: cost 4 inf + 0 14.215 * * [simplify]: Extracting #2: cost 8 inf + 0 14.215 * * [simplify]: Extracting #3: cost 12 inf + 0 14.215 * * [simplify]: Extracting #4: cost 16 inf + 0 14.215 * * [simplify]: Extracting #5: cost 20 inf + 0 14.215 * * [simplify]: Extracting #6: cost 16 inf + 84 14.215 * * [simplify]: Extracting #7: cost 14 inf + 166 14.215 * * [simplify]: Extracting #8: cost 9 inf + 1016 14.216 * * [simplify]: Extracting #9: cost 4 inf + 2066 14.216 * * [simplify]: Extracting #10: cost 0 inf + 3394 14.217 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 14.217 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 14.217 * * * * [progress]: [ 117 / 140 ] simplifiying candidate # 14.217 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.217 * * [simplify]: iters left: 6 (9 enodes) 14.219 * * [simplify]: iters left: 5 (29 enodes) 14.223 * * [simplify]: Extracting #0: cost 1 inf + 0 14.223 * * [simplify]: Extracting #1: cost 4 inf + 0 14.223 * * [simplify]: Extracting #2: cost 7 inf + 0 14.223 * * [simplify]: Extracting #3: cost 9 inf + 0 14.223 * * [simplify]: Extracting #4: cost 12 inf + 0 14.223 * * [simplify]: Extracting #5: cost 16 inf + 0 14.223 * * [simplify]: Extracting #6: cost 12 inf + 84 14.223 * * [simplify]: Extracting #7: cost 10 inf + 166 14.223 * * [simplify]: Extracting #8: cost 7 inf + 572 14.223 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.224 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.224 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.225 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.225 * [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))))) 14.225 * * * * [progress]: [ 118 / 140 ] simplifiying candidate # 14.225 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.225 * * [simplify]: iters left: 6 (8 enodes) 14.227 * * [simplify]: iters left: 5 (23 enodes) 14.230 * * [simplify]: iters left: 4 (24 enodes) 14.233 * * [simplify]: Extracting #0: cost 1 inf + 0 14.233 * * [simplify]: Extracting #1: cost 4 inf + 0 14.233 * * [simplify]: Extracting #2: cost 8 inf + 0 14.233 * * [simplify]: Extracting #3: cost 12 inf + 0 14.233 * * [simplify]: Extracting #4: cost 10 inf + 2 14.233 * * [simplify]: Extracting #5: cost 3 inf + 572 14.233 * * [simplify]: Extracting #6: cost 0 inf + 1138 14.233 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.234 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))))) 14.234 * * * * [progress]: [ 119 / 140 ] simplifiying candidate # 14.234 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.234 * * [simplify]: iters left: 6 (9 enodes) 14.236 * * [simplify]: iters left: 5 (29 enodes) 14.240 * * [simplify]: Extracting #0: cost 1 inf + 0 14.240 * * [simplify]: Extracting #1: cost 4 inf + 0 14.240 * * [simplify]: Extracting #2: cost 7 inf + 0 14.240 * * [simplify]: Extracting #3: cost 9 inf + 0 14.240 * * [simplify]: Extracting #4: cost 12 inf + 0 14.240 * * [simplify]: Extracting #5: cost 16 inf + 0 14.240 * * [simplify]: Extracting #6: cost 12 inf + 84 14.240 * * [simplify]: Extracting #7: cost 10 inf + 166 14.240 * * [simplify]: Extracting #8: cost 7 inf + 572 14.241 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.241 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.242 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.243 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.243 * [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))))) 14.243 * * * * [progress]: [ 120 / 140 ] simplifiying candidate # 14.243 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.244 * * [simplify]: iters left: 6 (8 enodes) 14.247 * * [simplify]: iters left: 5 (23 enodes) 14.253 * * [simplify]: iters left: 4 (24 enodes) 14.259 * * [simplify]: Extracting #0: cost 1 inf + 0 14.259 * * [simplify]: Extracting #1: cost 4 inf + 0 14.259 * * [simplify]: Extracting #2: cost 8 inf + 0 14.259 * * [simplify]: Extracting #3: cost 12 inf + 0 14.259 * * [simplify]: Extracting #4: cost 10 inf + 2 14.260 * * [simplify]: Extracting #5: cost 3 inf + 572 14.260 * * [simplify]: Extracting #6: cost 0 inf + 1138 14.260 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.261 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re))))) 14.261 * * * * [progress]: [ 121 / 140 ] simplifiying candidate # 14.261 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.261 * * [simplify]: iters left: 6 (9 enodes) 14.265 * * [simplify]: iters left: 5 (29 enodes) 14.272 * * [simplify]: Extracting #0: cost 1 inf + 0 14.272 * * [simplify]: Extracting #1: cost 4 inf + 0 14.272 * * [simplify]: Extracting #2: cost 7 inf + 0 14.272 * * [simplify]: Extracting #3: cost 9 inf + 0 14.273 * * [simplify]: Extracting #4: cost 12 inf + 0 14.273 * * [simplify]: Extracting #5: cost 16 inf + 0 14.273 * * [simplify]: Extracting #6: cost 12 inf + 84 14.273 * * [simplify]: Extracting #7: cost 10 inf + 166 14.273 * * [simplify]: Extracting #8: cost 7 inf + 572 14.274 * * [simplify]: Extracting #9: cost 4 inf + 1178 14.274 * * [simplify]: Extracting #10: cost 1 inf + 1904 14.275 * * [simplify]: Extracting #11: cost 0 inf + 2186 14.276 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.276 * [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))))) 14.276 * * * * [progress]: [ 122 / 140 ] simplifiying candidate # 14.276 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.276 * * [simplify]: iters left: 6 (8 enodes) 14.280 * * [simplify]: iters left: 5 (23 enodes) 14.286 * * [simplify]: iters left: 4 (24 enodes) 14.292 * * [simplify]: Extracting #0: cost 1 inf + 0 14.292 * * [simplify]: Extracting #1: cost 4 inf + 0 14.292 * * [simplify]: Extracting #2: cost 8 inf + 0 14.292 * * [simplify]: Extracting #3: cost 12 inf + 0 14.292 * * [simplify]: Extracting #4: cost 10 inf + 2 14.292 * * [simplify]: Extracting #5: cost 3 inf + 572 14.293 * * [simplify]: Extracting #6: cost 0 inf + 1138 14.293 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.293 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 14.293 * * * * [progress]: [ 123 / 140 ] simplifiying candidate # 14.293 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 14.293 * * [simplify]: iters left: 6 (14 enodes) 14.297 * * [simplify]: iters left: 5 (62 enodes) 14.312 * * [simplify]: iters left: 4 (117 enodes) 14.352 * * [simplify]: iters left: 3 (212 enodes) 14.422 * * [simplify]: iters left: 2 (407 enodes) 14.618 * * [simplify]: Extracting #0: cost 1 inf + 0 14.618 * * [simplify]: Extracting #1: cost 4 inf + 0 14.618 * * [simplify]: Extracting #2: cost 8 inf + 0 14.618 * * [simplify]: Extracting #3: cost 12 inf + 0 14.618 * * [simplify]: Extracting #4: cost 18 inf + 0 14.618 * * [simplify]: Extracting #5: cost 89 inf + 0 14.620 * * [simplify]: Extracting #6: cost 183 inf + 945 14.624 * * [simplify]: Extracting #7: cost 127 inf + 18658 14.634 * * [simplify]: Extracting #8: cost 37 inf + 52314 14.646 * * [simplify]: Extracting #9: cost 2 inf + 68886 14.660 * * [simplify]: Extracting #10: cost 0 inf + 69852 14.678 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.678 * [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))))) 14.679 * * * * [progress]: [ 124 / 140 ] simplifiying candidate # 14.679 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 14.679 * * [simplify]: iters left: 6 (13 enodes) 14.685 * * [simplify]: iters left: 5 (53 enodes) 14.694 * * [simplify]: iters left: 4 (80 enodes) 14.708 * * [simplify]: iters left: 3 (136 enodes) 14.757 * * [simplify]: iters left: 2 (291 enodes) 14.911 * * [simplify]: Extracting #0: cost 1 inf + 0 14.911 * * [simplify]: Extracting #1: cost 4 inf + 0 14.911 * * [simplify]: Extracting #2: cost 8 inf + 0 14.911 * * [simplify]: Extracting #3: cost 12 inf + 0 14.911 * * [simplify]: Extracting #4: cost 61 inf + 0 14.912 * * [simplify]: Extracting #5: cost 160 inf + 0 14.914 * * [simplify]: Extracting #6: cost 194 inf + 2033 14.921 * * [simplify]: Extracting #7: cost 79 inf + 20894 14.937 * * [simplify]: Extracting #8: cost 3 inf + 38239 14.952 * * [simplify]: Extracting #9: cost 0 inf + 38945 14.969 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.969 * [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) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 14.969 * * * * [progress]: [ 125 / 140 ] simplifiying candidate # 14.970 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) 14.970 * * [simplify]: iters left: 6 (14 enodes) 14.977 * * [simplify]: iters left: 5 (62 enodes) 15.002 * * [simplify]: iters left: 4 (117 enodes) 15.053 * * [simplify]: iters left: 3 (215 enodes) 15.113 * * [simplify]: iters left: 2 (409 enodes) 15.266 * * [simplify]: Extracting #0: cost 1 inf + 0 15.266 * * [simplify]: Extracting #1: cost 4 inf + 0 15.266 * * [simplify]: Extracting #2: cost 8 inf + 0 15.266 * * [simplify]: Extracting #3: cost 12 inf + 0 15.266 * * [simplify]: Extracting #4: cost 18 inf + 0 15.266 * * [simplify]: Extracting #5: cost 87 inf + 0 15.267 * * [simplify]: Extracting #6: cost 182 inf + 632 15.269 * * [simplify]: Extracting #7: cost 162 inf + 7856 15.275 * * [simplify]: Extracting #8: cost 75 inf + 37168 15.286 * * [simplify]: Extracting #9: cost 13 inf + 65095 15.298 * * [simplify]: Extracting #10: cost 0 inf + 71685 15.310 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 15.311 * [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))))) 15.311 * * * * [progress]: [ 126 / 140 ] simplifiying candidate # 15.311 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 15.311 * * [simplify]: iters left: 6 (13 enodes) 15.318 * * [simplify]: iters left: 5 (53 enodes) 15.339 * * [simplify]: iters left: 4 (80 enodes) 15.365 * * [simplify]: iters left: 3 (136 enodes) 15.403 * * [simplify]: iters left: 2 (291 enodes) 15.558 * * [simplify]: Extracting #0: cost 1 inf + 0 15.558 * * [simplify]: Extracting #1: cost 4 inf + 0 15.558 * * [simplify]: Extracting #2: cost 8 inf + 0 15.558 * * [simplify]: Extracting #3: cost 12 inf + 0 15.558 * * [simplify]: Extracting #4: cost 61 inf + 0 15.559 * * [simplify]: Extracting #5: cost 160 inf + 0 15.560 * * [simplify]: Extracting #6: cost 201 inf + 1018 15.567 * * [simplify]: Extracting #7: cost 86 inf + 19610 15.582 * * [simplify]: Extracting #8: cost 8 inf + 36437 15.599 * * [simplify]: Extracting #9: cost 0 inf + 38305 15.614 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 15.615 * [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))))) 15.615 * * * * [progress]: [ 127 / 140 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 15.615 * [simplify]: Simplifying (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 15.615 * * [simplify]: iters left: 6 (9 enodes) 15.619 * * [simplify]: iters left: 5 (23 enodes) 15.625 * * [simplify]: iters left: 4 (24 enodes) 15.631 * * [simplify]: Extracting #0: cost 1 inf + 0 15.631 * * [simplify]: Extracting #1: cost 2 inf + 0 15.631 * * [simplify]: Extracting #2: cost 4 inf + 0 15.631 * * [simplify]: Extracting #3: cost 8 inf + 0 15.631 * * [simplify]: Extracting #4: cost 12 inf + 0 15.632 * * [simplify]: Extracting #5: cost 10 inf + 2 15.632 * * [simplify]: Extracting #6: cost 2 inf + 734 15.632 * * [simplify]: Extracting #7: cost 1 inf + 936 15.633 * * [simplify]: Extracting #8: cost 0 inf + 1138 15.633 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 15.633 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) 15.633 * * * * [progress]: [ 128 / 140 ] simplifiying candidate # 15.633 * * * * [progress]: [ 129 / 140 ] simplifiying candidate # 15.634 * [simplify]: Simplifying im 15.634 * * [simplify]: iters left: 0 (1 enodes) 15.634 * * [simplify]: Extracting #0: cost 1 inf + 0 15.634 * * [simplify]: Extracting #1: cost 0 inf + 1 15.634 * [simplify]: Simplified to im 15.634 * [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))))) 15.634 * * * * [progress]: [ 130 / 140 ] simplifiying candidate # 15.635 * [simplify]: Simplifying re 15.635 * * [simplify]: iters left: 0 (1 enodes) 15.635 * * [simplify]: Extracting #0: cost 1 inf + 0 15.635 * * [simplify]: Extracting #1: cost 0 inf + 1 15.635 * [simplify]: Simplified to re 15.635 * [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))))) 15.635 * * * * [progress]: [ 131 / 140 ] simplifiying candidate # 15.636 * [simplify]: Simplifying (* -1 re) 15.636 * * [simplify]: iters left: 2 (3 enodes) 15.637 * * [simplify]: iters left: 1 (11 enodes) 15.638 * * [simplify]: Extracting #0: cost 1 inf + 0 15.639 * * [simplify]: Extracting #1: cost 4 inf + 0 15.639 * * [simplify]: Extracting #2: cost 0 inf + 84 15.639 * [simplify]: Simplified to (- re) 15.639 * [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))))) 15.639 * * * * [progress]: [ 132 / 140 ] simplifiying candidate # 15.639 * [simplify]: Simplifying im 15.639 * * [simplify]: iters left: 0 (1 enodes) 15.639 * * [simplify]: Extracting #0: cost 1 inf + 0 15.639 * * [simplify]: Extracting #1: cost 0 inf + 1 15.639 * [simplify]: Simplified to im 15.639 * [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))))) 15.639 * * * * [progress]: [ 133 / 140 ] simplifiying candidate # 15.639 * [simplify]: Simplifying re 15.640 * * [simplify]: iters left: 0 (1 enodes) 15.640 * * [simplify]: Extracting #0: cost 1 inf + 0 15.640 * * [simplify]: Extracting #1: cost 0 inf + 1 15.640 * [simplify]: Simplified to re 15.640 * [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))))) 15.640 * * * * [progress]: [ 134 / 140 ] simplifiying candidate # 15.640 * [simplify]: Simplifying (* -1 re) 15.640 * * [simplify]: iters left: 2 (3 enodes) 15.641 * * [simplify]: iters left: 1 (11 enodes) 15.643 * * [simplify]: Extracting #0: cost 1 inf + 0 15.643 * * [simplify]: Extracting #1: cost 4 inf + 0 15.643 * * [simplify]: Extracting #2: cost 0 inf + 84 15.643 * [simplify]: Simplified to (- re) 15.643 * [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))))) 15.643 * * * * [progress]: [ 135 / 140 ] simplifiying candidate # 15.643 * [simplify]: Simplifying (+ re im) 15.643 * * [simplify]: iters left: 2 (3 enodes) 15.644 * * [simplify]: iters left: 1 (10 enodes) 15.645 * * [simplify]: Extracting #0: cost 1 inf + 0 15.645 * * [simplify]: Extracting #1: cost 4 inf + 0 15.645 * * [simplify]: Extracting #2: cost 2 inf + 2 15.645 * * [simplify]: Extracting #3: cost 0 inf + 86 15.645 * [simplify]: Simplified to (+ im re) 15.645 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 15.645 * * * * [progress]: [ 136 / 140 ] simplifiying candidate # 15.645 * [simplify]: Simplifying (* 2 re) 15.645 * * [simplify]: iters left: 2 (3 enodes) 15.646 * * [simplify]: iters left: 1 (10 enodes) 15.648 * * [simplify]: Extracting #0: cost 1 inf + 0 15.648 * * [simplify]: Extracting #1: cost 4 inf + 0 15.648 * * [simplify]: Extracting #2: cost 2 inf + 2 15.648 * * [simplify]: Extracting #3: cost 0 inf + 86 15.648 * [simplify]: Simplified to (* 2 re) 15.648 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 15.648 * * * * [progress]: [ 137 / 140 ] simplifiying candidate # 15.648 * [simplify]: Simplifying 0 15.648 * * [simplify]: iters left: 0 (1 enodes) 15.649 * * [simplify]: Extracting #0: cost 1 inf + 0 15.649 * * [simplify]: Extracting #1: cost 0 inf + 1 15.649 * [simplify]: Simplified to 0 15.649 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 15.649 * * * * [progress]: [ 138 / 140 ] simplifiying candidate # 15.649 * [simplify]: Simplifying im 15.649 * * [simplify]: iters left: 0 (1 enodes) 15.650 * * [simplify]: Extracting #0: cost 1 inf + 0 15.650 * * [simplify]: Extracting #1: cost 0 inf + 1 15.650 * [simplify]: Simplified to im 15.650 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 15.650 * * * * [progress]: [ 139 / 140 ] simplifiying candidate # 15.650 * [simplify]: Simplifying re 15.650 * * [simplify]: iters left: 0 (1 enodes) 15.650 * * [simplify]: Extracting #0: cost 1 inf + 0 15.650 * * [simplify]: Extracting #1: cost 0 inf + 1 15.650 * [simplify]: Simplified to re 15.650 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 15.650 * * * * [progress]: [ 140 / 140 ] simplifiying candidate # 15.650 * [simplify]: Simplifying (* -1 re) 15.650 * * [simplify]: iters left: 2 (3 enodes) 15.651 * * [simplify]: iters left: 1 (11 enodes) 15.653 * * [simplify]: Extracting #0: cost 1 inf + 0 15.653 * * [simplify]: Extracting #1: cost 4 inf + 0 15.653 * * [simplify]: Extracting #2: cost 0 inf + 84 15.653 * [simplify]: Simplified to (- re) 15.653 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 15.653 * * * [progress]: adding candidates to table 17.425 * * [progress]: iteration 3 / 4 17.425 * * * [progress]: picking best candidate 17.474 * * * * [pick]: Picked # 17.474 * * * [progress]: localizing error 17.528 * * * [progress]: generating rewritten candidates 17.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 17.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 17.544 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 17.565 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 17.618 * * * [progress]: generating series expansions 17.618 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 17.619 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 17.619 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 17.619 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 17.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 17.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 17.619 * [taylor]: Taking taylor expansion of 1/3 in im 17.619 * [backup-simplify]: Simplify 1/3 into 1/3 17.619 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 17.619 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 17.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.619 * [taylor]: Taking taylor expansion of im in im 17.619 * [backup-simplify]: Simplify 0 into 0 17.619 * [backup-simplify]: Simplify 1 into 1 17.619 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.619 * [taylor]: Taking taylor expansion of re in im 17.619 * [backup-simplify]: Simplify re into re 17.619 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.619 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 17.619 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 17.619 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 17.619 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 17.619 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.620 * [taylor]: Taking taylor expansion of 1/3 in re 17.620 * [backup-simplify]: Simplify 1/3 into 1/3 17.620 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.620 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.620 * [taylor]: Taking taylor expansion of im in re 17.620 * [backup-simplify]: Simplify im into im 17.620 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.620 * [taylor]: Taking taylor expansion of re in re 17.620 * [backup-simplify]: Simplify 0 into 0 17.620 * [backup-simplify]: Simplify 1 into 1 17.620 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.620 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.620 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.620 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.620 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.620 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.620 * [taylor]: Taking taylor expansion of 1/3 in re 17.620 * [backup-simplify]: Simplify 1/3 into 1/3 17.620 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.620 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.620 * [taylor]: Taking taylor expansion of im in re 17.621 * [backup-simplify]: Simplify im into im 17.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.621 * [taylor]: Taking taylor expansion of re in re 17.621 * [backup-simplify]: Simplify 0 into 0 17.621 * [backup-simplify]: Simplify 1 into 1 17.621 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.621 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.621 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.621 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.621 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 17.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 17.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 17.621 * [taylor]: Taking taylor expansion of 1/3 in im 17.621 * [backup-simplify]: Simplify 1/3 into 1/3 17.621 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 17.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.621 * [taylor]: Taking taylor expansion of im in im 17.621 * [backup-simplify]: Simplify 0 into 0 17.621 * [backup-simplify]: Simplify 1 into 1 17.622 * [backup-simplify]: Simplify (* 1 1) into 1 17.623 * [backup-simplify]: Simplify (log 1) into 0 17.623 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.623 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 17.623 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 17.623 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 17.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.624 * [backup-simplify]: Simplify (+ 0 0) into 0 17.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 17.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 17.627 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.627 * [taylor]: Taking taylor expansion of 0 in im 17.627 * [backup-simplify]: Simplify 0 into 0 17.627 * [backup-simplify]: Simplify 0 into 0 17.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.629 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 17.631 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 17.631 * [backup-simplify]: Simplify 0 into 0 17.631 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 17.632 * [backup-simplify]: Simplify (* 1 1) into 1 17.632 * [backup-simplify]: Simplify (+ 0 1) into 1 17.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 17.634 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 17.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.635 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 17.635 * [taylor]: Taking taylor expansion of 1/3 in im 17.635 * [backup-simplify]: Simplify 1/3 into 1/3 17.635 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 17.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 17.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 17.635 * [taylor]: Taking taylor expansion of 1/3 in im 17.635 * [backup-simplify]: Simplify 1/3 into 1/3 17.636 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 17.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 17.636 * [taylor]: Taking taylor expansion of (pow im 4) in im 17.636 * [taylor]: Taking taylor expansion of im in im 17.636 * [backup-simplify]: Simplify 0 into 0 17.636 * [backup-simplify]: Simplify 1 into 1 17.636 * [backup-simplify]: Simplify (* 1 1) into 1 17.636 * [backup-simplify]: Simplify (* 1 1) into 1 17.637 * [backup-simplify]: Simplify (/ 1 1) into 1 17.637 * [backup-simplify]: Simplify (log 1) into 0 17.638 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 17.638 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 17.638 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 17.638 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.638 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.638 * [backup-simplify]: Simplify 0 into 0 17.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.643 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.644 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 17.646 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.646 * [backup-simplify]: Simplify 0 into 0 17.646 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 17.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.648 * [backup-simplify]: Simplify (+ 0 0) into 0 17.650 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 17.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 17.654 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.654 * [taylor]: Taking taylor expansion of 0 in im 17.654 * [backup-simplify]: Simplify 0 into 0 17.654 * [backup-simplify]: Simplify 0 into 0 17.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.658 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 17.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 17.659 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 17.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 17.660 * [backup-simplify]: Simplify 0 into 0 17.660 * [backup-simplify]: Simplify 0 into 0 17.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.670 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.671 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 17.674 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.674 * [backup-simplify]: Simplify 0 into 0 17.675 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.675 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 17.675 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 17.675 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 17.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 17.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 17.675 * [taylor]: Taking taylor expansion of 1/3 in im 17.675 * [backup-simplify]: Simplify 1/3 into 1/3 17.675 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.675 * [taylor]: Taking taylor expansion of re in im 17.676 * [backup-simplify]: Simplify re into re 17.676 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.676 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.676 * [taylor]: Taking taylor expansion of im in im 17.676 * [backup-simplify]: Simplify 0 into 0 17.676 * [backup-simplify]: Simplify 1 into 1 17.676 * [backup-simplify]: Simplify (* 1 1) into 1 17.677 * [backup-simplify]: Simplify (/ 1 1) into 1 17.677 * [backup-simplify]: Simplify (+ 0 1) into 1 17.678 * [backup-simplify]: Simplify (log 1) into 0 17.678 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 17.678 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 17.678 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 17.678 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.678 * [taylor]: Taking taylor expansion of 1/3 in re 17.678 * [backup-simplify]: Simplify 1/3 into 1/3 17.679 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.679 * [taylor]: Taking taylor expansion of re in re 17.679 * [backup-simplify]: Simplify 0 into 0 17.679 * [backup-simplify]: Simplify 1 into 1 17.679 * [backup-simplify]: Simplify (* 1 1) into 1 17.679 * [backup-simplify]: Simplify (/ 1 1) into 1 17.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.680 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.680 * [taylor]: Taking taylor expansion of im in re 17.680 * [backup-simplify]: Simplify im into im 17.680 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.680 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.680 * [backup-simplify]: Simplify (+ 1 0) into 1 17.681 * [backup-simplify]: Simplify (log 1) into 0 17.681 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.681 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.681 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.681 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.681 * [taylor]: Taking taylor expansion of 1/3 in re 17.681 * [backup-simplify]: Simplify 1/3 into 1/3 17.681 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.682 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.682 * [taylor]: Taking taylor expansion of re in re 17.682 * [backup-simplify]: Simplify 0 into 0 17.682 * [backup-simplify]: Simplify 1 into 1 17.682 * [backup-simplify]: Simplify (* 1 1) into 1 17.682 * [backup-simplify]: Simplify (/ 1 1) into 1 17.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.682 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.682 * [taylor]: Taking taylor expansion of im in re 17.682 * [backup-simplify]: Simplify im into im 17.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.683 * [backup-simplify]: Simplify (+ 1 0) into 1 17.683 * [backup-simplify]: Simplify (log 1) into 0 17.684 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.684 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.684 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.684 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 17.684 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 17.685 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 17.685 * [taylor]: Taking taylor expansion of -2/3 in im 17.685 * [backup-simplify]: Simplify -2/3 into -2/3 17.685 * [taylor]: Taking taylor expansion of (log re) in im 17.685 * [taylor]: Taking taylor expansion of re in im 17.685 * [backup-simplify]: Simplify re into re 17.685 * [backup-simplify]: Simplify (log re) into (log re) 17.685 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 17.685 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.685 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 17.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.687 * [backup-simplify]: Simplify (+ 0 0) into 0 17.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.689 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 17.690 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.690 * [taylor]: Taking taylor expansion of 0 in im 17.690 * [backup-simplify]: Simplify 0 into 0 17.690 * [backup-simplify]: Simplify 0 into 0 17.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 17.692 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 17.693 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.693 * [backup-simplify]: Simplify 0 into 0 17.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.695 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 17.697 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.698 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 17.699 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 17.699 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 17.699 * [taylor]: Taking taylor expansion of 1/3 in im 17.699 * [backup-simplify]: Simplify 1/3 into 1/3 17.699 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 17.699 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 17.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 17.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 17.699 * [taylor]: Taking taylor expansion of 1/3 in im 17.699 * [backup-simplify]: Simplify 1/3 into 1/3 17.699 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 17.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.699 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.699 * [taylor]: Taking taylor expansion of re in im 17.699 * [backup-simplify]: Simplify re into re 17.699 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.700 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.700 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 17.700 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 17.700 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 17.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.700 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.700 * [taylor]: Taking taylor expansion of im in im 17.700 * [backup-simplify]: Simplify 0 into 0 17.700 * [backup-simplify]: Simplify 1 into 1 17.700 * [backup-simplify]: Simplify (* 1 1) into 1 17.701 * [backup-simplify]: Simplify (/ 1 1) into 1 17.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.704 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 17.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 17.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 17.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 17.707 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.707 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 17.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 17.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 17.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 17.712 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.712 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 17.713 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 17.713 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 17.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 17.714 * [backup-simplify]: Simplify 0 into 0 17.714 * [backup-simplify]: Simplify 0 into 0 17.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 17.717 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 17.718 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.718 * [backup-simplify]: Simplify 0 into 0 17.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.722 * [backup-simplify]: Simplify (+ 0 0) into 0 17.725 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.726 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.727 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 17.729 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.729 * [taylor]: Taking taylor expansion of 0 in im 17.729 * [backup-simplify]: Simplify 0 into 0 17.729 * [backup-simplify]: Simplify 0 into 0 17.730 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 17.730 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 17.730 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 17.730 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 17.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 17.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 17.730 * [taylor]: Taking taylor expansion of 1/3 in im 17.730 * [backup-simplify]: Simplify 1/3 into 1/3 17.730 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.730 * [taylor]: Taking taylor expansion of re in im 17.730 * [backup-simplify]: Simplify re into re 17.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.731 * [taylor]: Taking taylor expansion of im in im 17.731 * [backup-simplify]: Simplify 0 into 0 17.731 * [backup-simplify]: Simplify 1 into 1 17.731 * [backup-simplify]: Simplify (* 1 1) into 1 17.731 * [backup-simplify]: Simplify (/ 1 1) into 1 17.732 * [backup-simplify]: Simplify (+ 0 1) into 1 17.732 * [backup-simplify]: Simplify (log 1) into 0 17.733 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 17.733 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 17.733 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 17.733 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.733 * [taylor]: Taking taylor expansion of 1/3 in re 17.733 * [backup-simplify]: Simplify 1/3 into 1/3 17.733 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.733 * [taylor]: Taking taylor expansion of re in re 17.733 * [backup-simplify]: Simplify 0 into 0 17.733 * [backup-simplify]: Simplify 1 into 1 17.734 * [backup-simplify]: Simplify (* 1 1) into 1 17.734 * [backup-simplify]: Simplify (/ 1 1) into 1 17.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.734 * [taylor]: Taking taylor expansion of im in re 17.734 * [backup-simplify]: Simplify im into im 17.734 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.735 * [backup-simplify]: Simplify (+ 1 0) into 1 17.735 * [backup-simplify]: Simplify (log 1) into 0 17.736 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.736 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.736 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.736 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.736 * [taylor]: Taking taylor expansion of 1/3 in re 17.736 * [backup-simplify]: Simplify 1/3 into 1/3 17.736 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.736 * [taylor]: Taking taylor expansion of re in re 17.736 * [backup-simplify]: Simplify 0 into 0 17.736 * [backup-simplify]: Simplify 1 into 1 17.736 * [backup-simplify]: Simplify (* 1 1) into 1 17.737 * [backup-simplify]: Simplify (/ 1 1) into 1 17.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.737 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.737 * [taylor]: Taking taylor expansion of im in re 17.737 * [backup-simplify]: Simplify im into im 17.737 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.737 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.737 * [backup-simplify]: Simplify (+ 1 0) into 1 17.737 * [backup-simplify]: Simplify (log 1) into 0 17.738 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.738 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.738 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.738 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 17.738 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 17.738 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 17.738 * [taylor]: Taking taylor expansion of -2/3 in im 17.738 * [backup-simplify]: Simplify -2/3 into -2/3 17.738 * [taylor]: Taking taylor expansion of (log re) in im 17.738 * [taylor]: Taking taylor expansion of re in im 17.738 * [backup-simplify]: Simplify re into re 17.738 * [backup-simplify]: Simplify (log re) into (log re) 17.738 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 17.738 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.738 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 17.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.739 * [backup-simplify]: Simplify (+ 0 0) into 0 17.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.741 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 17.741 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.741 * [taylor]: Taking taylor expansion of 0 in im 17.741 * [backup-simplify]: Simplify 0 into 0 17.741 * [backup-simplify]: Simplify 0 into 0 17.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 17.742 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 17.743 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.743 * [backup-simplify]: Simplify 0 into 0 17.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.744 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 17.745 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.746 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 17.746 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 17.746 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 17.746 * [taylor]: Taking taylor expansion of 1/3 in im 17.746 * [backup-simplify]: Simplify 1/3 into 1/3 17.746 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 17.746 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 17.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 17.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 17.746 * [taylor]: Taking taylor expansion of 1/3 in im 17.746 * [backup-simplify]: Simplify 1/3 into 1/3 17.746 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 17.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.746 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.746 * [taylor]: Taking taylor expansion of re in im 17.746 * [backup-simplify]: Simplify re into re 17.746 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.747 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.747 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 17.747 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 17.747 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 17.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.747 * [taylor]: Taking taylor expansion of im in im 17.747 * [backup-simplify]: Simplify 0 into 0 17.747 * [backup-simplify]: Simplify 1 into 1 17.747 * [backup-simplify]: Simplify (* 1 1) into 1 17.747 * [backup-simplify]: Simplify (/ 1 1) into 1 17.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.749 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 17.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 17.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 17.750 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 17.751 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.751 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 17.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 17.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 17.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 17.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.754 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 17.754 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 17.755 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 17.755 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 17.755 * [backup-simplify]: Simplify 0 into 0 17.755 * [backup-simplify]: Simplify 0 into 0 17.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 17.757 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 17.757 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.757 * [backup-simplify]: Simplify 0 into 0 17.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.759 * [backup-simplify]: Simplify (+ 0 0) into 0 17.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.761 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 17.763 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.763 * [taylor]: Taking taylor expansion of 0 in im 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 17.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 17.764 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 17.764 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 17.764 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 17.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 17.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 17.764 * [taylor]: Taking taylor expansion of 1/3 in im 17.764 * [backup-simplify]: Simplify 1/3 into 1/3 17.764 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 17.764 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 17.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.764 * [taylor]: Taking taylor expansion of im in im 17.764 * [backup-simplify]: Simplify 0 into 0 17.764 * [backup-simplify]: Simplify 1 into 1 17.764 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.764 * [taylor]: Taking taylor expansion of re in im 17.764 * [backup-simplify]: Simplify re into re 17.764 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.764 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 17.764 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 17.764 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 17.764 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 17.764 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.764 * [taylor]: Taking taylor expansion of 1/3 in re 17.764 * [backup-simplify]: Simplify 1/3 into 1/3 17.764 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.764 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.765 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.765 * [taylor]: Taking taylor expansion of im in re 17.765 * [backup-simplify]: Simplify im into im 17.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.765 * [taylor]: Taking taylor expansion of re in re 17.765 * [backup-simplify]: Simplify 0 into 0 17.765 * [backup-simplify]: Simplify 1 into 1 17.765 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.765 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.765 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.765 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.765 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.765 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.765 * [taylor]: Taking taylor expansion of 1/3 in re 17.765 * [backup-simplify]: Simplify 1/3 into 1/3 17.765 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.765 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.765 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.765 * [taylor]: Taking taylor expansion of im in re 17.765 * [backup-simplify]: Simplify im into im 17.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.765 * [taylor]: Taking taylor expansion of re in re 17.765 * [backup-simplify]: Simplify 0 into 0 17.765 * [backup-simplify]: Simplify 1 into 1 17.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.766 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.766 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.766 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.766 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.766 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 17.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 17.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 17.766 * [taylor]: Taking taylor expansion of 1/3 in im 17.766 * [backup-simplify]: Simplify 1/3 into 1/3 17.766 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 17.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.766 * [taylor]: Taking taylor expansion of im in im 17.766 * [backup-simplify]: Simplify 0 into 0 17.766 * [backup-simplify]: Simplify 1 into 1 17.767 * [backup-simplify]: Simplify (* 1 1) into 1 17.767 * [backup-simplify]: Simplify (log 1) into 0 17.767 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.768 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 17.768 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 17.768 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 17.768 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.768 * [backup-simplify]: Simplify (+ 0 0) into 0 17.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 17.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 17.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.771 * [taylor]: Taking taylor expansion of 0 in im 17.771 * [backup-simplify]: Simplify 0 into 0 17.771 * [backup-simplify]: Simplify 0 into 0 17.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.773 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 17.774 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 17.775 * [backup-simplify]: Simplify 0 into 0 17.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 17.775 * [backup-simplify]: Simplify (* 1 1) into 1 17.776 * [backup-simplify]: Simplify (+ 0 1) into 1 17.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 17.778 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 17.779 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.779 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 17.779 * [taylor]: Taking taylor expansion of 1/3 in im 17.779 * [backup-simplify]: Simplify 1/3 into 1/3 17.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 17.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 17.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 17.779 * [taylor]: Taking taylor expansion of 1/3 in im 17.779 * [backup-simplify]: Simplify 1/3 into 1/3 17.779 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 17.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 17.779 * [taylor]: Taking taylor expansion of (pow im 4) in im 17.779 * [taylor]: Taking taylor expansion of im in im 17.779 * [backup-simplify]: Simplify 0 into 0 17.779 * [backup-simplify]: Simplify 1 into 1 17.780 * [backup-simplify]: Simplify (* 1 1) into 1 17.780 * [backup-simplify]: Simplify (* 1 1) into 1 17.781 * [backup-simplify]: Simplify (/ 1 1) into 1 17.781 * [backup-simplify]: Simplify (log 1) into 0 17.781 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 17.781 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 17.782 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 17.782 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.782 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.782 * [backup-simplify]: Simplify 0 into 0 17.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.786 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.786 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 17.789 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.789 * [backup-simplify]: Simplify 0 into 0 17.790 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 17.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.791 * [backup-simplify]: Simplify (+ 0 0) into 0 17.793 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 17.794 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 17.796 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.796 * [taylor]: Taking taylor expansion of 0 in im 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [backup-simplify]: Simplify 0 into 0 17.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.808 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 17.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 17.810 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 17.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 17.811 * [backup-simplify]: Simplify 0 into 0 17.811 * [backup-simplify]: Simplify 0 into 0 17.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.817 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.818 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 17.821 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.821 * [backup-simplify]: Simplify 0 into 0 17.821 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.821 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 17.821 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 17.821 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 17.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 17.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 17.821 * [taylor]: Taking taylor expansion of 1/3 in im 17.821 * [backup-simplify]: Simplify 1/3 into 1/3 17.821 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.821 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.821 * [taylor]: Taking taylor expansion of re in im 17.821 * [backup-simplify]: Simplify re into re 17.821 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.821 * [taylor]: Taking taylor expansion of im in im 17.821 * [backup-simplify]: Simplify 0 into 0 17.821 * [backup-simplify]: Simplify 1 into 1 17.822 * [backup-simplify]: Simplify (* 1 1) into 1 17.822 * [backup-simplify]: Simplify (/ 1 1) into 1 17.822 * [backup-simplify]: Simplify (+ 0 1) into 1 17.823 * [backup-simplify]: Simplify (log 1) into 0 17.823 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 17.823 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 17.823 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 17.823 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.823 * [taylor]: Taking taylor expansion of 1/3 in re 17.823 * [backup-simplify]: Simplify 1/3 into 1/3 17.823 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.823 * [taylor]: Taking taylor expansion of re in re 17.823 * [backup-simplify]: Simplify 0 into 0 17.823 * [backup-simplify]: Simplify 1 into 1 17.823 * [backup-simplify]: Simplify (* 1 1) into 1 17.824 * [backup-simplify]: Simplify (/ 1 1) into 1 17.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.824 * [taylor]: Taking taylor expansion of im in re 17.824 * [backup-simplify]: Simplify im into im 17.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.824 * [backup-simplify]: Simplify (+ 1 0) into 1 17.824 * [backup-simplify]: Simplify (log 1) into 0 17.825 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.825 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.825 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.825 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.825 * [taylor]: Taking taylor expansion of 1/3 in re 17.825 * [backup-simplify]: Simplify 1/3 into 1/3 17.825 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.825 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.825 * [taylor]: Taking taylor expansion of re in re 17.825 * [backup-simplify]: Simplify 0 into 0 17.825 * [backup-simplify]: Simplify 1 into 1 17.825 * [backup-simplify]: Simplify (* 1 1) into 1 17.825 * [backup-simplify]: Simplify (/ 1 1) into 1 17.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.826 * [taylor]: Taking taylor expansion of im in re 17.826 * [backup-simplify]: Simplify im into im 17.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.826 * [backup-simplify]: Simplify (+ 1 0) into 1 17.826 * [backup-simplify]: Simplify (log 1) into 0 17.826 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.827 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.827 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.827 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 17.827 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 17.827 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 17.827 * [taylor]: Taking taylor expansion of -2/3 in im 17.827 * [backup-simplify]: Simplify -2/3 into -2/3 17.827 * [taylor]: Taking taylor expansion of (log re) in im 17.827 * [taylor]: Taking taylor expansion of re in im 17.827 * [backup-simplify]: Simplify re into re 17.827 * [backup-simplify]: Simplify (log re) into (log re) 17.827 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 17.827 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.827 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 17.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.828 * [backup-simplify]: Simplify (+ 0 0) into 0 17.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.829 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 17.830 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.830 * [taylor]: Taking taylor expansion of 0 in im 17.830 * [backup-simplify]: Simplify 0 into 0 17.830 * [backup-simplify]: Simplify 0 into 0 17.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 17.831 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 17.831 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.831 * [backup-simplify]: Simplify 0 into 0 17.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.833 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 17.834 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.834 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 17.835 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 17.835 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 17.835 * [taylor]: Taking taylor expansion of 1/3 in im 17.835 * [backup-simplify]: Simplify 1/3 into 1/3 17.835 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 17.835 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 17.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 17.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 17.835 * [taylor]: Taking taylor expansion of 1/3 in im 17.835 * [backup-simplify]: Simplify 1/3 into 1/3 17.835 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 17.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.835 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.835 * [taylor]: Taking taylor expansion of re in im 17.835 * [backup-simplify]: Simplify re into re 17.835 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.835 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.835 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 17.835 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 17.835 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 17.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.835 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.835 * [taylor]: Taking taylor expansion of im in im 17.835 * [backup-simplify]: Simplify 0 into 0 17.835 * [backup-simplify]: Simplify 1 into 1 17.836 * [backup-simplify]: Simplify (* 1 1) into 1 17.836 * [backup-simplify]: Simplify (/ 1 1) into 1 17.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.838 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 17.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 17.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 17.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 17.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.840 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 17.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 17.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 17.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 17.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.845 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 17.846 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 17.846 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 17.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 17.847 * [backup-simplify]: Simplify 0 into 0 17.847 * [backup-simplify]: Simplify 0 into 0 17.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 17.849 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 17.851 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.851 * [backup-simplify]: Simplify 0 into 0 17.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.854 * [backup-simplify]: Simplify (+ 0 0) into 0 17.857 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.858 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.859 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 17.861 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.861 * [taylor]: Taking taylor expansion of 0 in im 17.861 * [backup-simplify]: Simplify 0 into 0 17.861 * [backup-simplify]: Simplify 0 into 0 17.861 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 17.861 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 17.861 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 17.861 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 17.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 17.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 17.862 * [taylor]: Taking taylor expansion of 1/3 in im 17.862 * [backup-simplify]: Simplify 1/3 into 1/3 17.862 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.862 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.862 * [taylor]: Taking taylor expansion of re in im 17.862 * [backup-simplify]: Simplify re into re 17.862 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.862 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.862 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.862 * [taylor]: Taking taylor expansion of im in im 17.862 * [backup-simplify]: Simplify 0 into 0 17.862 * [backup-simplify]: Simplify 1 into 1 17.862 * [backup-simplify]: Simplify (* 1 1) into 1 17.863 * [backup-simplify]: Simplify (/ 1 1) into 1 17.863 * [backup-simplify]: Simplify (+ 0 1) into 1 17.864 * [backup-simplify]: Simplify (log 1) into 0 17.864 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 17.864 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 17.864 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 17.864 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.864 * [taylor]: Taking taylor expansion of 1/3 in re 17.864 * [backup-simplify]: Simplify 1/3 into 1/3 17.864 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.864 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.864 * [taylor]: Taking taylor expansion of re in re 17.865 * [backup-simplify]: Simplify 0 into 0 17.865 * [backup-simplify]: Simplify 1 into 1 17.865 * [backup-simplify]: Simplify (* 1 1) into 1 17.865 * [backup-simplify]: Simplify (/ 1 1) into 1 17.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.865 * [taylor]: Taking taylor expansion of im in re 17.865 * [backup-simplify]: Simplify im into im 17.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.866 * [backup-simplify]: Simplify (+ 1 0) into 1 17.866 * [backup-simplify]: Simplify (log 1) into 0 17.867 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.867 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.867 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.867 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 17.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 17.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 17.867 * [taylor]: Taking taylor expansion of 1/3 in re 17.867 * [backup-simplify]: Simplify 1/3 into 1/3 17.867 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.867 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.867 * [taylor]: Taking taylor expansion of re in re 17.867 * [backup-simplify]: Simplify 0 into 0 17.867 * [backup-simplify]: Simplify 1 into 1 17.868 * [backup-simplify]: Simplify (* 1 1) into 1 17.868 * [backup-simplify]: Simplify (/ 1 1) into 1 17.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.868 * [taylor]: Taking taylor expansion of im in re 17.868 * [backup-simplify]: Simplify im into im 17.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.868 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.869 * [backup-simplify]: Simplify (+ 1 0) into 1 17.869 * [backup-simplify]: Simplify (log 1) into 0 17.870 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.870 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 17.870 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.870 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 17.870 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 17.870 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 17.870 * [taylor]: Taking taylor expansion of -2/3 in im 17.870 * [backup-simplify]: Simplify -2/3 into -2/3 17.870 * [taylor]: Taking taylor expansion of (log re) in im 17.870 * [taylor]: Taking taylor expansion of re in im 17.870 * [backup-simplify]: Simplify re into re 17.870 * [backup-simplify]: Simplify (log re) into (log re) 17.870 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 17.870 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 17.870 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 17.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.872 * [backup-simplify]: Simplify (+ 0 0) into 0 17.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.874 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 17.875 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.875 * [taylor]: Taking taylor expansion of 0 in im 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify 0 into 0 17.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 17.877 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 17.877 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 17.878 * [backup-simplify]: Simplify 0 into 0 17.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 17.882 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.883 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 17.884 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 17.884 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 17.884 * [taylor]: Taking taylor expansion of 1/3 in im 17.884 * [backup-simplify]: Simplify 1/3 into 1/3 17.884 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 17.884 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 17.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 17.884 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 17.884 * [taylor]: Taking taylor expansion of 1/3 in im 17.884 * [backup-simplify]: Simplify 1/3 into 1/3 17.884 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 17.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.884 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.884 * [taylor]: Taking taylor expansion of re in im 17.884 * [backup-simplify]: Simplify re into re 17.884 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.884 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.884 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 17.884 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 17.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 17.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.885 * [taylor]: Taking taylor expansion of im in im 17.885 * [backup-simplify]: Simplify 0 into 0 17.885 * [backup-simplify]: Simplify 1 into 1 17.885 * [backup-simplify]: Simplify (* 1 1) into 1 17.886 * [backup-simplify]: Simplify (/ 1 1) into 1 17.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.889 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 17.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 17.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 17.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 17.891 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.892 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 17.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 17.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 17.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 17.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.897 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 17.898 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 17.898 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 17.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 17.899 * [backup-simplify]: Simplify 0 into 0 17.899 * [backup-simplify]: Simplify 0 into 0 17.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 17.901 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 17.903 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.903 * [backup-simplify]: Simplify 0 into 0 17.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.905 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.905 * [backup-simplify]: Simplify (+ 0 0) into 0 17.909 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.910 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 17.911 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 17.913 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.913 * [taylor]: Taking taylor expansion of 0 in im 17.913 * [backup-simplify]: Simplify 0 into 0 17.913 * [backup-simplify]: Simplify 0 into 0 17.913 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 17.913 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 17.913 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 17.913 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 17.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 17.914 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 17.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.914 * [taylor]: Taking taylor expansion of im in im 17.914 * [backup-simplify]: Simplify 0 into 0 17.914 * [backup-simplify]: Simplify 1 into 1 17.914 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.914 * [taylor]: Taking taylor expansion of re in im 17.914 * [backup-simplify]: Simplify re into re 17.914 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.914 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 17.914 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 17.914 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 17.914 * [backup-simplify]: Simplify (+ 0 0) into 0 17.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 17.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 17.915 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.915 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.915 * [taylor]: Taking taylor expansion of im in re 17.915 * [backup-simplify]: Simplify im into im 17.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.915 * [taylor]: Taking taylor expansion of re in re 17.915 * [backup-simplify]: Simplify 0 into 0 17.915 * [backup-simplify]: Simplify 1 into 1 17.915 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.915 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.915 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 17.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.916 * [backup-simplify]: Simplify (+ 0 0) into 0 17.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 17.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 17.916 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.916 * [taylor]: Taking taylor expansion of im in re 17.916 * [backup-simplify]: Simplify im into im 17.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.916 * [taylor]: Taking taylor expansion of re in re 17.916 * [backup-simplify]: Simplify 0 into 0 17.916 * [backup-simplify]: Simplify 1 into 1 17.916 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.916 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.916 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 17.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.917 * [backup-simplify]: Simplify (+ 0 0) into 0 17.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 17.917 * [taylor]: Taking taylor expansion of im in im 17.917 * [backup-simplify]: Simplify 0 into 0 17.917 * [backup-simplify]: Simplify 1 into 1 17.917 * [backup-simplify]: Simplify 0 into 0 17.917 * [taylor]: Taking taylor expansion of 0 in im 17.917 * [backup-simplify]: Simplify 0 into 0 17.917 * [backup-simplify]: Simplify 0 into 0 17.917 * [backup-simplify]: Simplify 1 into 1 17.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 17.918 * [backup-simplify]: Simplify (* 1 1) into 1 17.918 * [backup-simplify]: Simplify (+ 0 1) into 1 17.919 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 17.919 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 17.919 * [taylor]: Taking taylor expansion of 1/2 in im 17.919 * [backup-simplify]: Simplify 1/2 into 1/2 17.919 * [taylor]: Taking taylor expansion of im in im 17.919 * [backup-simplify]: Simplify 0 into 0 17.919 * [backup-simplify]: Simplify 1 into 1 17.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 17.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.922 * [backup-simplify]: Simplify (+ 0 0) into 0 17.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 17.923 * [taylor]: Taking taylor expansion of 0 in im 17.923 * [backup-simplify]: Simplify 0 into 0 17.923 * [backup-simplify]: Simplify 0 into 0 17.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.924 * [backup-simplify]: Simplify 0 into 0 17.924 * [backup-simplify]: Simplify 0 into 0 17.924 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 17.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 17.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 17.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.924 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.924 * [taylor]: Taking taylor expansion of re in im 17.924 * [backup-simplify]: Simplify re into re 17.925 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.925 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.925 * [taylor]: Taking taylor expansion of im in im 17.925 * [backup-simplify]: Simplify 0 into 0 17.925 * [backup-simplify]: Simplify 1 into 1 17.925 * [backup-simplify]: Simplify (* 1 1) into 1 17.926 * [backup-simplify]: Simplify (/ 1 1) into 1 17.926 * [backup-simplify]: Simplify (+ 0 1) into 1 17.926 * [backup-simplify]: Simplify (sqrt 1) into 1 17.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.928 * [backup-simplify]: Simplify (+ 0 0) into 0 17.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.929 * [taylor]: Taking taylor expansion of re in re 17.929 * [backup-simplify]: Simplify 0 into 0 17.929 * [backup-simplify]: Simplify 1 into 1 17.930 * [backup-simplify]: Simplify (* 1 1) into 1 17.930 * [backup-simplify]: Simplify (/ 1 1) into 1 17.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.930 * [taylor]: Taking taylor expansion of im in re 17.930 * [backup-simplify]: Simplify im into im 17.930 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.931 * [backup-simplify]: Simplify (+ 1 0) into 1 17.931 * [backup-simplify]: Simplify (sqrt 1) into 1 17.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.933 * [backup-simplify]: Simplify (+ 0 0) into 0 17.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.934 * [taylor]: Taking taylor expansion of re in re 17.934 * [backup-simplify]: Simplify 0 into 0 17.934 * [backup-simplify]: Simplify 1 into 1 17.934 * [backup-simplify]: Simplify (* 1 1) into 1 17.934 * [backup-simplify]: Simplify (/ 1 1) into 1 17.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.935 * [taylor]: Taking taylor expansion of im in re 17.935 * [backup-simplify]: Simplify im into im 17.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.935 * [backup-simplify]: Simplify (+ 1 0) into 1 17.936 * [backup-simplify]: Simplify (sqrt 1) into 1 17.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.937 * [backup-simplify]: Simplify (+ 0 0) into 0 17.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.938 * [taylor]: Taking taylor expansion of 1 in im 17.938 * [backup-simplify]: Simplify 1 into 1 17.938 * [taylor]: Taking taylor expansion of 0 in im 17.938 * [backup-simplify]: Simplify 0 into 0 17.938 * [backup-simplify]: Simplify 1 into 1 17.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.940 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.944 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 17.945 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 17.945 * [taylor]: Taking taylor expansion of 1/2 in im 17.945 * [backup-simplify]: Simplify 1/2 into 1/2 17.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.945 * [taylor]: Taking taylor expansion of im in im 17.945 * [backup-simplify]: Simplify 0 into 0 17.945 * [backup-simplify]: Simplify 1 into 1 17.945 * [backup-simplify]: Simplify (* 1 1) into 1 17.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 17.946 * [backup-simplify]: Simplify 0 into 0 17.947 * [backup-simplify]: Simplify 0 into 0 17.947 * [backup-simplify]: Simplify 0 into 0 17.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.948 * [backup-simplify]: Simplify (+ 0 0) into 0 17.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 17.949 * [taylor]: Taking taylor expansion of 0 in im 17.949 * [backup-simplify]: Simplify 0 into 0 17.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.950 * [backup-simplify]: Simplify 0 into 0 17.950 * [backup-simplify]: Simplify 0 into 0 17.950 * [backup-simplify]: Simplify 0 into 0 17.950 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 17.950 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 17.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 17.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.950 * [taylor]: Taking taylor expansion of re in im 17.950 * [backup-simplify]: Simplify re into re 17.950 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.950 * [taylor]: Taking taylor expansion of im in im 17.950 * [backup-simplify]: Simplify 0 into 0 17.950 * [backup-simplify]: Simplify 1 into 1 17.951 * [backup-simplify]: Simplify (* 1 1) into 1 17.951 * [backup-simplify]: Simplify (/ 1 1) into 1 17.951 * [backup-simplify]: Simplify (+ 0 1) into 1 17.951 * [backup-simplify]: Simplify (sqrt 1) into 1 17.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.952 * [backup-simplify]: Simplify (+ 0 0) into 0 17.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.953 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.953 * [taylor]: Taking taylor expansion of re in re 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [backup-simplify]: Simplify 1 into 1 17.953 * [backup-simplify]: Simplify (* 1 1) into 1 17.953 * [backup-simplify]: Simplify (/ 1 1) into 1 17.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.953 * [taylor]: Taking taylor expansion of im in re 17.953 * [backup-simplify]: Simplify im into im 17.954 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.954 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.954 * [backup-simplify]: Simplify (+ 1 0) into 1 17.954 * [backup-simplify]: Simplify (sqrt 1) into 1 17.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.955 * [backup-simplify]: Simplify (+ 0 0) into 0 17.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 17.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 17.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 17.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.956 * [taylor]: Taking taylor expansion of re in re 17.957 * [backup-simplify]: Simplify 0 into 0 17.957 * [backup-simplify]: Simplify 1 into 1 17.957 * [backup-simplify]: Simplify (* 1 1) into 1 17.957 * [backup-simplify]: Simplify (/ 1 1) into 1 17.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 17.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.957 * [taylor]: Taking taylor expansion of im in re 17.957 * [backup-simplify]: Simplify im into im 17.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.957 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 17.958 * [backup-simplify]: Simplify (+ 1 0) into 1 17.958 * [backup-simplify]: Simplify (sqrt 1) into 1 17.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.959 * [backup-simplify]: Simplify (+ 0 0) into 0 17.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 17.960 * [taylor]: Taking taylor expansion of 1 in im 17.960 * [backup-simplify]: Simplify 1 into 1 17.960 * [taylor]: Taking taylor expansion of 0 in im 17.960 * [backup-simplify]: Simplify 0 into 0 17.960 * [backup-simplify]: Simplify 1 into 1 17.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.961 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 17.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 17.962 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 17.962 * [taylor]: Taking taylor expansion of 1/2 in im 17.962 * [backup-simplify]: Simplify 1/2 into 1/2 17.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.962 * [taylor]: Taking taylor expansion of im in im 17.962 * [backup-simplify]: Simplify 0 into 0 17.962 * [backup-simplify]: Simplify 1 into 1 17.962 * [backup-simplify]: Simplify (* 1 1) into 1 17.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 17.963 * [backup-simplify]: Simplify 0 into 0 17.963 * [backup-simplify]: Simplify 0 into 0 17.963 * [backup-simplify]: Simplify 0 into 0 17.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.965 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 17.965 * [backup-simplify]: Simplify (+ 0 0) into 0 17.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 17.965 * [taylor]: Taking taylor expansion of 0 in im 17.965 * [backup-simplify]: Simplify 0 into 0 17.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.967 * [backup-simplify]: Simplify 0 into 0 17.967 * [backup-simplify]: Simplify 0 into 0 17.967 * [backup-simplify]: Simplify 0 into 0 17.967 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 17.967 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 17.967 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re) into (+ re (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.967 * [approximate]: Taking taylor expansion of (+ re (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3))) in (re im) around 0 17.967 * [taylor]: Taking taylor expansion of (+ re (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 17.967 * [taylor]: Taking taylor expansion of re in im 17.967 * [backup-simplify]: Simplify re into re 17.967 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 17.967 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 17.967 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 17.967 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 17.968 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.968 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 17.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 17.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 17.968 * [taylor]: Taking taylor expansion of 1/3 in im 17.968 * [backup-simplify]: Simplify 1/3 into 1/3 17.968 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 17.968 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 17.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.968 * [taylor]: Taking taylor expansion of im in im 17.968 * [backup-simplify]: Simplify 0 into 0 17.968 * [backup-simplify]: Simplify 1 into 1 17.968 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.968 * [taylor]: Taking taylor expansion of re in im 17.968 * [backup-simplify]: Simplify re into re 17.968 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.968 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 17.968 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 17.968 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 17.968 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 17.969 * [taylor]: Taking taylor expansion of (+ re (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 17.969 * [taylor]: Taking taylor expansion of re in re 17.969 * [backup-simplify]: Simplify 0 into 0 17.969 * [backup-simplify]: Simplify 1 into 1 17.969 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 17.969 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 17.969 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 17.969 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 17.969 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.969 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.969 * [taylor]: Taking taylor expansion of 1/3 in re 17.969 * [backup-simplify]: Simplify 1/3 into 1/3 17.969 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.970 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.970 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.970 * [taylor]: Taking taylor expansion of im in re 17.970 * [backup-simplify]: Simplify im into im 17.970 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.970 * [taylor]: Taking taylor expansion of re in re 17.970 * [backup-simplify]: Simplify 0 into 0 17.970 * [backup-simplify]: Simplify 1 into 1 17.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.970 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.970 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.970 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.970 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.970 * [taylor]: Taking taylor expansion of (+ re (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 17.970 * [taylor]: Taking taylor expansion of re in re 17.970 * [backup-simplify]: Simplify 0 into 0 17.970 * [backup-simplify]: Simplify 1 into 1 17.970 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 17.970 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 17.970 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 17.970 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 17.971 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.971 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 17.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 17.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 17.971 * [taylor]: Taking taylor expansion of 1/3 in re 17.971 * [backup-simplify]: Simplify 1/3 into 1/3 17.971 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 17.971 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 17.971 * [taylor]: Taking taylor expansion of (pow im 2) in re 17.971 * [taylor]: Taking taylor expansion of im in re 17.971 * [backup-simplify]: Simplify im into im 17.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 17.971 * [taylor]: Taking taylor expansion of re in re 17.971 * [backup-simplify]: Simplify 0 into 0 17.971 * [backup-simplify]: Simplify 1 into 1 17.971 * [backup-simplify]: Simplify (* im im) into (pow im 2) 17.971 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 17.971 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 17.972 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 17.972 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 17.972 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 17.972 * [backup-simplify]: Simplify (+ 0 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3))) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 17.972 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) in im 17.972 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 17.972 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 17.973 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 17.973 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.973 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 17.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 17.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 17.973 * [taylor]: Taking taylor expansion of 1/3 in im 17.973 * [backup-simplify]: Simplify 1/3 into 1/3 17.973 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 17.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.973 * [taylor]: Taking taylor expansion of im in im 17.973 * [backup-simplify]: Simplify 0 into 0 17.973 * [backup-simplify]: Simplify 1 into 1 17.974 * [backup-simplify]: Simplify (* 1 1) into 1 17.974 * [backup-simplify]: Simplify (log 1) into 0 17.975 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.975 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 17.975 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 17.975 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im 2/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 17.976 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 17.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 17.976 * [backup-simplify]: Simplify (+ 0 0) into 0 17.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 17.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 17.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.979 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow (pow im 2) 1/3))) into 0 17.979 * [backup-simplify]: Simplify (+ 1 0) into 1 17.980 * [taylor]: Taking taylor expansion of 1 in im 17.980 * [backup-simplify]: Simplify 1 into 1 17.980 * [backup-simplify]: Simplify 1 into 1 17.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.982 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 17.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 17.984 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 17.984 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow im 2/3))) into 0 17.984 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 17.985 * [backup-simplify]: Simplify (* 1 1) into 1 17.985 * [backup-simplify]: Simplify (+ 0 1) into 1 17.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 17.988 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 17.988 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 17.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.990 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 17.991 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 17.991 * [taylor]: Taking taylor expansion of (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) in im 17.991 * [taylor]: Taking taylor expansion of 1/3 in im 17.991 * [backup-simplify]: Simplify 1/3 into 1/3 17.991 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) in im 17.991 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 17.991 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 17.991 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 17.991 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 17.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 17.992 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 17.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 17.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 17.992 * [taylor]: Taking taylor expansion of 1/3 in im 17.992 * [backup-simplify]: Simplify 1/3 into 1/3 17.992 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 17.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 17.992 * [taylor]: Taking taylor expansion of (pow im 4) in im 17.992 * [taylor]: Taking taylor expansion of im in im 17.992 * [backup-simplify]: Simplify 0 into 0 17.992 * [backup-simplify]: Simplify 1 into 1 17.992 * [backup-simplify]: Simplify (* 1 1) into 1 17.993 * [backup-simplify]: Simplify (* 1 1) into 1 17.993 * [backup-simplify]: Simplify (/ 1 1) into 1 17.993 * [backup-simplify]: Simplify (log 1) into 0 17.994 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 17.994 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 17.994 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 17.994 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im -4/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) 17.995 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 17.995 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 17.996 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)))) into (+ re (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)))) 17.997 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (* (fabs (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 17.997 * [approximate]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 17.997 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 17.997 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 17.997 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 17.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 17.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 17.997 * [taylor]: Taking taylor expansion of 1/3 in im 17.997 * [backup-simplify]: Simplify 1/3 into 1/3 17.997 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 17.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 17.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 17.997 * [taylor]: Taking taylor expansion of (pow re 2) in im 17.997 * [taylor]: Taking taylor expansion of re in im 17.997 * [backup-simplify]: Simplify re into re 17.997 * [backup-simplify]: Simplify (* re re) into (pow re 2) 17.997 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 17.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 17.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 17.998 * [taylor]: Taking taylor expansion of im in im 17.998 * [backup-simplify]: Simplify 0 into 0 17.998 * [backup-simplify]: Simplify 1 into 1 17.998 * [backup-simplify]: Simplify (* 1 1) into 1 17.999 * [backup-simplify]: Simplify (/ 1 1) into 1 17.999 * [backup-simplify]: Simplify (+ 0 1) into 1 17.999 * [backup-simplify]: Simplify (log 1) into 0 18.000 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 18.000 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 18.000 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 18.000 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.000 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.000 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.001 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.001 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.001 * [taylor]: Taking taylor expansion of re in im 18.001 * [backup-simplify]: Simplify re into re 18.001 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.001 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 18.001 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 18.001 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 18.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.001 * [taylor]: Taking taylor expansion of 1/3 in re 18.001 * [backup-simplify]: Simplify 1/3 into 1/3 18.001 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.001 * [taylor]: Taking taylor expansion of re in re 18.001 * [backup-simplify]: Simplify 0 into 0 18.001 * [backup-simplify]: Simplify 1 into 1 18.002 * [backup-simplify]: Simplify (* 1 1) into 1 18.002 * [backup-simplify]: Simplify (/ 1 1) into 1 18.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.002 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.002 * [taylor]: Taking taylor expansion of im in re 18.002 * [backup-simplify]: Simplify im into im 18.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.003 * [backup-simplify]: Simplify (+ 1 0) into 1 18.003 * [backup-simplify]: Simplify (log 1) into 0 18.004 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.004 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 18.004 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 18.004 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 18.004 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 18.004 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.004 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.005 * [taylor]: Taking taylor expansion of re in re 18.005 * [backup-simplify]: Simplify 0 into 0 18.005 * [backup-simplify]: Simplify 1 into 1 18.005 * [backup-simplify]: Simplify (/ 1 1) into 1 18.005 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 18.005 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 18.005 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 18.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.005 * [taylor]: Taking taylor expansion of 1/3 in re 18.005 * [backup-simplify]: Simplify 1/3 into 1/3 18.005 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.006 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.006 * [taylor]: Taking taylor expansion of re in re 18.006 * [backup-simplify]: Simplify 0 into 0 18.006 * [backup-simplify]: Simplify 1 into 1 18.006 * [backup-simplify]: Simplify (* 1 1) into 1 18.006 * [backup-simplify]: Simplify (/ 1 1) into 1 18.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.006 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.006 * [taylor]: Taking taylor expansion of im in re 18.007 * [backup-simplify]: Simplify im into im 18.007 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.007 * [backup-simplify]: Simplify (+ 1 0) into 1 18.007 * [backup-simplify]: Simplify (log 1) into 0 18.008 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.008 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 18.008 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 18.008 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 18.008 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 18.008 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.009 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.009 * [taylor]: Taking taylor expansion of re in re 18.009 * [backup-simplify]: Simplify 0 into 0 18.009 * [backup-simplify]: Simplify 1 into 1 18.009 * [backup-simplify]: Simplify (/ 1 1) into 1 18.010 * [backup-simplify]: Simplify (+ 0 1) into 1 18.010 * [taylor]: Taking taylor expansion of 1 in im 18.010 * [backup-simplify]: Simplify 1 into 1 18.010 * [backup-simplify]: Simplify 1 into 1 18.010 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.012 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 18.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 18.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 18.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 18.012 * [taylor]: Taking taylor expansion of 1/3 in im 18.012 * [backup-simplify]: Simplify 1/3 into 1/3 18.012 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 18.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.012 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.012 * [taylor]: Taking taylor expansion of re in im 18.012 * [backup-simplify]: Simplify re into re 18.012 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.012 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.012 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 18.012 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 18.012 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 18.012 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.012 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.013 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.013 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.014 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.014 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.014 * [backup-simplify]: Simplify 0 into 0 18.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.016 * [backup-simplify]: Simplify (+ 0 0) into 0 18.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.018 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 18.020 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 18.020 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.021 * [backup-simplify]: Simplify (+ 0 0) into 0 18.021 * [taylor]: Taking taylor expansion of 0 in im 18.021 * [backup-simplify]: Simplify 0 into 0 18.021 * [backup-simplify]: Simplify 0 into 0 18.022 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 18.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 18.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 18.024 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.024 * [backup-simplify]: Simplify 0 into 0 18.024 * [backup-simplify]: Simplify 0 into 0 18.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 18.030 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.030 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 18.031 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 18.033 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 18.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.034 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 18.034 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 18.034 * [taylor]: Taking taylor expansion of 1/3 in im 18.034 * [backup-simplify]: Simplify 1/3 into 1/3 18.034 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 18.034 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 18.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 18.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 18.034 * [taylor]: Taking taylor expansion of 1/3 in im 18.035 * [backup-simplify]: Simplify 1/3 into 1/3 18.035 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 18.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.035 * [taylor]: Taking taylor expansion of re in im 18.035 * [backup-simplify]: Simplify re into re 18.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.035 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.035 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 18.035 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 18.035 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 18.035 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 18.035 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.035 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.035 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.036 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.036 * [taylor]: Taking taylor expansion of im in im 18.036 * [backup-simplify]: Simplify 0 into 0 18.036 * [backup-simplify]: Simplify 1 into 1 18.037 * [backup-simplify]: Simplify (* 1 1) into 1 18.037 * [backup-simplify]: Simplify (/ 1 1) into 1 18.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.042 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 18.042 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 18.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 18.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 18.045 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.045 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 18.046 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 18.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 18.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 18.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.050 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.051 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 18.052 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.052 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.053 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 18.053 * [backup-simplify]: Simplify 0 into 0 18.053 * [backup-simplify]: Simplify 0 into 0 18.054 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 re) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 re) 2)) (/ 1 (pow (/ 1 im) 2))) 1/3)))) (* 1 (* 1 (/ 1 (/ 1 re))))) into (+ re (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) 18.055 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (* (fabs (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 18.055 * [approximate]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 18.055 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 18.055 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 18.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 18.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 18.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.055 * [taylor]: Taking taylor expansion of 1/3 in im 18.055 * [backup-simplify]: Simplify 1/3 into 1/3 18.055 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.055 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.055 * [taylor]: Taking taylor expansion of re in im 18.055 * [backup-simplify]: Simplify re into re 18.055 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.055 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.056 * [taylor]: Taking taylor expansion of im in im 18.056 * [backup-simplify]: Simplify 0 into 0 18.056 * [backup-simplify]: Simplify 1 into 1 18.056 * [backup-simplify]: Simplify (* 1 1) into 1 18.057 * [backup-simplify]: Simplify (/ 1 1) into 1 18.057 * [backup-simplify]: Simplify (+ 0 1) into 1 18.057 * [backup-simplify]: Simplify (log 1) into 0 18.058 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 18.058 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 18.058 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 18.058 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.058 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.058 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.059 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.059 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.059 * [taylor]: Taking taylor expansion of re in im 18.059 * [backup-simplify]: Simplify re into re 18.059 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.059 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 18.059 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 18.059 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 18.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.059 * [taylor]: Taking taylor expansion of 1/3 in re 18.059 * [backup-simplify]: Simplify 1/3 into 1/3 18.059 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.059 * [taylor]: Taking taylor expansion of re in re 18.059 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify 1 into 1 18.060 * [backup-simplify]: Simplify (* 1 1) into 1 18.060 * [backup-simplify]: Simplify (/ 1 1) into 1 18.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.060 * [taylor]: Taking taylor expansion of im in re 18.060 * [backup-simplify]: Simplify im into im 18.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.061 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.061 * [backup-simplify]: Simplify (+ 1 0) into 1 18.061 * [backup-simplify]: Simplify (log 1) into 0 18.062 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.062 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 18.062 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 18.062 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 18.062 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 18.062 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.063 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.063 * [taylor]: Taking taylor expansion of re in re 18.063 * [backup-simplify]: Simplify 0 into 0 18.063 * [backup-simplify]: Simplify 1 into 1 18.063 * [backup-simplify]: Simplify (/ 1 1) into 1 18.063 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 18.063 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 18.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 18.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.064 * [taylor]: Taking taylor expansion of 1/3 in re 18.064 * [backup-simplify]: Simplify 1/3 into 1/3 18.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.064 * [taylor]: Taking taylor expansion of re in re 18.064 * [backup-simplify]: Simplify 0 into 0 18.064 * [backup-simplify]: Simplify 1 into 1 18.064 * [backup-simplify]: Simplify (* 1 1) into 1 18.065 * [backup-simplify]: Simplify (/ 1 1) into 1 18.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.065 * [taylor]: Taking taylor expansion of im in re 18.065 * [backup-simplify]: Simplify im into im 18.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.065 * [backup-simplify]: Simplify (+ 1 0) into 1 18.066 * [backup-simplify]: Simplify (log 1) into 0 18.066 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.066 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 18.066 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 18.066 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 18.066 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 18.067 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.067 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.067 * [taylor]: Taking taylor expansion of re in re 18.067 * [backup-simplify]: Simplify 0 into 0 18.067 * [backup-simplify]: Simplify 1 into 1 18.068 * [backup-simplify]: Simplify (/ 1 1) into 1 18.068 * [backup-simplify]: Simplify (- 1) into -1 18.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.069 * [taylor]: Taking taylor expansion of -1 in im 18.069 * [backup-simplify]: Simplify -1 into -1 18.069 * [backup-simplify]: Simplify -1 into -1 18.069 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.070 * [backup-simplify]: Simplify (- 0) into 0 18.071 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.071 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 18.071 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 18.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 18.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 18.071 * [taylor]: Taking taylor expansion of 1/3 in im 18.071 * [backup-simplify]: Simplify 1/3 into 1/3 18.071 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 18.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.071 * [taylor]: Taking taylor expansion of re in im 18.071 * [backup-simplify]: Simplify re into re 18.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.071 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.071 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 18.071 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 18.071 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 18.071 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.071 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.072 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.072 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.073 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.073 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.073 * [backup-simplify]: Simplify 0 into 0 18.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.075 * [backup-simplify]: Simplify (+ 0 0) into 0 18.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.078 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 18.079 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 18.079 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.081 * [backup-simplify]: Simplify (- 0) into 0 18.081 * [backup-simplify]: Simplify (+ 0 0) into 0 18.081 * [taylor]: Taking taylor expansion of 0 in im 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 18.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 18.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 18.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.084 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.084 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 0 into 0 18.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 18.096 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 18.096 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 18.097 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 18.099 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 18.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.100 * [backup-simplify]: Simplify (- 0) into 0 18.101 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 18.101 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 18.101 * [taylor]: Taking taylor expansion of 1/3 in im 18.101 * [backup-simplify]: Simplify 1/3 into 1/3 18.101 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 18.101 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 18.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 18.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 18.101 * [taylor]: Taking taylor expansion of 1/3 in im 18.101 * [backup-simplify]: Simplify 1/3 into 1/3 18.101 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 18.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.101 * [taylor]: Taking taylor expansion of re in im 18.101 * [backup-simplify]: Simplify re into re 18.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.102 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 18.102 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 18.102 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 18.102 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 18.102 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 18.102 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 18.102 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 18.103 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.103 * [taylor]: Taking taylor expansion of im in im 18.103 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify 1 into 1 18.103 * [backup-simplify]: Simplify (* 1 1) into 1 18.104 * [backup-simplify]: Simplify (/ 1 1) into 1 18.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.109 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 18.110 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 18.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 18.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 18.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.113 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 18.113 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 18.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 18.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 18.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.118 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 18.119 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 18.119 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 18.120 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 18.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 18.121 * [backup-simplify]: Simplify 0 into 0 18.121 * [backup-simplify]: Simplify 0 into 0 18.121 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 (- re)) 2)) (/ 1 (pow (/ 1 (- im)) 2))) 1/3)))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into (+ re (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) 18.122 * * * [progress]: simplifying candidates 18.122 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 18.122 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 18.122 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 18.122 * [simplify]: Simplifying (log (cbrt (+ (* re re) (* im im)))) 18.122 * * [simplify]: iters left: 6 (7 enodes) 18.125 * * [simplify]: iters left: 5 (22 enodes) 18.130 * * [simplify]: Extracting #0: cost 1 inf + 0 18.130 * * [simplify]: Extracting #1: cost 3 inf + 0 18.130 * * [simplify]: Extracting #2: cost 5 inf + 0 18.130 * * [simplify]: Extracting #3: cost 8 inf + 0 18.130 * * [simplify]: Extracting #4: cost 12 inf + 0 18.130 * * [simplify]: Extracting #5: cost 10 inf + 2 18.130 * * [simplify]: Extracting #6: cost 1 inf + 1086 18.131 * * [simplify]: Extracting #7: cost 0 inf + 1358 18.131 * [simplify]: Simplified to (log (cbrt (+ (* re re) (* im im)))) 18.131 * [simplify]: Simplified (2 2 1 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 (exp (log (cbrt (+ (* re re) (* im im))))))))) re))))) 18.131 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 18.132 * [simplify]: Simplifying (exp (cbrt (+ (* re re) (* im im)))) 18.132 * * [simplify]: iters left: 6 (7 enodes) 18.134 * * [simplify]: iters left: 5 (22 enodes) 18.140 * * [simplify]: Extracting #0: cost 1 inf + 0 18.140 * * [simplify]: Extracting #1: cost 3 inf + 0 18.140 * * [simplify]: Extracting #2: cost 5 inf + 0 18.140 * * [simplify]: Extracting #3: cost 8 inf + 0 18.140 * * [simplify]: Extracting #4: cost 12 inf + 0 18.140 * * [simplify]: Extracting #5: cost 10 inf + 2 18.140 * * [simplify]: Extracting #6: cost 1 inf + 1086 18.141 * * [simplify]: Extracting #7: cost 0 inf + 1358 18.141 * [simplify]: Simplified to (exp (cbrt (+ (* re re) (* im im)))) 18.141 * [simplify]: Simplified (2 2 1 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 (log (exp (cbrt (+ (* re re) (* im im))))))))) re))))) 18.141 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 18.142 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 18.142 * * [simplify]: iters left: 6 (8 enodes) 18.145 * * [simplify]: iters left: 5 (25 enodes) 18.150 * * [simplify]: Extracting #0: cost 1 inf + 0 18.150 * * [simplify]: Extracting #1: cost 3 inf + 0 18.150 * * [simplify]: Extracting #2: cost 5 inf + 0 18.150 * * [simplify]: Extracting #3: cost 7 inf + 0 18.151 * * [simplify]: Extracting #4: cost 10 inf + 0 18.151 * * [simplify]: Extracting #5: cost 14 inf + 0 18.151 * * [simplify]: Extracting #6: cost 11 inf + 43 18.151 * * [simplify]: Extracting #7: cost 9 inf + 125 18.151 * * [simplify]: Extracting #8: cost 5 inf + 612 18.151 * * [simplify]: Extracting #9: cost 1 inf + 1620 18.152 * * [simplify]: Extracting #10: cost 0 inf + 1942 18.152 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 18.152 * [simplify]: Simplified (2 2 1 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 (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im))))))))) re))))) 18.153 * [simplify]: Simplifying (cbrt (cbrt (+ (* re re) (* im im)))) 18.153 * * [simplify]: iters left: 6 (7 enodes) 18.155 * * [simplify]: iters left: 5 (22 enodes) 18.160 * * [simplify]: Extracting #0: cost 1 inf + 0 18.160 * * [simplify]: Extracting #1: cost 3 inf + 0 18.160 * * [simplify]: Extracting #2: cost 5 inf + 0 18.160 * * [simplify]: Extracting #3: cost 8 inf + 0 18.160 * * [simplify]: Extracting #4: cost 12 inf + 0 18.161 * * [simplify]: Extracting #5: cost 10 inf + 2 18.161 * * [simplify]: Extracting #6: cost 1 inf + 1096 18.161 * * [simplify]: Extracting #7: cost 0 inf + 1378 18.161 * [simplify]: Simplified to (cbrt (cbrt (+ (* re re) (* im im)))) 18.162 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im))))))))) re))))) 18.162 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 18.162 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 18.162 * * [simplify]: iters left: 6 (7 enodes) 18.165 * * [simplify]: iters left: 5 (22 enodes) 18.169 * * [simplify]: Extracting #0: cost 1 inf + 0 18.169 * * [simplify]: Extracting #1: cost 3 inf + 0 18.169 * * [simplify]: Extracting #2: cost 5 inf + 0 18.169 * * [simplify]: Extracting #3: cost 8 inf + 0 18.169 * * [simplify]: Extracting #4: cost 12 inf + 0 18.169 * * [simplify]: Extracting #5: cost 10 inf + 2 18.169 * * [simplify]: Extracting #6: cost 1 inf + 976 18.169 * * [simplify]: Extracting #7: cost 0 inf + 1218 18.170 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 18.170 * [simplify]: Simplified (2 2 1 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 (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))))) re))))) 18.170 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 18.170 * * [simplify]: iters left: 6 (7 enodes) 18.171 * * [simplify]: iters left: 5 (22 enodes) 18.175 * * [simplify]: Extracting #0: cost 1 inf + 0 18.175 * * [simplify]: Extracting #1: cost 3 inf + 0 18.175 * * [simplify]: Extracting #2: cost 5 inf + 0 18.175 * * [simplify]: Extracting #3: cost 8 inf + 0 18.175 * * [simplify]: Extracting #4: cost 12 inf + 0 18.175 * * [simplify]: Extracting #5: cost 10 inf + 2 18.175 * * [simplify]: Extracting #6: cost 1 inf + 976 18.175 * * [simplify]: Extracting #7: cost 0 inf + 1218 18.175 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 18.175 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))))) re))))) 18.176 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 18.176 * [simplify]: Simplifying (cbrt 1) 18.176 * * [simplify]: iters left: 1 (2 enodes) 18.178 * * [simplify]: Extracting #0: cost 1 inf + 0 18.178 * * [simplify]: Extracting #1: cost 0 inf + 1 18.178 * [simplify]: Simplified to 1 18.178 * [simplify]: Simplified (2 2 1 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 (* 1 (cbrt (+ (* re re) (* im im)))))))) re))))) 18.178 * [simplify]: Simplifying (cbrt (+ (* re re) (* im im))) 18.178 * * [simplify]: iters left: 5 (6 enodes) 18.179 * * [simplify]: iters left: 4 (19 enodes) 18.182 * * [simplify]: Extracting #0: cost 1 inf + 0 18.182 * * [simplify]: Extracting #1: cost 3 inf + 0 18.182 * * [simplify]: Extracting #2: cost 6 inf + 0 18.182 * * [simplify]: Extracting #3: cost 10 inf + 0 18.182 * * [simplify]: Extracting #4: cost 6 inf + 84 18.182 * * [simplify]: Extracting #5: cost 0 inf + 814 18.183 * [simplify]: Simplified to (cbrt (+ (* re re) (* im im))) 18.183 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* 1 (cbrt (+ (* re re) (* im im)))))))) re))))) 18.183 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 18.183 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 18.183 * * [simplify]: iters left: 6 (9 enodes) 18.186 * * [simplify]: iters left: 5 (45 enodes) 18.197 * * [simplify]: iters left: 4 (100 enodes) 18.236 * * [simplify]: iters left: 3 (201 enodes) 18.318 * * [simplify]: iters left: 2 (406 enodes) 18.467 * * [simplify]: Extracting #0: cost 1 inf + 0 18.467 * * [simplify]: Extracting #1: cost 3 inf + 0 18.467 * * [simplify]: Extracting #2: cost 6 inf + 0 18.468 * * [simplify]: Extracting #3: cost 80 inf + 0 18.469 * * [simplify]: Extracting #4: cost 189 inf + 460 18.471 * * [simplify]: Extracting #5: cost 168 inf + 4664 18.477 * * [simplify]: Extracting #6: cost 84 inf + 34249 18.487 * * [simplify]: Extracting #7: cost 2 inf + 72688 18.499 * * [simplify]: Extracting #8: cost 0 inf + 73443 18.511 * [simplify]: Simplified to (cbrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 18.511 * [simplify]: Simplified (2 2 1 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) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) re))))) 18.512 * [simplify]: Simplifying (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 18.512 * * [simplify]: iters left: 6 (10 enodes) 18.515 * * [simplify]: iters left: 5 (52 enodes) 18.528 * * [simplify]: iters left: 4 (119 enodes) 18.563 * * [simplify]: iters left: 3 (234 enodes) 18.627 * * [simplify]: iters left: 2 (366 enodes) 18.749 * * [simplify]: Extracting #0: cost 1 inf + 0 18.749 * * [simplify]: Extracting #1: cost 3 inf + 0 18.749 * * [simplify]: Extracting #2: cost 22 inf + 0 18.750 * * [simplify]: Extracting #3: cost 148 inf + 0 18.752 * * [simplify]: Extracting #4: cost 202 inf + 2270 18.759 * * [simplify]: Extracting #5: cost 83 inf + 22354 18.773 * * [simplify]: Extracting #6: cost 1 inf + 35188 18.788 * * [simplify]: Extracting #7: cost 0 inf + 35120 18.807 * [simplify]: Simplified to (cbrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 18.807 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) 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) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (cbrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))))))) re))))) 18.808 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 18.808 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.808 * * [simplify]: iters left: 6 (8 enodes) 18.813 * * [simplify]: iters left: 5 (37 enodes) 18.826 * * [simplify]: iters left: 4 (67 enodes) 18.848 * * [simplify]: iters left: 3 (123 enodes) 18.873 * * [simplify]: iters left: 2 (278 enodes) 18.995 * * [simplify]: Extracting #0: cost 1 inf + 0 18.995 * * [simplify]: Extracting #1: cost 3 inf + 0 18.995 * * [simplify]: Extracting #2: cost 50 inf + 0 18.996 * * [simplify]: Extracting #3: cost 150 inf + 0 18.998 * * [simplify]: Extracting #4: cost 194 inf + 1220 19.003 * * [simplify]: Extracting #5: cost 123 inf + 12501 19.015 * * [simplify]: Extracting #6: cost 12 inf + 33884 19.029 * * [simplify]: Extracting #7: cost 0 inf + 36209 19.038 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 19.038 * [simplify]: Simplified (2 2 1 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) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im)))))))) re))))) 19.039 * [simplify]: Simplifying (cbrt (- (* re re) (* im im))) 19.039 * * [simplify]: iters left: 5 (6 enodes) 19.040 * * [simplify]: iters left: 4 (23 enodes) 19.044 * * [simplify]: iters left: 3 (36 enodes) 19.049 * * [simplify]: iters left: 2 (53 enodes) 19.058 * * [simplify]: iters left: 1 (94 enodes) 19.078 * * [simplify]: Extracting #0: cost 1 inf + 0 19.078 * * [simplify]: Extracting #1: cost 3 inf + 0 19.078 * * [simplify]: Extracting #2: cost 32 inf + 0 19.079 * * [simplify]: Extracting #3: cost 48 inf + 0 19.079 * * [simplify]: Extracting #4: cost 42 inf + 247 19.080 * * [simplify]: Extracting #5: cost 18 inf + 3452 19.083 * * [simplify]: Extracting #6: cost 0 inf + 5808 19.085 * * [simplify]: Extracting #7: cost 0 inf + 5528 19.088 * [simplify]: Simplified to (cbrt (- (* re re) (* im im))) 19.088 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) 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) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im)))))))) re))))) 19.089 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 19.089 * [simplify]: Simplifying (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) 19.089 * * [simplify]: iters left: 6 (8 enodes) 19.093 * * [simplify]: iters left: 5 (25 enodes) 19.100 * * [simplify]: Extracting #0: cost 1 inf + 0 19.100 * * [simplify]: Extracting #1: cost 3 inf + 0 19.100 * * [simplify]: Extracting #2: cost 5 inf + 0 19.100 * * [simplify]: Extracting #3: cost 7 inf + 0 19.100 * * [simplify]: Extracting #4: cost 10 inf + 0 19.100 * * [simplify]: Extracting #5: cost 14 inf + 0 19.100 * * [simplify]: Extracting #6: cost 11 inf + 43 19.100 * * [simplify]: Extracting #7: cost 9 inf + 125 19.100 * * [simplify]: Extracting #8: cost 5 inf + 612 19.101 * * [simplify]: Extracting #9: cost 1 inf + 1700 19.101 * * [simplify]: Extracting #10: cost 0 inf + 2022 19.102 * [simplify]: Simplified to (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) 19.102 * [simplify]: Simplified (2 2 1 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 (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im))))))))) re))))) 19.103 * [simplify]: Simplifying (cbrt (cbrt (+ (* re re) (* im im)))) 19.103 * * [simplify]: iters left: 6 (7 enodes) 19.106 * * [simplify]: iters left: 5 (22 enodes) 19.111 * * [simplify]: Extracting #0: cost 1 inf + 0 19.112 * * [simplify]: Extracting #1: cost 3 inf + 0 19.112 * * [simplify]: Extracting #2: cost 5 inf + 0 19.112 * * [simplify]: Extracting #3: cost 8 inf + 0 19.112 * * [simplify]: Extracting #4: cost 12 inf + 0 19.112 * * [simplify]: Extracting #5: cost 10 inf + 2 19.112 * * [simplify]: Extracting #6: cost 1 inf + 1096 19.113 * * [simplify]: Extracting #7: cost 0 inf + 1378 19.113 * [simplify]: Simplified to (cbrt (cbrt (+ (* re re) (* im im)))) 19.113 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im))))))))) re))))) 19.114 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 19.114 * [simplify]: Simplifying (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) 19.114 * * [simplify]: iters left: 6 (8 enodes) 19.118 * * [simplify]: iters left: 5 (26 enodes) 19.125 * * [simplify]: iters left: 4 (28 enodes) 19.134 * * [simplify]: iters left: 3 (35 enodes) 19.142 * * [simplify]: iters left: 2 (49 enodes) 19.151 * * [simplify]: iters left: 1 (75 enodes) 19.165 * * [simplify]: Extracting #0: cost 1 inf + 0 19.165 * * [simplify]: Extracting #1: cost 11 inf + 0 19.165 * * [simplify]: Extracting #2: cost 23 inf + 1 19.165 * * [simplify]: Extracting #3: cost 18 inf + 169 19.166 * * [simplify]: Extracting #4: cost 15 inf + 616 19.167 * * [simplify]: Extracting #5: cost 3 inf + 5280 19.169 * * [simplify]: Extracting #6: cost 0 inf + 6850 19.170 * [simplify]: Simplified to (+ (* re re) (* im im)) 19.170 * [simplify]: Simplified (2 2 1 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))))) 19.170 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 19.171 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 19.171 * * [simplify]: iters left: 6 (7 enodes) 19.174 * * [simplify]: iters left: 5 (22 enodes) 19.180 * * [simplify]: Extracting #0: cost 1 inf + 0 19.180 * * [simplify]: Extracting #1: cost 3 inf + 0 19.180 * * [simplify]: Extracting #2: cost 5 inf + 0 19.180 * * [simplify]: Extracting #3: cost 8 inf + 0 19.180 * * [simplify]: Extracting #4: cost 12 inf + 0 19.180 * * [simplify]: Extracting #5: cost 10 inf + 2 19.180 * * [simplify]: Extracting #6: cost 1 inf + 1056 19.181 * * [simplify]: Extracting #7: cost 0 inf + 1298 19.181 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 19.181 * [simplify]: Simplified (2 2 1 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 (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re))))) 19.182 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 19.182 * * [simplify]: iters left: 6 (7 enodes) 19.185 * * [simplify]: iters left: 5 (22 enodes) 19.193 * * [simplify]: Extracting #0: cost 1 inf + 0 19.194 * * [simplify]: Extracting #1: cost 3 inf + 0 19.194 * * [simplify]: Extracting #2: cost 5 inf + 0 19.194 * * [simplify]: Extracting #3: cost 8 inf + 0 19.194 * * [simplify]: Extracting #4: cost 12 inf + 0 19.194 * * [simplify]: Extracting #5: cost 10 inf + 2 19.194 * * [simplify]: Extracting #6: cost 1 inf + 1056 19.194 * * [simplify]: Extracting #7: cost 0 inf + 1298 19.195 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 19.195 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re))))) 19.195 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 19.195 * * * * [progress]: [ 14 / 68 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im))))))))) re)))))> 19.196 * [simplify]: Simplifying (real->posit16 (cbrt (+ (* re re) (* im im)))) 19.196 * * [simplify]: iters left: 6 (7 enodes) 19.199 * * [simplify]: iters left: 5 (19 enodes) 19.204 * * [simplify]: Extracting #0: cost 1 inf + 0 19.204 * * [simplify]: Extracting #1: cost 2 inf + 0 19.204 * * [simplify]: Extracting #2: cost 3 inf + 0 19.204 * * [simplify]: Extracting #3: cost 6 inf + 0 19.204 * * [simplify]: Extracting #4: cost 10 inf + 0 19.204 * * [simplify]: Extracting #5: cost 6 inf + 84 19.204 * * [simplify]: Extracting #6: cost 0 inf + 814 19.204 * [simplify]: Simplified to (real->posit16 (cbrt (+ (* re re) (* im im)))) 19.204 * [simplify]: Simplified (2 2 1 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 (posit16->real (real->posit16 (cbrt (+ (* re re) (* im im))))))))) re))))) 19.205 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 19.205 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 19.205 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 19.205 * [simplify]: Simplifying (log (cbrt (+ (* re re) (* im im)))) 19.205 * * [simplify]: iters left: 6 (7 enodes) 19.208 * * [simplify]: iters left: 5 (22 enodes) 19.214 * * [simplify]: Extracting #0: cost 1 inf + 0 19.214 * * [simplify]: Extracting #1: cost 3 inf + 0 19.215 * * [simplify]: Extracting #2: cost 5 inf + 0 19.215 * * [simplify]: Extracting #3: cost 8 inf + 0 19.215 * * [simplify]: Extracting #4: cost 12 inf + 0 19.215 * * [simplify]: Extracting #5: cost 10 inf + 2 19.215 * * [simplify]: Extracting #6: cost 1 inf + 1086 19.215 * * [simplify]: Extracting #7: cost 0 inf + 1358 19.216 * [simplify]: Simplified to (log (cbrt (+ (* re re) (* im im)))) 19.216 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.216 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 19.217 * [simplify]: Simplifying (exp (cbrt (+ (* re re) (* im im)))) 19.217 * * [simplify]: iters left: 6 (7 enodes) 19.220 * * [simplify]: iters left: 5 (22 enodes) 19.226 * * [simplify]: Extracting #0: cost 1 inf + 0 19.226 * * [simplify]: Extracting #1: cost 3 inf + 0 19.226 * * [simplify]: Extracting #2: cost 5 inf + 0 19.226 * * [simplify]: Extracting #3: cost 8 inf + 0 19.226 * * [simplify]: Extracting #4: cost 12 inf + 0 19.226 * * [simplify]: Extracting #5: cost 10 inf + 2 19.226 * * [simplify]: Extracting #6: cost 1 inf + 1086 19.227 * * [simplify]: Extracting #7: cost 0 inf + 1358 19.227 * [simplify]: Simplified to (exp (cbrt (+ (* re re) (* im im)))) 19.227 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (log (exp (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.227 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 19.228 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 19.228 * * [simplify]: iters left: 6 (8 enodes) 19.231 * * [simplify]: iters left: 5 (25 enodes) 19.238 * * [simplify]: Extracting #0: cost 1 inf + 0 19.238 * * [simplify]: Extracting #1: cost 3 inf + 0 19.238 * * [simplify]: Extracting #2: cost 5 inf + 0 19.238 * * [simplify]: Extracting #3: cost 7 inf + 0 19.238 * * [simplify]: Extracting #4: cost 10 inf + 0 19.238 * * [simplify]: Extracting #5: cost 14 inf + 0 19.238 * * [simplify]: Extracting #6: cost 11 inf + 43 19.238 * * [simplify]: Extracting #7: cost 9 inf + 125 19.238 * * [simplify]: Extracting #8: cost 5 inf + 612 19.239 * * [simplify]: Extracting #9: cost 1 inf + 1620 19.239 * * [simplify]: Extracting #10: cost 0 inf + 1942 19.240 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 19.240 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.240 * [simplify]: Simplifying (cbrt (cbrt (+ (* re re) (* im im)))) 19.241 * * [simplify]: iters left: 6 (7 enodes) 19.243 * * [simplify]: iters left: 5 (22 enodes) 19.249 * * [simplify]: Extracting #0: cost 1 inf + 0 19.249 * * [simplify]: Extracting #1: cost 3 inf + 0 19.249 * * [simplify]: Extracting #2: cost 5 inf + 0 19.249 * * [simplify]: Extracting #3: cost 8 inf + 0 19.249 * * [simplify]: Extracting #4: cost 12 inf + 0 19.250 * * [simplify]: Extracting #5: cost 10 inf + 2 19.250 * * [simplify]: Extracting #6: cost 1 inf + 1096 19.250 * * [simplify]: Extracting #7: cost 0 inf + 1378 19.251 * [simplify]: Simplified to (cbrt (cbrt (+ (* re re) (* im im)))) 19.251 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.251 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 19.251 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 19.251 * * [simplify]: iters left: 6 (7 enodes) 19.254 * * [simplify]: iters left: 5 (22 enodes) 19.260 * * [simplify]: Extracting #0: cost 1 inf + 0 19.260 * * [simplify]: Extracting #1: cost 3 inf + 0 19.260 * * [simplify]: Extracting #2: cost 5 inf + 0 19.260 * * [simplify]: Extracting #3: cost 8 inf + 0 19.260 * * [simplify]: Extracting #4: cost 12 inf + 0 19.260 * * [simplify]: Extracting #5: cost 10 inf + 2 19.261 * * [simplify]: Extracting #6: cost 1 inf + 976 19.261 * * [simplify]: Extracting #7: cost 0 inf + 1218 19.261 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 19.262 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.262 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 19.262 * * [simplify]: iters left: 6 (7 enodes) 19.265 * * [simplify]: iters left: 5 (22 enodes) 19.271 * * [simplify]: Extracting #0: cost 1 inf + 0 19.271 * * [simplify]: Extracting #1: cost 3 inf + 0 19.271 * * [simplify]: Extracting #2: cost 5 inf + 0 19.271 * * [simplify]: Extracting #3: cost 8 inf + 0 19.271 * * [simplify]: Extracting #4: cost 12 inf + 0 19.271 * * [simplify]: Extracting #5: cost 10 inf + 2 19.272 * * [simplify]: Extracting #6: cost 1 inf + 976 19.272 * * [simplify]: Extracting #7: cost 0 inf + 1218 19.272 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 19.273 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.273 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 19.273 * [simplify]: Simplifying (cbrt 1) 19.274 * * [simplify]: iters left: 1 (2 enodes) 19.277 * * [simplify]: Extracting #0: cost 1 inf + 0 19.277 * * [simplify]: Extracting #1: cost 0 inf + 1 19.277 * [simplify]: Simplified to 1 19.277 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* 1 (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.277 * [simplify]: Simplifying (cbrt (+ (* re re) (* im im))) 19.277 * * [simplify]: iters left: 5 (6 enodes) 19.280 * * [simplify]: iters left: 4 (19 enodes) 19.285 * * [simplify]: Extracting #0: cost 1 inf + 0 19.285 * * [simplify]: Extracting #1: cost 3 inf + 0 19.285 * * [simplify]: Extracting #2: cost 6 inf + 0 19.285 * * [simplify]: Extracting #3: cost 10 inf + 0 19.285 * * [simplify]: Extracting #4: cost 6 inf + 84 19.285 * * [simplify]: Extracting #5: cost 0 inf + 814 19.286 * [simplify]: Simplified to (cbrt (+ (* re re) (* im im))) 19.286 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* 1 (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.286 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 19.286 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 19.287 * * [simplify]: iters left: 6 (9 enodes) 19.290 * * [simplify]: iters left: 5 (45 enodes) 19.300 * * [simplify]: iters left: 4 (100 enodes) 19.335 * * [simplify]: iters left: 3 (201 enodes) 19.413 * * [simplify]: iters left: 2 (406 enodes) 19.551 * * [simplify]: Extracting #0: cost 1 inf + 0 19.551 * * [simplify]: Extracting #1: cost 3 inf + 0 19.551 * * [simplify]: Extracting #2: cost 6 inf + 0 19.551 * * [simplify]: Extracting #3: cost 80 inf + 0 19.552 * * [simplify]: Extracting #4: cost 189 inf + 460 19.553 * * [simplify]: Extracting #5: cost 168 inf + 4664 19.556 * * [simplify]: Extracting #6: cost 84 inf + 34249 19.562 * * [simplify]: Extracting #7: cost 2 inf + 72688 19.572 * * [simplify]: Extracting #8: cost 0 inf + 73443 19.583 * [simplify]: Simplified to (cbrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 19.583 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (/ (cbrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.584 * [simplify]: Simplifying (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 19.584 * * [simplify]: iters left: 6 (10 enodes) 19.590 * * [simplify]: iters left: 5 (52 enodes) 19.610 * * [simplify]: iters left: 4 (119 enodes) 19.644 * * [simplify]: iters left: 3 (234 enodes) 19.703 * * [simplify]: iters left: 2 (366 enodes) 19.857 * * [simplify]: Extracting #0: cost 1 inf + 0 19.857 * * [simplify]: Extracting #1: cost 3 inf + 0 19.857 * * [simplify]: Extracting #2: cost 22 inf + 0 19.857 * * [simplify]: Extracting #3: cost 148 inf + 0 19.858 * * [simplify]: Extracting #4: cost 202 inf + 2270 19.862 * * [simplify]: Extracting #5: cost 83 inf + 22354 19.869 * * [simplify]: Extracting #6: cost 1 inf + 35188 19.877 * * [simplify]: Extracting #7: cost 0 inf + 35120 19.884 * [simplify]: Simplified to (cbrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 19.884 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (/ (cbrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (cbrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 19.885 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 19.888 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 19.888 * * [simplify]: iters left: 6 (8 enodes) 19.890 * * [simplify]: iters left: 5 (37 enodes) 19.902 * * [simplify]: iters left: 4 (67 enodes) 19.921 * * [simplify]: iters left: 3 (123 enodes) 19.950 * * [simplify]: iters left: 2 (278 enodes) 20.087 * * [simplify]: Extracting #0: cost 1 inf + 0 20.088 * * [simplify]: Extracting #1: cost 3 inf + 0 20.088 * * [simplify]: Extracting #2: cost 50 inf + 0 20.089 * * [simplify]: Extracting #3: cost 150 inf + 0 20.091 * * [simplify]: Extracting #4: cost 194 inf + 1220 20.095 * * [simplify]: Extracting #5: cost 123 inf + 12501 20.106 * * [simplify]: Extracting #6: cost 12 inf + 33884 20.113 * * [simplify]: Extracting #7: cost 0 inf + 36209 20.121 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 20.121 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.122 * [simplify]: Simplifying (cbrt (- (* re re) (* im im))) 20.122 * * [simplify]: iters left: 5 (6 enodes) 20.123 * * [simplify]: iters left: 4 (23 enodes) 20.127 * * [simplify]: iters left: 3 (36 enodes) 20.132 * * [simplify]: iters left: 2 (53 enodes) 20.148 * * [simplify]: iters left: 1 (94 enodes) 20.169 * * [simplify]: Extracting #0: cost 1 inf + 0 20.169 * * [simplify]: Extracting #1: cost 3 inf + 0 20.169 * * [simplify]: Extracting #2: cost 32 inf + 0 20.169 * * [simplify]: Extracting #3: cost 48 inf + 0 20.169 * * [simplify]: Extracting #4: cost 42 inf + 247 20.170 * * [simplify]: Extracting #5: cost 18 inf + 3452 20.171 * * [simplify]: Extracting #6: cost 0 inf + 5808 20.172 * * [simplify]: Extracting #7: cost 0 inf + 5528 20.174 * [simplify]: Simplified to (cbrt (- (* re re) (* im im))) 20.174 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.174 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 20.174 * [simplify]: Simplifying (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) 20.174 * * [simplify]: iters left: 6 (8 enodes) 20.176 * * [simplify]: iters left: 5 (25 enodes) 20.183 * * [simplify]: Extracting #0: cost 1 inf + 0 20.183 * * [simplify]: Extracting #1: cost 3 inf + 0 20.183 * * [simplify]: Extracting #2: cost 5 inf + 0 20.183 * * [simplify]: Extracting #3: cost 7 inf + 0 20.183 * * [simplify]: Extracting #4: cost 10 inf + 0 20.183 * * [simplify]: Extracting #5: cost 14 inf + 0 20.183 * * [simplify]: Extracting #6: cost 11 inf + 43 20.184 * * [simplify]: Extracting #7: cost 9 inf + 125 20.184 * * [simplify]: Extracting #8: cost 5 inf + 612 20.184 * * [simplify]: Extracting #9: cost 1 inf + 1700 20.185 * * [simplify]: Extracting #10: cost 0 inf + 2022 20.185 * [simplify]: Simplified to (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) 20.185 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.186 * [simplify]: Simplifying (cbrt (cbrt (+ (* re re) (* im im)))) 20.186 * * [simplify]: iters left: 6 (7 enodes) 20.189 * * [simplify]: iters left: 5 (22 enodes) 20.195 * * [simplify]: Extracting #0: cost 1 inf + 0 20.195 * * [simplify]: Extracting #1: cost 3 inf + 0 20.195 * * [simplify]: Extracting #2: cost 5 inf + 0 20.195 * * [simplify]: Extracting #3: cost 8 inf + 0 20.195 * * [simplify]: Extracting #4: cost 12 inf + 0 20.195 * * [simplify]: Extracting #5: cost 10 inf + 2 20.196 * * [simplify]: Extracting #6: cost 1 inf + 1096 20.196 * * [simplify]: Extracting #7: cost 0 inf + 1378 20.196 * [simplify]: Simplified to (cbrt (cbrt (+ (* re re) (* im im)))) 20.196 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.197 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 20.197 * [simplify]: Simplifying (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) 20.197 * * [simplify]: iters left: 6 (8 enodes) 20.201 * * [simplify]: iters left: 5 (26 enodes) 20.209 * * [simplify]: iters left: 4 (28 enodes) 20.218 * * [simplify]: iters left: 3 (35 enodes) 20.230 * * [simplify]: iters left: 2 (49 enodes) 20.248 * * [simplify]: iters left: 1 (75 enodes) 20.270 * * [simplify]: Extracting #0: cost 1 inf + 0 20.270 * * [simplify]: Extracting #1: cost 11 inf + 0 20.270 * * [simplify]: Extracting #2: cost 23 inf + 1 20.270 * * [simplify]: Extracting #3: cost 18 inf + 169 20.271 * * [simplify]: Extracting #4: cost 15 inf + 616 20.271 * * [simplify]: Extracting #5: cost 3 inf + 5280 20.272 * * [simplify]: Extracting #6: cost 0 inf + 6850 20.273 * [simplify]: Simplified to (+ (* re re) (* im im)) 20.273 * [simplify]: Simplified (2 2 1 2 1 2 1 1 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))))) 20.273 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 20.273 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 20.273 * * [simplify]: iters left: 6 (7 enodes) 20.274 * * [simplify]: iters left: 5 (22 enodes) 20.277 * * [simplify]: Extracting #0: cost 1 inf + 0 20.277 * * [simplify]: Extracting #1: cost 3 inf + 0 20.277 * * [simplify]: Extracting #2: cost 5 inf + 0 20.277 * * [simplify]: Extracting #3: cost 8 inf + 0 20.277 * * [simplify]: Extracting #4: cost 12 inf + 0 20.278 * * [simplify]: Extracting #5: cost 10 inf + 2 20.278 * * [simplify]: Extracting #6: cost 1 inf + 1056 20.278 * * [simplify]: Extracting #7: cost 0 inf + 1298 20.278 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 20.278 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.278 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 20.279 * * [simplify]: iters left: 6 (7 enodes) 20.280 * * [simplify]: iters left: 5 (22 enodes) 20.283 * * [simplify]: Extracting #0: cost 1 inf + 0 20.283 * * [simplify]: Extracting #1: cost 3 inf + 0 20.283 * * [simplify]: Extracting #2: cost 5 inf + 0 20.283 * * [simplify]: Extracting #3: cost 8 inf + 0 20.283 * * [simplify]: Extracting #4: cost 12 inf + 0 20.283 * * [simplify]: Extracting #5: cost 10 inf + 2 20.283 * * [simplify]: Extracting #6: cost 1 inf + 1056 20.284 * * [simplify]: Extracting #7: cost 0 inf + 1298 20.284 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 20.284 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.284 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 20.284 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 20.284 * [simplify]: Simplifying (real->posit16 (cbrt (+ (* re re) (* im im)))) 20.284 * * [simplify]: iters left: 6 (7 enodes) 20.286 * * [simplify]: iters left: 5 (19 enodes) 20.290 * * [simplify]: Extracting #0: cost 1 inf + 0 20.290 * * [simplify]: Extracting #1: cost 2 inf + 0 20.290 * * [simplify]: Extracting #2: cost 3 inf + 0 20.290 * * [simplify]: Extracting #3: cost 6 inf + 0 20.290 * * [simplify]: Extracting #4: cost 10 inf + 0 20.290 * * [simplify]: Extracting #5: cost 6 inf + 84 20.291 * * [simplify]: Extracting #6: cost 0 inf + 814 20.291 * [simplify]: Simplified to (real->posit16 (cbrt (+ (* re re) (* im im)))) 20.291 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (posit16->real (real->posit16 (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.291 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 20.291 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 20.291 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 20.291 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))) 20.291 * * [simplify]: iters left: 6 (7 enodes) 20.293 * * [simplify]: iters left: 5 (22 enodes) 20.296 * * [simplify]: Extracting #0: cost 1 inf + 0 20.296 * * [simplify]: Extracting #1: cost 3 inf + 0 20.296 * * [simplify]: Extracting #2: cost 5 inf + 0 20.296 * * [simplify]: Extracting #3: cost 8 inf + 0 20.296 * * [simplify]: Extracting #4: cost 12 inf + 0 20.296 * * [simplify]: Extracting #5: cost 10 inf + 2 20.296 * * [simplify]: Extracting #6: cost 1 inf + 966 20.296 * * [simplify]: Extracting #7: cost 0 inf + 1198 20.297 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 20.297 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.297 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 20.297 * [simplify]: Simplifying (exp (sqrt (+ (* re re) (* im im)))) 20.297 * * [simplify]: iters left: 6 (7 enodes) 20.299 * * [simplify]: iters left: 5 (22 enodes) 20.302 * * [simplify]: Extracting #0: cost 1 inf + 0 20.302 * * [simplify]: Extracting #1: cost 3 inf + 0 20.302 * * [simplify]: Extracting #2: cost 5 inf + 0 20.302 * * [simplify]: Extracting #3: cost 8 inf + 0 20.302 * * [simplify]: Extracting #4: cost 12 inf + 0 20.302 * * [simplify]: Extracting #5: cost 10 inf + 2 20.302 * * [simplify]: Extracting #6: cost 1 inf + 966 20.302 * * [simplify]: Extracting #7: cost 0 inf + 1198 20.302 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 20.302 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.303 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 20.303 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 20.303 * * [simplify]: iters left: 6 (8 enodes) 20.304 * * [simplify]: iters left: 5 (25 enodes) 20.308 * * [simplify]: Extracting #0: cost 1 inf + 0 20.308 * * [simplify]: Extracting #1: cost 3 inf + 0 20.308 * * [simplify]: Extracting #2: cost 5 inf + 0 20.308 * * [simplify]: Extracting #3: cost 7 inf + 0 20.308 * * [simplify]: Extracting #4: cost 10 inf + 0 20.308 * * [simplify]: Extracting #5: cost 14 inf + 0 20.308 * * [simplify]: Extracting #6: cost 11 inf + 43 20.308 * * [simplify]: Extracting #7: cost 9 inf + 125 20.309 * * [simplify]: Extracting #8: cost 5 inf + 572 20.309 * * [simplify]: Extracting #9: cost 1 inf + 1500 20.310 * * [simplify]: Extracting #10: cost 0 inf + 1782 20.310 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 20.310 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.311 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 20.311 * * [simplify]: iters left: 6 (7 enodes) 20.314 * * [simplify]: iters left: 5 (22 enodes) 20.320 * * [simplify]: Extracting #0: cost 1 inf + 0 20.320 * * [simplify]: Extracting #1: cost 3 inf + 0 20.320 * * [simplify]: Extracting #2: cost 5 inf + 0 20.320 * * [simplify]: Extracting #3: cost 8 inf + 0 20.320 * * [simplify]: Extracting #4: cost 12 inf + 0 20.320 * * [simplify]: Extracting #5: cost 10 inf + 2 20.321 * * [simplify]: Extracting #6: cost 1 inf + 976 20.321 * * [simplify]: Extracting #7: cost 0 inf + 1218 20.321 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 20.322 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.322 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 20.322 * [simplify]: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) 20.322 * * [simplify]: iters left: 6 (8 enodes) 20.326 * * [simplify]: iters left: 5 (24 enodes) 20.333 * * [simplify]: iters left: 4 (35 enodes) 20.344 * * [simplify]: iters left: 3 (58 enodes) 20.362 * * [simplify]: iters left: 2 (80 enodes) 20.386 * * [simplify]: iters left: 1 (106 enodes) 20.416 * * [simplify]: Extracting #0: cost 1 inf + 0 20.416 * * [simplify]: Extracting #1: cost 11 inf + 0 20.417 * * [simplify]: Extracting #2: cost 27 inf + 1 20.417 * * [simplify]: Extracting #3: cost 28 inf + 87 20.417 * * [simplify]: Extracting #4: cost 21 inf + 980 20.421 * * [simplify]: Extracting #5: cost 6 inf + 5217 20.424 * * [simplify]: Extracting #6: cost 0 inf + 7866 20.426 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 20.426 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.427 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 20.427 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 20.427 * * [simplify]: iters left: 6 (8 enodes) 20.431 * * [simplify]: iters left: 5 (26 enodes) 20.434 * * [simplify]: Extracting #0: cost 1 inf + 0 20.434 * * [simplify]: Extracting #1: cost 4 inf + 0 20.435 * * [simplify]: Extracting #2: cost 7 inf + 0 20.435 * * [simplify]: Extracting #3: cost 10 inf + 0 20.435 * * [simplify]: Extracting #4: cost 14 inf + 0 20.435 * * [simplify]: Extracting #5: cost 10 inf + 84 20.435 * * [simplify]: Extracting #6: cost 8 inf + 166 20.435 * * [simplify]: Extracting #7: cost 4 inf + 854 20.435 * * [simplify]: Extracting #8: cost 1 inf + 1540 20.435 * * [simplify]: Extracting #9: cost 0 inf + 1782 20.436 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 20.436 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.437 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 20.437 * * [simplify]: iters left: 6 (7 enodes) 20.439 * * [simplify]: iters left: 5 (22 enodes) 20.442 * * [simplify]: Extracting #0: cost 1 inf + 0 20.442 * * [simplify]: Extracting #1: cost 3 inf + 0 20.442 * * [simplify]: Extracting #2: cost 5 inf + 0 20.442 * * [simplify]: Extracting #3: cost 8 inf + 0 20.442 * * [simplify]: Extracting #4: cost 12 inf + 0 20.442 * * [simplify]: Extracting #5: cost 10 inf + 2 20.442 * * [simplify]: Extracting #6: cost 1 inf + 1056 20.442 * * [simplify]: Extracting #7: cost 0 inf + 1298 20.442 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 20.442 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.443 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 20.443 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 20.443 * * [simplify]: iters left: 6 (7 enodes) 20.444 * * [simplify]: iters left: 5 (22 enodes) 20.447 * * [simplify]: Extracting #0: cost 1 inf + 0 20.447 * * [simplify]: Extracting #1: cost 3 inf + 0 20.447 * * [simplify]: Extracting #2: cost 5 inf + 0 20.447 * * [simplify]: Extracting #3: cost 8 inf + 0 20.447 * * [simplify]: Extracting #4: cost 12 inf + 0 20.447 * * [simplify]: Extracting #5: cost 10 inf + 2 20.448 * * [simplify]: Extracting #6: cost 1 inf + 936 20.448 * * [simplify]: Extracting #7: cost 0 inf + 1138 20.448 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 20.448 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.448 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 20.448 * * [simplify]: iters left: 6 (7 enodes) 20.450 * * [simplify]: iters left: 5 (22 enodes) 20.453 * * [simplify]: Extracting #0: cost 1 inf + 0 20.453 * * [simplify]: Extracting #1: cost 3 inf + 0 20.453 * * [simplify]: Extracting #2: cost 5 inf + 0 20.453 * * [simplify]: Extracting #3: cost 8 inf + 0 20.453 * * [simplify]: Extracting #4: cost 12 inf + 0 20.453 * * [simplify]: Extracting #5: cost 10 inf + 2 20.453 * * [simplify]: Extracting #6: cost 1 inf + 936 20.453 * * [simplify]: Extracting #7: cost 0 inf + 1138 20.453 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 20.454 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.454 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 20.454 * [simplify]: Simplifying (sqrt 1) 20.454 * * [simplify]: iters left: 1 (2 enodes) 20.456 * * [simplify]: Extracting #0: cost 1 inf + 0 20.456 * * [simplify]: Extracting #1: cost 0 inf + 1 20.456 * [simplify]: Simplified to 1 20.456 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.456 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 20.456 * * [simplify]: iters left: 5 (6 enodes) 20.458 * * [simplify]: iters left: 4 (19 enodes) 20.460 * * [simplify]: Extracting #0: cost 1 inf + 0 20.460 * * [simplify]: Extracting #1: cost 3 inf + 0 20.460 * * [simplify]: Extracting #2: cost 6 inf + 0 20.460 * * [simplify]: Extracting #3: cost 10 inf + 0 20.460 * * [simplify]: Extracting #4: cost 6 inf + 84 20.461 * * [simplify]: Extracting #5: cost 0 inf + 734 20.461 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 20.461 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.461 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 20.461 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 20.461 * * [simplify]: iters left: 6 (9 enodes) 20.464 * * [simplify]: iters left: 5 (45 enodes) 20.477 * * [simplify]: iters left: 4 (100 enodes) 20.508 * * [simplify]: iters left: 3 (201 enodes) 20.597 * * [simplify]: iters left: 2 (406 enodes) 20.747 * * [simplify]: Extracting #0: cost 1 inf + 0 20.748 * * [simplify]: Extracting #1: cost 3 inf + 0 20.748 * * [simplify]: Extracting #2: cost 6 inf + 0 20.748 * * [simplify]: Extracting #3: cost 80 inf + 0 20.748 * * [simplify]: Extracting #4: cost 189 inf + 460 20.749 * * [simplify]: Extracting #5: cost 168 inf + 4664 20.752 * * [simplify]: Extracting #6: cost 84 inf + 34209 20.758 * * [simplify]: Extracting #7: cost 2 inf + 72608 20.764 * * [simplify]: Extracting #8: cost 0 inf + 73363 20.772 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 20.772 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 20.773 * [simplify]: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 20.773 * * [simplify]: iters left: 6 (10 enodes) 20.779 * * [simplify]: iters left: 5 (52 enodes) 20.799 * * [simplify]: iters left: 4 (119 enodes) 20.845 * * [simplify]: iters left: 3 (234 enodes) 20.911 * * [simplify]: iters left: 2 (366 enodes) 21.057 * * [simplify]: Extracting #0: cost 1 inf + 0 21.057 * * [simplify]: Extracting #1: cost 3 inf + 0 21.057 * * [simplify]: Extracting #2: cost 22 inf + 0 21.058 * * [simplify]: Extracting #3: cost 148 inf + 0 21.059 * * [simplify]: Extracting #4: cost 202 inf + 2230 21.067 * * [simplify]: Extracting #5: cost 83 inf + 22274 21.081 * * [simplify]: Extracting #6: cost 1 inf + 35108 21.096 * * [simplify]: Extracting #7: cost 0 inf + 35040 21.110 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 21.110 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.111 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 21.111 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 21.111 * * [simplify]: iters left: 6 (8 enodes) 21.116 * * [simplify]: iters left: 5 (37 enodes) 21.129 * * [simplify]: iters left: 4 (67 enodes) 21.156 * * [simplify]: iters left: 3 (123 enodes) 21.198 * * [simplify]: iters left: 2 (278 enodes) 21.333 * * [simplify]: Extracting #0: cost 1 inf + 0 21.333 * * [simplify]: Extracting #1: cost 3 inf + 0 21.333 * * [simplify]: Extracting #2: cost 50 inf + 0 21.334 * * [simplify]: Extracting #3: cost 150 inf + 0 21.335 * * [simplify]: Extracting #4: cost 194 inf + 1180 21.340 * * [simplify]: Extracting #5: cost 123 inf + 12421 21.358 * * [simplify]: Extracting #6: cost 12 inf + 33804 21.374 * * [simplify]: Extracting #7: cost 0 inf + 36129 21.386 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 21.386 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.387 * [simplify]: Simplifying (sqrt (- (* re re) (* im im))) 21.387 * * [simplify]: iters left: 5 (6 enodes) 21.388 * * [simplify]: iters left: 4 (23 enodes) 21.392 * * [simplify]: iters left: 3 (36 enodes) 21.397 * * [simplify]: iters left: 2 (53 enodes) 21.406 * * [simplify]: iters left: 1 (94 enodes) 21.430 * * [simplify]: Extracting #0: cost 1 inf + 0 21.430 * * [simplify]: Extracting #1: cost 3 inf + 0 21.430 * * [simplify]: Extracting #2: cost 32 inf + 0 21.430 * * [simplify]: Extracting #3: cost 48 inf + 0 21.431 * * [simplify]: Extracting #4: cost 42 inf + 247 21.432 * * [simplify]: Extracting #5: cost 18 inf + 3412 21.433 * * [simplify]: Extracting #6: cost 0 inf + 5728 21.434 * * [simplify]: Extracting #7: cost 0 inf + 5448 21.435 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 21.436 * [simplify]: Simplified (2 2 1 2 1 1 1 2) 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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.436 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 21.436 * [simplify]: Simplifying (/ 1 2) 21.436 * * [simplify]: iters left: 2 (3 enodes) 21.438 * * [simplify]: iters left: 1 (12 enodes) 21.441 * * [simplify]: Extracting #0: cost 1 inf + 0 21.441 * * [simplify]: Extracting #1: cost 0 inf + 1 21.441 * [simplify]: Simplified to 1/2 21.441 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.441 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 21.441 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 21.441 * * [simplify]: iters left: 6 (7 enodes) 21.443 * * [simplify]: iters left: 5 (22 enodes) 21.447 * * [simplify]: Extracting #0: cost 1 inf + 0 21.447 * * [simplify]: Extracting #1: cost 3 inf + 0 21.447 * * [simplify]: Extracting #2: cost 5 inf + 0 21.447 * * [simplify]: Extracting #3: cost 8 inf + 0 21.447 * * [simplify]: Extracting #4: cost 12 inf + 0 21.447 * * [simplify]: Extracting #5: cost 10 inf + 2 21.448 * * [simplify]: Extracting #6: cost 1 inf + 936 21.448 * * [simplify]: Extracting #7: cost 0 inf + 1138 21.448 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 21.448 * [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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.448 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 21.448 * * [simplify]: iters left: 6 (7 enodes) 21.450 * * [simplify]: iters left: 5 (22 enodes) 21.453 * * [simplify]: Extracting #0: cost 1 inf + 0 21.453 * * [simplify]: Extracting #1: cost 3 inf + 0 21.453 * * [simplify]: Extracting #2: cost 5 inf + 0 21.453 * * [simplify]: Extracting #3: cost 8 inf + 0 21.453 * * [simplify]: Extracting #4: cost 12 inf + 0 21.453 * * [simplify]: Extracting #5: cost 10 inf + 2 21.453 * * [simplify]: Extracting #6: cost 1 inf + 936 21.453 * * [simplify]: Extracting #7: cost 0 inf + 1138 21.454 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 21.454 * [simplify]: Simplified (2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.454 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 21.454 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 21.454 * * * * [progress]: [ 44 / 68 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 21.454 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* re re) (* im im)))) 21.454 * * [simplify]: iters left: 6 (7 enodes) 21.456 * * [simplify]: iters left: 5 (19 enodes) 21.458 * * [simplify]: Extracting #0: cost 1 inf + 0 21.458 * * [simplify]: Extracting #1: cost 2 inf + 0 21.458 * * [simplify]: Extracting #2: cost 3 inf + 0 21.459 * * [simplify]: Extracting #3: cost 6 inf + 0 21.459 * * [simplify]: Extracting #4: cost 10 inf + 0 21.459 * * [simplify]: Extracting #5: cost 6 inf + 84 21.459 * * [simplify]: Extracting #6: cost 0 inf + 734 21.459 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 21.459 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 21.459 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 21.459 * [simplify]: Simplifying (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (exp re)) 21.459 * * [simplify]: iters left: 6 (16 enodes) 21.466 * * [simplify]: iters left: 5 (56 enodes) 21.482 * * [simplify]: iters left: 4 (68 enodes) 21.495 * * [simplify]: iters left: 3 (85 enodes) 21.508 * * [simplify]: iters left: 2 (122 enodes) 21.537 * * [simplify]: iters left: 1 (218 enodes) 21.594 * * [simplify]: Extracting #0: cost 1 inf + 0 21.595 * * [simplify]: Extracting #1: cost 42 inf + 0 21.595 * * [simplify]: Extracting #2: cost 118 inf + 0 21.595 * * [simplify]: Extracting #3: cost 149 inf + 3 21.596 * * [simplify]: Extracting #4: cost 154 inf + 148 21.596 * * [simplify]: Extracting #5: cost 160 inf + 148 21.597 * * [simplify]: Extracting #6: cost 163 inf + 189 21.597 * * [simplify]: Extracting #7: cost 153 inf + 1407 21.598 * * [simplify]: Extracting #8: cost 140 inf + 4510 21.600 * * [simplify]: Extracting #9: cost 120 inf + 13240 21.618 * * [simplify]: Extracting #10: cost 45 inf + 74849 21.646 * * [simplify]: Extracting #11: cost 2 inf + 122510 21.689 * * [simplify]: Extracting #12: cost 0 inf + 124685 21.718 * * [simplify]: Extracting #13: cost 0 inf + 124554 21.766 * [simplify]: Simplified to (exp (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 21.766 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 21.767 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 21.767 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 21.767 * [simplify]: Simplifying (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 21.767 * * [simplify]: iters left: 6 (15 enodes) 21.773 * * [simplify]: iters left: 5 (49 enodes) 21.786 * * [simplify]: Extracting #0: cost 1 inf + 0 21.787 * * [simplify]: Extracting #1: cost 3 inf + 0 21.787 * * [simplify]: Extracting #2: cost 6 inf + 0 21.787 * * [simplify]: Extracting #3: cost 8 inf + 1 21.787 * * [simplify]: Extracting #4: cost 12 inf + 1 21.787 * * [simplify]: Extracting #5: cost 17 inf + 1 21.787 * * [simplify]: Extracting #6: cost 23 inf + 1 21.787 * * [simplify]: Extracting #7: cost 26 inf + 42 21.787 * * [simplify]: Extracting #8: cost 21 inf + 409 21.788 * * [simplify]: Extracting #9: cost 13 inf + 1824 21.789 * * [simplify]: Extracting #10: cost 5 inf + 4560 21.791 * * [simplify]: Extracting #11: cost 1 inf + 6478 21.793 * * [simplify]: Extracting #12: cost 0 inf + 7070 21.796 * [simplify]: Simplified to (log (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 21.796 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 21.796 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 21.796 * [simplify]: Simplifying (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 21.796 * * [simplify]: iters left: 6 (15 enodes) 21.799 * * [simplify]: iters left: 5 (52 enodes) 21.806 * * [simplify]: iters left: 4 (61 enodes) 21.815 * * [simplify]: iters left: 3 (72 enodes) 21.828 * * [simplify]: iters left: 2 (100 enodes) 21.857 * * [simplify]: iters left: 1 (168 enodes) 21.895 * * [simplify]: Extracting #0: cost 1 inf + 0 21.895 * * [simplify]: Extracting #1: cost 24 inf + 0 21.896 * * [simplify]: Extracting #2: cost 86 inf + 0 21.896 * * [simplify]: Extracting #3: cost 114 inf + 73 21.897 * * [simplify]: Extracting #4: cost 116 inf + 148 21.897 * * [simplify]: Extracting #5: cost 122 inf + 148 21.898 * * [simplify]: Extracting #6: cost 125 inf + 189 21.899 * * [simplify]: Extracting #7: cost 113 inf + 1930 21.904 * * [simplify]: Extracting #8: cost 69 inf + 18525 21.921 * * [simplify]: Extracting #9: cost 20 inf + 57234 21.951 * * [simplify]: Extracting #10: cost 0 inf + 77809 21.970 * * [simplify]: Extracting #11: cost 0 inf + 77650 21.984 * [simplify]: Simplified to (exp (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 21.984 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 21.984 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 21.985 * [simplify]: Simplifying (* (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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))) 21.985 * * [simplify]: iters left: 6 (16 enodes) 21.988 * * [simplify]: iters left: 5 (52 enodes) 21.998 * * [simplify]: Extracting #0: cost 1 inf + 0 21.998 * * [simplify]: Extracting #1: cost 3 inf + 0 21.998 * * [simplify]: Extracting #2: cost 5 inf + 0 21.998 * * [simplify]: Extracting #3: cost 8 inf + 0 21.998 * * [simplify]: Extracting #4: cost 10 inf + 1 21.998 * * [simplify]: Extracting #5: cost 14 inf + 1 21.998 * * [simplify]: Extracting #6: cost 19 inf + 1 21.998 * * [simplify]: Extracting #7: cost 25 inf + 1 21.999 * * [simplify]: Extracting #8: cost 28 inf + 42 21.999 * * [simplify]: Extracting #9: cost 22 inf + 450 22.000 * * [simplify]: Extracting #10: cost 15 inf + 1824 22.001 * * [simplify]: Extracting #11: cost 7 inf + 4520 22.003 * * [simplify]: Extracting #12: cost 1 inf + 7732 22.006 * * [simplify]: Extracting #13: cost 0 inf + 8374 22.008 * [simplify]: Simplified to (* (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) 22.008 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* 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))))))) 22.009 * [simplify]: Simplifying (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 22.009 * * [simplify]: iters left: 6 (15 enodes) 22.015 * * [simplify]: iters left: 5 (49 enodes) 22.028 * * [simplify]: Extracting #0: cost 1 inf + 0 22.028 * * [simplify]: Extracting #1: cost 3 inf + 0 22.028 * * [simplify]: Extracting #2: cost 6 inf + 0 22.028 * * [simplify]: Extracting #3: cost 8 inf + 1 22.028 * * [simplify]: Extracting #4: cost 12 inf + 1 22.028 * * [simplify]: Extracting #5: cost 17 inf + 1 22.028 * * [simplify]: Extracting #6: cost 23 inf + 1 22.028 * * [simplify]: Extracting #7: cost 26 inf + 42 22.028 * * [simplify]: Extracting #8: cost 21 inf + 409 22.029 * * [simplify]: Extracting #9: cost 13 inf + 1824 22.030 * * [simplify]: Extracting #10: cost 5 inf + 4560 22.032 * * [simplify]: Extracting #11: cost 1 inf + 6488 22.034 * * [simplify]: Extracting #12: cost 0 inf + 7090 22.036 * [simplify]: Simplified to (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 22.036 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 22.037 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 22.037 * [simplify]: Simplifying (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 22.037 * * [simplify]: iters left: 6 (16 enodes) 22.044 * * [simplify]: iters left: 5 (65 enodes) 22.068 * * [simplify]: iters left: 4 (150 enodes) 22.143 * * [simplify]: iters left: 3 (432 enodes) 22.808 * * [simplify]: Extracting #0: cost 1 inf + 0 22.808 * * [simplify]: Extracting #1: cost 25 inf + 0 22.808 * * [simplify]: Extracting #2: cost 160 inf + 1 22.810 * * [simplify]: Extracting #3: cost 230 inf + 44 22.812 * * [simplify]: Extracting #4: cost 232 inf + 167 22.814 * * [simplify]: Extracting #5: cost 236 inf + 248 22.816 * * [simplify]: Extracting #6: cost 239 inf + 248 22.823 * * [simplify]: Extracting #7: cost 203 inf + 14419 22.861 * * [simplify]: Extracting #8: cost 45 inf + 107666 22.932 * * [simplify]: Extracting #9: cost 3 inf + 132670 23.006 * * [simplify]: Extracting #10: cost 0 inf + 134676 23.078 * [simplify]: Simplified to (* (* (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 23.078 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 23.079 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 23.079 * [simplify]: Simplifying (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 23.079 * * [simplify]: iters left: 6 (15 enodes) 23.085 * * [simplify]: iters left: 5 (49 enodes) 23.098 * * [simplify]: Extracting #0: cost 1 inf + 0 23.098 * * [simplify]: Extracting #1: cost 3 inf + 0 23.098 * * [simplify]: Extracting #2: cost 6 inf + 0 23.098 * * [simplify]: Extracting #3: cost 8 inf + 1 23.098 * * [simplify]: Extracting #4: cost 12 inf + 1 23.098 * * [simplify]: Extracting #5: cost 17 inf + 1 23.098 * * [simplify]: Extracting #6: cost 23 inf + 1 23.098 * * [simplify]: Extracting #7: cost 26 inf + 42 23.099 * * [simplify]: Extracting #8: cost 21 inf + 409 23.099 * * [simplify]: Extracting #9: cost 13 inf + 1824 23.100 * * [simplify]: Extracting #10: cost 5 inf + 4560 23.103 * * [simplify]: Extracting #11: cost 1 inf + 6448 23.105 * * [simplify]: Extracting #12: cost 0 inf + 7010 23.107 * [simplify]: Simplified to (sqrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 23.107 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))))) 23.108 * [simplify]: Simplifying (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 23.108 * * [simplify]: iters left: 6 (15 enodes) 23.116 * * [simplify]: iters left: 5 (49 enodes) 23.128 * * [simplify]: Extracting #0: cost 1 inf + 0 23.129 * * [simplify]: Extracting #1: cost 3 inf + 0 23.129 * * [simplify]: Extracting #2: cost 6 inf + 0 23.129 * * [simplify]: Extracting #3: cost 8 inf + 1 23.129 * * [simplify]: Extracting #4: cost 12 inf + 1 23.129 * * [simplify]: Extracting #5: cost 17 inf + 1 23.129 * * [simplify]: Extracting #6: cost 23 inf + 1 23.129 * * [simplify]: Extracting #7: cost 26 inf + 42 23.129 * * [simplify]: Extracting #8: cost 21 inf + 409 23.130 * * [simplify]: Extracting #9: cost 13 inf + 1824 23.131 * * [simplify]: Extracting #10: cost 5 inf + 4560 23.133 * * [simplify]: Extracting #11: cost 1 inf + 6448 23.135 * * [simplify]: Extracting #12: cost 0 inf + 7010 23.137 * [simplify]: Simplified to (sqrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 23.137 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) (sqrt (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 23.138 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 23.138 * [simplify]: Simplifying (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) 3) (pow re 3)) 23.138 * * [simplify]: iters left: 6 (17 enodes) 23.147 * * [simplify]: iters left: 5 (70 enodes) 23.173 * * [simplify]: iters left: 4 (128 enodes) 23.225 * * [simplify]: iters left: 3 (234 enodes) 23.304 * * [simplify]: iters left: 2 (451 enodes) 23.519 * * [simplify]: Extracting #0: cost 1 inf + 0 23.519 * * [simplify]: Extracting #1: cost 4 inf + 0 23.519 * * [simplify]: Extracting #2: cost 104 inf + 0 23.520 * * [simplify]: Extracting #3: cost 250 inf + 43 23.521 * * [simplify]: Extracting #4: cost 249 inf + 381 23.526 * * [simplify]: Extracting #5: cost 240 inf + 2873 23.531 * * [simplify]: Extracting #6: cost 179 inf + 28685 23.551 * * [simplify]: Extracting #7: cost 60 inf + 105643 23.589 * * [simplify]: Extracting #8: cost 1 inf + 159558 23.641 * * [simplify]: Extracting #9: cost 0 inf + 160924 23.707 * [simplify]: Simplified to (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* re (* re re))) 23.707 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* re (* re re))) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))))) 23.708 * [simplify]: Simplifying (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))) 23.708 * * [simplify]: iters left: 6 (17 enodes) 23.716 * * [simplify]: iters left: 5 (71 enodes) 23.738 * * [simplify]: iters left: 4 (115 enodes) 23.770 * * [simplify]: iters left: 3 (198 enodes) 23.816 * * [simplify]: iters left: 2 (295 enodes) 23.896 * * [simplify]: iters left: 1 (434 enodes) 24.061 * * [simplify]: Extracting #0: cost 1 inf + 0 24.061 * * [simplify]: Extracting #1: cost 14 inf + 0 24.062 * * [simplify]: Extracting #2: cost 81 inf + 0 24.062 * * [simplify]: Extracting #3: cost 121 inf + 42 24.063 * * [simplify]: Extracting #4: cost 121 inf + 205 24.063 * * [simplify]: Extracting #5: cost 122 inf + 246 24.064 * * [simplify]: Extracting #6: cost 113 inf + 1582 24.065 * * [simplify]: Extracting #7: cost 100 inf + 4727 24.073 * * [simplify]: Extracting #8: cost 36 inf + 32855 24.093 * * [simplify]: Extracting #9: cost 1 inf + 49885 24.109 * * [simplify]: Extracting #10: cost 0 inf + 50407 24.136 * [simplify]: Simplified to (- (* re re) (* (- re (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))))) 24.136 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* re (* re re))) (- (* re re) (* (- re (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))))))))) 24.136 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 24.137 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 24.137 * [simplify]: Simplifying (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (* re re)) 24.137 * * [simplify]: iters left: 6 (15 enodes) 24.144 * * [simplify]: iters left: 5 (60 enodes) 24.153 * * [simplify]: iters left: 4 (84 enodes) 24.166 * * [simplify]: iters left: 3 (119 enodes) 24.194 * * [simplify]: iters left: 2 (199 enodes) 24.238 * * [simplify]: iters left: 1 (330 enodes) 24.338 * * [simplify]: Extracting #0: cost 1 inf + 0 24.338 * * [simplify]: Extracting #1: cost 22 inf + 0 24.338 * * [simplify]: Extracting #2: cost 87 inf + 0 24.339 * * [simplify]: Extracting #3: cost 110 inf + 42 24.339 * * [simplify]: Extracting #4: cost 109 inf + 246 24.340 * * [simplify]: Extracting #5: cost 110 inf + 327 24.341 * * [simplify]: Extracting #6: cost 101 inf + 1582 24.346 * * [simplify]: Extracting #7: cost 45 inf + 26854 24.362 * * [simplify]: Extracting #8: cost 1 inf + 51342 24.379 * * [simplify]: Extracting #9: cost 0 inf + 51824 24.398 * [simplify]: Simplified to (- (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (* re re)) 24.398 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (* re re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))) 24.399 * [simplify]: Simplifying (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re) 24.399 * * [simplify]: iters left: 6 (14 enodes) 24.402 * * [simplify]: iters left: 5 (47 enodes) 24.412 * * [simplify]: iters left: 4 (50 enodes) 24.425 * * [simplify]: Extracting #0: cost 1 inf + 0 24.425 * * [simplify]: Extracting #1: cost 5 inf + 0 24.425 * * [simplify]: Extracting #2: cost 7 inf + 42 24.426 * * [simplify]: Extracting #3: cost 10 inf + 83 24.426 * * [simplify]: Extracting #4: cost 15 inf + 83 24.426 * * [simplify]: Extracting #5: cost 21 inf + 83 24.426 * * [simplify]: Extracting #6: cost 24 inf + 124 24.426 * * [simplify]: Extracting #7: cost 17 inf + 694 24.427 * * [simplify]: Extracting #8: cost 10 inf + 2108 24.428 * * [simplify]: Extracting #9: cost 2 inf + 4964 24.429 * * [simplify]: Extracting #10: cost 0 inf + 5968 24.430 * [simplify]: Simplified to (- (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 24.430 * [simplify]: Simplified (2 2 1 2 2) 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))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (* re re)) (- (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) 24.431 * * * * [progress]: [ 55 / 68 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))))> 24.431 * [simplify]: Simplifying (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)) 24.431 * * [simplify]: iters left: 6 (15 enodes) 24.434 * * [simplify]: iters left: 5 (46 enodes) 24.440 * * [simplify]: Extracting #0: cost 1 inf + 0 24.440 * * [simplify]: Extracting #1: cost 2 inf + 0 24.440 * * [simplify]: Extracting #2: cost 4 inf + 0 24.440 * * [simplify]: Extracting #3: cost 6 inf + 1 24.440 * * [simplify]: Extracting #4: cost 10 inf + 1 24.440 * * [simplify]: Extracting #5: cost 15 inf + 1 24.440 * * [simplify]: Extracting #6: cost 21 inf + 1 24.440 * * [simplify]: Extracting #7: cost 24 inf + 42 24.441 * * [simplify]: Extracting #8: cost 18 inf + 450 24.441 * * [simplify]: Extracting #9: cost 12 inf + 1622 24.441 * * [simplify]: Extracting #10: cost 4 inf + 4198 24.442 * * [simplify]: Extracting #11: cost 0 inf + 5886 24.443 * [simplify]: Simplified to (real->posit16 (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) 24.444 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (* (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 24.444 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 24.444 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 24.444 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 24.445 * * [simplify]: iters left: 6 (15 enodes) 24.451 * * [simplify]: iters left: 5 (67 enodes) 24.465 * * [simplify]: iters left: 4 (129 enodes) 24.507 * * [simplify]: iters left: 3 (255 enodes) 24.609 * * [simplify]: Extracting #0: cost 1 inf + 0 24.609 * * [simplify]: Extracting #1: cost 4 inf + 0 24.609 * * [simplify]: Extracting #2: cost 47 inf + 0 24.610 * * [simplify]: Extracting #3: cost 108 inf + 169 24.611 * * [simplify]: Extracting #4: cost 105 inf + 844 24.615 * * [simplify]: Extracting #5: cost 101 inf + 2390 24.619 * * [simplify]: Extracting #6: cost 55 inf + 17682 24.631 * * [simplify]: Extracting #7: cost 6 inf + 43702 24.645 * * [simplify]: Extracting #8: cost 0 inf + 47696 24.658 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 24.658 * [simplify]: Simplified (2 2 1 2 1 2 1 2 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 (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))))))) re))))) 24.659 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 24.659 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 24.659 * * [simplify]: iters left: 3 (5 enodes) 24.663 * * [simplify]: iters left: 2 (22 enodes) 24.672 * * [simplify]: iters left: 1 (38 enodes) 24.687 * * [simplify]: Extracting #0: cost 1 inf + 0 24.687 * * [simplify]: Extracting #1: cost 9 inf + 0 24.687 * * [simplify]: Extracting #2: cost 16 inf + 1 24.687 * * [simplify]: Extracting #3: cost 13 inf + 5 24.687 * * [simplify]: Extracting #4: cost 6 inf + 1102 24.688 * * [simplify]: Extracting #5: cost 0 inf + 3162 24.688 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 24.688 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ 1 re) -2/3))))) re))))) 24.689 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 24.689 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 24.689 * * [simplify]: iters left: 3 (5 enodes) 24.692 * * [simplify]: iters left: 2 (20 enodes) 24.700 * * [simplify]: iters left: 1 (34 enodes) 24.709 * * [simplify]: Extracting #0: cost 1 inf + 0 24.709 * * [simplify]: Extracting #1: cost 9 inf + 0 24.709 * * [simplify]: Extracting #2: cost 16 inf + 1 24.709 * * [simplify]: Extracting #3: cost 13 inf + 5 24.709 * * [simplify]: Extracting #4: cost 4 inf + 1648 24.709 * * [simplify]: Extracting #5: cost 0 inf + 3162 24.710 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 24.710 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ -1 re) -2/3))))) re))))) 24.710 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 24.710 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 24.710 * * [simplify]: iters left: 6 (15 enodes) 24.716 * * [simplify]: iters left: 5 (67 enodes) 24.731 * * [simplify]: iters left: 4 (129 enodes) 24.759 * * [simplify]: iters left: 3 (255 enodes) 24.816 * * [simplify]: Extracting #0: cost 1 inf + 0 24.816 * * [simplify]: Extracting #1: cost 4 inf + 0 24.816 * * [simplify]: Extracting #2: cost 47 inf + 0 24.817 * * [simplify]: Extracting #3: cost 108 inf + 169 24.817 * * [simplify]: Extracting #4: cost 105 inf + 844 24.818 * * [simplify]: Extracting #5: cost 101 inf + 2390 24.820 * * [simplify]: Extracting #6: cost 55 inf + 17682 24.826 * * [simplify]: Extracting #7: cost 6 inf + 43702 24.833 * * [simplify]: Extracting #8: cost 0 inf + 47696 24.840 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 24.840 * [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)))) (sqrt (* (fabs (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.841 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 24.841 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 24.841 * * [simplify]: iters left: 3 (5 enodes) 24.843 * * [simplify]: iters left: 2 (22 enodes) 24.848 * * [simplify]: iters left: 1 (38 enodes) 24.864 * * [simplify]: Extracting #0: cost 1 inf + 0 24.864 * * [simplify]: Extracting #1: cost 9 inf + 0 24.864 * * [simplify]: Extracting #2: cost 16 inf + 1 24.864 * * [simplify]: Extracting #3: cost 13 inf + 5 24.864 * * [simplify]: Extracting #4: cost 6 inf + 1102 24.865 * * [simplify]: Extracting #5: cost 0 inf + 3162 24.865 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 24.865 * [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)))) (sqrt (* (fabs (pow (/ 1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.866 * * * * [progress]: [ 62 / 68 ] simplifiying candidate # 24.866 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 24.866 * * [simplify]: iters left: 3 (5 enodes) 24.869 * * [simplify]: iters left: 2 (20 enodes) 24.878 * * [simplify]: iters left: 1 (34 enodes) 24.891 * * [simplify]: Extracting #0: cost 1 inf + 0 24.891 * * [simplify]: Extracting #1: cost 9 inf + 0 24.892 * * [simplify]: Extracting #2: cost 16 inf + 1 24.892 * * [simplify]: Extracting #3: cost 13 inf + 5 24.892 * * [simplify]: Extracting #4: cost 4 inf + 1648 24.892 * * [simplify]: Extracting #5: cost 0 inf + 3162 24.893 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 24.893 * [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)))) (sqrt (* (fabs (pow (/ -1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.893 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 24.894 * [simplify]: Simplifying im 24.894 * * [simplify]: iters left: 0 (1 enodes) 24.894 * * [simplify]: Extracting #0: cost 1 inf + 0 24.894 * * [simplify]: Extracting #1: cost 0 inf + 1 24.894 * [simplify]: Simplified to im 24.894 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt im) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.894 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 24.895 * [simplify]: Simplifying re 24.895 * * [simplify]: iters left: 0 (1 enodes) 24.895 * * [simplify]: Extracting #0: cost 1 inf + 0 24.895 * * [simplify]: Extracting #1: cost 0 inf + 1 24.895 * [simplify]: Simplified to re 24.895 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt re) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.895 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 24.896 * [simplify]: Simplifying (* -1 re) 24.896 * * [simplify]: iters left: 2 (3 enodes) 24.897 * * [simplify]: iters left: 1 (11 enodes) 24.898 * * [simplify]: Extracting #0: cost 1 inf + 0 24.898 * * [simplify]: Extracting #1: cost 4 inf + 0 24.898 * * [simplify]: Extracting #2: cost 0 inf + 84 24.898 * [simplify]: Simplified to (- re) 24.898 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (- re)) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 24.899 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 24.899 * [simplify]: Simplifying (+ re (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)))) 24.899 * * [simplify]: iters left: 6 (22 enodes) 24.906 * * [simplify]: iters left: 5 (102 enodes) 24.929 * * [simplify]: iters left: 4 (186 enodes) 25.005 * * [simplify]: iters left: 3 (426 enodes) 25.214 * * [simplify]: Extracting #0: cost 1 inf + 0 25.214 * * [simplify]: Extracting #1: cost 8 inf + 0 25.214 * * [simplify]: Extracting #2: cost 86 inf + 1 25.216 * * [simplify]: Extracting #3: cost 224 inf + 43 25.218 * * [simplify]: Extracting #4: cost 226 inf + 256 25.220 * * [simplify]: Extracting #5: cost 223 inf + 2507 25.228 * * [simplify]: Extracting #6: cost 171 inf + 24845 25.244 * * [simplify]: Extracting #7: cost 105 inf + 59626 25.266 * * [simplify]: Extracting #8: cost 12 inf + 121479 25.288 * * [simplify]: Extracting #9: cost 0 inf + 130639 25.319 * [simplify]: Simplified to (+ (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (+ (cbrt (* im im)) (* (* (* re re) 1/3) (cbrt (/ (/ 1 (* im im)) (* im im)))))) re) 25.319 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (+ (cbrt (* im im)) (* (* (* re re) 1/3) (cbrt (/ (/ 1 (* im im)) (* im im)))))) re))))) 25.320 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 25.320 * [simplify]: Simplifying (+ re (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) 25.320 * * [simplify]: iters left: 6 (13 enodes) 25.329 * * [simplify]: iters left: 5 (58 enodes) 25.350 * * [simplify]: iters left: 4 (87 enodes) 25.376 * * [simplify]: iters left: 3 (158 enodes) 25.418 * * [simplify]: iters left: 2 (292 enodes) 25.516 * * [simplify]: Extracting #0: cost 1 inf + 0 25.516 * * [simplify]: Extracting #1: cost 4 inf + 0 25.516 * * [simplify]: Extracting #2: cost 29 inf + 1 25.516 * * [simplify]: Extracting #3: cost 82 inf + 1 25.517 * * [simplify]: Extracting #4: cost 73 inf + 1762 25.519 * * [simplify]: Extracting #5: cost 64 inf + 9632 25.522 * * [simplify]: Extracting #6: cost 78 inf + 13576 25.524 * * [simplify]: Extracting #7: cost 80 inf + 13456 25.528 * * [simplify]: Extracting #8: cost 74 inf + 14397 25.536 * * [simplify]: Extracting #9: cost 26 inf + 41334 25.549 * * [simplify]: Extracting #10: cost 6 inf + 56582 25.564 * * [simplify]: Extracting #11: cost 0 inf + 61050 25.578 * [simplify]: Simplified to (+ re (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))) 25.578 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))))))) 25.578 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 25.579 * [simplify]: Simplifying (+ re (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) 25.579 * * [simplify]: iters left: 6 (13 enodes) 25.586 * * [simplify]: iters left: 5 (58 enodes) 25.609 * * [simplify]: iters left: 4 (87 enodes) 25.627 * * [simplify]: iters left: 3 (158 enodes) 25.668 * * [simplify]: iters left: 2 (292 enodes) 25.765 * * [simplify]: Extracting #0: cost 1 inf + 0 25.765 * * [simplify]: Extracting #1: cost 4 inf + 0 25.765 * * [simplify]: Extracting #2: cost 29 inf + 1 25.766 * * [simplify]: Extracting #3: cost 82 inf + 1 25.766 * * [simplify]: Extracting #4: cost 73 inf + 1762 25.767 * * [simplify]: Extracting #5: cost 64 inf + 9632 25.768 * * [simplify]: Extracting #6: cost 78 inf + 13576 25.770 * * [simplify]: Extracting #7: cost 80 inf + 13456 25.771 * * [simplify]: Extracting #8: cost 74 inf + 14397 25.776 * * [simplify]: Extracting #9: cost 26 inf + 41334 25.789 * * [simplify]: Extracting #10: cost 6 inf + 56582 25.798 * * [simplify]: Extracting #11: cost 0 inf + 61050 25.808 * [simplify]: Simplified to (+ re (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))) 25.808 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))))))) 25.808 * * * [progress]: adding candidates to table 27.101 * * [progress]: iteration 4 / 4 27.101 * * * [progress]: picking best candidate 27.163 * * * * [pick]: Picked # 27.163 * * * [progress]: localizing error 27.215 * * * [progress]: generating rewritten candidates 27.215 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 27.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 27.244 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 27.282 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 27.361 * * * [progress]: generating series expansions 27.361 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 27.361 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 27.362 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 27.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 27.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.362 * [taylor]: Taking taylor expansion of 2.0 in im 27.362 * [backup-simplify]: Simplify 2.0 into 2.0 27.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.363 * [taylor]: Taking taylor expansion of im in im 27.363 * [backup-simplify]: Simplify 0 into 0 27.363 * [backup-simplify]: Simplify 1 into 1 27.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 27.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.363 * [taylor]: Taking taylor expansion of 2.0 in im 27.363 * [backup-simplify]: Simplify 2.0 into 2.0 27.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.365 * [taylor]: Taking taylor expansion of im in im 27.365 * [backup-simplify]: Simplify 0 into 0 27.365 * [backup-simplify]: Simplify 1 into 1 27.365 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 27.365 * [backup-simplify]: Simplify 0 into 0 27.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 27.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 27.370 * [backup-simplify]: Simplify 0 into 0 27.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.373 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.373 * [backup-simplify]: Simplify 0 into 0 27.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.376 * [backup-simplify]: Simplify 0 into 0 27.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 27.378 * [backup-simplify]: Simplify 0 into 0 27.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 27.382 * [backup-simplify]: Simplify 0 into 0 27.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 27.385 * [backup-simplify]: Simplify 0 into 0 27.386 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 27.386 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 27.386 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 27.386 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.386 * [taylor]: Taking taylor expansion of 2.0 in im 27.386 * [backup-simplify]: Simplify 2.0 into 2.0 27.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.387 * [taylor]: Taking taylor expansion of im in im 27.387 * [backup-simplify]: Simplify 0 into 0 27.387 * [backup-simplify]: Simplify 1 into 1 27.388 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.389 * [taylor]: Taking taylor expansion of 2.0 in im 27.389 * [backup-simplify]: Simplify 2.0 into 2.0 27.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.390 * [taylor]: Taking taylor expansion of im in im 27.390 * [backup-simplify]: Simplify 0 into 0 27.390 * [backup-simplify]: Simplify 1 into 1 27.391 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.392 * [backup-simplify]: Simplify 0 into 0 27.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.394 * [backup-simplify]: Simplify 0 into 0 27.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.397 * [backup-simplify]: Simplify 0 into 0 27.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.400 * [backup-simplify]: Simplify 0 into 0 27.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.402 * [backup-simplify]: Simplify 0 into 0 27.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.405 * [backup-simplify]: Simplify 0 into 0 27.405 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 27.406 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 27.406 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 27.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.406 * [taylor]: Taking taylor expansion of 2.0 in im 27.406 * [backup-simplify]: Simplify 2.0 into 2.0 27.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.407 * [taylor]: Taking taylor expansion of im in im 27.407 * [backup-simplify]: Simplify 0 into 0 27.407 * [backup-simplify]: Simplify 1 into 1 27.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.408 * [taylor]: Taking taylor expansion of 2.0 in im 27.408 * [backup-simplify]: Simplify 2.0 into 2.0 27.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.409 * [taylor]: Taking taylor expansion of im in im 27.409 * [backup-simplify]: Simplify 0 into 0 27.409 * [backup-simplify]: Simplify 1 into 1 27.410 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.413 * [backup-simplify]: Simplify 0 into 0 27.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.415 * [backup-simplify]: Simplify 0 into 0 27.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.418 * [backup-simplify]: Simplify 0 into 0 27.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.421 * [backup-simplify]: Simplify 0 into 0 27.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.423 * [backup-simplify]: Simplify 0 into 0 27.425 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.426 * [backup-simplify]: Simplify 0 into 0 27.426 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 27.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 27.427 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 27.427 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 27.427 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 27.427 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 27.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.427 * [taylor]: Taking taylor expansion of im in im 27.427 * [backup-simplify]: Simplify 0 into 0 27.427 * [backup-simplify]: Simplify 1 into 1 27.427 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.427 * [taylor]: Taking taylor expansion of re in im 27.427 * [backup-simplify]: Simplify re into re 27.427 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.427 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 27.427 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 27.427 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 27.428 * [backup-simplify]: Simplify (+ 0 0) into 0 27.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 27.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 27.428 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 27.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.428 * [taylor]: Taking taylor expansion of im in re 27.428 * [backup-simplify]: Simplify im into im 27.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.428 * [taylor]: Taking taylor expansion of re in re 27.428 * [backup-simplify]: Simplify 0 into 0 27.428 * [backup-simplify]: Simplify 1 into 1 27.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.428 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 27.428 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 27.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.429 * [backup-simplify]: Simplify (+ 0 0) into 0 27.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 27.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 27.429 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 27.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.429 * [taylor]: Taking taylor expansion of im in re 27.429 * [backup-simplify]: Simplify im into im 27.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.429 * [taylor]: Taking taylor expansion of re in re 27.429 * [backup-simplify]: Simplify 0 into 0 27.429 * [backup-simplify]: Simplify 1 into 1 27.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.429 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 27.429 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 27.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.430 * [backup-simplify]: Simplify (+ 0 0) into 0 27.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 27.430 * [taylor]: Taking taylor expansion of im in im 27.430 * [backup-simplify]: Simplify 0 into 0 27.430 * [backup-simplify]: Simplify 1 into 1 27.430 * [backup-simplify]: Simplify 0 into 0 27.430 * [taylor]: Taking taylor expansion of 0 in im 27.430 * [backup-simplify]: Simplify 0 into 0 27.430 * [backup-simplify]: Simplify 0 into 0 27.430 * [backup-simplify]: Simplify 1 into 1 27.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 27.431 * [backup-simplify]: Simplify (* 1 1) into 1 27.431 * [backup-simplify]: Simplify (+ 0 1) into 1 27.432 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 27.432 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 27.432 * [taylor]: Taking taylor expansion of 1/2 in im 27.432 * [backup-simplify]: Simplify 1/2 into 1/2 27.432 * [taylor]: Taking taylor expansion of im in im 27.432 * [backup-simplify]: Simplify 0 into 0 27.432 * [backup-simplify]: Simplify 1 into 1 27.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 27.434 * [backup-simplify]: Simplify 0 into 0 27.434 * [backup-simplify]: Simplify 0 into 0 27.434 * [backup-simplify]: Simplify 0 into 0 27.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 27.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.435 * [backup-simplify]: Simplify (+ 0 0) into 0 27.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 27.436 * [taylor]: Taking taylor expansion of 0 in im 27.436 * [backup-simplify]: Simplify 0 into 0 27.436 * [backup-simplify]: Simplify 0 into 0 27.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.437 * [backup-simplify]: Simplify 0 into 0 27.437 * [backup-simplify]: Simplify 0 into 0 27.437 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 27.437 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 27.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 27.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.437 * [taylor]: Taking taylor expansion of re in im 27.437 * [backup-simplify]: Simplify re into re 27.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.438 * [taylor]: Taking taylor expansion of im in im 27.438 * [backup-simplify]: Simplify 0 into 0 27.438 * [backup-simplify]: Simplify 1 into 1 27.438 * [backup-simplify]: Simplify (* 1 1) into 1 27.438 * [backup-simplify]: Simplify (/ 1 1) into 1 27.439 * [backup-simplify]: Simplify (+ 0 1) into 1 27.439 * [backup-simplify]: Simplify (sqrt 1) into 1 27.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.441 * [backup-simplify]: Simplify (+ 0 0) into 0 27.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.442 * [taylor]: Taking taylor expansion of re in re 27.442 * [backup-simplify]: Simplify 0 into 0 27.442 * [backup-simplify]: Simplify 1 into 1 27.442 * [backup-simplify]: Simplify (* 1 1) into 1 27.442 * [backup-simplify]: Simplify (/ 1 1) into 1 27.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.443 * [taylor]: Taking taylor expansion of im in re 27.443 * [backup-simplify]: Simplify im into im 27.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.443 * [backup-simplify]: Simplify (+ 1 0) into 1 27.444 * [backup-simplify]: Simplify (sqrt 1) into 1 27.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.445 * [backup-simplify]: Simplify (+ 0 0) into 0 27.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.446 * [taylor]: Taking taylor expansion of re in re 27.447 * [backup-simplify]: Simplify 0 into 0 27.447 * [backup-simplify]: Simplify 1 into 1 27.447 * [backup-simplify]: Simplify (* 1 1) into 1 27.447 * [backup-simplify]: Simplify (/ 1 1) into 1 27.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.447 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.447 * [taylor]: Taking taylor expansion of im in re 27.447 * [backup-simplify]: Simplify im into im 27.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.448 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.448 * [backup-simplify]: Simplify (+ 1 0) into 1 27.448 * [backup-simplify]: Simplify (sqrt 1) into 1 27.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.450 * [backup-simplify]: Simplify (+ 0 0) into 0 27.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.451 * [taylor]: Taking taylor expansion of 1 in im 27.451 * [backup-simplify]: Simplify 1 into 1 27.451 * [taylor]: Taking taylor expansion of 0 in im 27.451 * [backup-simplify]: Simplify 0 into 0 27.451 * [backup-simplify]: Simplify 1 into 1 27.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.453 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 27.454 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 27.454 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 27.454 * [taylor]: Taking taylor expansion of 1/2 in im 27.454 * [backup-simplify]: Simplify 1/2 into 1/2 27.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.454 * [taylor]: Taking taylor expansion of im in im 27.454 * [backup-simplify]: Simplify 0 into 0 27.454 * [backup-simplify]: Simplify 1 into 1 27.455 * [backup-simplify]: Simplify (* 1 1) into 1 27.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 27.457 * [backup-simplify]: Simplify 0 into 0 27.457 * [backup-simplify]: Simplify 0 into 0 27.457 * [backup-simplify]: Simplify 0 into 0 27.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.459 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 27.459 * [backup-simplify]: Simplify (+ 0 0) into 0 27.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 27.460 * [taylor]: Taking taylor expansion of 0 in im 27.460 * [backup-simplify]: Simplify 0 into 0 27.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.462 * [backup-simplify]: Simplify 0 into 0 27.462 * [backup-simplify]: Simplify 0 into 0 27.462 * [backup-simplify]: Simplify 0 into 0 27.462 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 27.462 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 27.462 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 27.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.463 * [taylor]: Taking taylor expansion of re in im 27.463 * [backup-simplify]: Simplify re into re 27.463 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.463 * [taylor]: Taking taylor expansion of im in im 27.463 * [backup-simplify]: Simplify 0 into 0 27.463 * [backup-simplify]: Simplify 1 into 1 27.463 * [backup-simplify]: Simplify (* 1 1) into 1 27.464 * [backup-simplify]: Simplify (/ 1 1) into 1 27.464 * [backup-simplify]: Simplify (+ 0 1) into 1 27.465 * [backup-simplify]: Simplify (sqrt 1) into 1 27.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.466 * [backup-simplify]: Simplify (+ 0 0) into 0 27.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.467 * [taylor]: Taking taylor expansion of re in re 27.467 * [backup-simplify]: Simplify 0 into 0 27.467 * [backup-simplify]: Simplify 1 into 1 27.468 * [backup-simplify]: Simplify (* 1 1) into 1 27.468 * [backup-simplify]: Simplify (/ 1 1) into 1 27.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.468 * [taylor]: Taking taylor expansion of im in re 27.468 * [backup-simplify]: Simplify im into im 27.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.469 * [backup-simplify]: Simplify (+ 1 0) into 1 27.469 * [backup-simplify]: Simplify (sqrt 1) into 1 27.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.471 * [backup-simplify]: Simplify (+ 0 0) into 0 27.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.472 * [taylor]: Taking taylor expansion of re in re 27.472 * [backup-simplify]: Simplify 0 into 0 27.472 * [backup-simplify]: Simplify 1 into 1 27.472 * [backup-simplify]: Simplify (* 1 1) into 1 27.472 * [backup-simplify]: Simplify (/ 1 1) into 1 27.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.473 * [taylor]: Taking taylor expansion of im in re 27.473 * [backup-simplify]: Simplify im into im 27.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.473 * [backup-simplify]: Simplify (+ 1 0) into 1 27.474 * [backup-simplify]: Simplify (sqrt 1) into 1 27.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.475 * [backup-simplify]: Simplify (+ 0 0) into 0 27.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.476 * [taylor]: Taking taylor expansion of 1 in im 27.476 * [backup-simplify]: Simplify 1 into 1 27.476 * [taylor]: Taking taylor expansion of 0 in im 27.476 * [backup-simplify]: Simplify 0 into 0 27.476 * [backup-simplify]: Simplify 1 into 1 27.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.479 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 27.480 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 27.480 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 27.480 * [taylor]: Taking taylor expansion of 1/2 in im 27.480 * [backup-simplify]: Simplify 1/2 into 1/2 27.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.480 * [taylor]: Taking taylor expansion of im in im 27.480 * [backup-simplify]: Simplify 0 into 0 27.480 * [backup-simplify]: Simplify 1 into 1 27.480 * [backup-simplify]: Simplify (* 1 1) into 1 27.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 27.481 * [backup-simplify]: Simplify 0 into 0 27.481 * [backup-simplify]: Simplify 0 into 0 27.481 * [backup-simplify]: Simplify 0 into 0 27.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 27.483 * [backup-simplify]: Simplify (+ 0 0) into 0 27.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 27.483 * [taylor]: Taking taylor expansion of 0 in im 27.483 * [backup-simplify]: Simplify 0 into 0 27.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.484 * [backup-simplify]: Simplify 0 into 0 27.484 * [backup-simplify]: Simplify 0 into 0 27.484 * [backup-simplify]: Simplify 0 into 0 27.485 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 27.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 27.485 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 27.485 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 27.485 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 27.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 27.485 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 27.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.485 * [taylor]: Taking taylor expansion of im in im 27.485 * [backup-simplify]: Simplify 0 into 0 27.485 * [backup-simplify]: Simplify 1 into 1 27.485 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.485 * [taylor]: Taking taylor expansion of re in im 27.485 * [backup-simplify]: Simplify re into re 27.485 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.485 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 27.485 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 27.485 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 27.485 * [backup-simplify]: Simplify (+ 0 0) into 0 27.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 27.485 * [taylor]: Taking taylor expansion of re in im 27.485 * [backup-simplify]: Simplify re into re 27.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 27.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 27.486 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 27.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.486 * [taylor]: Taking taylor expansion of im in re 27.486 * [backup-simplify]: Simplify im into im 27.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.486 * [taylor]: Taking taylor expansion of re in re 27.486 * [backup-simplify]: Simplify 0 into 0 27.486 * [backup-simplify]: Simplify 1 into 1 27.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.486 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 27.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 27.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.486 * [backup-simplify]: Simplify (+ 0 0) into 0 27.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 27.486 * [taylor]: Taking taylor expansion of re in re 27.486 * [backup-simplify]: Simplify 0 into 0 27.486 * [backup-simplify]: Simplify 1 into 1 27.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 27.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 27.486 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 27.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.486 * [taylor]: Taking taylor expansion of im in re 27.486 * [backup-simplify]: Simplify im into im 27.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.486 * [taylor]: Taking taylor expansion of re in re 27.486 * [backup-simplify]: Simplify 0 into 0 27.486 * [backup-simplify]: Simplify 1 into 1 27.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.486 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 27.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 27.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.487 * [backup-simplify]: Simplify (+ 0 0) into 0 27.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 27.487 * [taylor]: Taking taylor expansion of re in re 27.487 * [backup-simplify]: Simplify 0 into 0 27.487 * [backup-simplify]: Simplify 1 into 1 27.487 * [backup-simplify]: Simplify (- 0) into 0 27.487 * [backup-simplify]: Simplify (+ im 0) into im 27.487 * [taylor]: Taking taylor expansion of im in im 27.487 * [backup-simplify]: Simplify 0 into 0 27.487 * [backup-simplify]: Simplify 1 into 1 27.487 * [backup-simplify]: Simplify 0 into 0 27.488 * [backup-simplify]: Simplify (- 1) into -1 27.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 27.488 * [taylor]: Taking taylor expansion of -1 in im 27.488 * [backup-simplify]: Simplify -1 into -1 27.488 * [backup-simplify]: Simplify -1 into -1 27.488 * [backup-simplify]: Simplify 1 into 1 27.488 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 27.488 * [backup-simplify]: Simplify (* 1 1) into 1 27.489 * [backup-simplify]: Simplify (+ 0 1) into 1 27.489 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 27.489 * [backup-simplify]: Simplify (- 0) into 0 27.490 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 27.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 27.490 * [taylor]: Taking taylor expansion of 1/2 in im 27.490 * [backup-simplify]: Simplify 1/2 into 1/2 27.490 * [taylor]: Taking taylor expansion of (/ 1 im) in im 27.490 * [taylor]: Taking taylor expansion of im in im 27.490 * [backup-simplify]: Simplify 0 into 0 27.490 * [backup-simplify]: Simplify 1 into 1 27.490 * [backup-simplify]: Simplify (/ 1 1) into 1 27.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.491 * [backup-simplify]: Simplify 0 into 0 27.491 * [backup-simplify]: Simplify 0 into 0 27.491 * [backup-simplify]: Simplify 0 into 0 27.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 27.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.492 * [backup-simplify]: Simplify (+ 0 0) into 0 27.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 27.493 * [backup-simplify]: Simplify (- 0) into 0 27.493 * [backup-simplify]: Simplify (+ 0 0) into 0 27.493 * [taylor]: Taking taylor expansion of 0 in im 27.493 * [backup-simplify]: Simplify 0 into 0 27.493 * [backup-simplify]: Simplify 0 into 0 27.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 27.498 * [backup-simplify]: Simplify 0 into 0 27.498 * [backup-simplify]: Simplify 0 into 0 27.499 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 27.499 * [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)) 27.499 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 27.499 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 27.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.499 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.499 * [taylor]: Taking taylor expansion of re in im 27.499 * [backup-simplify]: Simplify re into re 27.499 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.499 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.499 * [taylor]: Taking taylor expansion of im in im 27.499 * [backup-simplify]: Simplify 0 into 0 27.499 * [backup-simplify]: Simplify 1 into 1 27.499 * [backup-simplify]: Simplify (* 1 1) into 1 27.500 * [backup-simplify]: Simplify (/ 1 1) into 1 27.500 * [backup-simplify]: Simplify (+ 0 1) into 1 27.500 * [backup-simplify]: Simplify (sqrt 1) into 1 27.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.501 * [backup-simplify]: Simplify (+ 0 0) into 0 27.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.502 * [taylor]: Taking taylor expansion of re in im 27.502 * [backup-simplify]: Simplify re into re 27.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 27.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.502 * [taylor]: Taking taylor expansion of re in re 27.502 * [backup-simplify]: Simplify 0 into 0 27.502 * [backup-simplify]: Simplify 1 into 1 27.502 * [backup-simplify]: Simplify (* 1 1) into 1 27.502 * [backup-simplify]: Simplify (/ 1 1) into 1 27.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.502 * [taylor]: Taking taylor expansion of im in re 27.502 * [backup-simplify]: Simplify im into im 27.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.503 * [backup-simplify]: Simplify (+ 1 0) into 1 27.503 * [backup-simplify]: Simplify (sqrt 1) into 1 27.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.504 * [backup-simplify]: Simplify (+ 0 0) into 0 27.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.504 * [taylor]: Taking taylor expansion of re in re 27.504 * [backup-simplify]: Simplify 0 into 0 27.505 * [backup-simplify]: Simplify 1 into 1 27.505 * [backup-simplify]: Simplify (/ 1 1) into 1 27.505 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 27.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.505 * [taylor]: Taking taylor expansion of re in re 27.505 * [backup-simplify]: Simplify 0 into 0 27.505 * [backup-simplify]: Simplify 1 into 1 27.505 * [backup-simplify]: Simplify (* 1 1) into 1 27.505 * [backup-simplify]: Simplify (/ 1 1) into 1 27.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.505 * [taylor]: Taking taylor expansion of im in re 27.505 * [backup-simplify]: Simplify im into im 27.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.506 * [backup-simplify]: Simplify (+ 1 0) into 1 27.506 * [backup-simplify]: Simplify (sqrt 1) into 1 27.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.507 * [backup-simplify]: Simplify (+ 0 0) into 0 27.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.508 * [taylor]: Taking taylor expansion of re in re 27.508 * [backup-simplify]: Simplify 0 into 0 27.508 * [backup-simplify]: Simplify 1 into 1 27.508 * [backup-simplify]: Simplify (/ 1 1) into 1 27.508 * [backup-simplify]: Simplify (- 1) into -1 27.509 * [backup-simplify]: Simplify (+ 1 -1) into 0 27.509 * [taylor]: Taking taylor expansion of 0 in im 27.509 * [backup-simplify]: Simplify 0 into 0 27.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.509 * [backup-simplify]: Simplify (- 0) into 0 27.509 * [backup-simplify]: Simplify (+ 0 0) into 0 27.510 * [taylor]: Taking taylor expansion of 0 in im 27.510 * [backup-simplify]: Simplify 0 into 0 27.510 * [backup-simplify]: Simplify 0 into 0 27.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.511 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 27.511 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 27.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.512 * [backup-simplify]: Simplify (- 0) into 0 27.512 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 27.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 27.512 * [taylor]: Taking taylor expansion of 1/2 in im 27.512 * [backup-simplify]: Simplify 1/2 into 1/2 27.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.512 * [taylor]: Taking taylor expansion of im in im 27.512 * [backup-simplify]: Simplify 0 into 0 27.512 * [backup-simplify]: Simplify 1 into 1 27.513 * [backup-simplify]: Simplify (* 1 1) into 1 27.513 * [backup-simplify]: Simplify (/ 1 1) into 1 27.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.514 * [backup-simplify]: Simplify 0 into 0 27.514 * [backup-simplify]: Simplify 0 into 0 27.514 * [backup-simplify]: Simplify 0 into 0 27.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.515 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 27.516 * [backup-simplify]: Simplify (+ 0 0) into 0 27.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 27.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.518 * [backup-simplify]: Simplify (- 0) into 0 27.518 * [backup-simplify]: Simplify (+ 0 0) into 0 27.518 * [taylor]: Taking taylor expansion of 0 in im 27.518 * [backup-simplify]: Simplify 0 into 0 27.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 27.521 * [backup-simplify]: Simplify 0 into 0 27.521 * [backup-simplify]: Simplify 0 into 0 27.521 * [backup-simplify]: Simplify 0 into 0 27.521 * [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))))) 27.521 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 27.521 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 27.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.522 * [taylor]: Taking taylor expansion of re in im 27.522 * [backup-simplify]: Simplify re into re 27.522 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.522 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.522 * [taylor]: Taking taylor expansion of re in im 27.522 * [backup-simplify]: Simplify re into re 27.522 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.522 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.522 * [taylor]: Taking taylor expansion of im in im 27.522 * [backup-simplify]: Simplify 0 into 0 27.522 * [backup-simplify]: Simplify 1 into 1 27.522 * [backup-simplify]: Simplify (* 1 1) into 1 27.523 * [backup-simplify]: Simplify (/ 1 1) into 1 27.523 * [backup-simplify]: Simplify (+ 0 1) into 1 27.523 * [backup-simplify]: Simplify (sqrt 1) into 1 27.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.525 * [backup-simplify]: Simplify (+ 0 0) into 0 27.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.526 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 27.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.526 * [taylor]: Taking taylor expansion of re in re 27.526 * [backup-simplify]: Simplify 0 into 0 27.526 * [backup-simplify]: Simplify 1 into 1 27.527 * [backup-simplify]: Simplify (/ 1 1) into 1 27.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.527 * [taylor]: Taking taylor expansion of re in re 27.527 * [backup-simplify]: Simplify 0 into 0 27.527 * [backup-simplify]: Simplify 1 into 1 27.527 * [backup-simplify]: Simplify (* 1 1) into 1 27.528 * [backup-simplify]: Simplify (/ 1 1) into 1 27.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.528 * [taylor]: Taking taylor expansion of im in re 27.528 * [backup-simplify]: Simplify im into im 27.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.528 * [backup-simplify]: Simplify (+ 1 0) into 1 27.529 * [backup-simplify]: Simplify (sqrt 1) into 1 27.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.530 * [backup-simplify]: Simplify (+ 0 0) into 0 27.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.531 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 27.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.531 * [taylor]: Taking taylor expansion of re in re 27.531 * [backup-simplify]: Simplify 0 into 0 27.531 * [backup-simplify]: Simplify 1 into 1 27.532 * [backup-simplify]: Simplify (/ 1 1) into 1 27.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.532 * [taylor]: Taking taylor expansion of re in re 27.532 * [backup-simplify]: Simplify 0 into 0 27.532 * [backup-simplify]: Simplify 1 into 1 27.532 * [backup-simplify]: Simplify (* 1 1) into 1 27.533 * [backup-simplify]: Simplify (/ 1 1) into 1 27.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.533 * [taylor]: Taking taylor expansion of im in re 27.533 * [backup-simplify]: Simplify im into im 27.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.533 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.533 * [backup-simplify]: Simplify (+ 1 0) into 1 27.534 * [backup-simplify]: Simplify (sqrt 1) into 1 27.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.535 * [backup-simplify]: Simplify (+ 0 0) into 0 27.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.537 * [backup-simplify]: Simplify (+ 1 1) into 2 27.537 * [taylor]: Taking taylor expansion of 2 in im 27.537 * [backup-simplify]: Simplify 2 into 2 27.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.538 * [backup-simplify]: Simplify (+ 0 0) into 0 27.538 * [taylor]: Taking taylor expansion of 0 in im 27.538 * [backup-simplify]: Simplify 0 into 0 27.538 * [backup-simplify]: Simplify 2 into 2 27.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 27.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 27.542 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 27.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 27.542 * [taylor]: Taking taylor expansion of 1/2 in im 27.542 * [backup-simplify]: Simplify 1/2 into 1/2 27.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.543 * [taylor]: Taking taylor expansion of im in im 27.543 * [backup-simplify]: Simplify 0 into 0 27.543 * [backup-simplify]: Simplify 1 into 1 27.543 * [backup-simplify]: Simplify (* 1 1) into 1 27.543 * [backup-simplify]: Simplify (/ 1 1) into 1 27.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.545 * [backup-simplify]: Simplify 0 into 0 27.545 * [backup-simplify]: Simplify 0 into 0 27.545 * [backup-simplify]: Simplify 0 into 0 27.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 27.547 * [backup-simplify]: Simplify (+ 0 0) into 0 27.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 27.548 * [backup-simplify]: Simplify (+ 0 0) into 0 27.548 * [taylor]: Taking taylor expansion of 0 in im 27.548 * [backup-simplify]: Simplify 0 into 0 27.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 27.549 * [backup-simplify]: Simplify 0 into 0 27.549 * [backup-simplify]: Simplify 0 into 0 27.549 * [backup-simplify]: Simplify 0 into 0 27.549 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 27.549 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 27.550 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 27.550 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 27.550 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 27.550 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 27.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.550 * [taylor]: Taking taylor expansion of 2.0 in re 27.550 * [backup-simplify]: Simplify 2.0 into 2.0 27.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.551 * [taylor]: Taking taylor expansion of im in re 27.551 * [backup-simplify]: Simplify im into im 27.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 27.551 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 27.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 27.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 27.551 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 27.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.551 * [taylor]: Taking taylor expansion of im in re 27.551 * [backup-simplify]: Simplify im into im 27.551 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.551 * [taylor]: Taking taylor expansion of re in re 27.551 * [backup-simplify]: Simplify 0 into 0 27.551 * [backup-simplify]: Simplify 1 into 1 27.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.551 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 27.551 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 27.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 27.551 * [backup-simplify]: Simplify (+ 0 0) into 0 27.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 27.551 * [taylor]: Taking taylor expansion of re in re 27.551 * [backup-simplify]: Simplify 0 into 0 27.551 * [backup-simplify]: Simplify 1 into 1 27.552 * [backup-simplify]: Simplify (- 0) into 0 27.552 * [backup-simplify]: Simplify (+ im 0) into im 27.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 27.552 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 27.552 * [backup-simplify]: Simplify (- 1) into -1 27.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 27.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 27.552 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 27.552 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 27.552 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 27.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.552 * [taylor]: Taking taylor expansion of 2.0 in im 27.552 * [backup-simplify]: Simplify 2.0 into 2.0 27.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.553 * [taylor]: Taking taylor expansion of im in im 27.553 * [backup-simplify]: Simplify 0 into 0 27.553 * [backup-simplify]: Simplify 1 into 1 27.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 27.553 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 27.553 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 27.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 27.553 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 27.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.553 * [taylor]: Taking taylor expansion of im in im 27.553 * [backup-simplify]: Simplify 0 into 0 27.553 * [backup-simplify]: Simplify 1 into 1 27.553 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.553 * [taylor]: Taking taylor expansion of re in im 27.553 * [backup-simplify]: Simplify re into re 27.553 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.554 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 27.554 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 27.554 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 27.554 * [backup-simplify]: Simplify (+ 0 0) into 0 27.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 27.554 * [taylor]: Taking taylor expansion of re in im 27.554 * [backup-simplify]: Simplify re into re 27.554 * [backup-simplify]: Simplify (- re) into (- re) 27.554 * [backup-simplify]: Simplify (+ re (- re)) into 0 27.554 * [backup-simplify]: Simplify (- 0) into 0 27.554 * [backup-simplify]: Simplify (+ 0 0) into 0 27.555 * [backup-simplify]: Simplify (* 1 1) into 1 27.555 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 27.555 * [backup-simplify]: Simplify (+ 1 0) into 1 27.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 27.556 * [backup-simplify]: Simplify (- 0) into 0 27.556 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 27.556 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 27.556 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 27.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.557 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 27.557 * [backup-simplify]: Simplify (+ 0 0) into 0 27.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 27.558 * [backup-simplify]: Simplify (- 0) into 0 27.558 * [backup-simplify]: Simplify (+ 0 0) into 0 27.558 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 27.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 27.558 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 27.558 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 27.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.558 * [taylor]: Taking taylor expansion of 2.0 in im 27.558 * [backup-simplify]: Simplify 2.0 into 2.0 27.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.559 * [taylor]: Taking taylor expansion of im in im 27.559 * [backup-simplify]: Simplify 0 into 0 27.559 * [backup-simplify]: Simplify 1 into 1 27.559 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 27.559 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 27.559 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 27.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 27.559 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 27.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.559 * [taylor]: Taking taylor expansion of im in im 27.559 * [backup-simplify]: Simplify 0 into 0 27.559 * [backup-simplify]: Simplify 1 into 1 27.559 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.559 * [taylor]: Taking taylor expansion of re in im 27.559 * [backup-simplify]: Simplify re into re 27.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.559 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 27.559 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 27.559 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 27.560 * [backup-simplify]: Simplify (+ 0 0) into 0 27.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 27.560 * [taylor]: Taking taylor expansion of re in im 27.560 * [backup-simplify]: Simplify re into re 27.560 * [backup-simplify]: Simplify (- re) into (- re) 27.560 * [backup-simplify]: Simplify (+ re (- re)) into 0 27.560 * [backup-simplify]: Simplify (- 0) into 0 27.560 * [backup-simplify]: Simplify (+ 0 0) into 0 27.560 * [backup-simplify]: Simplify (* 1 1) into 1 27.561 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 27.561 * [backup-simplify]: Simplify (+ 1 0) into 1 27.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 27.562 * [backup-simplify]: Simplify (- 0) into 0 27.562 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 27.562 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 27.562 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 27.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.563 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 27.563 * [backup-simplify]: Simplify (+ 0 0) into 0 27.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 27.563 * [backup-simplify]: Simplify (- 0) into 0 27.564 * [backup-simplify]: Simplify (+ 0 0) into 0 27.564 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 27.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 27.564 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 27.565 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 27.565 * [taylor]: Taking taylor expansion of 0 in re 27.565 * [backup-simplify]: Simplify 0 into 0 27.565 * [backup-simplify]: Simplify 0 into 0 27.566 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 27.567 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 27.567 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 27.567 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 27.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.567 * [taylor]: Taking taylor expansion of 2.0 in re 27.567 * [backup-simplify]: Simplify 2.0 into 2.0 27.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.567 * [taylor]: Taking taylor expansion of (sqrt 2) in re 27.567 * [taylor]: Taking taylor expansion of 2 in re 27.567 * [backup-simplify]: Simplify 2 into 2 27.568 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 27.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 27.568 * [taylor]: Taking taylor expansion of (sqrt re) in re 27.568 * [taylor]: Taking taylor expansion of re in re 27.568 * [backup-simplify]: Simplify 0 into 0 27.568 * [backup-simplify]: Simplify 1 into 1 27.569 * [backup-simplify]: Simplify (sqrt 0) into 0 27.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.571 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 27.572 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 27.572 * [backup-simplify]: Simplify 0 into 0 27.572 * [backup-simplify]: Simplify 0 into 0 27.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.574 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 27.575 * [backup-simplify]: Simplify (+ 0 0) into 0 27.576 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 27.576 * [backup-simplify]: Simplify (- 0) into 0 27.576 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 27.577 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 27.578 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 27.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.580 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 27.582 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 27.582 * [taylor]: Taking taylor expansion of 0 in re 27.582 * [backup-simplify]: Simplify 0 into 0 27.582 * [backup-simplify]: Simplify 0 into 0 27.583 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 27.587 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 27.590 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 27.590 * [backup-simplify]: Simplify 0 into 0 27.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.593 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 27.593 * [backup-simplify]: Simplify (+ 0 0) into 0 27.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 27.594 * [backup-simplify]: Simplify (- 0) into 0 27.594 * [backup-simplify]: Simplify (+ 0 0) into 0 27.594 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 27.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 27.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 27.600 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 27.601 * [taylor]: Taking taylor expansion of 1/4 in re 27.601 * [backup-simplify]: Simplify 1/4 into 1/4 27.601 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 27.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 27.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.601 * [taylor]: Taking taylor expansion of 2.0 in re 27.601 * [backup-simplify]: Simplify 2.0 into 2.0 27.601 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.601 * [taylor]: Taking taylor expansion of (sqrt 2) in re 27.601 * [taylor]: Taking taylor expansion of 2 in re 27.601 * [backup-simplify]: Simplify 2 into 2 27.602 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 27.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 27.603 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 27.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 27.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 27.603 * [taylor]: Taking taylor expansion of (pow re 3) in re 27.603 * [taylor]: Taking taylor expansion of re in re 27.603 * [backup-simplify]: Simplify 0 into 0 27.603 * [backup-simplify]: Simplify 1 into 1 27.603 * [backup-simplify]: Simplify (* 1 1) into 1 27.603 * [backup-simplify]: Simplify (* 1 1) into 1 27.604 * [backup-simplify]: Simplify (/ 1 1) into 1 27.604 * [backup-simplify]: Simplify (sqrt 0) into 0 27.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 27.613 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 27.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 27.615 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 27.618 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 27.620 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 27.621 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 27.625 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 27.627 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 27.627 * [backup-simplify]: Simplify 0 into 0 27.629 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 27.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 27.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.631 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 27.633 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 27.635 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 27.643 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 27.644 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 27.644 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 27.644 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 27.644 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 27.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.644 * [taylor]: Taking taylor expansion of 2.0 in re 27.644 * [backup-simplify]: Simplify 2.0 into 2.0 27.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.645 * [taylor]: Taking taylor expansion of im in re 27.645 * [backup-simplify]: Simplify im into im 27.646 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 27.646 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 27.646 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 27.646 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 27.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.646 * [taylor]: Taking taylor expansion of re in re 27.646 * [backup-simplify]: Simplify 0 into 0 27.646 * [backup-simplify]: Simplify 1 into 1 27.646 * [backup-simplify]: Simplify (* 1 1) into 1 27.647 * [backup-simplify]: Simplify (/ 1 1) into 1 27.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.647 * [taylor]: Taking taylor expansion of im in re 27.647 * [backup-simplify]: Simplify im into im 27.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.647 * [backup-simplify]: Simplify (+ 1 0) into 1 27.648 * [backup-simplify]: Simplify (sqrt 1) into 1 27.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.649 * [backup-simplify]: Simplify (+ 0 0) into 0 27.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.650 * [taylor]: Taking taylor expansion of re in re 27.650 * [backup-simplify]: Simplify 0 into 0 27.650 * [backup-simplify]: Simplify 1 into 1 27.651 * [backup-simplify]: Simplify (/ 1 1) into 1 27.651 * [backup-simplify]: Simplify (- 1) into -1 27.652 * [backup-simplify]: Simplify (+ 1 -1) into 0 27.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.653 * [backup-simplify]: Simplify (- 0) into 0 27.653 * [backup-simplify]: Simplify (+ 0 0) into 0 27.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 27.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 27.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.657 * [backup-simplify]: Simplify (- 0) into 0 27.658 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 27.658 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 27.658 * [backup-simplify]: Simplify (sqrt 0) into 0 27.659 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 27.659 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 27.659 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.659 * [taylor]: Taking taylor expansion of 2.0 in im 27.659 * [backup-simplify]: Simplify 2.0 into 2.0 27.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.660 * [taylor]: Taking taylor expansion of im in im 27.660 * [backup-simplify]: Simplify 0 into 0 27.660 * [backup-simplify]: Simplify 1 into 1 27.660 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 27.661 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 27.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 27.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.661 * [taylor]: Taking taylor expansion of re in im 27.661 * [backup-simplify]: Simplify re into re 27.661 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.661 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.661 * [taylor]: Taking taylor expansion of im in im 27.661 * [backup-simplify]: Simplify 0 into 0 27.661 * [backup-simplify]: Simplify 1 into 1 27.661 * [backup-simplify]: Simplify (* 1 1) into 1 27.661 * [backup-simplify]: Simplify (/ 1 1) into 1 27.662 * [backup-simplify]: Simplify (+ 0 1) into 1 27.662 * [backup-simplify]: Simplify (sqrt 1) into 1 27.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.663 * [backup-simplify]: Simplify (+ 0 0) into 0 27.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.663 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.663 * [taylor]: Taking taylor expansion of re in im 27.663 * [backup-simplify]: Simplify re into re 27.663 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.664 * [backup-simplify]: Simplify (+ 1 0) into 1 27.664 * [backup-simplify]: Simplify (/ 1 1) into 1 27.664 * [backup-simplify]: Simplify (sqrt 0) into 0 27.665 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.665 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 27.665 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.665 * [taylor]: Taking taylor expansion of 2.0 in im 27.665 * [backup-simplify]: Simplify 2.0 into 2.0 27.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.666 * [taylor]: Taking taylor expansion of im in im 27.666 * [backup-simplify]: Simplify 0 into 0 27.666 * [backup-simplify]: Simplify 1 into 1 27.667 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 27.667 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 27.667 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 27.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.667 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.667 * [taylor]: Taking taylor expansion of re in im 27.667 * [backup-simplify]: Simplify re into re 27.667 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.667 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.667 * [taylor]: Taking taylor expansion of im in im 27.667 * [backup-simplify]: Simplify 0 into 0 27.667 * [backup-simplify]: Simplify 1 into 1 27.667 * [backup-simplify]: Simplify (* 1 1) into 1 27.667 * [backup-simplify]: Simplify (/ 1 1) into 1 27.668 * [backup-simplify]: Simplify (+ 0 1) into 1 27.668 * [backup-simplify]: Simplify (sqrt 1) into 1 27.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.669 * [backup-simplify]: Simplify (+ 0 0) into 0 27.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.669 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.669 * [taylor]: Taking taylor expansion of re in im 27.669 * [backup-simplify]: Simplify re into re 27.670 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.670 * [backup-simplify]: Simplify (+ 1 0) into 1 27.670 * [backup-simplify]: Simplify (/ 1 1) into 1 27.670 * [backup-simplify]: Simplify (sqrt 0) into 0 27.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.671 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 27.671 * [taylor]: Taking taylor expansion of 0 in re 27.671 * [backup-simplify]: Simplify 0 into 0 27.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 27.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 27.673 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.673 * [taylor]: Taking taylor expansion of +nan.0 in re 27.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.673 * [taylor]: Taking taylor expansion of 2.0 in re 27.673 * [backup-simplify]: Simplify 2.0 into 2.0 27.674 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.674 * [backup-simplify]: Simplify 0 into 0 27.674 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 27.674 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 27.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 27.675 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 27.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 27.677 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 27.677 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 27.677 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.677 * [taylor]: Taking taylor expansion of +nan.0 in re 27.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.677 * [taylor]: Taking taylor expansion of 2.0 in re 27.677 * [backup-simplify]: Simplify 2.0 into 2.0 27.678 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.678 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 27.678 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 27.678 * [taylor]: Taking taylor expansion of +nan.0 in re 27.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.678 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 27.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.678 * [taylor]: Taking taylor expansion of 2.0 in re 27.678 * [backup-simplify]: Simplify 2.0 into 2.0 27.678 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.679 * [taylor]: Taking taylor expansion of re in re 27.679 * [backup-simplify]: Simplify 0 into 0 27.679 * [backup-simplify]: Simplify 1 into 1 27.679 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.680 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.681 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.682 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.684 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.685 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.685 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.686 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.687 * [backup-simplify]: Simplify 0 into 0 27.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.689 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 27.690 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 27.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 27.690 * [backup-simplify]: Simplify (- 0) into 0 27.690 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 27.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 27.692 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 27.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.696 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 27.696 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 27.696 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 27.696 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.696 * [taylor]: Taking taylor expansion of +nan.0 in re 27.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.696 * [taylor]: Taking taylor expansion of 2.0 in re 27.696 * [backup-simplify]: Simplify 2.0 into 2.0 27.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.698 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 27.698 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 27.698 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 27.698 * [taylor]: Taking taylor expansion of +nan.0 in re 27.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.698 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 27.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.698 * [taylor]: Taking taylor expansion of 2.0 in re 27.698 * [backup-simplify]: Simplify 2.0 into 2.0 27.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.699 * [taylor]: Taking taylor expansion of re in re 27.699 * [backup-simplify]: Simplify 0 into 0 27.699 * [backup-simplify]: Simplify 1 into 1 27.700 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 27.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 27.700 * [taylor]: Taking taylor expansion of +nan.0 in re 27.700 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.700 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 27.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.700 * [taylor]: Taking taylor expansion of 2.0 in re 27.700 * [backup-simplify]: Simplify 2.0 into 2.0 27.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.701 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.701 * [taylor]: Taking taylor expansion of re in re 27.701 * [backup-simplify]: Simplify 0 into 0 27.701 * [backup-simplify]: Simplify 1 into 1 27.702 * [backup-simplify]: Simplify (* 1 1) into 1 27.703 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.703 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.706 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 27.707 * [backup-simplify]: Simplify (- 0) into 0 27.708 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 27.711 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.713 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.721 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.723 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.728 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 27.729 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 27.729 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 27.729 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 27.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 27.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.729 * [taylor]: Taking taylor expansion of 2.0 in re 27.729 * [backup-simplify]: Simplify 2.0 into 2.0 27.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.730 * [taylor]: Taking taylor expansion of im in re 27.730 * [backup-simplify]: Simplify im into im 27.731 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 27.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 27.731 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 27.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 27.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 27.731 * [taylor]: Taking taylor expansion of re in re 27.731 * [backup-simplify]: Simplify 0 into 0 27.731 * [backup-simplify]: Simplify 1 into 1 27.731 * [backup-simplify]: Simplify (/ 1 1) into 1 27.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 27.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 27.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 27.731 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.732 * [taylor]: Taking taylor expansion of re in re 27.732 * [backup-simplify]: Simplify 0 into 0 27.732 * [backup-simplify]: Simplify 1 into 1 27.732 * [backup-simplify]: Simplify (* 1 1) into 1 27.732 * [backup-simplify]: Simplify (/ 1 1) into 1 27.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 27.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 27.732 * [taylor]: Taking taylor expansion of im in re 27.732 * [backup-simplify]: Simplify im into im 27.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 27.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 27.733 * [backup-simplify]: Simplify (+ 1 0) into 1 27.733 * [backup-simplify]: Simplify (sqrt 1) into 1 27.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.735 * [backup-simplify]: Simplify (+ 0 0) into 0 27.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.736 * [backup-simplify]: Simplify (+ 1 1) into 2 27.737 * [backup-simplify]: Simplify (/ 1 2) into 1/2 27.737 * [backup-simplify]: Simplify (sqrt 0) into 0 27.739 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 27.739 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 27.739 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.739 * [taylor]: Taking taylor expansion of 2.0 in im 27.739 * [backup-simplify]: Simplify 2.0 into 2.0 27.740 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.740 * [taylor]: Taking taylor expansion of im in im 27.740 * [backup-simplify]: Simplify 0 into 0 27.740 * [backup-simplify]: Simplify 1 into 1 27.741 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 27.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 27.742 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 27.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.742 * [taylor]: Taking taylor expansion of re in im 27.742 * [backup-simplify]: Simplify re into re 27.742 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.742 * [taylor]: Taking taylor expansion of re in im 27.742 * [backup-simplify]: Simplify re into re 27.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.742 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.742 * [taylor]: Taking taylor expansion of im in im 27.742 * [backup-simplify]: Simplify 0 into 0 27.742 * [backup-simplify]: Simplify 1 into 1 27.743 * [backup-simplify]: Simplify (* 1 1) into 1 27.743 * [backup-simplify]: Simplify (/ 1 1) into 1 27.743 * [backup-simplify]: Simplify (+ 0 1) into 1 27.744 * [backup-simplify]: Simplify (sqrt 1) into 1 27.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.746 * [backup-simplify]: Simplify (+ 0 0) into 0 27.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.747 * [backup-simplify]: Simplify (+ 0 1) into 1 27.747 * [backup-simplify]: Simplify (/ 1 1) into 1 27.748 * [backup-simplify]: Simplify (sqrt 0) into 0 27.749 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.749 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 27.749 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 27.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 27.749 * [taylor]: Taking taylor expansion of 2.0 in im 27.749 * [backup-simplify]: Simplify 2.0 into 2.0 27.750 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.750 * [taylor]: Taking taylor expansion of im in im 27.750 * [backup-simplify]: Simplify 0 into 0 27.751 * [backup-simplify]: Simplify 1 into 1 27.751 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 27.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 27.752 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 27.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 27.752 * [taylor]: Taking taylor expansion of re in im 27.752 * [backup-simplify]: Simplify re into re 27.752 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 27.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 27.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 27.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 27.752 * [taylor]: Taking taylor expansion of (pow re 2) in im 27.752 * [taylor]: Taking taylor expansion of re in im 27.752 * [backup-simplify]: Simplify re into re 27.752 * [backup-simplify]: Simplify (* re re) into (pow re 2) 27.752 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 27.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 27.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 27.752 * [taylor]: Taking taylor expansion of im in im 27.752 * [backup-simplify]: Simplify 0 into 0 27.752 * [backup-simplify]: Simplify 1 into 1 27.753 * [backup-simplify]: Simplify (* 1 1) into 1 27.753 * [backup-simplify]: Simplify (/ 1 1) into 1 27.753 * [backup-simplify]: Simplify (+ 0 1) into 1 27.754 * [backup-simplify]: Simplify (sqrt 1) into 1 27.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.755 * [backup-simplify]: Simplify (+ 0 0) into 0 27.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.757 * [backup-simplify]: Simplify (+ 0 1) into 1 27.757 * [backup-simplify]: Simplify (/ 1 1) into 1 27.757 * [backup-simplify]: Simplify (sqrt 0) into 0 27.759 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 27.760 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 27.760 * [taylor]: Taking taylor expansion of 0 in re 27.760 * [backup-simplify]: Simplify 0 into 0 27.760 * [backup-simplify]: Simplify 0 into 0 27.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.763 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 27.763 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 27.763 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.763 * [taylor]: Taking taylor expansion of +nan.0 in re 27.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.763 * [taylor]: Taking taylor expansion of 2.0 in re 27.763 * [backup-simplify]: Simplify 2.0 into 2.0 27.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.765 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.767 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.768 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.768 * [backup-simplify]: Simplify 0 into 0 27.768 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 27.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 27.770 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 27.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.773 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 27.773 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 27.773 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 27.773 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.773 * [taylor]: Taking taylor expansion of +nan.0 in re 27.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.774 * [taylor]: Taking taylor expansion of 2.0 in re 27.774 * [backup-simplify]: Simplify 2.0 into 2.0 27.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 27.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 27.775 * [taylor]: Taking taylor expansion of +nan.0 in re 27.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 27.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.775 * [taylor]: Taking taylor expansion of 2.0 in re 27.775 * [backup-simplify]: Simplify 2.0 into 2.0 27.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.776 * [taylor]: Taking taylor expansion of re in re 27.776 * [backup-simplify]: Simplify 0 into 0 27.776 * [backup-simplify]: Simplify 1 into 1 27.777 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.778 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 27.780 * [backup-simplify]: Simplify (- 0) into 0 27.782 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 27.784 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.786 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.786 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 27.787 * [backup-simplify]: Simplify (- 0) into 0 27.787 * [backup-simplify]: Simplify 0 into 0 27.787 * [backup-simplify]: Simplify 0 into 0 27.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 27.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.789 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 27.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 27.790 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 27.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 27.792 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 27.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 27.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.795 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 27.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 27.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 27.795 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 27.795 * [taylor]: Taking taylor expansion of +nan.0 in re 27.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.795 * [taylor]: Taking taylor expansion of 2.0 in re 27.795 * [backup-simplify]: Simplify 2.0 into 2.0 27.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 27.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 27.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 27.795 * [taylor]: Taking taylor expansion of +nan.0 in re 27.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 27.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.796 * [taylor]: Taking taylor expansion of 2.0 in re 27.796 * [backup-simplify]: Simplify 2.0 into 2.0 27.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.796 * [taylor]: Taking taylor expansion of re in re 27.796 * [backup-simplify]: Simplify 0 into 0 27.796 * [backup-simplify]: Simplify 1 into 1 27.797 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 27.797 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 27.797 * [taylor]: Taking taylor expansion of +nan.0 in re 27.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.797 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 27.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 27.797 * [taylor]: Taking taylor expansion of 2.0 in re 27.797 * [backup-simplify]: Simplify 2.0 into 2.0 27.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 27.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 27.798 * [taylor]: Taking taylor expansion of (pow re 2) in re 27.798 * [taylor]: Taking taylor expansion of re in re 27.798 * [backup-simplify]: Simplify 0 into 0 27.798 * [backup-simplify]: Simplify 1 into 1 27.798 * [backup-simplify]: Simplify (* 1 1) into 1 27.799 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 27.799 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 27.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.800 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 27.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 27.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 27.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.804 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 27.804 * [backup-simplify]: Simplify (- 0) into 0 27.804 * [backup-simplify]: Simplify (+ 0 0) into 0 27.804 * [backup-simplify]: Simplify (- 0) into 0 27.805 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 27.807 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 27.808 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 27.811 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 27.811 * * * [progress]: simplifying candidates 27.811 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 27.812 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 27.812 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 27.812 * [simplify]: Simplifying (log (sqrt (* 2.0 (* im im)))) 27.812 * * [simplify]: iters left: 6 (6 enodes) 27.813 * * [simplify]: iters left: 5 (21 enodes) 27.817 * * [simplify]: iters left: 4 (25 enodes) 27.821 * * [simplify]: Extracting #0: cost 1 inf + 0 27.821 * * [simplify]: Extracting #1: cost 3 inf + 0 27.821 * * [simplify]: Extracting #2: cost 5 inf + 0 27.821 * * [simplify]: Extracting #3: cost 10 inf + 0 27.821 * * [simplify]: Extracting #4: cost 10 inf + 2 27.822 * * [simplify]: Extracting #5: cost 1 inf + 768 27.822 * * [simplify]: Extracting #6: cost 0 inf + 960 27.822 * [simplify]: Simplified to (log (sqrt (* 2.0 (* im im)))) 27.823 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (exp (log (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.823 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 27.823 * [simplify]: Simplifying (exp (sqrt (* 2.0 (* im im)))) 27.823 * * [simplify]: iters left: 6 (6 enodes) 27.826 * * [simplify]: iters left: 5 (21 enodes) 27.833 * * [simplify]: iters left: 4 (25 enodes) 27.840 * * [simplify]: Extracting #0: cost 1 inf + 0 27.841 * * [simplify]: Extracting #1: cost 3 inf + 0 27.841 * * [simplify]: Extracting #2: cost 5 inf + 0 27.841 * * [simplify]: Extracting #3: cost 10 inf + 0 27.841 * * [simplify]: Extracting #4: cost 10 inf + 2 27.841 * * [simplify]: Extracting #5: cost 1 inf + 768 27.841 * * [simplify]: Extracting #6: cost 0 inf + 960 27.842 * [simplify]: Simplified to (exp (sqrt (* 2.0 (* im im)))) 27.842 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (log (exp (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.842 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 27.842 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 27.843 * * [simplify]: iters left: 6 (7 enodes) 27.852 * * [simplify]: iters left: 5 (24 enodes) 27.860 * * [simplify]: iters left: 4 (28 enodes) 27.868 * * [simplify]: Extracting #0: cost 1 inf + 0 27.868 * * [simplify]: Extracting #1: cost 3 inf + 0 27.868 * * [simplify]: Extracting #2: cost 5 inf + 0 27.868 * * [simplify]: Extracting #3: cost 7 inf + 0 27.868 * * [simplify]: Extracting #4: cost 12 inf + 0 27.868 * * [simplify]: Extracting #5: cost 12 inf + 2 27.868 * * [simplify]: Extracting #6: cost 6 inf + 332 27.869 * * [simplify]: Extracting #7: cost 3 inf + 778 27.869 * * [simplify]: Extracting #8: cost 1 inf + 1222 27.870 * * [simplify]: Extracting #9: cost 0 inf + 1464 27.870 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 27.870 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.871 * [simplify]: Simplifying (cbrt (sqrt (* 2.0 (* im im)))) 27.871 * * [simplify]: iters left: 6 (6 enodes) 27.873 * * [simplify]: iters left: 5 (21 enodes) 27.877 * * [simplify]: iters left: 4 (25 enodes) 27.880 * * [simplify]: Extracting #0: cost 1 inf + 0 27.880 * * [simplify]: Extracting #1: cost 3 inf + 0 27.880 * * [simplify]: Extracting #2: cost 5 inf + 0 27.880 * * [simplify]: Extracting #3: cost 10 inf + 0 27.881 * * [simplify]: Extracting #4: cost 10 inf + 2 27.881 * * [simplify]: Extracting #5: cost 1 inf + 778 27.881 * * [simplify]: Extracting #6: cost 0 inf + 980 27.881 * [simplify]: Simplified to (cbrt (sqrt (* 2.0 (* im im)))) 27.881 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.881 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 27.881 * [simplify]: Simplifying (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) 27.882 * * [simplify]: iters left: 6 (7 enodes) 27.884 * * [simplify]: iters left: 5 (23 enodes) 27.888 * * [simplify]: iters left: 4 (42 enodes) 27.896 * * [simplify]: iters left: 3 (74 enodes) 27.915 * * [simplify]: iters left: 2 (97 enodes) 27.948 * * [simplify]: iters left: 1 (129 enodes) 27.973 * * [simplify]: Extracting #0: cost 1 inf + 0 27.973 * * [simplify]: Extracting #1: cost 18 inf + 0 27.973 * * [simplify]: Extracting #2: cost 35 inf + 3 27.973 * * [simplify]: Extracting #3: cost 29 inf + 212 27.973 * * [simplify]: Extracting #4: cost 20 inf + 2244 27.974 * * [simplify]: Extracting #5: cost 6 inf + 6000 27.976 * * [simplify]: Extracting #6: cost 0 inf + 8831 27.977 * [simplify]: Simplified to (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) 27.977 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (cbrt (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.977 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 27.978 * [simplify]: Simplifying (sqrt 2.0) 27.978 * * [simplify]: iters left: 1 (2 enodes) 27.979 * * [simplify]: Extracting #0: cost 1 inf + 0 27.979 * * [simplify]: Extracting #1: cost 3 inf + 0 27.979 * * [simplify]: Extracting #2: cost 2 inf + 1 27.979 * * [simplify]: Extracting #3: cost 0 inf + 83 27.979 * [simplify]: Simplified to (sqrt 2.0) 27.979 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.979 * [simplify]: Simplifying (sqrt (* im im)) 27.979 * * [simplify]: iters left: 3 (3 enodes) 27.980 * * [simplify]: iters left: 2 (10 enodes) 27.983 * * [simplify]: Extracting #0: cost 1 inf + 0 27.983 * * [simplify]: Extracting #1: cost 4 inf + 0 27.983 * * [simplify]: Extracting #2: cost 4 inf + 1 27.983 * * [simplify]: Extracting #3: cost 0 inf + 165 27.983 * [simplify]: Simplified to (fabs im) 27.983 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.983 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 27.983 * [simplify]: Simplifying (/ 1 2) 27.984 * * [simplify]: iters left: 2 (3 enodes) 27.987 * * [simplify]: iters left: 1 (12 enodes) 27.991 * * [simplify]: Extracting #0: cost 1 inf + 0 27.991 * * [simplify]: Extracting #1: cost 0 inf + 1 27.991 * [simplify]: Simplified to 1/2 27.991 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) 1/2) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.991 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 27.992 * [simplify]: Simplifying (/ 1 2) 27.992 * * [simplify]: iters left: 2 (3 enodes) 27.995 * * [simplify]: iters left: 1 (12 enodes) 27.999 * * [simplify]: Extracting #0: cost 1 inf + 0 27.999 * * [simplify]: Extracting #1: cost 0 inf + 1 27.999 * [simplify]: Simplified to 1/2 27.999 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) 1/2) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 27.999 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 28.000 * [simplify]: Simplifying (/ 1 2) 28.000 * * [simplify]: iters left: 2 (3 enodes) 28.003 * * [simplify]: iters left: 1 (12 enodes) 28.007 * * [simplify]: Extracting #0: cost 1 inf + 0 28.007 * * [simplify]: Extracting #1: cost 0 inf + 1 28.007 * [simplify]: Simplified to 1/2 28.007 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) 1/2) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 28.007 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 28.007 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 28.007 * * [simplify]: iters left: 6 (6 enodes) 28.011 * * [simplify]: iters left: 5 (21 enodes) 28.017 * * [simplify]: iters left: 4 (25 enodes) 28.025 * * [simplify]: Extracting #0: cost 1 inf + 0 28.025 * * [simplify]: Extracting #1: cost 3 inf + 0 28.025 * * [simplify]: Extracting #2: cost 5 inf + 0 28.025 * * [simplify]: Extracting #3: cost 10 inf + 0 28.025 * * [simplify]: Extracting #4: cost 10 inf + 2 28.025 * * [simplify]: Extracting #5: cost 1 inf + 738 28.026 * * [simplify]: Extracting #6: cost 0 inf + 900 28.026 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 28.026 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 28.027 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 28.027 * * [simplify]: iters left: 6 (6 enodes) 28.030 * * [simplify]: iters left: 5 (21 enodes) 28.036 * * [simplify]: iters left: 4 (25 enodes) 28.044 * * [simplify]: Extracting #0: cost 1 inf + 0 28.044 * * [simplify]: Extracting #1: cost 3 inf + 0 28.044 * * [simplify]: Extracting #2: cost 5 inf + 0 28.044 * * [simplify]: Extracting #3: cost 10 inf + 0 28.044 * * [simplify]: Extracting #4: cost 10 inf + 2 28.045 * * [simplify]: Extracting #5: cost 1 inf + 738 28.045 * * [simplify]: Extracting #6: cost 0 inf + 900 28.046 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 28.046 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 28.046 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 28.046 * * * * [progress]: [ 13 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 28.046 * [simplify]: Simplifying (real->posit16 (sqrt (* 2.0 (* im im)))) 28.046 * * [simplify]: iters left: 6 (6 enodes) 28.049 * * [simplify]: iters left: 5 (18 enodes) 28.055 * * [simplify]: iters left: 4 (22 enodes) 28.061 * * [simplify]: Extracting #0: cost 1 inf + 0 28.061 * * [simplify]: Extracting #1: cost 2 inf + 0 28.061 * * [simplify]: Extracting #2: cost 3 inf + 0 28.061 * * [simplify]: Extracting #3: cost 8 inf + 0 28.061 * * [simplify]: Extracting #4: cost 7 inf + 43 28.062 * * [simplify]: Extracting #5: cost 0 inf + 576 28.062 * [simplify]: Simplified to (real->posit16 (sqrt (* 2.0 (* im im)))) 28.062 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (posit16->real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 28.062 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 28.062 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 28.062 * * * * [progress]: [ 16 / 122 ] simplifiying candidate # 28.063 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))) 28.063 * * [simplify]: iters left: 6 (7 enodes) 28.066 * * [simplify]: iters left: 5 (22 enodes) 28.072 * * [simplify]: Extracting #0: cost 1 inf + 0 28.072 * * [simplify]: Extracting #1: cost 3 inf + 0 28.072 * * [simplify]: Extracting #2: cost 5 inf + 0 28.072 * * [simplify]: Extracting #3: cost 8 inf + 0 28.072 * * [simplify]: Extracting #4: cost 12 inf + 0 28.072 * * [simplify]: Extracting #5: cost 10 inf + 2 28.072 * * [simplify]: Extracting #6: cost 1 inf + 966 28.073 * * [simplify]: Extracting #7: cost 0 inf + 1198 28.073 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))) 28.073 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 28.073 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 28.074 * [simplify]: Simplifying (exp (sqrt (+ (* re re) (* im im)))) 28.074 * * [simplify]: iters left: 6 (7 enodes) 28.077 * * [simplify]: iters left: 5 (22 enodes) 28.081 * * [simplify]: Extracting #0: cost 1 inf + 0 28.082 * * [simplify]: Extracting #1: cost 3 inf + 0 28.082 * * [simplify]: Extracting #2: cost 5 inf + 0 28.082 * * [simplify]: Extracting #3: cost 8 inf + 0 28.082 * * [simplify]: Extracting #4: cost 12 inf + 0 28.082 * * [simplify]: Extracting #5: cost 10 inf + 2 28.082 * * [simplify]: Extracting #6: cost 1 inf + 966 28.082 * * [simplify]: Extracting #7: cost 0 inf + 1198 28.082 * [simplify]: Simplified to (exp (sqrt (+ (* re re) (* im im)))) 28.082 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (log (exp (sqrt (+ (* re re) (* im im))))) re))))) 28.082 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 28.083 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 28.083 * * [simplify]: iters left: 6 (8 enodes) 28.084 * * [simplify]: iters left: 5 (25 enodes) 28.088 * * [simplify]: Extracting #0: cost 1 inf + 0 28.088 * * [simplify]: Extracting #1: cost 3 inf + 0 28.088 * * [simplify]: Extracting #2: cost 5 inf + 0 28.088 * * [simplify]: Extracting #3: cost 7 inf + 0 28.088 * * [simplify]: Extracting #4: cost 10 inf + 0 28.088 * * [simplify]: Extracting #5: cost 14 inf + 0 28.088 * * [simplify]: Extracting #6: cost 11 inf + 43 28.088 * * [simplify]: Extracting #7: cost 9 inf + 125 28.088 * * [simplify]: Extracting #8: cost 5 inf + 572 28.088 * * [simplify]: Extracting #9: cost 1 inf + 1500 28.089 * * [simplify]: Extracting #10: cost 0 inf + 1782 28.089 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 28.089 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 28.089 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 28.089 * * [simplify]: iters left: 6 (7 enodes) 28.091 * * [simplify]: iters left: 5 (22 enodes) 28.096 * * [simplify]: Extracting #0: cost 1 inf + 0 28.096 * * [simplify]: Extracting #1: cost 3 inf + 0 28.096 * * [simplify]: Extracting #2: cost 5 inf + 0 28.096 * * [simplify]: Extracting #3: cost 8 inf + 0 28.096 * * [simplify]: Extracting #4: cost 12 inf + 0 28.096 * * [simplify]: Extracting #5: cost 10 inf + 2 28.096 * * [simplify]: Extracting #6: cost 1 inf + 976 28.096 * * [simplify]: Extracting #7: cost 0 inf + 1218 28.096 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 28.097 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 28.097 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 28.097 * [simplify]: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) 28.097 * * [simplify]: iters left: 6 (8 enodes) 28.099 * * [simplify]: iters left: 5 (24 enodes) 28.102 * * [simplify]: iters left: 4 (35 enodes) 28.108 * * [simplify]: iters left: 3 (58 enodes) 28.126 * * [simplify]: iters left: 2 (80 enodes) 28.149 * * [simplify]: iters left: 1 (106 enodes) 28.178 * * [simplify]: Extracting #0: cost 1 inf + 0 28.178 * * [simplify]: Extracting #1: cost 11 inf + 0 28.178 * * [simplify]: Extracting #2: cost 27 inf + 1 28.179 * * [simplify]: Extracting #3: cost 28 inf + 87 28.179 * * [simplify]: Extracting #4: cost 21 inf + 980 28.181 * * [simplify]: Extracting #5: cost 6 inf + 5217 28.183 * * [simplify]: Extracting #6: cost 0 inf + 7866 28.185 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 28.185 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) re))))) 28.186 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 28.186 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 28.186 * * [simplify]: iters left: 6 (8 enodes) 28.190 * * [simplify]: iters left: 5 (26 enodes) 28.196 * * [simplify]: Extracting #0: cost 1 inf + 0 28.196 * * [simplify]: Extracting #1: cost 4 inf + 0 28.196 * * [simplify]: Extracting #2: cost 7 inf + 0 28.197 * * [simplify]: Extracting #3: cost 10 inf + 0 28.197 * * [simplify]: Extracting #4: cost 14 inf + 0 28.197 * * [simplify]: Extracting #5: cost 10 inf + 84 28.197 * * [simplify]: Extracting #6: cost 8 inf + 166 28.197 * * [simplify]: Extracting #7: cost 4 inf + 854 28.198 * * [simplify]: Extracting #8: cost 1 inf + 1540 28.198 * * [simplify]: Extracting #9: cost 0 inf + 1782 28.199 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 28.199 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 28.199 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 28.199 * * [simplify]: iters left: 6 (7 enodes) 28.202 * * [simplify]: iters left: 5 (22 enodes) 28.208 * * [simplify]: Extracting #0: cost 1 inf + 0 28.208 * * [simplify]: Extracting #1: cost 3 inf + 0 28.208 * * [simplify]: Extracting #2: cost 5 inf + 0 28.208 * * [simplify]: Extracting #3: cost 8 inf + 0 28.208 * * [simplify]: Extracting #4: cost 12 inf + 0 28.208 * * [simplify]: Extracting #5: cost 10 inf + 2 28.209 * * [simplify]: Extracting #6: cost 1 inf + 1056 28.209 * * [simplify]: Extracting #7: cost 0 inf + 1298 28.209 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 28.209 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 28.210 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 28.210 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 28.210 * * [simplify]: iters left: 6 (7 enodes) 28.213 * * [simplify]: iters left: 5 (22 enodes) 28.218 * * [simplify]: Extracting #0: cost 1 inf + 0 28.218 * * [simplify]: Extracting #1: cost 3 inf + 0 28.218 * * [simplify]: Extracting #2: cost 5 inf + 0 28.219 * * [simplify]: Extracting #3: cost 8 inf + 0 28.219 * * [simplify]: Extracting #4: cost 12 inf + 0 28.219 * * [simplify]: Extracting #5: cost 10 inf + 2 28.219 * * [simplify]: Extracting #6: cost 1 inf + 936 28.219 * * [simplify]: Extracting #7: cost 0 inf + 1138 28.220 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 28.220 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 28.220 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 28.220 * * [simplify]: iters left: 6 (7 enodes) 28.223 * * [simplify]: iters left: 5 (22 enodes) 28.231 * * [simplify]: Extracting #0: cost 1 inf + 0 28.231 * * [simplify]: Extracting #1: cost 3 inf + 0 28.231 * * [simplify]: Extracting #2: cost 5 inf + 0 28.231 * * [simplify]: Extracting #3: cost 8 inf + 0 28.231 * * [simplify]: Extracting #4: cost 12 inf + 0 28.231 * * [simplify]: Extracting #5: cost 10 inf + 2 28.231 * * [simplify]: Extracting #6: cost 1 inf + 936 28.231 * * [simplify]: Extracting #7: cost 0 inf + 1138 28.232 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 28.232 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 28.232 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 28.232 * [simplify]: Simplifying (sqrt 1) 28.232 * * [simplify]: iters left: 1 (2 enodes) 28.234 * * [simplify]: Extracting #0: cost 1 inf + 0 28.234 * * [simplify]: Extracting #1: cost 0 inf + 1 28.234 * [simplify]: Simplified to 1 28.234 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 28.234 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 28.234 * * [simplify]: iters left: 5 (6 enodes) 28.236 * * [simplify]: iters left: 4 (19 enodes) 28.238 * * [simplify]: Extracting #0: cost 1 inf + 0 28.238 * * [simplify]: Extracting #1: cost 3 inf + 0 28.238 * * [simplify]: Extracting #2: cost 6 inf + 0 28.238 * * [simplify]: Extracting #3: cost 10 inf + 0 28.238 * * [simplify]: Extracting #4: cost 6 inf + 84 28.239 * * [simplify]: Extracting #5: cost 0 inf + 734 28.239 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 28.239 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 28.239 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 28.239 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 28.239 * * [simplify]: iters left: 6 (9 enodes) 28.242 * * [simplify]: iters left: 5 (45 enodes) 28.253 * * [simplify]: iters left: 4 (100 enodes) 28.296 * * [simplify]: iters left: 3 (201 enodes) 28.383 * * [simplify]: iters left: 2 (406 enodes) 28.532 * * [simplify]: Extracting #0: cost 1 inf + 0 28.532 * * [simplify]: Extracting #1: cost 3 inf + 0 28.532 * * [simplify]: Extracting #2: cost 6 inf + 0 28.532 * * [simplify]: Extracting #3: cost 80 inf + 0 28.533 * * [simplify]: Extracting #4: cost 189 inf + 460 28.534 * * [simplify]: Extracting #5: cost 168 inf + 4664 28.537 * * [simplify]: Extracting #6: cost 84 inf + 34209 28.547 * * [simplify]: Extracting #7: cost 2 inf + 72608 28.555 * * [simplify]: Extracting #8: cost 0 inf + 73363 28.566 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 28.566 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 28.567 * [simplify]: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) 28.567 * * [simplify]: iters left: 6 (10 enodes) 28.572 * * [simplify]: iters left: 5 (52 enodes) 28.582 * * [simplify]: iters left: 4 (119 enodes) 28.612 * * [simplify]: iters left: 3 (234 enodes) 28.704 * * [simplify]: iters left: 2 (366 enodes) 28.833 * * [simplify]: Extracting #0: cost 1 inf + 0 28.833 * * [simplify]: Extracting #1: cost 3 inf + 0 28.833 * * [simplify]: Extracting #2: cost 22 inf + 0 28.834 * * [simplify]: Extracting #3: cost 148 inf + 0 28.836 * * [simplify]: Extracting #4: cost 202 inf + 2230 28.839 * * [simplify]: Extracting #5: cost 83 inf + 22274 28.846 * * [simplify]: Extracting #6: cost 1 inf + 35108 28.853 * * [simplify]: Extracting #7: cost 0 inf + 35040 28.861 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 28.861 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) re))))) 28.861 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 28.861 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 28.861 * * [simplify]: iters left: 6 (8 enodes) 28.863 * * [simplify]: iters left: 5 (37 enodes) 28.870 * * [simplify]: iters left: 4 (67 enodes) 28.885 * * [simplify]: iters left: 3 (123 enodes) 28.924 * * [simplify]: iters left: 2 (278 enodes) 29.025 * * [simplify]: Extracting #0: cost 1 inf + 0 29.025 * * [simplify]: Extracting #1: cost 3 inf + 0 29.025 * * [simplify]: Extracting #2: cost 50 inf + 0 29.025 * * [simplify]: Extracting #3: cost 150 inf + 0 29.026 * * [simplify]: Extracting #4: cost 194 inf + 1180 29.029 * * [simplify]: Extracting #5: cost 123 inf + 12421 29.035 * * [simplify]: Extracting #6: cost 12 inf + 33804 29.045 * * [simplify]: Extracting #7: cost 0 inf + 36129 29.061 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 29.061 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 29.061 * [simplify]: Simplifying (sqrt (- (* re re) (* im im))) 29.061 * * [simplify]: iters left: 5 (6 enodes) 29.064 * * [simplify]: iters left: 4 (23 enodes) 29.072 * * [simplify]: iters left: 3 (36 enodes) 29.077 * * [simplify]: iters left: 2 (53 enodes) 29.086 * * [simplify]: iters left: 1 (94 enodes) 29.110 * * [simplify]: Extracting #0: cost 1 inf + 0 29.110 * * [simplify]: Extracting #1: cost 3 inf + 0 29.110 * * [simplify]: Extracting #2: cost 32 inf + 0 29.110 * * [simplify]: Extracting #3: cost 48 inf + 0 29.111 * * [simplify]: Extracting #4: cost 42 inf + 247 29.112 * * [simplify]: Extracting #5: cost 18 inf + 3412 29.114 * * [simplify]: Extracting #6: cost 0 inf + 5728 29.117 * * [simplify]: Extracting #7: cost 0 inf + 5448 29.119 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 29.119 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 29.120 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 29.120 * [simplify]: Simplifying (/ 1 2) 29.120 * * [simplify]: iters left: 2 (3 enodes) 29.123 * * [simplify]: iters left: 1 (12 enodes) 29.128 * * [simplify]: Extracting #0: cost 1 inf + 0 29.128 * * [simplify]: Extracting #1: cost 0 inf + 1 29.128 * [simplify]: Simplified to 1/2 29.128 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re))))) 29.128 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 29.128 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 29.128 * * [simplify]: iters left: 6 (7 enodes) 29.131 * * [simplify]: iters left: 5 (22 enodes) 29.137 * * [simplify]: Extracting #0: cost 1 inf + 0 29.137 * * [simplify]: Extracting #1: cost 3 inf + 0 29.137 * * [simplify]: Extracting #2: cost 5 inf + 0 29.137 * * [simplify]: Extracting #3: cost 8 inf + 0 29.137 * * [simplify]: Extracting #4: cost 12 inf + 0 29.137 * * [simplify]: Extracting #5: cost 10 inf + 2 29.138 * * [simplify]: Extracting #6: cost 1 inf + 936 29.138 * * [simplify]: Extracting #7: cost 0 inf + 1138 29.139 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 29.139 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 29.139 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 29.139 * * [simplify]: iters left: 6 (7 enodes) 29.141 * * [simplify]: iters left: 5 (22 enodes) 29.144 * * [simplify]: Extracting #0: cost 1 inf + 0 29.144 * * [simplify]: Extracting #1: cost 3 inf + 0 29.144 * * [simplify]: Extracting #2: cost 5 inf + 0 29.144 * * [simplify]: Extracting #3: cost 8 inf + 0 29.144 * * [simplify]: Extracting #4: cost 12 inf + 0 29.144 * * [simplify]: Extracting #5: cost 10 inf + 2 29.144 * * [simplify]: Extracting #6: cost 1 inf + 936 29.144 * * [simplify]: Extracting #7: cost 0 inf + 1138 29.145 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 29.145 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 29.145 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 29.145 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 29.145 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 29.145 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* re re) (* im im)))) 29.145 * * [simplify]: iters left: 6 (7 enodes) 29.146 * * [simplify]: iters left: 5 (19 enodes) 29.149 * * [simplify]: Extracting #0: cost 1 inf + 0 29.149 * * [simplify]: Extracting #1: cost 2 inf + 0 29.149 * * [simplify]: Extracting #2: cost 3 inf + 0 29.149 * * [simplify]: Extracting #3: cost 6 inf + 0 29.149 * * [simplify]: Extracting #4: cost 10 inf + 0 29.149 * * [simplify]: Extracting #5: cost 6 inf + 84 29.149 * * [simplify]: Extracting #6: cost 0 inf + 734 29.149 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* re re) (* im im)))) 29.149 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) 29.150 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 29.150 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 29.150 * * [simplify]: iters left: 6 (9 enodes) 29.152 * * [simplify]: iters left: 5 (30 enodes) 29.156 * * [simplify]: iters left: 4 (34 enodes) 29.161 * * [simplify]: iters left: 3 (39 enodes) 29.169 * * [simplify]: iters left: 2 (44 enodes) 29.178 * * [simplify]: iters left: 1 (52 enodes) 29.193 * * [simplify]: Extracting #0: cost 1 inf + 0 29.193 * * [simplify]: Extracting #1: cost 9 inf + 0 29.194 * * [simplify]: Extracting #2: cost 15 inf + 1 29.194 * * [simplify]: Extracting #3: cost 17 inf + 2 29.194 * * [simplify]: Extracting #4: cost 18 inf + 114 29.194 * * [simplify]: Extracting #5: cost 15 inf + 601 29.195 * * [simplify]: Extracting #6: cost 7 inf + 1413 29.196 * * [simplify]: Extracting #7: cost 0 inf + 3047 29.197 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 29.197 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 29.197 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 29.197 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 29.197 * [simplify]: Simplifying (log (- (sqrt (+ (* re re) (* im im))) re)) 29.198 * * [simplify]: iters left: 6 (8 enodes) 29.200 * * [simplify]: iters left: 5 (27 enodes) 29.204 * * [simplify]: iters left: 4 (30 enodes) 29.208 * * [simplify]: Extracting #0: cost 1 inf + 0 29.208 * * [simplify]: Extracting #1: cost 3 inf + 0 29.208 * * [simplify]: Extracting #2: cost 7 inf + 0 29.208 * * [simplify]: Extracting #3: cost 9 inf + 1 29.208 * * [simplify]: Extracting #4: cost 10 inf + 83 29.208 * * [simplify]: Extracting #5: cost 12 inf + 124 29.208 * * [simplify]: Extracting #6: cost 9 inf + 207 29.209 * * [simplify]: Extracting #7: cost 5 inf + 654 29.209 * * [simplify]: Extracting #8: cost 1 inf + 1492 29.209 * * [simplify]: Extracting #9: cost 0 inf + 1764 29.210 * [simplify]: Simplified to (log (- (sqrt (+ (* re re) (* im im))) re)) 29.210 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (exp (log (- (sqrt (+ (* re re) (* im im))) re))))))) 29.210 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 29.210 * [simplify]: Simplifying (exp (- (sqrt (+ (* re re) (* im im))) re)) 29.210 * * [simplify]: iters left: 6 (8 enodes) 29.212 * * [simplify]: iters left: 5 (30 enodes) 29.216 * * [simplify]: iters left: 4 (39 enodes) 29.221 * * [simplify]: iters left: 3 (44 enodes) 29.228 * * [simplify]: iters left: 2 (52 enodes) 29.243 * * [simplify]: iters left: 1 (58 enodes) 29.260 * * [simplify]: Extracting #0: cost 1 inf + 0 29.260 * * [simplify]: Extracting #1: cost 10 inf + 0 29.260 * * [simplify]: Extracting #2: cost 18 inf + 1 29.261 * * [simplify]: Extracting #3: cost 20 inf + 2 29.261 * * [simplify]: Extracting #4: cost 20 inf + 225 29.261 * * [simplify]: Extracting #5: cost 17 inf + 793 29.262 * * [simplify]: Extracting #6: cost 10 inf + 1403 29.262 * * [simplify]: Extracting #7: cost 2 inf + 3139 29.264 * * [simplify]: Extracting #8: cost 0 inf + 3643 29.265 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 29.265 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 29.265 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 29.266 * [simplify]: Simplifying (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 29.266 * * [simplify]: iters left: 6 (9 enodes) 29.270 * * [simplify]: iters left: 5 (30 enodes) 29.278 * * [simplify]: iters left: 4 (33 enodes) 29.289 * * [simplify]: Extracting #0: cost 1 inf + 0 29.289 * * [simplify]: Extracting #1: cost 3 inf + 0 29.289 * * [simplify]: Extracting #2: cost 5 inf + 0 29.289 * * [simplify]: Extracting #3: cost 9 inf + 0 29.289 * * [simplify]: Extracting #4: cost 11 inf + 1 29.289 * * [simplify]: Extracting #5: cost 12 inf + 83 29.289 * * [simplify]: Extracting #6: cost 14 inf + 124 29.289 * * [simplify]: Extracting #7: cost 10 inf + 248 29.289 * * [simplify]: Extracting #8: cost 8 inf + 532 29.289 * * [simplify]: Extracting #9: cost 4 inf + 1300 29.290 * * [simplify]: Extracting #10: cost 0 inf + 2428 29.290 * [simplify]: Simplified to (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 29.290 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 29.291 * [simplify]: Simplifying (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 29.291 * * [simplify]: iters left: 6 (8 enodes) 29.292 * * [simplify]: iters left: 5 (27 enodes) 29.296 * * [simplify]: iters left: 4 (30 enodes) 29.300 * * [simplify]: Extracting #0: cost 1 inf + 0 29.300 * * [simplify]: Extracting #1: cost 3 inf + 0 29.300 * * [simplify]: Extracting #2: cost 7 inf + 0 29.300 * * [simplify]: Extracting #3: cost 9 inf + 1 29.300 * * [simplify]: Extracting #4: cost 10 inf + 83 29.300 * * [simplify]: Extracting #5: cost 12 inf + 124 29.300 * * [simplify]: Extracting #6: cost 9 inf + 207 29.300 * * [simplify]: Extracting #7: cost 5 inf + 654 29.301 * * [simplify]: Extracting #8: cost 1 inf + 1502 29.301 * * [simplify]: Extracting #9: cost 0 inf + 1784 29.301 * [simplify]: Simplified to (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 29.301 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 29.301 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 29.302 * [simplify]: Simplifying (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) 29.302 * * [simplify]: iters left: 6 (9 enodes) 29.304 * * [simplify]: iters left: 5 (31 enodes) 29.308 * * [simplify]: iters left: 4 (48 enodes) 29.321 * * [simplify]: iters left: 3 (127 enodes) 29.373 * * [simplify]: iters left: 2 (288 enodes) 29.534 * * [simplify]: Extracting #0: cost 1 inf + 0 29.534 * * [simplify]: Extracting #1: cost 26 inf + 0 29.535 * * [simplify]: Extracting #2: cost 131 inf + 1 29.536 * * [simplify]: Extracting #3: cost 147 inf + 126 29.536 * * [simplify]: Extracting #4: cost 136 inf + 1219 29.538 * * [simplify]: Extracting #5: cost 111 inf + 6035 29.544 * * [simplify]: Extracting #6: cost 24 inf + 31274 29.554 * * [simplify]: Extracting #7: cost 0 inf + 39635 29.564 * [simplify]: Simplified to (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) 29.564 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))))))) 29.565 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 29.565 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 29.565 * * [simplify]: iters left: 6 (8 enodes) 29.567 * * [simplify]: iters left: 5 (27 enodes) 29.573 * * [simplify]: iters left: 4 (30 enodes) 29.581 * * [simplify]: Extracting #0: cost 1 inf + 0 29.581 * * [simplify]: Extracting #1: cost 3 inf + 0 29.581 * * [simplify]: Extracting #2: cost 7 inf + 0 29.581 * * [simplify]: Extracting #3: cost 9 inf + 1 29.581 * * [simplify]: Extracting #4: cost 10 inf + 83 29.581 * * [simplify]: Extracting #5: cost 12 inf + 124 29.581 * * [simplify]: Extracting #6: cost 9 inf + 207 29.582 * * [simplify]: Extracting #7: cost 5 inf + 654 29.582 * * [simplify]: Extracting #8: cost 1 inf + 1462 29.583 * * [simplify]: Extracting #9: cost 0 inf + 1704 29.583 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 29.583 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 29.584 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 29.584 * * [simplify]: iters left: 6 (8 enodes) 29.587 * * [simplify]: iters left: 5 (27 enodes) 29.595 * * [simplify]: iters left: 4 (30 enodes) 29.603 * * [simplify]: Extracting #0: cost 1 inf + 0 29.603 * * [simplify]: Extracting #1: cost 3 inf + 0 29.603 * * [simplify]: Extracting #2: cost 7 inf + 0 29.603 * * [simplify]: Extracting #3: cost 9 inf + 1 29.603 * * [simplify]: Extracting #4: cost 10 inf + 83 29.603 * * [simplify]: Extracting #5: cost 12 inf + 124 29.603 * * [simplify]: Extracting #6: cost 9 inf + 207 29.604 * * [simplify]: Extracting #7: cost 5 inf + 654 29.604 * * [simplify]: Extracting #8: cost 1 inf + 1462 29.605 * * [simplify]: Extracting #9: cost 0 inf + 1704 29.605 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 29.605 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 29.606 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 29.606 * [simplify]: Simplifying (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 29.606 * * [simplify]: iters left: 6 (10 enodes) 29.612 * * [simplify]: iters left: 5 (45 enodes) 29.635 * * [simplify]: iters left: 4 (83 enodes) 29.665 * * [simplify]: iters left: 3 (163 enodes) 29.705 * * [simplify]: iters left: 2 (323 enodes) 29.822 * * [simplify]: Extracting #0: cost 1 inf + 0 29.822 * * [simplify]: Extracting #1: cost 23 inf + 0 29.822 * * [simplify]: Extracting #2: cost 120 inf + 0 29.823 * * [simplify]: Extracting #3: cost 164 inf + 1056 29.825 * * [simplify]: Extracting #4: cost 139 inf + 6962 29.828 * * [simplify]: Extracting #5: cost 103 inf + 23009 29.835 * * [simplify]: Extracting #6: cost 31 inf + 68655 29.854 * * [simplify]: Extracting #7: cost 0 inf + 90859 29.864 * [simplify]: Simplified to (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) 29.864 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))) 29.864 * [simplify]: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) 29.864 * * [simplify]: iters left: 6 (10 enodes) 29.866 * * [simplify]: iters left: 5 (36 enodes) 29.872 * * [simplify]: iters left: 4 (60 enodes) 29.883 * * [simplify]: iters left: 3 (83 enodes) 29.902 * * [simplify]: iters left: 2 (101 enodes) 29.914 * * [simplify]: Extracting #0: cost 1 inf + 0 29.915 * * [simplify]: Extracting #1: cost 12 inf + 0 29.915 * * [simplify]: Extracting #2: cost 28 inf + 0 29.915 * * [simplify]: Extracting #3: cost 26 inf + 206 29.915 * * [simplify]: Extracting #4: cost 18 inf + 978 29.916 * * [simplify]: Extracting #5: cost 4 inf + 4126 29.917 * * [simplify]: Extracting #6: cost 0 inf + 5174 29.919 * [simplify]: Simplified to (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im)))) 29.919 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im))))))))) 29.919 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 29.919 * [simplify]: Simplifying (- re) 29.919 * * [simplify]: iters left: 2 (2 enodes) 29.919 * * [simplify]: iters left: 1 (6 enodes) 29.920 * * [simplify]: Extracting #0: cost 1 inf + 0 29.920 * * [simplify]: Extracting #1: cost 3 inf + 0 29.920 * * [simplify]: Extracting #2: cost 2 inf + 1 29.920 * * [simplify]: Extracting #3: cost 0 inf + 83 29.920 * [simplify]: Simplified to (- re) 29.921 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) (- re)))))) 29.921 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 29.921 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 29.921 * [simplify]: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) 29.921 * * [simplify]: iters left: 6 (8 enodes) 29.923 * * [simplify]: iters left: 5 (28 enodes) 29.930 * * [simplify]: iters left: 4 (50 enodes) 29.946 * * [simplify]: iters left: 3 (80 enodes) 29.974 * * [simplify]: iters left: 2 (147 enodes) 30.047 * * [simplify]: iters left: 1 (361 enodes) 30.581 * * [simplify]: Extracting #0: cost 1 inf + 0 30.582 * * [simplify]: Extracting #1: cost 86 inf + 0 30.584 * * [simplify]: Extracting #2: cost 391 inf + 43 30.589 * * [simplify]: Extracting #3: cost 351 inf + 6321 30.607 * * [simplify]: Extracting #4: cost 205 inf + 43328 30.653 * * [simplify]: Extracting #5: cost 11 inf + 107071 30.709 * * [simplify]: Extracting #6: cost 0 inf + 110217 30.746 * [simplify]: Simplified to (* im im) 30.746 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) 30.746 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 30.746 * * [simplify]: iters left: 6 (7 enodes) 30.748 * * [simplify]: iters left: 5 (23 enodes) 30.751 * * [simplify]: Extracting #0: cost 1 inf + 0 30.751 * * [simplify]: Extracting #1: cost 4 inf + 0 30.751 * * [simplify]: Extracting #2: cost 5 inf + 1 30.751 * * [simplify]: Extracting #3: cost 8 inf + 1 30.751 * * [simplify]: Extracting #4: cost 10 inf + 42 30.751 * * [simplify]: Extracting #5: cost 8 inf + 84 30.751 * * [simplify]: Extracting #6: cost 1 inf + 936 30.752 * * [simplify]: Extracting #7: cost 0 inf + 1138 30.752 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 30.752 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) 30.752 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 30.753 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.753 * * [simplify]: iters left: 6 (9 enodes) 30.757 * * [simplify]: iters left: 5 (29 enodes) 30.764 * * [simplify]: Extracting #0: cost 1 inf + 0 30.764 * * [simplify]: Extracting #1: cost 4 inf + 0 30.764 * * [simplify]: Extracting #2: cost 8 inf + 0 30.764 * * [simplify]: Extracting #3: cost 9 inf + 1 30.764 * * [simplify]: Extracting #4: cost 11 inf + 42 30.764 * * [simplify]: Extracting #5: cost 12 inf + 124 30.765 * * [simplify]: Extracting #6: cost 8 inf + 248 30.765 * * [simplify]: Extracting #7: cost 5 inf + 654 30.765 * * [simplify]: Extracting #8: cost 2 inf + 1300 30.766 * * [simplify]: Extracting #9: cost 0 inf + 1784 30.766 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 30.767 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 30.767 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.767 * * [simplify]: iters left: 6 (9 enodes) 30.771 * * [simplify]: iters left: 5 (30 enodes) 30.779 * * [simplify]: iters left: 4 (33 enodes) 30.788 * * [simplify]: Extracting #0: cost 1 inf + 0 30.788 * * [simplify]: Extracting #1: cost 5 inf + 0 30.788 * * [simplify]: Extracting #2: cost 10 inf + 0 30.788 * * [simplify]: Extracting #3: cost 11 inf + 1 30.788 * * [simplify]: Extracting #4: cost 10 inf + 245 30.788 * * [simplify]: Extracting #5: cost 12 inf + 286 30.788 * * [simplify]: Extracting #6: cost 8 inf + 410 30.789 * * [simplify]: Extracting #7: cost 6 inf + 694 30.789 * * [simplify]: Extracting #8: cost 1 inf + 1744 30.790 * * [simplify]: Extracting #9: cost 0 inf + 1946 30.791 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.791 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 30.791 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 30.791 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.791 * * [simplify]: iters left: 6 (9 enodes) 30.795 * * [simplify]: iters left: 5 (29 enodes) 30.804 * * [simplify]: Extracting #0: cost 1 inf + 0 30.804 * * [simplify]: Extracting #1: cost 4 inf + 0 30.804 * * [simplify]: Extracting #2: cost 8 inf + 0 30.804 * * [simplify]: Extracting #3: cost 9 inf + 1 30.804 * * [simplify]: Extracting #4: cost 11 inf + 42 30.804 * * [simplify]: Extracting #5: cost 12 inf + 124 30.804 * * [simplify]: Extracting #6: cost 8 inf + 248 30.805 * * [simplify]: Extracting #7: cost 5 inf + 654 30.805 * * [simplify]: Extracting #8: cost 2 inf + 1300 30.806 * * [simplify]: Extracting #9: cost 0 inf + 1784 30.806 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 30.807 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 30.807 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.807 * * [simplify]: iters left: 6 (9 enodes) 30.811 * * [simplify]: iters left: 5 (30 enodes) 30.820 * * [simplify]: iters left: 4 (33 enodes) 30.828 * * [simplify]: Extracting #0: cost 1 inf + 0 30.828 * * [simplify]: Extracting #1: cost 5 inf + 0 30.828 * * [simplify]: Extracting #2: cost 10 inf + 0 30.828 * * [simplify]: Extracting #3: cost 11 inf + 1 30.828 * * [simplify]: Extracting #4: cost 10 inf + 245 30.829 * * [simplify]: Extracting #5: cost 12 inf + 286 30.829 * * [simplify]: Extracting #6: cost 8 inf + 410 30.829 * * [simplify]: Extracting #7: cost 6 inf + 694 30.829 * * [simplify]: Extracting #8: cost 1 inf + 1744 30.830 * * [simplify]: Extracting #9: cost 0 inf + 1946 30.830 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 30.830 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 30.830 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 30.830 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 30.830 * * [simplify]: iters left: 6 (7 enodes) 30.832 * * [simplify]: iters left: 5 (24 enodes) 30.835 * * [simplify]: iters left: 4 (27 enodes) 30.839 * * [simplify]: Extracting #0: cost 1 inf + 0 30.839 * * [simplify]: Extracting #1: cost 5 inf + 0 30.839 * * [simplify]: Extracting #2: cost 7 inf + 1 30.839 * * [simplify]: Extracting #3: cost 8 inf + 83 30.839 * * [simplify]: Extracting #4: cost 10 inf + 124 30.839 * * [simplify]: Extracting #5: cost 6 inf + 248 30.839 * * [simplify]: Extracting #6: cost 3 inf + 654 30.839 * * [simplify]: Extracting #7: cost 1 inf + 1018 30.840 * * [simplify]: Extracting #8: cost 0 inf + 1220 30.840 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 30.840 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 30.840 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 30.840 * [simplify]: Simplifying (- re) 30.840 * * [simplify]: iters left: 2 (2 enodes) 30.841 * * [simplify]: iters left: 1 (6 enodes) 30.841 * * [simplify]: Extracting #0: cost 1 inf + 0 30.841 * * [simplify]: Extracting #1: cost 3 inf + 0 30.841 * * [simplify]: Extracting #2: cost 2 inf + 1 30.841 * * [simplify]: Extracting #3: cost 0 inf + 83 30.841 * [simplify]: Simplified to (- re) 30.842 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) (- re)))))) 30.842 * * * * [progress]: [ 45 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 30.842 * [simplify]: Simplifying (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) 30.842 * * [simplify]: iters left: 6 (8 enodes) 30.843 * * [simplify]: iters left: 5 (24 enodes) 30.847 * * [simplify]: iters left: 4 (27 enodes) 30.850 * * [simplify]: Extracting #0: cost 1 inf + 0 30.850 * * [simplify]: Extracting #1: cost 2 inf + 0 30.850 * * [simplify]: Extracting #2: cost 5 inf + 0 30.850 * * [simplify]: Extracting #3: cost 6 inf + 42 30.850 * * [simplify]: Extracting #4: cost 8 inf + 83 30.851 * * [simplify]: Extracting #5: cost 10 inf + 124 30.851 * * [simplify]: Extracting #6: cost 7 inf + 207 30.851 * * [simplify]: Extracting #7: cost 3 inf + 654 30.851 * * [simplify]: Extracting #8: cost 0 inf + 1220 30.851 * [simplify]: Simplified to (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) 30.851 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (posit16->real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))))))) 30.851 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 30.852 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 30.852 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 30.852 * * [simplify]: iters left: 6 (14 enodes) 30.855 * * [simplify]: iters left: 5 (50 enodes) 30.865 * * [simplify]: iters left: 4 (60 enodes) 30.881 * * [simplify]: Extracting #0: cost 1 inf + 0 30.881 * * [simplify]: Extracting #1: cost 5 inf + 0 30.881 * * [simplify]: Extracting #2: cost 10 inf + 0 30.881 * * [simplify]: Extracting #3: cost 14 inf + 0 30.881 * * [simplify]: Extracting #4: cost 23 inf + 0 30.881 * * [simplify]: Extracting #5: cost 24 inf + 44 30.882 * * [simplify]: Extracting #6: cost 17 inf + 729 30.882 * * [simplify]: Extracting #7: cost 13 inf + 1368 30.883 * * [simplify]: Extracting #8: cost 4 inf + 3396 30.885 * * [simplify]: Extracting #9: cost 0 inf + 4915 30.887 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 30.887 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 30.887 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 30.887 * [simplify]: Simplifying (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 30.888 * * [simplify]: iters left: 6 (13 enodes) 30.891 * * [simplify]: iters left: 5 (48 enodes) 30.898 * * [simplify]: iters left: 4 (61 enodes) 30.908 * * [simplify]: iters left: 3 (64 enodes) 30.917 * * [simplify]: Extracting #0: cost 1 inf + 0 30.917 * * [simplify]: Extracting #1: cost 6 inf + 0 30.917 * * [simplify]: Extracting #2: cost 12 inf + 0 30.917 * * [simplify]: Extracting #3: cost 16 inf + 0 30.917 * * [simplify]: Extracting #4: cost 25 inf + 0 30.917 * * [simplify]: Extracting #5: cost 27 inf + 3 30.917 * * [simplify]: Extracting #6: cost 20 inf + 687 30.917 * * [simplify]: Extracting #7: cost 13 inf + 1692 30.918 * * [simplify]: Extracting #8: cost 2 inf + 4716 30.919 * * [simplify]: Extracting #9: cost 0 inf + 5501 30.920 * [simplify]: Simplified to (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 30.920 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 30.920 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 30.920 * [simplify]: Simplifying (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 30.921 * * [simplify]: iters left: 6 (13 enodes) 30.924 * * [simplify]: iters left: 5 (45 enodes) 30.930 * * [simplify]: iters left: 4 (52 enodes) 30.937 * * [simplify]: Extracting #0: cost 1 inf + 0 30.937 * * [simplify]: Extracting #1: cost 3 inf + 0 30.937 * * [simplify]: Extracting #2: cost 6 inf + 0 30.937 * * [simplify]: Extracting #3: cost 10 inf + 0 30.937 * * [simplify]: Extracting #4: cost 19 inf + 0 30.938 * * [simplify]: Extracting #5: cost 20 inf + 44 30.938 * * [simplify]: Extracting #6: cost 16 inf + 413 30.938 * * [simplify]: Extracting #7: cost 9 inf + 1308 30.939 * * [simplify]: Extracting #8: cost 1 inf + 3356 30.939 * * [simplify]: Extracting #9: cost 0 inf + 3789 30.940 * [simplify]: Simplified to (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 30.940 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (log (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 30.940 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 30.941 * [simplify]: Simplifying (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 30.941 * * [simplify]: iters left: 6 (16 enodes) 30.948 * * [simplify]: iters left: 5 (59 enodes) 30.969 * * [simplify]: iters left: 4 (145 enodes) 31.042 * * [simplify]: iters left: 3 (477 enodes) 31.385 * * [simplify]: Extracting #0: cost 1 inf + 0 31.385 * * [simplify]: Extracting #1: cost 154 inf + 0 31.387 * * [simplify]: Extracting #2: cost 334 inf + 168 31.389 * * [simplify]: Extracting #3: cost 340 inf + 2952 31.391 * * [simplify]: Extracting #4: cost 319 inf + 5734 31.395 * * [simplify]: Extracting #5: cost 278 inf + 17268 31.414 * * [simplify]: Extracting #6: cost 131 inf + 71348 31.456 * * [simplify]: Extracting #7: cost 6 inf + 123679 31.499 * * [simplify]: Extracting #8: cost 0 inf + 126176 31.553 * [simplify]: Simplified to (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 31.553 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 31.554 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 31.554 * [simplify]: Simplifying (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 31.555 * * [simplify]: iters left: 6 (14 enodes) 31.561 * * [simplify]: iters left: 5 (48 enodes) 31.575 * * [simplify]: iters left: 4 (55 enodes) 31.590 * * [simplify]: Extracting #0: cost 1 inf + 0 31.590 * * [simplify]: Extracting #1: cost 3 inf + 0 31.590 * * [simplify]: Extracting #2: cost 5 inf + 0 31.591 * * [simplify]: Extracting #3: cost 8 inf + 0 31.591 * * [simplify]: Extracting #4: cost 12 inf + 0 31.591 * * [simplify]: Extracting #5: cost 21 inf + 0 31.591 * * [simplify]: Extracting #6: cost 23 inf + 3 31.591 * * [simplify]: Extracting #7: cost 16 inf + 618 31.592 * * [simplify]: Extracting #8: cost 11 inf + 1348 31.593 * * [simplify]: Extracting #9: cost 2 inf + 3929 31.594 * * [simplify]: Extracting #10: cost 0 inf + 4775 31.596 * [simplify]: Simplified to (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) 31.596 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 31.597 * [simplify]: Simplifying (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 31.597 * * [simplify]: iters left: 6 (13 enodes) 31.603 * * [simplify]: iters left: 5 (45 enodes) 31.615 * * [simplify]: iters left: 4 (52 enodes) 31.623 * * [simplify]: Extracting #0: cost 1 inf + 0 31.623 * * [simplify]: Extracting #1: cost 3 inf + 0 31.623 * * [simplify]: Extracting #2: cost 6 inf + 0 31.623 * * [simplify]: Extracting #3: cost 10 inf + 0 31.623 * * [simplify]: Extracting #4: cost 19 inf + 0 31.623 * * [simplify]: Extracting #5: cost 20 inf + 44 31.623 * * [simplify]: Extracting #6: cost 16 inf + 413 31.624 * * [simplify]: Extracting #7: cost 9 inf + 1308 31.624 * * [simplify]: Extracting #8: cost 1 inf + 3366 31.625 * * [simplify]: Extracting #9: cost 0 inf + 3809 31.625 * [simplify]: Simplified to (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 31.626 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 31.626 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 31.626 * [simplify]: Simplifying (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 31.626 * * [simplify]: iters left: 6 (14 enodes) 31.630 * * [simplify]: iters left: 5 (55 enodes) 31.640 * * [simplify]: iters left: 4 (88 enodes) 31.654 * * [simplify]: iters left: 3 (125 enodes) 31.676 * * [simplify]: iters left: 2 (216 enodes) 31.754 * * [simplify]: iters left: 1 (474 enodes) 32.074 * * [simplify]: Extracting #0: cost 1 inf + 0 32.074 * * [simplify]: Extracting #1: cost 138 inf + 0 32.076 * * [simplify]: Extracting #2: cost 289 inf + 248 32.078 * * [simplify]: Extracting #3: cost 280 inf + 3656 32.080 * * [simplify]: Extracting #4: cost 265 inf + 6398 32.083 * * [simplify]: Extracting #5: cost 256 inf + 8423 32.089 * * [simplify]: Extracting #6: cost 187 inf + 33561 32.118 * * [simplify]: Extracting #7: cost 14 inf + 113532 32.157 * * [simplify]: Extracting #8: cost 1 inf + 121613 32.218 * * [simplify]: Extracting #9: cost 0 inf + 122649 32.272 * [simplify]: Simplified to (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))) 32.272 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))))) 32.273 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 32.273 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 32.273 * * [simplify]: iters left: 6 (10 enodes) 32.276 * * [simplify]: iters left: 5 (38 enodes) 32.282 * * [simplify]: iters left: 4 (57 enodes) 32.291 * * [simplify]: iters left: 3 (84 enodes) 32.312 * * [simplify]: iters left: 2 (124 enodes) 32.347 * * [simplify]: iters left: 1 (145 enodes) 32.366 * * [simplify]: Extracting #0: cost 1 inf + 0 32.367 * * [simplify]: Extracting #1: cost 16 inf + 0 32.367 * * [simplify]: Extracting #2: cost 41 inf + 2 32.367 * * [simplify]: Extracting #3: cost 47 inf + 375 32.367 * * [simplify]: Extracting #4: cost 36 inf + 1443 32.368 * * [simplify]: Extracting #5: cost 22 inf + 4155 32.370 * * [simplify]: Extracting #6: cost 0 inf + 8968 32.372 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 32.372 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 32.372 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 32.373 * [simplify]: Simplifying (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.373 * * [simplify]: iters left: 6 (13 enodes) 32.379 * * [simplify]: iters left: 5 (45 enodes) 32.392 * * [simplify]: iters left: 4 (52 enodes) 32.405 * * [simplify]: Extracting #0: cost 1 inf + 0 32.405 * * [simplify]: Extracting #1: cost 3 inf + 0 32.405 * * [simplify]: Extracting #2: cost 6 inf + 0 32.405 * * [simplify]: Extracting #3: cost 10 inf + 0 32.405 * * [simplify]: Extracting #4: cost 19 inf + 0 32.406 * * [simplify]: Extracting #5: cost 20 inf + 44 32.406 * * [simplify]: Extracting #6: cost 16 inf + 413 32.406 * * [simplify]: Extracting #7: cost 9 inf + 1308 32.407 * * [simplify]: Extracting #8: cost 1 inf + 3326 32.409 * * [simplify]: Extracting #9: cost 0 inf + 3729 32.410 * [simplify]: Simplified to (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 32.410 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.411 * [simplify]: Simplifying (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.411 * * [simplify]: iters left: 6 (13 enodes) 32.417 * * [simplify]: iters left: 5 (45 enodes) 32.429 * * [simplify]: iters left: 4 (52 enodes) 32.444 * * [simplify]: Extracting #0: cost 1 inf + 0 32.444 * * [simplify]: Extracting #1: cost 3 inf + 0 32.444 * * [simplify]: Extracting #2: cost 6 inf + 0 32.444 * * [simplify]: Extracting #3: cost 10 inf + 0 32.444 * * [simplify]: Extracting #4: cost 19 inf + 0 32.444 * * [simplify]: Extracting #5: cost 20 inf + 44 32.444 * * [simplify]: Extracting #6: cost 16 inf + 413 32.445 * * [simplify]: Extracting #7: cost 9 inf + 1308 32.446 * * [simplify]: Extracting #8: cost 1 inf + 3326 32.447 * * [simplify]: Extracting #9: cost 0 inf + 3729 32.449 * [simplify]: Simplified to (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 32.449 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 32.449 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 32.449 * [simplify]: Simplifying (- (sqrt (* 2.0 (* im im)))) 32.449 * * [simplify]: iters left: 6 (6 enodes) 32.452 * * [simplify]: iters left: 5 (21 enodes) 32.459 * * [simplify]: iters left: 4 (25 enodes) 32.468 * * [simplify]: Extracting #0: cost 1 inf + 0 32.468 * * [simplify]: Extracting #1: cost 3 inf + 0 32.468 * * [simplify]: Extracting #2: cost 5 inf + 0 32.468 * * [simplify]: Extracting #3: cost 10 inf + 0 32.468 * * [simplify]: Extracting #4: cost 10 inf + 2 32.468 * * [simplify]: Extracting #5: cost 1 inf + 738 32.469 * * [simplify]: Extracting #6: cost 0 inf + 900 32.469 * [simplify]: Simplified to (- (sqrt (* 2.0 (* im im)))) 32.469 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (sqrt (* 2.0 (* im im)))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 32.470 * [simplify]: Simplifying (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 32.470 * * [simplify]: iters left: 6 (9 enodes) 32.473 * * [simplify]: iters left: 5 (30 enodes) 32.482 * * [simplify]: iters left: 4 (33 enodes) 32.490 * * [simplify]: Extracting #0: cost 1 inf + 0 32.490 * * [simplify]: Extracting #1: cost 3 inf + 0 32.490 * * [simplify]: Extracting #2: cost 5 inf + 0 32.490 * * [simplify]: Extracting #3: cost 9 inf + 0 32.490 * * [simplify]: Extracting #4: cost 11 inf + 1 32.491 * * [simplify]: Extracting #5: cost 12 inf + 83 32.491 * * [simplify]: Extracting #6: cost 14 inf + 124 32.491 * * [simplify]: Extracting #7: cost 10 inf + 248 32.491 * * [simplify]: Extracting #8: cost 8 inf + 532 32.492 * * [simplify]: Extracting #9: cost 4 inf + 1260 32.492 * * [simplify]: Extracting #10: cost 0 inf + 2268 32.493 * [simplify]: Simplified to (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 32.493 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (- (sqrt (* 2.0 (* im im)))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 32.493 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 32.494 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 32.494 * * [simplify]: iters left: 6 (16 enodes) 32.502 * * [simplify]: iters left: 5 (60 enodes) 32.513 * * [simplify]: iters left: 4 (82 enodes) 32.525 * * [simplify]: iters left: 3 (89 enodes) 32.538 * * [simplify]: iters left: 2 (92 enodes) 32.562 * * [simplify]: Extracting #0: cost 1 inf + 0 32.562 * * [simplify]: Extracting #1: cost 11 inf + 0 32.562 * * [simplify]: Extracting #2: cost 22 inf + 0 32.562 * * [simplify]: Extracting #3: cost 26 inf + 0 32.563 * * [simplify]: Extracting #4: cost 35 inf + 0 32.563 * * [simplify]: Extracting #5: cost 37 inf + 3 32.563 * * [simplify]: Extracting #6: cost 29 inf + 739 32.564 * * [simplify]: Extracting #7: cost 25 inf + 1588 32.564 * * [simplify]: Extracting #8: cost 23 inf + 1751 32.565 * * [simplify]: Extracting #9: cost 16 inf + 3165 32.567 * * [simplify]: Extracting #10: cost 1 inf + 10566 32.569 * * [simplify]: Extracting #11: cost 0 inf + 11049 32.571 * [simplify]: Simplified to (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 32.571 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.571 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.571 * * [simplify]: iters left: 6 (14 enodes) 32.575 * * [simplify]: iters left: 5 (48 enodes) 32.583 * * [simplify]: iters left: 4 (55 enodes) 32.597 * * [simplify]: Extracting #0: cost 1 inf + 0 32.597 * * [simplify]: Extracting #1: cost 4 inf + 0 32.598 * * [simplify]: Extracting #2: cost 8 inf + 0 32.598 * * [simplify]: Extracting #3: cost 12 inf + 0 32.598 * * [simplify]: Extracting #4: cost 21 inf + 0 32.598 * * [simplify]: Extracting #5: cost 22 inf + 44 32.598 * * [simplify]: Extracting #6: cost 14 inf + 861 32.599 * * [simplify]: Extracting #7: cost 10 inf + 1510 32.600 * * [simplify]: Extracting #8: cost 2 inf + 3526 32.601 * * [simplify]: Extracting #9: cost 0 inf + 4291 32.602 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.602 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.603 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 32.603 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 32.603 * * [simplify]: iters left: 6 (16 enodes) 32.611 * * [simplify]: iters left: 5 (57 enodes) 32.628 * * [simplify]: iters left: 4 (68 enodes) 32.639 * * [simplify]: iters left: 3 (71 enodes) 32.649 * * [simplify]: Extracting #0: cost 1 inf + 0 32.649 * * [simplify]: Extracting #1: cost 7 inf + 0 32.649 * * [simplify]: Extracting #2: cost 15 inf + 0 32.649 * * [simplify]: Extracting #3: cost 20 inf + 0 32.649 * * [simplify]: Extracting #4: cost 29 inf + 0 32.649 * * [simplify]: Extracting #5: cost 30 inf + 44 32.650 * * [simplify]: Extracting #6: cost 22 inf + 861 32.650 * * [simplify]: Extracting #7: cost 18 inf + 1710 32.650 * * [simplify]: Extracting #8: cost 10 inf + 3205 32.652 * * [simplify]: Extracting #9: cost 3 inf + 6102 32.653 * * [simplify]: Extracting #10: cost 0 inf + 7671 32.654 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.654 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.655 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.655 * * [simplify]: iters left: 6 (14 enodes) 32.658 * * [simplify]: iters left: 5 (48 enodes) 32.670 * * [simplify]: iters left: 4 (55 enodes) 32.685 * * [simplify]: Extracting #0: cost 1 inf + 0 32.685 * * [simplify]: Extracting #1: cost 4 inf + 0 32.685 * * [simplify]: Extracting #2: cost 8 inf + 0 32.685 * * [simplify]: Extracting #3: cost 12 inf + 0 32.685 * * [simplify]: Extracting #4: cost 21 inf + 0 32.686 * * [simplify]: Extracting #5: cost 22 inf + 44 32.686 * * [simplify]: Extracting #6: cost 14 inf + 861 32.686 * * [simplify]: Extracting #7: cost 10 inf + 1510 32.687 * * [simplify]: Extracting #8: cost 2 inf + 3566 32.689 * * [simplify]: Extracting #9: cost 0 inf + 4371 32.690 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.690 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.690 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 32.691 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.691 * * [simplify]: iters left: 6 (15 enodes) 32.700 * * [simplify]: iters left: 5 (53 enodes) 32.716 * * [simplify]: iters left: 4 (64 enodes) 32.733 * * [simplify]: iters left: 3 (67 enodes) 32.751 * * [simplify]: Extracting #0: cost 1 inf + 0 32.751 * * [simplify]: Extracting #1: cost 7 inf + 0 32.751 * * [simplify]: Extracting #2: cost 14 inf + 0 32.751 * * [simplify]: Extracting #3: cost 18 inf + 0 32.751 * * [simplify]: Extracting #4: cost 27 inf + 0 32.751 * * [simplify]: Extracting #5: cost 29 inf + 3 32.751 * * [simplify]: Extracting #6: cost 20 inf + 941 32.752 * * [simplify]: Extracting #7: cost 15 inf + 1832 32.753 * * [simplify]: Extracting #8: cost 7 inf + 3407 32.755 * * [simplify]: Extracting #9: cost 2 inf + 5661 32.756 * * [simplify]: Extracting #10: cost 0 inf + 6627 32.757 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.758 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.758 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.758 * * [simplify]: iters left: 6 (14 enodes) 32.761 * * [simplify]: iters left: 5 (48 enodes) 32.768 * * [simplify]: iters left: 4 (55 enodes) 32.776 * * [simplify]: Extracting #0: cost 1 inf + 0 32.776 * * [simplify]: Extracting #1: cost 4 inf + 0 32.776 * * [simplify]: Extracting #2: cost 8 inf + 0 32.776 * * [simplify]: Extracting #3: cost 12 inf + 0 32.776 * * [simplify]: Extracting #4: cost 21 inf + 0 32.777 * * [simplify]: Extracting #5: cost 22 inf + 44 32.777 * * [simplify]: Extracting #6: cost 14 inf + 861 32.777 * * [simplify]: Extracting #7: cost 10 inf + 1510 32.778 * * [simplify]: Extracting #8: cost 2 inf + 3406 32.778 * * [simplify]: Extracting #9: cost 0 inf + 4131 32.779 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 32.779 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 32.779 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 32.779 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 32.779 * * [simplify]: iters left: 6 (10 enodes) 32.783 * * [simplify]: iters left: 5 (37 enodes) 32.793 * * [simplify]: iters left: 4 (47 enodes) 32.806 * * [simplify]: iters left: 3 (51 enodes) 32.819 * * [simplify]: iters left: 2 (52 enodes) 32.831 * * [simplify]: Extracting #0: cost 1 inf + 0 32.831 * * [simplify]: Extracting #1: cost 5 inf + 0 32.831 * * [simplify]: Extracting #2: cost 7 inf + 1 32.831 * * [simplify]: Extracting #3: cost 9 inf + 1 32.831 * * [simplify]: Extracting #4: cost 14 inf + 1 32.831 * * [simplify]: Extracting #5: cost 14 inf + 3 32.832 * * [simplify]: Extracting #6: cost 8 inf + 333 32.832 * * [simplify]: Extracting #7: cost 3 inf + 1223 32.832 * * [simplify]: Extracting #8: cost 0 inf + 1951 32.833 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 32.833 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 32.833 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 32.833 * * [simplify]: iters left: 6 (13 enodes) 32.836 * * [simplify]: iters left: 5 (45 enodes) 32.843 * * [simplify]: iters left: 4 (52 enodes) 32.850 * * [simplify]: Extracting #0: cost 1 inf + 0 32.850 * * [simplify]: Extracting #1: cost 4 inf + 0 32.850 * * [simplify]: Extracting #2: cost 8 inf + 0 32.850 * * [simplify]: Extracting #3: cost 14 inf + 0 32.850 * * [simplify]: Extracting #4: cost 20 inf + 42 32.850 * * [simplify]: Extracting #5: cost 21 inf + 85 32.850 * * [simplify]: Extracting #6: cost 13 inf + 940 32.851 * * [simplify]: Extracting #7: cost 1 inf + 3044 32.852 * * [simplify]: Extracting #8: cost 0 inf + 3487 32.852 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 32.852 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 32.852 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 32.852 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 32.853 * * [simplify]: iters left: 6 (16 enodes) 32.857 * * [simplify]: iters left: 5 (55 enodes) 32.872 * * [simplify]: iters left: 4 (63 enodes) 32.889 * * [simplify]: iters left: 3 (66 enodes) 32.906 * * [simplify]: Extracting #0: cost 1 inf + 0 32.906 * * [simplify]: Extracting #1: cost 7 inf + 0 32.906 * * [simplify]: Extracting #2: cost 14 inf + 0 32.907 * * [simplify]: Extracting #3: cost 19 inf + 0 32.907 * * [simplify]: Extracting #4: cost 28 inf + 0 32.907 * * [simplify]: Extracting #5: cost 28 inf + 44 32.907 * * [simplify]: Extracting #6: cost 23 inf + 615 32.908 * * [simplify]: Extracting #7: cost 16 inf + 1710 32.909 * * [simplify]: Extracting #8: cost 10 inf + 2681 32.910 * * [simplify]: Extracting #9: cost 3 inf + 5418 32.912 * * [simplify]: Extracting #10: cost 0 inf + 7027 32.913 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 32.913 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 32.913 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 32.914 * * [simplify]: iters left: 6 (15 enodes) 32.917 * * [simplify]: iters left: 5 (51 enodes) 32.925 * * [simplify]: iters left: 4 (58 enodes) 32.935 * * [simplify]: Extracting #0: cost 1 inf + 0 32.935 * * [simplify]: Extracting #1: cost 4 inf + 0 32.935 * * [simplify]: Extracting #2: cost 8 inf + 0 32.935 * * [simplify]: Extracting #3: cost 14 inf + 0 32.935 * * [simplify]: Extracting #4: cost 24 inf + 0 32.935 * * [simplify]: Extracting #5: cost 21 inf + 247 32.935 * * [simplify]: Extracting #6: cost 15 inf + 981 32.936 * * [simplify]: Extracting #7: cost 10 inf + 1672 32.936 * * [simplify]: Extracting #8: cost 3 inf + 3165 32.937 * * [simplify]: Extracting #9: cost 0 inf + 4533 32.938 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 32.938 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 32.938 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 32.938 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 32.938 * * [simplify]: iters left: 6 (16 enodes) 32.942 * * [simplify]: iters left: 5 (55 enodes) 32.952 * * [simplify]: iters left: 4 (63 enodes) 32.970 * * [simplify]: iters left: 3 (66 enodes) 32.986 * * [simplify]: Extracting #0: cost 1 inf + 0 32.986 * * [simplify]: Extracting #1: cost 7 inf + 0 32.986 * * [simplify]: Extracting #2: cost 14 inf + 0 32.986 * * [simplify]: Extracting #3: cost 19 inf + 0 32.987 * * [simplify]: Extracting #4: cost 28 inf + 0 32.987 * * [simplify]: Extracting #5: cost 28 inf + 44 32.987 * * [simplify]: Extracting #6: cost 23 inf + 615 32.987 * * [simplify]: Extracting #7: cost 16 inf + 1710 32.988 * * [simplify]: Extracting #8: cost 10 inf + 2681 32.988 * * [simplify]: Extracting #9: cost 3 inf + 5418 32.989 * * [simplify]: Extracting #10: cost 0 inf + 7027 32.991 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 32.991 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 32.991 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 32.991 * * [simplify]: iters left: 6 (15 enodes) 32.995 * * [simplify]: iters left: 5 (51 enodes) 33.002 * * [simplify]: iters left: 4 (58 enodes) 33.010 * * [simplify]: Extracting #0: cost 1 inf + 0 33.010 * * [simplify]: Extracting #1: cost 4 inf + 0 33.011 * * [simplify]: Extracting #2: cost 8 inf + 0 33.011 * * [simplify]: Extracting #3: cost 14 inf + 0 33.011 * * [simplify]: Extracting #4: cost 24 inf + 0 33.011 * * [simplify]: Extracting #5: cost 21 inf + 247 33.011 * * [simplify]: Extracting #6: cost 15 inf + 981 33.011 * * [simplify]: Extracting #7: cost 10 inf + 1672 33.012 * * [simplify]: Extracting #8: cost 3 inf + 3165 33.013 * * [simplify]: Extracting #9: cost 0 inf + 4533 33.015 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.015 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.015 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 33.015 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 33.015 * * [simplify]: iters left: 6 (10 enodes) 33.021 * * [simplify]: iters left: 5 (37 enodes) 33.027 * * [simplify]: iters left: 4 (47 enodes) 33.036 * * [simplify]: iters left: 3 (51 enodes) 33.043 * * [simplify]: iters left: 2 (52 enodes) 33.050 * * [simplify]: Extracting #0: cost 1 inf + 0 33.050 * * [simplify]: Extracting #1: cost 5 inf + 0 33.050 * * [simplify]: Extracting #2: cost 7 inf + 1 33.050 * * [simplify]: Extracting #3: cost 9 inf + 1 33.050 * * [simplify]: Extracting #4: cost 14 inf + 1 33.050 * * [simplify]: Extracting #5: cost 14 inf + 3 33.051 * * [simplify]: Extracting #6: cost 8 inf + 333 33.051 * * [simplify]: Extracting #7: cost 3 inf + 1223 33.052 * * [simplify]: Extracting #8: cost 0 inf + 1951 33.053 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 33.053 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.053 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.053 * * [simplify]: iters left: 6 (13 enodes) 33.059 * * [simplify]: iters left: 5 (45 enodes) 33.071 * * [simplify]: iters left: 4 (52 enodes) 33.079 * * [simplify]: Extracting #0: cost 1 inf + 0 33.079 * * [simplify]: Extracting #1: cost 4 inf + 0 33.079 * * [simplify]: Extracting #2: cost 8 inf + 0 33.079 * * [simplify]: Extracting #3: cost 14 inf + 0 33.079 * * [simplify]: Extracting #4: cost 20 inf + 42 33.079 * * [simplify]: Extracting #5: cost 21 inf + 85 33.079 * * [simplify]: Extracting #6: cost 13 inf + 940 33.080 * * [simplify]: Extracting #7: cost 1 inf + 3044 33.080 * * [simplify]: Extracting #8: cost 0 inf + 3487 33.081 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.081 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.081 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 33.081 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.081 * * [simplify]: iters left: 6 (15 enodes) 33.085 * * [simplify]: iters left: 5 (53 enodes) 33.093 * * [simplify]: iters left: 4 (64 enodes) 33.104 * * [simplify]: iters left: 3 (67 enodes) 33.123 * * [simplify]: Extracting #0: cost 1 inf + 0 33.123 * * [simplify]: Extracting #1: cost 7 inf + 0 33.123 * * [simplify]: Extracting #2: cost 14 inf + 0 33.123 * * [simplify]: Extracting #3: cost 18 inf + 0 33.123 * * [simplify]: Extracting #4: cost 27 inf + 0 33.124 * * [simplify]: Extracting #5: cost 29 inf + 3 33.124 * * [simplify]: Extracting #6: cost 20 inf + 941 33.125 * * [simplify]: Extracting #7: cost 15 inf + 1832 33.126 * * [simplify]: Extracting #8: cost 7 inf + 3407 33.127 * * [simplify]: Extracting #9: cost 2 inf + 5661 33.130 * * [simplify]: Extracting #10: cost 0 inf + 6627 33.132 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.132 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.132 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.132 * * [simplify]: iters left: 6 (14 enodes) 33.138 * * [simplify]: iters left: 5 (48 enodes) 33.147 * * [simplify]: iters left: 4 (55 enodes) 33.155 * * [simplify]: Extracting #0: cost 1 inf + 0 33.155 * * [simplify]: Extracting #1: cost 4 inf + 0 33.155 * * [simplify]: Extracting #2: cost 8 inf + 0 33.155 * * [simplify]: Extracting #3: cost 12 inf + 0 33.155 * * [simplify]: Extracting #4: cost 21 inf + 0 33.155 * * [simplify]: Extracting #5: cost 22 inf + 44 33.155 * * [simplify]: Extracting #6: cost 14 inf + 861 33.155 * * [simplify]: Extracting #7: cost 10 inf + 1510 33.156 * * [simplify]: Extracting #8: cost 2 inf + 3406 33.156 * * [simplify]: Extracting #9: cost 0 inf + 4131 33.157 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.157 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.157 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 33.158 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 33.158 * * [simplify]: iters left: 6 (9 enodes) 33.161 * * [simplify]: iters left: 5 (32 enodes) 33.169 * * [simplify]: iters left: 4 (46 enodes) 33.183 * * [simplify]: iters left: 3 (47 enodes) 33.194 * * [simplify]: Extracting #0: cost 1 inf + 0 33.194 * * [simplify]: Extracting #1: cost 5 inf + 0 33.194 * * [simplify]: Extracting #2: cost 7 inf + 1 33.194 * * [simplify]: Extracting #3: cost 9 inf + 1 33.194 * * [simplify]: Extracting #4: cost 14 inf + 1 33.194 * * [simplify]: Extracting #5: cost 14 inf + 3 33.194 * * [simplify]: Extracting #6: cost 11 inf + 168 33.195 * * [simplify]: Extracting #7: cost 4 inf + 1022 33.195 * * [simplify]: Extracting #8: cost 0 inf + 1951 33.195 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 33.195 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.196 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.196 * * [simplify]: iters left: 6 (13 enodes) 33.199 * * [simplify]: iters left: 5 (45 enodes) 33.206 * * [simplify]: iters left: 4 (52 enodes) 33.213 * * [simplify]: Extracting #0: cost 1 inf + 0 33.213 * * [simplify]: Extracting #1: cost 4 inf + 0 33.213 * * [simplify]: Extracting #2: cost 8 inf + 0 33.213 * * [simplify]: Extracting #3: cost 14 inf + 0 33.213 * * [simplify]: Extracting #4: cost 20 inf + 42 33.213 * * [simplify]: Extracting #5: cost 21 inf + 85 33.213 * * [simplify]: Extracting #6: cost 13 inf + 940 33.214 * * [simplify]: Extracting #7: cost 1 inf + 3044 33.214 * * [simplify]: Extracting #8: cost 0 inf + 3487 33.215 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.215 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.215 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 33.215 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.216 * * [simplify]: iters left: 6 (13 enodes) 33.219 * * [simplify]: iters left: 5 (44 enodes) 33.226 * * [simplify]: iters left: 4 (49 enodes) 33.238 * * [simplify]: Extracting #0: cost 1 inf + 0 33.238 * * [simplify]: Extracting #1: cost 6 inf + 0 33.238 * * [simplify]: Extracting #2: cost 12 inf + 0 33.238 * * [simplify]: Extracting #3: cost 13 inf + 1 33.238 * * [simplify]: Extracting #4: cost 16 inf + 42 33.238 * * [simplify]: Extracting #5: cost 16 inf + 125 33.239 * * [simplify]: Extracting #6: cost 18 inf + 166 33.239 * * [simplify]: Extracting #7: cost 20 inf + 207 33.239 * * [simplify]: Extracting #8: cost 17 inf + 290 33.239 * * [simplify]: Extracting #9: cost 10 inf + 1343 33.239 * * [simplify]: Extracting #10: cost 2 inf + 4001 33.240 * * [simplify]: Extracting #11: cost 0 inf + 4847 33.241 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.241 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.241 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.241 * * [simplify]: iters left: 6 (11 enodes) 33.246 * * [simplify]: iters left: 5 (37 enodes) 33.251 * * [simplify]: iters left: 4 (40 enodes) 33.256 * * [simplify]: Extracting #0: cost 1 inf + 0 33.256 * * [simplify]: Extracting #1: cost 4 inf + 0 33.256 * * [simplify]: Extracting #2: cost 9 inf + 0 33.256 * * [simplify]: Extracting #3: cost 11 inf + 1 33.256 * * [simplify]: Extracting #4: cost 11 inf + 165 33.256 * * [simplify]: Extracting #5: cost 13 inf + 166 33.256 * * [simplify]: Extracting #6: cost 13 inf + 248 33.256 * * [simplify]: Extracting #7: cost 11 inf + 533 33.257 * * [simplify]: Extracting #8: cost 6 inf + 1302 33.257 * * [simplify]: Extracting #9: cost 2 inf + 2430 33.258 * * [simplify]: Extracting #10: cost 1 inf + 2832 33.258 * * [simplify]: Extracting #11: cost 0 inf + 3234 33.259 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 33.259 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 33.259 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 33.259 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.259 * * [simplify]: iters left: 6 (13 enodes) 33.265 * * [simplify]: iters left: 5 (43 enodes) 33.277 * * [simplify]: iters left: 4 (46 enodes) 33.289 * * [simplify]: Extracting #0: cost 1 inf + 0 33.289 * * [simplify]: Extracting #1: cost 4 inf + 0 33.289 * * [simplify]: Extracting #2: cost 9 inf + 0 33.290 * * [simplify]: Extracting #3: cost 11 inf + 1 33.290 * * [simplify]: Extracting #4: cost 13 inf + 83 33.290 * * [simplify]: Extracting #5: cost 14 inf + 125 33.290 * * [simplify]: Extracting #6: cost 16 inf + 166 33.290 * * [simplify]: Extracting #7: cost 18 inf + 207 33.290 * * [simplify]: Extracting #8: cost 14 inf + 331 33.291 * * [simplify]: Extracting #9: cost 8 inf + 1383 33.292 * * [simplify]: Extracting #10: cost 1 inf + 3558 33.293 * * [simplify]: Extracting #11: cost 0 inf + 3961 33.294 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.294 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.295 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.295 * * [simplify]: iters left: 6 (11 enodes) 33.299 * * [simplify]: iters left: 5 (37 enodes) 33.309 * * [simplify]: iters left: 4 (40 enodes) 33.318 * * [simplify]: Extracting #0: cost 1 inf + 0 33.319 * * [simplify]: Extracting #1: cost 4 inf + 0 33.319 * * [simplify]: Extracting #2: cost 9 inf + 0 33.319 * * [simplify]: Extracting #3: cost 11 inf + 1 33.319 * * [simplify]: Extracting #4: cost 11 inf + 165 33.319 * * [simplify]: Extracting #5: cost 13 inf + 166 33.319 * * [simplify]: Extracting #6: cost 13 inf + 248 33.319 * * [simplify]: Extracting #7: cost 11 inf + 533 33.320 * * [simplify]: Extracting #8: cost 6 inf + 1302 33.321 * * [simplify]: Extracting #9: cost 2 inf + 2510 33.321 * * [simplify]: Extracting #10: cost 1 inf + 2912 33.322 * * [simplify]: Extracting #11: cost 0 inf + 3314 33.324 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 33.324 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 33.324 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 33.324 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.324 * * [simplify]: iters left: 6 (12 enodes) 33.330 * * [simplify]: iters left: 5 (39 enodes) 33.337 * * [simplify]: iters left: 4 (42 enodes) 33.343 * * [simplify]: Extracting #0: cost 1 inf + 0 33.343 * * [simplify]: Extracting #1: cost 4 inf + 0 33.343 * * [simplify]: Extracting #2: cost 8 inf + 0 33.343 * * [simplify]: Extracting #3: cost 9 inf + 1 33.343 * * [simplify]: Extracting #4: cost 11 inf + 83 33.343 * * [simplify]: Extracting #5: cost 12 inf + 125 33.343 * * [simplify]: Extracting #6: cost 14 inf + 166 33.343 * * [simplify]: Extracting #7: cost 16 inf + 207 33.343 * * [simplify]: Extracting #8: cost 13 inf + 290 33.344 * * [simplify]: Extracting #9: cost 8 inf + 899 33.344 * * [simplify]: Extracting #10: cost 4 inf + 1787 33.344 * * [simplify]: Extracting #11: cost 1 inf + 2714 33.345 * * [simplify]: Extracting #12: cost 0 inf + 3077 33.346 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.346 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.346 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.346 * * [simplify]: iters left: 6 (11 enodes) 33.348 * * [simplify]: iters left: 5 (37 enodes) 33.353 * * [simplify]: iters left: 4 (40 enodes) 33.363 * * [simplify]: Extracting #0: cost 1 inf + 0 33.363 * * [simplify]: Extracting #1: cost 4 inf + 0 33.363 * * [simplify]: Extracting #2: cost 9 inf + 0 33.363 * * [simplify]: Extracting #3: cost 11 inf + 1 33.363 * * [simplify]: Extracting #4: cost 11 inf + 165 33.363 * * [simplify]: Extracting #5: cost 13 inf + 166 33.363 * * [simplify]: Extracting #6: cost 13 inf + 248 33.364 * * [simplify]: Extracting #7: cost 11 inf + 533 33.364 * * [simplify]: Extracting #8: cost 6 inf + 1302 33.365 * * [simplify]: Extracting #9: cost 2 inf + 2350 33.366 * * [simplify]: Extracting #10: cost 1 inf + 2712 33.367 * * [simplify]: Extracting #11: cost 0 inf + 3074 33.368 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 33.368 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 33.368 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 33.368 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 33.368 * * [simplify]: iters left: 3 (5 enodes) 33.373 * * [simplify]: iters left: 2 (17 enodes) 33.376 * * [simplify]: iters left: 1 (19 enodes) 33.379 * * [simplify]: Extracting #0: cost 1 inf + 0 33.379 * * [simplify]: Extracting #1: cost 4 inf + 0 33.379 * * [simplify]: Extracting #2: cost 2 inf + 2 33.379 * * [simplify]: Extracting #3: cost 0 inf + 84 33.379 * [simplify]: Simplified to (sqrt 2.0) 33.380 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.380 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.380 * * [simplify]: iters left: 6 (10 enodes) 33.382 * * [simplify]: iters left: 5 (34 enodes) 33.387 * * [simplify]: iters left: 4 (37 enodes) 33.392 * * [simplify]: Extracting #0: cost 1 inf + 0 33.392 * * [simplify]: Extracting #1: cost 4 inf + 0 33.392 * * [simplify]: Extracting #2: cost 9 inf + 0 33.392 * * [simplify]: Extracting #3: cost 13 inf + 1 33.392 * * [simplify]: Extracting #4: cost 10 inf + 207 33.392 * * [simplify]: Extracting #5: cost 11 inf + 248 33.392 * * [simplify]: Extracting #6: cost 9 inf + 533 33.392 * * [simplify]: Extracting #7: cost 5 inf + 1100 33.393 * * [simplify]: Extracting #8: cost 1 inf + 2108 33.393 * * [simplify]: Extracting #9: cost 0 inf + 2430 33.393 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 33.394 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 33.394 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 33.394 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.394 * * [simplify]: iters left: 6 (13 enodes) 33.397 * * [simplify]: iters left: 5 (41 enodes) 33.406 * * [simplify]: Extracting #0: cost 1 inf + 0 33.406 * * [simplify]: Extracting #1: cost 4 inf + 0 33.406 * * [simplify]: Extracting #2: cost 8 inf + 0 33.406 * * [simplify]: Extracting #3: cost 10 inf + 1 33.407 * * [simplify]: Extracting #4: cost 12 inf + 83 33.407 * * [simplify]: Extracting #5: cost 12 inf + 125 33.407 * * [simplify]: Extracting #6: cost 14 inf + 166 33.407 * * [simplify]: Extracting #7: cost 16 inf + 207 33.407 * * [simplify]: Extracting #8: cost 13 inf + 290 33.407 * * [simplify]: Extracting #9: cost 10 inf + 615 33.408 * * [simplify]: Extracting #10: cost 5 inf + 1705 33.409 * * [simplify]: Extracting #11: cost 1 inf + 2914 33.410 * * [simplify]: Extracting #12: cost 0 inf + 3317 33.411 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.411 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.412 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.412 * * [simplify]: iters left: 6 (12 enodes) 33.417 * * [simplify]: iters left: 5 (40 enodes) 33.427 * * [simplify]: iters left: 4 (43 enodes) 33.435 * * [simplify]: Extracting #0: cost 1 inf + 0 33.435 * * [simplify]: Extracting #1: cost 4 inf + 0 33.435 * * [simplify]: Extracting #2: cost 9 inf + 0 33.435 * * [simplify]: Extracting #3: cost 13 inf + 1 33.435 * * [simplify]: Extracting #4: cost 15 inf + 124 33.435 * * [simplify]: Extracting #5: cost 15 inf + 166 33.435 * * [simplify]: Extracting #6: cost 14 inf + 329 33.435 * * [simplify]: Extracting #7: cost 12 inf + 573 33.436 * * [simplify]: Extracting #8: cost 6 inf + 1544 33.436 * * [simplify]: Extracting #9: cost 0 inf + 3476 33.437 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 33.437 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 33.437 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 33.437 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.437 * * [simplify]: iters left: 6 (13 enodes) 33.441 * * [simplify]: iters left: 5 (41 enodes) 33.447 * * [simplify]: Extracting #0: cost 1 inf + 0 33.447 * * [simplify]: Extracting #1: cost 4 inf + 0 33.447 * * [simplify]: Extracting #2: cost 8 inf + 0 33.447 * * [simplify]: Extracting #3: cost 10 inf + 1 33.447 * * [simplify]: Extracting #4: cost 12 inf + 83 33.447 * * [simplify]: Extracting #5: cost 12 inf + 125 33.447 * * [simplify]: Extracting #6: cost 14 inf + 166 33.447 * * [simplify]: Extracting #7: cost 16 inf + 207 33.447 * * [simplify]: Extracting #8: cost 13 inf + 290 33.448 * * [simplify]: Extracting #9: cost 10 inf + 615 33.448 * * [simplify]: Extracting #10: cost 5 inf + 1705 33.448 * * [simplify]: Extracting #11: cost 1 inf + 2914 33.449 * * [simplify]: Extracting #12: cost 0 inf + 3317 33.449 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.449 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.450 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.450 * * [simplify]: iters left: 6 (12 enodes) 33.452 * * [simplify]: iters left: 5 (40 enodes) 33.457 * * [simplify]: iters left: 4 (43 enodes) 33.465 * * [simplify]: Extracting #0: cost 1 inf + 0 33.465 * * [simplify]: Extracting #1: cost 4 inf + 0 33.465 * * [simplify]: Extracting #2: cost 9 inf + 0 33.465 * * [simplify]: Extracting #3: cost 13 inf + 1 33.465 * * [simplify]: Extracting #4: cost 15 inf + 124 33.465 * * [simplify]: Extracting #5: cost 15 inf + 166 33.465 * * [simplify]: Extracting #6: cost 14 inf + 329 33.465 * * [simplify]: Extracting #7: cost 12 inf + 573 33.465 * * [simplify]: Extracting #8: cost 6 inf + 1544 33.466 * * [simplify]: Extracting #9: cost 0 inf + 3476 33.467 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 33.467 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 33.467 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 33.467 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 33.467 * * [simplify]: iters left: 3 (5 enodes) 33.471 * * [simplify]: iters left: 2 (17 enodes) 33.477 * * [simplify]: iters left: 1 (19 enodes) 33.483 * * [simplify]: Extracting #0: cost 1 inf + 0 33.483 * * [simplify]: Extracting #1: cost 4 inf + 0 33.483 * * [simplify]: Extracting #2: cost 2 inf + 2 33.483 * * [simplify]: Extracting #3: cost 0 inf + 84 33.483 * [simplify]: Simplified to (sqrt 2.0) 33.483 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.484 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.484 * * [simplify]: iters left: 6 (10 enodes) 33.488 * * [simplify]: iters left: 5 (34 enodes) 33.497 * * [simplify]: iters left: 4 (37 enodes) 33.506 * * [simplify]: Extracting #0: cost 1 inf + 0 33.506 * * [simplify]: Extracting #1: cost 4 inf + 0 33.506 * * [simplify]: Extracting #2: cost 9 inf + 0 33.506 * * [simplify]: Extracting #3: cost 13 inf + 1 33.507 * * [simplify]: Extracting #4: cost 10 inf + 207 33.507 * * [simplify]: Extracting #5: cost 11 inf + 248 33.507 * * [simplify]: Extracting #6: cost 9 inf + 533 33.507 * * [simplify]: Extracting #7: cost 5 inf + 1100 33.508 * * [simplify]: Extracting #8: cost 1 inf + 2108 33.509 * * [simplify]: Extracting #9: cost 0 inf + 2430 33.509 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 33.509 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 33.510 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 33.510 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.510 * * [simplify]: iters left: 6 (12 enodes) 33.515 * * [simplify]: iters left: 5 (39 enodes) 33.525 * * [simplify]: iters left: 4 (42 enodes) 33.534 * * [simplify]: Extracting #0: cost 1 inf + 0 33.534 * * [simplify]: Extracting #1: cost 4 inf + 0 33.534 * * [simplify]: Extracting #2: cost 8 inf + 0 33.534 * * [simplify]: Extracting #3: cost 9 inf + 1 33.534 * * [simplify]: Extracting #4: cost 11 inf + 83 33.534 * * [simplify]: Extracting #5: cost 12 inf + 125 33.534 * * [simplify]: Extracting #6: cost 14 inf + 166 33.534 * * [simplify]: Extracting #7: cost 16 inf + 207 33.535 * * [simplify]: Extracting #8: cost 13 inf + 290 33.535 * * [simplify]: Extracting #9: cost 8 inf + 899 33.535 * * [simplify]: Extracting #10: cost 4 inf + 1787 33.535 * * [simplify]: Extracting #11: cost 1 inf + 2714 33.536 * * [simplify]: Extracting #12: cost 0 inf + 3077 33.537 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.537 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.537 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.537 * * [simplify]: iters left: 6 (11 enodes) 33.539 * * [simplify]: iters left: 5 (37 enodes) 33.544 * * [simplify]: iters left: 4 (40 enodes) 33.549 * * [simplify]: Extracting #0: cost 1 inf + 0 33.549 * * [simplify]: Extracting #1: cost 4 inf + 0 33.549 * * [simplify]: Extracting #2: cost 9 inf + 0 33.550 * * [simplify]: Extracting #3: cost 11 inf + 1 33.550 * * [simplify]: Extracting #4: cost 11 inf + 165 33.550 * * [simplify]: Extracting #5: cost 13 inf + 166 33.550 * * [simplify]: Extracting #6: cost 13 inf + 248 33.550 * * [simplify]: Extracting #7: cost 11 inf + 533 33.550 * * [simplify]: Extracting #8: cost 6 inf + 1302 33.551 * * [simplify]: Extracting #9: cost 2 inf + 2350 33.551 * * [simplify]: Extracting #10: cost 1 inf + 2712 33.551 * * [simplify]: Extracting #11: cost 0 inf + 3074 33.552 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 33.552 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 33.552 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 33.552 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 33.552 * * [simplify]: iters left: 3 (4 enodes) 33.554 * * [simplify]: iters left: 2 (12 enodes) 33.557 * * [simplify]: iters left: 1 (14 enodes) 33.560 * * [simplify]: Extracting #0: cost 1 inf + 0 33.560 * * [simplify]: Extracting #1: cost 4 inf + 0 33.560 * * [simplify]: Extracting #2: cost 0 inf + 84 33.560 * [simplify]: Simplified to (sqrt 2.0) 33.560 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.561 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.561 * * [simplify]: iters left: 6 (10 enodes) 33.564 * * [simplify]: iters left: 5 (34 enodes) 33.576 * * [simplify]: iters left: 4 (37 enodes) 33.585 * * [simplify]: Extracting #0: cost 1 inf + 0 33.585 * * [simplify]: Extracting #1: cost 4 inf + 0 33.585 * * [simplify]: Extracting #2: cost 9 inf + 0 33.585 * * [simplify]: Extracting #3: cost 13 inf + 1 33.585 * * [simplify]: Extracting #4: cost 10 inf + 207 33.586 * * [simplify]: Extracting #5: cost 11 inf + 248 33.586 * * [simplify]: Extracting #6: cost 9 inf + 533 33.586 * * [simplify]: Extracting #7: cost 5 inf + 1100 33.587 * * [simplify]: Extracting #8: cost 1 inf + 2108 33.588 * * [simplify]: Extracting #9: cost 0 inf + 2430 33.589 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 33.589 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 33.589 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 33.589 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.590 * * [simplify]: iters left: 6 (15 enodes) 33.597 * * [simplify]: iters left: 5 (53 enodes) 33.613 * * [simplify]: iters left: 4 (62 enodes) 33.630 * * [simplify]: Extracting #0: cost 1 inf + 0 33.630 * * [simplify]: Extracting #1: cost 6 inf + 0 33.630 * * [simplify]: Extracting #2: cost 12 inf + 0 33.631 * * [simplify]: Extracting #3: cost 16 inf + 0 33.631 * * [simplify]: Extracting #4: cost 25 inf + 0 33.631 * * [simplify]: Extracting #5: cost 27 inf + 3 33.631 * * [simplify]: Extracting #6: cost 19 inf + 819 33.632 * * [simplify]: Extracting #7: cost 14 inf + 1470 33.633 * * [simplify]: Extracting #8: cost 5 inf + 3567 33.634 * * [simplify]: Extracting #9: cost 0 inf + 5901 33.636 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.636 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.637 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.637 * * [simplify]: iters left: 6 (14 enodes) 33.643 * * [simplify]: iters left: 5 (48 enodes) 33.657 * * [simplify]: iters left: 4 (55 enodes) 33.666 * * [simplify]: Extracting #0: cost 1 inf + 0 33.666 * * [simplify]: Extracting #1: cost 4 inf + 0 33.666 * * [simplify]: Extracting #2: cost 8 inf + 0 33.666 * * [simplify]: Extracting #3: cost 12 inf + 0 33.666 * * [simplify]: Extracting #4: cost 21 inf + 0 33.667 * * [simplify]: Extracting #5: cost 22 inf + 44 33.667 * * [simplify]: Extracting #6: cost 14 inf + 821 33.667 * * [simplify]: Extracting #7: cost 10 inf + 1430 33.668 * * [simplify]: Extracting #8: cost 2 inf + 3406 33.668 * * [simplify]: Extracting #9: cost 0 inf + 4131 33.669 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.669 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.669 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 33.669 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 33.669 * * [simplify]: iters left: 6 (15 enodes) 33.673 * * [simplify]: iters left: 5 (52 enodes) 33.680 * * [simplify]: iters left: 4 (59 enodes) 33.688 * * [simplify]: Extracting #0: cost 1 inf + 0 33.688 * * [simplify]: Extracting #1: cost 4 inf + 0 33.689 * * [simplify]: Extracting #2: cost 9 inf + 0 33.689 * * [simplify]: Extracting #3: cost 14 inf + 0 33.689 * * [simplify]: Extracting #4: cost 23 inf + 0 33.689 * * [simplify]: Extracting #5: cost 24 inf + 44 33.689 * * [simplify]: Extracting #6: cost 19 inf + 575 33.689 * * [simplify]: Extracting #7: cost 13 inf + 1308 33.690 * * [simplify]: Extracting #8: cost 5 inf + 2963 33.690 * * [simplify]: Extracting #9: cost 0 inf + 4855 33.691 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.691 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.691 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.692 * * [simplify]: iters left: 6 (14 enodes) 33.701 * * [simplify]: iters left: 5 (48 enodes) 33.714 * * [simplify]: iters left: 4 (55 enodes) 33.729 * * [simplify]: Extracting #0: cost 1 inf + 0 33.729 * * [simplify]: Extracting #1: cost 4 inf + 0 33.729 * * [simplify]: Extracting #2: cost 8 inf + 0 33.729 * * [simplify]: Extracting #3: cost 12 inf + 0 33.729 * * [simplify]: Extracting #4: cost 21 inf + 0 33.729 * * [simplify]: Extracting #5: cost 22 inf + 44 33.730 * * [simplify]: Extracting #6: cost 14 inf + 821 33.730 * * [simplify]: Extracting #7: cost 10 inf + 1430 33.731 * * [simplify]: Extracting #8: cost 2 inf + 3446 33.733 * * [simplify]: Extracting #9: cost 0 inf + 4211 33.734 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.734 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.734 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 33.735 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.735 * * [simplify]: iters left: 6 (14 enodes) 33.741 * * [simplify]: iters left: 5 (48 enodes) 33.748 * * [simplify]: iters left: 4 (55 enodes) 33.756 * * [simplify]: Extracting #0: cost 1 inf + 0 33.756 * * [simplify]: Extracting #1: cost 4 inf + 0 33.756 * * [simplify]: Extracting #2: cost 8 inf + 0 33.756 * * [simplify]: Extracting #3: cost 12 inf + 0 33.756 * * [simplify]: Extracting #4: cost 21 inf + 0 33.756 * * [simplify]: Extracting #5: cost 22 inf + 44 33.756 * * [simplify]: Extracting #6: cost 14 inf + 821 33.756 * * [simplify]: Extracting #7: cost 10 inf + 1430 33.757 * * [simplify]: Extracting #8: cost 2 inf + 3286 33.758 * * [simplify]: Extracting #9: cost 0 inf + 3971 33.758 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.758 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.758 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.759 * * [simplify]: iters left: 6 (14 enodes) 33.762 * * [simplify]: iters left: 5 (48 enodes) 33.770 * * [simplify]: iters left: 4 (55 enodes) 33.784 * * [simplify]: Extracting #0: cost 1 inf + 0 33.784 * * [simplify]: Extracting #1: cost 4 inf + 0 33.784 * * [simplify]: Extracting #2: cost 8 inf + 0 33.784 * * [simplify]: Extracting #3: cost 12 inf + 0 33.784 * * [simplify]: Extracting #4: cost 21 inf + 0 33.784 * * [simplify]: Extracting #5: cost 22 inf + 44 33.785 * * [simplify]: Extracting #6: cost 14 inf + 821 33.785 * * [simplify]: Extracting #7: cost 10 inf + 1430 33.786 * * [simplify]: Extracting #8: cost 2 inf + 3286 33.787 * * [simplify]: Extracting #9: cost 0 inf + 3971 33.789 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 33.789 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 33.789 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 33.789 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 33.789 * * [simplify]: iters left: 6 (9 enodes) 33.796 * * [simplify]: iters left: 5 (32 enodes) 33.806 * * [simplify]: iters left: 4 (38 enodes) 33.817 * * [simplify]: iters left: 3 (40 enodes) 33.830 * * [simplify]: Extracting #0: cost 1 inf + 0 33.830 * * [simplify]: Extracting #1: cost 4 inf + 0 33.830 * * [simplify]: Extracting #2: cost 5 inf + 1 33.830 * * [simplify]: Extracting #3: cost 10 inf + 1 33.830 * * [simplify]: Extracting #4: cost 10 inf + 3 33.830 * * [simplify]: Extracting #5: cost 6 inf + 209 33.830 * * [simplify]: Extracting #6: cost 1 inf + 779 33.831 * * [simplify]: Extracting #7: cost 0 inf + 901 33.831 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 33.831 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.832 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.832 * * [simplify]: iters left: 6 (13 enodes) 33.838 * * [simplify]: iters left: 5 (45 enodes) 33.851 * * [simplify]: iters left: 4 (52 enodes) 33.865 * * [simplify]: Extracting #0: cost 1 inf + 0 33.865 * * [simplify]: Extracting #1: cost 4 inf + 0 33.865 * * [simplify]: Extracting #2: cost 8 inf + 0 33.865 * * [simplify]: Extracting #3: cost 14 inf + 0 33.865 * * [simplify]: Extracting #4: cost 20 inf + 42 33.865 * * [simplify]: Extracting #5: cost 21 inf + 85 33.865 * * [simplify]: Extracting #6: cost 13 inf + 900 33.866 * * [simplify]: Extracting #7: cost 1 inf + 2924 33.867 * * [simplify]: Extracting #8: cost 0 inf + 3327 33.869 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 33.869 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 33.869 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 33.869 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.869 * * [simplify]: iters left: 6 (15 enodes) 33.876 * * [simplify]: iters left: 5 (50 enodes) 33.890 * * [simplify]: iters left: 4 (54 enodes) 33.903 * * [simplify]: Extracting #0: cost 1 inf + 0 33.903 * * [simplify]: Extracting #1: cost 4 inf + 0 33.903 * * [simplify]: Extracting #2: cost 8 inf + 0 33.903 * * [simplify]: Extracting #3: cost 13 inf + 0 33.903 * * [simplify]: Extracting #4: cost 22 inf + 0 33.903 * * [simplify]: Extracting #5: cost 22 inf + 44 33.903 * * [simplify]: Extracting #6: cost 17 inf + 575 33.904 * * [simplify]: Extracting #7: cost 11 inf + 1308 33.904 * * [simplify]: Extracting #8: cost 4 inf + 2641 33.905 * * [simplify]: Extracting #9: cost 0 inf + 4211 33.905 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 33.905 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.906 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.906 * * [simplify]: iters left: 6 (15 enodes) 33.910 * * [simplify]: iters left: 5 (51 enodes) 33.917 * * [simplify]: iters left: 4 (58 enodes) 33.925 * * [simplify]: Extracting #0: cost 1 inf + 0 33.925 * * [simplify]: Extracting #1: cost 4 inf + 0 33.925 * * [simplify]: Extracting #2: cost 8 inf + 0 33.925 * * [simplify]: Extracting #3: cost 14 inf + 0 33.925 * * [simplify]: Extracting #4: cost 24 inf + 0 33.925 * * [simplify]: Extracting #5: cost 21 inf + 247 33.926 * * [simplify]: Extracting #6: cost 15 inf + 941 33.926 * * [simplify]: Extracting #7: cost 10 inf + 1592 33.926 * * [simplify]: Extracting #8: cost 3 inf + 3085 33.927 * * [simplify]: Extracting #9: cost 0 inf + 4373 33.928 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.928 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.928 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 33.928 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.928 * * [simplify]: iters left: 6 (15 enodes) 33.932 * * [simplify]: iters left: 5 (50 enodes) 33.939 * * [simplify]: iters left: 4 (54 enodes) 33.956 * * [simplify]: Extracting #0: cost 1 inf + 0 33.956 * * [simplify]: Extracting #1: cost 4 inf + 0 33.956 * * [simplify]: Extracting #2: cost 8 inf + 0 33.956 * * [simplify]: Extracting #3: cost 13 inf + 0 33.956 * * [simplify]: Extracting #4: cost 22 inf + 0 33.956 * * [simplify]: Extracting #5: cost 22 inf + 44 33.956 * * [simplify]: Extracting #6: cost 17 inf + 575 33.957 * * [simplify]: Extracting #7: cost 11 inf + 1308 33.958 * * [simplify]: Extracting #8: cost 4 inf + 2641 33.959 * * [simplify]: Extracting #9: cost 0 inf + 4211 33.960 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 33.961 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 33.961 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 33.961 * * [simplify]: iters left: 6 (15 enodes) 33.969 * * [simplify]: iters left: 5 (51 enodes) 33.983 * * [simplify]: iters left: 4 (58 enodes) 33.999 * * [simplify]: Extracting #0: cost 1 inf + 0 33.999 * * [simplify]: Extracting #1: cost 4 inf + 0 33.999 * * [simplify]: Extracting #2: cost 8 inf + 0 33.999 * * [simplify]: Extracting #3: cost 14 inf + 0 34.000 * * [simplify]: Extracting #4: cost 24 inf + 0 34.000 * * [simplify]: Extracting #5: cost 21 inf + 247 34.000 * * [simplify]: Extracting #6: cost 15 inf + 941 34.001 * * [simplify]: Extracting #7: cost 10 inf + 1592 34.002 * * [simplify]: Extracting #8: cost 3 inf + 3085 34.003 * * [simplify]: Extracting #9: cost 0 inf + 4373 34.004 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.004 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 34.005 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 34.005 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 34.005 * * [simplify]: iters left: 6 (9 enodes) 34.011 * * [simplify]: iters left: 5 (32 enodes) 34.021 * * [simplify]: iters left: 4 (38 enodes) 34.031 * * [simplify]: iters left: 3 (40 enodes) 34.041 * * [simplify]: Extracting #0: cost 1 inf + 0 34.041 * * [simplify]: Extracting #1: cost 4 inf + 0 34.041 * * [simplify]: Extracting #2: cost 5 inf + 1 34.041 * * [simplify]: Extracting #3: cost 10 inf + 1 34.041 * * [simplify]: Extracting #4: cost 10 inf + 3 34.041 * * [simplify]: Extracting #5: cost 6 inf + 209 34.041 * * [simplify]: Extracting #6: cost 1 inf + 779 34.042 * * [simplify]: Extracting #7: cost 0 inf + 901 34.042 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 34.042 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.043 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.043 * * [simplify]: iters left: 6 (13 enodes) 34.049 * * [simplify]: iters left: 5 (45 enodes) 34.062 * * [simplify]: iters left: 4 (52 enodes) 34.075 * * [simplify]: Extracting #0: cost 1 inf + 0 34.075 * * [simplify]: Extracting #1: cost 4 inf + 0 34.075 * * [simplify]: Extracting #2: cost 8 inf + 0 34.075 * * [simplify]: Extracting #3: cost 14 inf + 0 34.075 * * [simplify]: Extracting #4: cost 20 inf + 42 34.075 * * [simplify]: Extracting #5: cost 21 inf + 85 34.075 * * [simplify]: Extracting #6: cost 13 inf + 900 34.076 * * [simplify]: Extracting #7: cost 1 inf + 2924 34.076 * * [simplify]: Extracting #8: cost 0 inf + 3327 34.077 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.077 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.077 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 34.077 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.077 * * [simplify]: iters left: 6 (14 enodes) 34.081 * * [simplify]: iters left: 5 (48 enodes) 34.090 * * [simplify]: iters left: 4 (55 enodes) 34.097 * * [simplify]: Extracting #0: cost 1 inf + 0 34.097 * * [simplify]: Extracting #1: cost 4 inf + 0 34.097 * * [simplify]: Extracting #2: cost 8 inf + 0 34.097 * * [simplify]: Extracting #3: cost 12 inf + 0 34.097 * * [simplify]: Extracting #4: cost 21 inf + 0 34.098 * * [simplify]: Extracting #5: cost 22 inf + 44 34.098 * * [simplify]: Extracting #6: cost 14 inf + 821 34.098 * * [simplify]: Extracting #7: cost 10 inf + 1430 34.099 * * [simplify]: Extracting #8: cost 2 inf + 3286 34.099 * * [simplify]: Extracting #9: cost 0 inf + 3971 34.100 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.100 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.100 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.100 * * [simplify]: iters left: 6 (14 enodes) 34.103 * * [simplify]: iters left: 5 (48 enodes) 34.117 * * [simplify]: iters left: 4 (55 enodes) 34.132 * * [simplify]: Extracting #0: cost 1 inf + 0 34.132 * * [simplify]: Extracting #1: cost 4 inf + 0 34.132 * * [simplify]: Extracting #2: cost 8 inf + 0 34.132 * * [simplify]: Extracting #3: cost 12 inf + 0 34.132 * * [simplify]: Extracting #4: cost 21 inf + 0 34.132 * * [simplify]: Extracting #5: cost 22 inf + 44 34.133 * * [simplify]: Extracting #6: cost 14 inf + 821 34.133 * * [simplify]: Extracting #7: cost 10 inf + 1430 34.134 * * [simplify]: Extracting #8: cost 2 inf + 3286 34.136 * * [simplify]: Extracting #9: cost 0 inf + 3971 34.137 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.137 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.137 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 34.138 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 34.138 * * [simplify]: iters left: 6 (8 enodes) 34.142 * * [simplify]: iters left: 5 (27 enodes) 34.151 * * [simplify]: iters left: 4 (33 enodes) 34.161 * * [simplify]: iters left: 3 (35 enodes) 34.170 * * [simplify]: Extracting #0: cost 1 inf + 0 34.170 * * [simplify]: Extracting #1: cost 4 inf + 0 34.170 * * [simplify]: Extracting #2: cost 5 inf + 1 34.170 * * [simplify]: Extracting #3: cost 10 inf + 1 34.170 * * [simplify]: Extracting #4: cost 9 inf + 44 34.170 * * [simplify]: Extracting #5: cost 5 inf + 251 34.171 * * [simplify]: Extracting #6: cost 1 inf + 739 34.171 * * [simplify]: Extracting #7: cost 0 inf + 901 34.172 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 34.172 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.172 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.172 * * [simplify]: iters left: 6 (13 enodes) 34.178 * * [simplify]: iters left: 5 (45 enodes) 34.192 * * [simplify]: iters left: 4 (52 enodes) 34.206 * * [simplify]: Extracting #0: cost 1 inf + 0 34.206 * * [simplify]: Extracting #1: cost 4 inf + 0 34.206 * * [simplify]: Extracting #2: cost 8 inf + 0 34.206 * * [simplify]: Extracting #3: cost 14 inf + 0 34.206 * * [simplify]: Extracting #4: cost 20 inf + 42 34.206 * * [simplify]: Extracting #5: cost 21 inf + 85 34.207 * * [simplify]: Extracting #6: cost 13 inf + 900 34.207 * * [simplify]: Extracting #7: cost 1 inf + 2924 34.209 * * [simplify]: Extracting #8: cost 0 inf + 3327 34.210 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.210 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.210 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 34.210 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.210 * * [simplify]: iters left: 6 (12 enodes) 34.216 * * [simplify]: iters left: 5 (43 enodes) 34.231 * * [simplify]: iters left: 4 (50 enodes) 34.245 * * [simplify]: Extracting #0: cost 1 inf + 0 34.245 * * [simplify]: Extracting #1: cost 6 inf + 0 34.245 * * [simplify]: Extracting #2: cost 9 inf + 1 34.245 * * [simplify]: Extracting #3: cost 11 inf + 1 34.245 * * [simplify]: Extracting #4: cost 15 inf + 1 34.245 * * [simplify]: Extracting #5: cost 17 inf + 2 34.245 * * [simplify]: Extracting #6: cost 18 inf + 84 34.245 * * [simplify]: Extracting #7: cost 20 inf + 125 34.246 * * [simplify]: Extracting #8: cost 15 inf + 371 34.246 * * [simplify]: Extracting #9: cost 7 inf + 2027 34.247 * * [simplify]: Extracting #10: cost 1 inf + 4243 34.249 * * [simplify]: Extracting #11: cost 0 inf + 4605 34.250 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.250 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.251 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.251 * * [simplify]: iters left: 6 (13 enodes) 34.257 * * [simplify]: iters left: 5 (45 enodes) 34.269 * * [simplify]: iters left: 4 (52 enodes) 34.276 * * [simplify]: Extracting #0: cost 1 inf + 0 34.276 * * [simplify]: Extracting #1: cost 4 inf + 0 34.276 * * [simplify]: Extracting #2: cost 8 inf + 0 34.276 * * [simplify]: Extracting #3: cost 15 inf + 0 34.276 * * [simplify]: Extracting #4: cost 19 inf + 2 34.277 * * [simplify]: Extracting #5: cost 17 inf + 209 34.277 * * [simplify]: Extracting #6: cost 14 inf + 537 34.277 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.277 * * [simplify]: Extracting #8: cost 1 inf + 3284 34.278 * * [simplify]: Extracting #9: cost 0 inf + 3727 34.279 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.279 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 34.279 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 34.279 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.279 * * [simplify]: iters left: 6 (12 enodes) 34.282 * * [simplify]: iters left: 5 (42 enodes) 34.288 * * [simplify]: iters left: 4 (47 enodes) 34.295 * * [simplify]: Extracting #0: cost 1 inf + 0 34.295 * * [simplify]: Extracting #1: cost 4 inf + 0 34.295 * * [simplify]: Extracting #2: cost 6 inf + 1 34.295 * * [simplify]: Extracting #3: cost 9 inf + 1 34.295 * * [simplify]: Extracting #4: cost 13 inf + 1 34.295 * * [simplify]: Extracting #5: cost 14 inf + 43 34.295 * * [simplify]: Extracting #6: cost 16 inf + 84 34.295 * * [simplify]: Extracting #7: cost 18 inf + 125 34.295 * * [simplify]: Extracting #8: cost 16 inf + 167 34.296 * * [simplify]: Extracting #9: cost 13 inf + 371 34.296 * * [simplify]: Extracting #10: cost 9 inf + 1019 34.296 * * [simplify]: Extracting #11: cost 2 inf + 3114 34.297 * * [simplify]: Extracting #12: cost 0 inf + 3799 34.297 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.297 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.298 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.298 * * [simplify]: iters left: 6 (13 enodes) 34.301 * * [simplify]: iters left: 5 (45 enodes) 34.307 * * [simplify]: iters left: 4 (52 enodes) 34.314 * * [simplify]: Extracting #0: cost 1 inf + 0 34.314 * * [simplify]: Extracting #1: cost 4 inf + 0 34.314 * * [simplify]: Extracting #2: cost 8 inf + 0 34.314 * * [simplify]: Extracting #3: cost 15 inf + 0 34.314 * * [simplify]: Extracting #4: cost 19 inf + 2 34.315 * * [simplify]: Extracting #5: cost 17 inf + 209 34.315 * * [simplify]: Extracting #6: cost 14 inf + 537 34.315 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.316 * * [simplify]: Extracting #8: cost 1 inf + 3364 34.316 * * [simplify]: Extracting #9: cost 0 inf + 3807 34.317 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.317 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 34.317 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 34.317 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.317 * * [simplify]: iters left: 6 (11 enodes) 34.320 * * [simplify]: iters left: 5 (38 enodes) 34.328 * * [simplify]: iters left: 4 (43 enodes) 34.334 * * [simplify]: Extracting #0: cost 1 inf + 0 34.334 * * [simplify]: Extracting #1: cost 4 inf + 0 34.334 * * [simplify]: Extracting #2: cost 5 inf + 1 34.334 * * [simplify]: Extracting #3: cost 7 inf + 1 34.334 * * [simplify]: Extracting #4: cost 11 inf + 1 34.334 * * [simplify]: Extracting #5: cost 12 inf + 43 34.334 * * [simplify]: Extracting #6: cost 14 inf + 84 34.334 * * [simplify]: Extracting #7: cost 16 inf + 125 34.334 * * [simplify]: Extracting #8: cost 14 inf + 167 34.334 * * [simplify]: Extracting #9: cost 11 inf + 371 34.334 * * [simplify]: Extracting #10: cost 7 inf + 1019 34.335 * * [simplify]: Extracting #11: cost 3 inf + 1987 34.335 * * [simplify]: Extracting #12: cost 0 inf + 2915 34.336 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.336 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.336 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.336 * * [simplify]: iters left: 6 (13 enodes) 34.339 * * [simplify]: iters left: 5 (45 enodes) 34.346 * * [simplify]: iters left: 4 (52 enodes) 34.353 * * [simplify]: Extracting #0: cost 1 inf + 0 34.353 * * [simplify]: Extracting #1: cost 4 inf + 0 34.353 * * [simplify]: Extracting #2: cost 8 inf + 0 34.353 * * [simplify]: Extracting #3: cost 15 inf + 0 34.353 * * [simplify]: Extracting #4: cost 19 inf + 2 34.353 * * [simplify]: Extracting #5: cost 17 inf + 209 34.354 * * [simplify]: Extracting #6: cost 14 inf + 537 34.354 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.354 * * [simplify]: Extracting #8: cost 1 inf + 3164 34.355 * * [simplify]: Extracting #9: cost 0 inf + 3567 34.356 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.356 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 34.356 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 34.356 * [simplify]: Simplifying (/ 1 (sqrt 1)) 34.356 * * [simplify]: iters left: 3 (3 enodes) 34.360 * * [simplify]: iters left: 2 (11 enodes) 34.362 * * [simplify]: iters left: 1 (13 enodes) 34.364 * * [simplify]: Extracting #0: cost 1 inf + 0 34.364 * * [simplify]: Extracting #1: cost 0 inf + 1 34.364 * [simplify]: Simplified to 1 34.364 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.364 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.364 * * [simplify]: iters left: 6 (12 enodes) 34.369 * * [simplify]: iters left: 5 (42 enodes) 34.381 * * [simplify]: iters left: 4 (49 enodes) 34.393 * * [simplify]: Extracting #0: cost 1 inf + 0 34.394 * * [simplify]: Extracting #1: cost 4 inf + 0 34.394 * * [simplify]: Extracting #2: cost 8 inf + 0 34.394 * * [simplify]: Extracting #3: cost 17 inf + 0 34.394 * * [simplify]: Extracting #4: cost 19 inf + 3 34.394 * * [simplify]: Extracting #5: cost 14 inf + 374 34.395 * * [simplify]: Extracting #6: cost 7 inf + 1388 34.396 * * [simplify]: Extracting #7: cost 1 inf + 2560 34.397 * * [simplify]: Extracting #8: cost 0 inf + 2923 34.398 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 34.398 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 34.398 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 34.398 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.398 * * [simplify]: iters left: 6 (12 enodes) 34.404 * * [simplify]: iters left: 5 (40 enodes) 34.414 * * [simplify]: iters left: 4 (42 enodes) 34.425 * * [simplify]: Extracting #0: cost 1 inf + 0 34.425 * * [simplify]: Extracting #1: cost 4 inf + 0 34.426 * * [simplify]: Extracting #2: cost 5 inf + 1 34.426 * * [simplify]: Extracting #3: cost 8 inf + 1 34.426 * * [simplify]: Extracting #4: cost 12 inf + 1 34.426 * * [simplify]: Extracting #5: cost 13 inf + 2 34.426 * * [simplify]: Extracting #6: cost 14 inf + 84 34.426 * * [simplify]: Extracting #7: cost 16 inf + 125 34.426 * * [simplify]: Extracting #8: cost 14 inf + 167 34.426 * * [simplify]: Extracting #9: cost 10 inf + 493 34.427 * * [simplify]: Extracting #10: cost 4 inf + 1785 34.428 * * [simplify]: Extracting #11: cost 2 inf + 2470 34.428 * * [simplify]: Extracting #12: cost 0 inf + 3155 34.430 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.430 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 34.430 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.430 * * [simplify]: iters left: 6 (14 enodes) 34.439 * * [simplify]: iters left: 5 (48 enodes) 34.448 * * [simplify]: iters left: 4 (55 enodes) 34.456 * * [simplify]: Extracting #0: cost 1 inf + 0 34.456 * * [simplify]: Extracting #1: cost 4 inf + 0 34.456 * * [simplify]: Extracting #2: cost 8 inf + 0 34.456 * * [simplify]: Extracting #3: cost 17 inf + 0 34.456 * * [simplify]: Extracting #4: cost 22 inf + 2 34.456 * * [simplify]: Extracting #5: cost 15 inf + 577 34.457 * * [simplify]: Extracting #6: cost 14 inf + 740 34.457 * * [simplify]: Extracting #7: cost 9 inf + 1510 34.457 * * [simplify]: Extracting #8: cost 2 inf + 3244 34.458 * * [simplify]: Extracting #9: cost 0 inf + 3969 34.459 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 34.459 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 34.459 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 34.459 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.459 * * [simplify]: iters left: 6 (12 enodes) 34.462 * * [simplify]: iters left: 5 (40 enodes) 34.468 * * [simplify]: iters left: 4 (42 enodes) 34.474 * * [simplify]: Extracting #0: cost 1 inf + 0 34.474 * * [simplify]: Extracting #1: cost 4 inf + 0 34.474 * * [simplify]: Extracting #2: cost 5 inf + 1 34.474 * * [simplify]: Extracting #3: cost 8 inf + 1 34.474 * * [simplify]: Extracting #4: cost 12 inf + 1 34.474 * * [simplify]: Extracting #5: cost 13 inf + 2 34.474 * * [simplify]: Extracting #6: cost 14 inf + 84 34.474 * * [simplify]: Extracting #7: cost 16 inf + 125 34.474 * * [simplify]: Extracting #8: cost 14 inf + 167 34.475 * * [simplify]: Extracting #9: cost 10 inf + 493 34.475 * * [simplify]: Extracting #10: cost 4 inf + 1785 34.475 * * [simplify]: Extracting #11: cost 2 inf + 2470 34.476 * * [simplify]: Extracting #12: cost 0 inf + 3155 34.476 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.476 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 34.477 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.477 * * [simplify]: iters left: 6 (14 enodes) 34.480 * * [simplify]: iters left: 5 (48 enodes) 34.489 * * [simplify]: iters left: 4 (55 enodes) 34.504 * * [simplify]: Extracting #0: cost 1 inf + 0 34.504 * * [simplify]: Extracting #1: cost 4 inf + 0 34.504 * * [simplify]: Extracting #2: cost 8 inf + 0 34.504 * * [simplify]: Extracting #3: cost 17 inf + 0 34.504 * * [simplify]: Extracting #4: cost 22 inf + 2 34.504 * * [simplify]: Extracting #5: cost 15 inf + 577 34.505 * * [simplify]: Extracting #6: cost 14 inf + 740 34.505 * * [simplify]: Extracting #7: cost 9 inf + 1510 34.506 * * [simplify]: Extracting #8: cost 2 inf + 3244 34.508 * * [simplify]: Extracting #9: cost 0 inf + 3969 34.509 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 34.509 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 34.509 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 34.510 * [simplify]: Simplifying (/ 1 (sqrt 1)) 34.510 * * [simplify]: iters left: 3 (3 enodes) 34.516 * * [simplify]: iters left: 2 (11 enodes) 34.519 * * [simplify]: iters left: 1 (13 enodes) 34.522 * * [simplify]: Extracting #0: cost 1 inf + 0 34.522 * * [simplify]: Extracting #1: cost 0 inf + 1 34.522 * [simplify]: Simplified to 1 34.522 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.522 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.522 * * [simplify]: iters left: 6 (12 enodes) 34.528 * * [simplify]: iters left: 5 (42 enodes) 34.540 * * [simplify]: iters left: 4 (49 enodes) 34.553 * * [simplify]: Extracting #0: cost 1 inf + 0 34.553 * * [simplify]: Extracting #1: cost 4 inf + 0 34.553 * * [simplify]: Extracting #2: cost 8 inf + 0 34.553 * * [simplify]: Extracting #3: cost 17 inf + 0 34.553 * * [simplify]: Extracting #4: cost 19 inf + 3 34.554 * * [simplify]: Extracting #5: cost 14 inf + 374 34.554 * * [simplify]: Extracting #6: cost 7 inf + 1388 34.554 * * [simplify]: Extracting #7: cost 1 inf + 2560 34.555 * * [simplify]: Extracting #8: cost 0 inf + 2923 34.555 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 34.555 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 34.555 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 34.556 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.556 * * [simplify]: iters left: 6 (11 enodes) 34.559 * * [simplify]: iters left: 5 (38 enodes) 34.564 * * [simplify]: iters left: 4 (43 enodes) 34.570 * * [simplify]: Extracting #0: cost 1 inf + 0 34.570 * * [simplify]: Extracting #1: cost 4 inf + 0 34.571 * * [simplify]: Extracting #2: cost 5 inf + 1 34.571 * * [simplify]: Extracting #3: cost 7 inf + 1 34.571 * * [simplify]: Extracting #4: cost 11 inf + 1 34.571 * * [simplify]: Extracting #5: cost 12 inf + 43 34.571 * * [simplify]: Extracting #6: cost 14 inf + 84 34.571 * * [simplify]: Extracting #7: cost 16 inf + 125 34.571 * * [simplify]: Extracting #8: cost 14 inf + 167 34.571 * * [simplify]: Extracting #9: cost 11 inf + 371 34.571 * * [simplify]: Extracting #10: cost 7 inf + 1019 34.572 * * [simplify]: Extracting #11: cost 3 inf + 1987 34.572 * * [simplify]: Extracting #12: cost 0 inf + 2915 34.572 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.572 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 34.573 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.573 * * [simplify]: iters left: 6 (13 enodes) 34.576 * * [simplify]: iters left: 5 (45 enodes) 34.582 * * [simplify]: iters left: 4 (52 enodes) 34.590 * * [simplify]: Extracting #0: cost 1 inf + 0 34.590 * * [simplify]: Extracting #1: cost 4 inf + 0 34.590 * * [simplify]: Extracting #2: cost 8 inf + 0 34.590 * * [simplify]: Extracting #3: cost 15 inf + 0 34.590 * * [simplify]: Extracting #4: cost 19 inf + 2 34.590 * * [simplify]: Extracting #5: cost 17 inf + 209 34.590 * * [simplify]: Extracting #6: cost 14 inf + 537 34.590 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.591 * * [simplify]: Extracting #8: cost 1 inf + 3164 34.591 * * [simplify]: Extracting #9: cost 0 inf + 3567 34.592 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.592 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 34.593 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 34.593 * [simplify]: Simplifying (/ 1 1) 34.593 * * [simplify]: iters left: 2 (2 enodes) 34.594 * * [simplify]: iters left: 1 (6 enodes) 34.597 * * [simplify]: Extracting #0: cost 1 inf + 0 34.597 * * [simplify]: Extracting #1: cost 0 inf + 1 34.597 * [simplify]: Simplified to 1 34.597 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.597 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.597 * * [simplify]: iters left: 6 (12 enodes) 34.603 * * [simplify]: iters left: 5 (42 enodes) 34.615 * * [simplify]: iters left: 4 (49 enodes) 34.622 * * [simplify]: Extracting #0: cost 1 inf + 0 34.622 * * [simplify]: Extracting #1: cost 4 inf + 0 34.622 * * [simplify]: Extracting #2: cost 8 inf + 0 34.622 * * [simplify]: Extracting #3: cost 17 inf + 0 34.622 * * [simplify]: Extracting #4: cost 19 inf + 3 34.622 * * [simplify]: Extracting #5: cost 14 inf + 374 34.622 * * [simplify]: Extracting #6: cost 7 inf + 1388 34.623 * * [simplify]: Extracting #7: cost 1 inf + 2560 34.623 * * [simplify]: Extracting #8: cost 0 inf + 2923 34.624 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 34.624 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 34.624 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 34.624 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 34.624 * [simplify]: Simplifying (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.624 * * [simplify]: iters left: 6 (10 enodes) 34.627 * * [simplify]: iters left: 5 (35 enodes) 34.632 * * [simplify]: iters left: 4 (40 enodes) 34.637 * * [simplify]: Extracting #0: cost 1 inf + 0 34.637 * * [simplify]: Extracting #1: cost 4 inf + 0 34.637 * * [simplify]: Extracting #2: cost 5 inf + 1 34.637 * * [simplify]: Extracting #3: cost 9 inf + 1 34.638 * * [simplify]: Extracting #4: cost 10 inf + 43 34.638 * * [simplify]: Extracting #5: cost 12 inf + 84 34.638 * * [simplify]: Extracting #6: cost 14 inf + 125 34.638 * * [simplify]: Extracting #7: cost 12 inf + 167 34.638 * * [simplify]: Extracting #8: cost 9 inf + 371 34.638 * * [simplify]: Extracting #9: cost 4 inf + 1221 34.638 * * [simplify]: Extracting #10: cost 0 inf + 2271 34.639 * [simplify]: Simplified to (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 34.639 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (* 2.0 (* im im))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.639 * * * * [progress]: [ 94 / 122 ] simplifiying candidate # 34.639 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) 34.639 * * [simplify]: iters left: 6 (12 enodes) 34.644 * * [simplify]: iters left: 5 (42 enodes) 34.650 * * [simplify]: iters left: 4 (49 enodes) 34.657 * * [simplify]: Extracting #0: cost 1 inf + 0 34.657 * * [simplify]: Extracting #1: cost 4 inf + 0 34.657 * * [simplify]: Extracting #2: cost 8 inf + 0 34.657 * * [simplify]: Extracting #3: cost 17 inf + 0 34.657 * * [simplify]: Extracting #4: cost 16 inf + 168 34.657 * * [simplify]: Extracting #5: cost 13 inf + 496 34.657 * * [simplify]: Extracting #6: cost 11 inf + 700 34.658 * * [simplify]: Extracting #7: cost 7 inf + 1187 34.658 * * [simplify]: Extracting #8: cost 1 inf + 2560 34.659 * * [simplify]: Extracting #9: cost 0 inf + 2923 34.659 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) 34.659 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))))) 34.659 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 34.659 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.660 * * [simplify]: iters left: 6 (14 enodes) 34.663 * * [simplify]: iters left: 5 (50 enodes) 34.672 * * [simplify]: iters left: 4 (59 enodes) 34.688 * * [simplify]: Extracting #0: cost 1 inf + 0 34.688 * * [simplify]: Extracting #1: cost 6 inf + 0 34.688 * * [simplify]: Extracting #2: cost 12 inf + 0 34.688 * * [simplify]: Extracting #3: cost 19 inf + 0 34.688 * * [simplify]: Extracting #4: cost 23 inf + 2 34.689 * * [simplify]: Extracting #5: cost 18 inf + 455 34.689 * * [simplify]: Extracting #6: cost 17 inf + 659 34.690 * * [simplify]: Extracting #7: cost 13 inf + 1308 34.691 * * [simplify]: Extracting #8: cost 3 inf + 4129 34.693 * * [simplify]: Extracting #9: cost 0 inf + 5417 34.695 * [simplify]: Simplified to (/ (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.695 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.695 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 34.695 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.696 * * [simplify]: iters left: 6 (14 enodes) 34.699 * * [simplify]: iters left: 5 (49 enodes) 34.707 * * [simplify]: iters left: 4 (56 enodes) 34.715 * * [simplify]: Extracting #0: cost 1 inf + 0 34.715 * * [simplify]: Extracting #1: cost 4 inf + 0 34.715 * * [simplify]: Extracting #2: cost 9 inf + 0 34.715 * * [simplify]: Extracting #3: cost 17 inf + 0 34.715 * * [simplify]: Extracting #4: cost 21 inf + 2 34.715 * * [simplify]: Extracting #5: cost 19 inf + 209 34.715 * * [simplify]: Extracting #6: cost 16 inf + 618 34.715 * * [simplify]: Extracting #7: cost 11 inf + 1348 34.716 * * [simplify]: Extracting #8: cost 2 inf + 3686 34.717 * * [simplify]: Extracting #9: cost 0 inf + 4451 34.717 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.718 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.718 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 34.718 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.718 * * [simplify]: iters left: 6 (13 enodes) 34.721 * * [simplify]: iters left: 5 (45 enodes) 34.728 * * [simplify]: iters left: 4 (52 enodes) 34.737 * * [simplify]: Extracting #0: cost 1 inf + 0 34.737 * * [simplify]: Extracting #1: cost 4 inf + 0 34.737 * * [simplify]: Extracting #2: cost 8 inf + 0 34.737 * * [simplify]: Extracting #3: cost 15 inf + 0 34.737 * * [simplify]: Extracting #4: cost 19 inf + 2 34.737 * * [simplify]: Extracting #5: cost 17 inf + 209 34.737 * * [simplify]: Extracting #6: cost 14 inf + 537 34.738 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.738 * * [simplify]: Extracting #8: cost 1 inf + 3164 34.739 * * [simplify]: Extracting #9: cost 0 inf + 3567 34.739 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.740 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.740 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 34.740 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) 34.740 * * [simplify]: iters left: 6 (8 enodes) 34.746 * * [simplify]: iters left: 5 (29 enodes) 34.754 * * [simplify]: iters left: 4 (35 enodes) 34.759 * * [simplify]: iters left: 3 (37 enodes) 34.765 * * [simplify]: Extracting #0: cost 1 inf + 0 34.765 * * [simplify]: Extracting #1: cost 4 inf + 0 34.765 * * [simplify]: Extracting #2: cost 8 inf + 1 34.765 * * [simplify]: Extracting #3: cost 7 inf + 44 34.765 * * [simplify]: Extracting #4: cost 0 inf + 577 34.765 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 34.765 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.765 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 34.765 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.765 * * [simplify]: iters left: 6 (14 enodes) 34.769 * * [simplify]: iters left: 5 (47 enodes) 34.776 * * [simplify]: iters left: 4 (51 enodes) 34.785 * * [simplify]: Extracting #0: cost 1 inf + 0 34.785 * * [simplify]: Extracting #1: cost 4 inf + 0 34.785 * * [simplify]: Extracting #2: cost 8 inf + 0 34.785 * * [simplify]: Extracting #3: cost 16 inf + 0 34.785 * * [simplify]: Extracting #4: cost 20 inf + 2 34.786 * * [simplify]: Extracting #5: cost 16 inf + 291 34.786 * * [simplify]: Extracting #6: cost 14 inf + 537 34.786 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.787 * * [simplify]: Extracting #8: cost 2 inf + 3042 34.789 * * [simplify]: Extracting #9: cost 0 inf + 3807 34.790 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) 34.790 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 34.790 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 34.790 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 34.791 * * [simplify]: iters left: 6 (14 enodes) 34.796 * * [simplify]: iters left: 5 (47 enodes) 34.803 * * [simplify]: iters left: 4 (51 enodes) 34.811 * * [simplify]: Extracting #0: cost 1 inf + 0 34.811 * * [simplify]: Extracting #1: cost 4 inf + 0 34.811 * * [simplify]: Extracting #2: cost 8 inf + 0 34.811 * * [simplify]: Extracting #3: cost 16 inf + 0 34.811 * * [simplify]: Extracting #4: cost 20 inf + 2 34.811 * * [simplify]: Extracting #5: cost 16 inf + 291 34.811 * * [simplify]: Extracting #6: cost 14 inf + 537 34.811 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.812 * * [simplify]: Extracting #8: cost 2 inf + 3042 34.813 * * [simplify]: Extracting #9: cost 0 inf + 3807 34.813 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) 34.813 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 34.814 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 34.814 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) 34.814 * * [simplify]: iters left: 6 (8 enodes) 34.817 * * [simplify]: iters left: 5 (29 enodes) 34.822 * * [simplify]: iters left: 4 (35 enodes) 34.827 * * [simplify]: iters left: 3 (37 enodes) 34.835 * * [simplify]: Extracting #0: cost 1 inf + 0 34.835 * * [simplify]: Extracting #1: cost 4 inf + 0 34.835 * * [simplify]: Extracting #2: cost 8 inf + 1 34.835 * * [simplify]: Extracting #3: cost 7 inf + 44 34.835 * * [simplify]: Extracting #4: cost 0 inf + 577 34.835 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 34.835 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.835 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 34.836 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 34.836 * * [simplify]: iters left: 6 (13 enodes) 34.839 * * [simplify]: iters left: 5 (45 enodes) 34.846 * * [simplify]: iters left: 4 (52 enodes) 34.853 * * [simplify]: Extracting #0: cost 1 inf + 0 34.853 * * [simplify]: Extracting #1: cost 4 inf + 0 34.853 * * [simplify]: Extracting #2: cost 8 inf + 0 34.853 * * [simplify]: Extracting #3: cost 15 inf + 0 34.853 * * [simplify]: Extracting #4: cost 19 inf + 2 34.853 * * [simplify]: Extracting #5: cost 17 inf + 209 34.853 * * [simplify]: Extracting #6: cost 14 inf + 537 34.854 * * [simplify]: Extracting #7: cost 9 inf + 1308 34.854 * * [simplify]: Extracting #8: cost 1 inf + 3164 34.855 * * [simplify]: Extracting #9: cost 0 inf + 3567 34.855 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 34.855 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 34.855 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 34.856 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) 1) 34.856 * * [simplify]: iters left: 6 (7 enodes) 34.860 * * [simplify]: iters left: 5 (24 enodes) 34.868 * * [simplify]: iters left: 4 (30 enodes) 34.876 * * [simplify]: iters left: 3 (32 enodes) 34.882 * * [simplify]: Extracting #0: cost 1 inf + 0 34.882 * * [simplify]: Extracting #1: cost 4 inf + 0 34.883 * * [simplify]: Extracting #2: cost 8 inf + 1 34.883 * * [simplify]: Extracting #3: cost 7 inf + 44 34.883 * * [simplify]: Extracting #4: cost 1 inf + 455 34.883 * * [simplify]: Extracting #5: cost 0 inf + 577 34.883 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 34.883 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 34.883 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 34.883 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) 34.883 * * [simplify]: iters left: 6 (13 enodes) 34.886 * * [simplify]: iters left: 5 (45 enodes) 34.893 * * [simplify]: iters left: 4 (52 enodes) 34.900 * * [simplify]: Extracting #0: cost 1 inf + 0 34.900 * * [simplify]: Extracting #1: cost 4 inf + 0 34.900 * * [simplify]: Extracting #2: cost 8 inf + 0 34.900 * * [simplify]: Extracting #3: cost 14 inf + 0 34.900 * * [simplify]: Extracting #4: cost 21 inf + 1 34.900 * * [simplify]: Extracting #5: cost 18 inf + 291 34.901 * * [simplify]: Extracting #6: cost 11 inf + 1104 34.901 * * [simplify]: Extracting #7: cost 8 inf + 1429 34.901 * * [simplify]: Extracting #8: cost 1 inf + 3044 34.902 * * [simplify]: Extracting #9: cost 0 inf + 3487 34.903 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) 34.903 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))))) 34.903 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 34.903 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im))) 34.903 * * [simplify]: iters left: 6 (10 enodes) 34.905 * * [simplify]: iters left: 5 (34 enodes) 34.910 * * [simplify]: iters left: 4 (37 enodes) 34.914 * * [simplify]: Extracting #0: cost 1 inf + 0 34.915 * * [simplify]: Extracting #1: cost 4 inf + 0 34.915 * * [simplify]: Extracting #2: cost 9 inf + 0 34.915 * * [simplify]: Extracting #3: cost 11 inf + 83 34.915 * * [simplify]: Extracting #4: cost 12 inf + 125 34.915 * * [simplify]: Extracting #5: cost 12 inf + 207 34.915 * * [simplify]: Extracting #6: cost 11 inf + 289 34.915 * * [simplify]: Extracting #7: cost 8 inf + 614 34.915 * * [simplify]: Extracting #8: cost 2 inf + 1866 34.916 * * [simplify]: Extracting #9: cost 0 inf + 2430 34.916 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) 34.916 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))))) 34.916 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 34.917 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 34.917 * * [simplify]: iters left: 6 (13 enodes) 34.920 * * [simplify]: iters left: 5 (45 enodes) 34.932 * * [simplify]: iters left: 4 (52 enodes) 34.947 * * [simplify]: Extracting #0: cost 1 inf + 0 34.947 * * [simplify]: Extracting #1: cost 4 inf + 0 34.947 * * [simplify]: Extracting #2: cost 8 inf + 0 34.947 * * [simplify]: Extracting #3: cost 14 inf + 0 34.947 * * [simplify]: Extracting #4: cost 21 inf + 1 34.948 * * [simplify]: Extracting #5: cost 18 inf + 291 34.948 * * [simplify]: Extracting #6: cost 11 inf + 1024 34.949 * * [simplify]: Extracting #7: cost 8 inf + 1349 34.950 * * [simplify]: Extracting #8: cost 1 inf + 2924 34.951 * * [simplify]: Extracting #9: cost 0 inf + 3327 34.952 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 34.952 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 34.952 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 34.953 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) 34.953 * * [simplify]: iters left: 6 (12 enodes) 34.959 * * [simplify]: iters left: 5 (42 enodes) 34.970 * * [simplify]: iters left: 4 (49 enodes) 34.977 * * [simplify]: Extracting #0: cost 1 inf + 0 34.977 * * [simplify]: Extracting #1: cost 4 inf + 0 34.977 * * [simplify]: Extracting #2: cost 8 inf + 0 34.977 * * [simplify]: Extracting #3: cost 17 inf + 0 34.977 * * [simplify]: Extracting #4: cost 16 inf + 168 34.977 * * [simplify]: Extracting #5: cost 13 inf + 496 34.978 * * [simplify]: Extracting #6: cost 11 inf + 700 34.978 * * [simplify]: Extracting #7: cost 7 inf + 1187 34.978 * * [simplify]: Extracting #8: cost 1 inf + 2560 34.979 * * [simplify]: Extracting #9: cost 0 inf + 2923 34.979 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) 34.979 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))))) 34.979 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 34.980 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 34.980 * * [simplify]: iters left: 6 (15 enodes) 34.984 * * [simplify]: iters left: 5 (63 enodes) 34.997 * * [simplify]: iters left: 4 (105 enodes) 35.024 * * [simplify]: iters left: 3 (185 enodes) 35.069 * * [simplify]: iters left: 2 (345 enodes) 35.199 * * [simplify]: Extracting #0: cost 1 inf + 0 35.199 * * [simplify]: Extracting #1: cost 4 inf + 0 35.199 * * [simplify]: Extracting #2: cost 8 inf + 0 35.199 * * [simplify]: Extracting #3: cost 35 inf + 0 35.200 * * [simplify]: Extracting #4: cost 128 inf + 2 35.201 * * [simplify]: Extracting #5: cost 177 inf + 658 35.204 * * [simplify]: Extracting #6: cost 152 inf + 6235 35.210 * * [simplify]: Extracting #7: cost 88 inf + 37848 35.219 * * [simplify]: Extracting #8: cost 10 inf + 87441 35.229 * * [simplify]: Extracting #9: cost 0 inf + 94350 35.239 * [simplify]: Simplified to (/ (sqrt (* (* 2.0 im) im)) (sqrt (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* re (* re re))))) 35.239 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (* (* 2.0 im) im)) (sqrt (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* re (* re re))))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 35.239 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 35.239 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 35.239 * * [simplify]: iters left: 6 (13 enodes) 35.248 * * [simplify]: iters left: 5 (46 enodes) 35.262 * * [simplify]: iters left: 4 (72 enodes) 35.283 * * [simplify]: iters left: 3 (102 enodes) 35.318 * * [simplify]: iters left: 2 (171 enodes) 35.385 * * [simplify]: iters left: 1 (446 enodes) 35.967 * * [simplify]: Extracting #0: cost 1 inf + 0 35.967 * * [simplify]: Extracting #1: cost 4 inf + 0 35.967 * * [simplify]: Extracting #2: cost 9 inf + 0 35.967 * * [simplify]: Extracting #3: cost 132 inf + 83 35.969 * * [simplify]: Extracting #4: cost 496 inf + 535 35.972 * * [simplify]: Extracting #5: cost 445 inf + 8137 35.983 * * [simplify]: Extracting #6: cost 246 inf + 54384 36.015 * * [simplify]: Extracting #7: cost 16 inf + 130463 36.055 * * [simplify]: Extracting #8: cost 0 inf + 134236 36.108 * [simplify]: Simplified to (/ (sqrt (* (* 2.0 im) im)) (fabs im)) 36.108 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (* (* 2.0 im) im)) (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 36.109 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 36.109 * [simplify]: Simplifying (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 36.109 * * [simplify]: iters left: 6 (13 enodes) 36.115 * * [simplify]: iters left: 5 (42 enodes) 36.127 * * [simplify]: iters left: 4 (49 enodes) 36.140 * * [simplify]: Extracting #0: cost 1 inf + 0 36.140 * * [simplify]: Extracting #1: cost 2 inf + 0 36.140 * * [simplify]: Extracting #2: cost 4 inf + 0 36.140 * * [simplify]: Extracting #3: cost 8 inf + 0 36.140 * * [simplify]: Extracting #4: cost 17 inf + 0 36.140 * * [simplify]: Extracting #5: cost 18 inf + 44 36.140 * * [simplify]: Extracting #6: cost 16 inf + 250 36.141 * * [simplify]: Extracting #7: cost 9 inf + 1064 36.142 * * [simplify]: Extracting #8: cost 0 inf + 2923 36.143 * [simplify]: Simplified to (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 36.143 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (posit16->real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 36.143 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 36.146 * [simplify]: Simplifying (* (sqrt 2.0) im) 36.146 * * [simplify]: iters left: 3 (4 enodes) 36.148 * * [simplify]: iters left: 2 (13 enodes) 36.152 * * [simplify]: Extracting #0: cost 1 inf + 0 36.152 * * [simplify]: Extracting #1: cost 4 inf + 0 36.152 * * [simplify]: Extracting #2: cost 5 inf + 1 36.152 * * [simplify]: Extracting #3: cost 4 inf + 2 36.152 * * [simplify]: Extracting #4: cost 0 inf + 248 36.153 * [simplify]: Simplified to (* im (sqrt 2.0)) 36.153 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 36.153 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 36.153 * [simplify]: Simplifying (* (sqrt 2.0) im) 36.153 * * [simplify]: iters left: 3 (4 enodes) 36.154 * * [simplify]: iters left: 2 (13 enodes) 36.156 * * [simplify]: Extracting #0: cost 1 inf + 0 36.157 * * [simplify]: Extracting #1: cost 4 inf + 0 36.157 * * [simplify]: Extracting #2: cost 5 inf + 1 36.157 * * [simplify]: Extracting #3: cost 4 inf + 2 36.157 * * [simplify]: Extracting #4: cost 0 inf + 248 36.157 * [simplify]: Simplified to (* im (sqrt 2.0)) 36.157 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 36.157 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 36.157 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 36.157 * * [simplify]: iters left: 5 (6 enodes) 36.159 * * [simplify]: iters left: 4 (23 enodes) 36.163 * * [simplify]: iters left: 3 (36 enodes) 36.169 * * [simplify]: iters left: 2 (41 enodes) 36.174 * * [simplify]: Extracting #0: cost 1 inf + 0 36.175 * * [simplify]: Extracting #1: cost 8 inf + 0 36.175 * * [simplify]: Extracting #2: cost 10 inf + 43 36.175 * * [simplify]: Extracting #3: cost 8 inf + 85 36.175 * * [simplify]: Extracting #4: cost 2 inf + 534 36.175 * * [simplify]: Extracting #5: cost 0 inf + 737 36.175 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 36.175 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 36.175 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 36.176 * [simplify]: Simplifying im 36.176 * * [simplify]: iters left: 0 (1 enodes) 36.176 * * [simplify]: Extracting #0: cost 1 inf + 0 36.176 * * [simplify]: Extracting #1: cost 0 inf + 1 36.176 * [simplify]: Simplified to im 36.176 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 36.176 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 36.176 * [simplify]: Simplifying re 36.176 * * [simplify]: iters left: 0 (1 enodes) 36.176 * * [simplify]: Extracting #0: cost 1 inf + 0 36.176 * * [simplify]: Extracting #1: cost 0 inf + 1 36.176 * [simplify]: Simplified to re 36.176 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- re re))))) 36.176 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 36.177 * [simplify]: Simplifying (* -1 re) 36.177 * * [simplify]: iters left: 2 (3 enodes) 36.178 * * [simplify]: iters left: 1 (11 enodes) 36.179 * * [simplify]: Extracting #0: cost 1 inf + 0 36.179 * * [simplify]: Extracting #1: cost 4 inf + 0 36.179 * * [simplify]: Extracting #2: cost 0 inf + 84 36.179 * [simplify]: Simplified to (- re) 36.179 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (- re) re))))) 36.179 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 36.180 * [simplify]: Simplifying (- im re) 36.180 * * [simplify]: iters left: 2 (3 enodes) 36.181 * * [simplify]: iters left: 1 (11 enodes) 36.184 * * [simplify]: Extracting #0: cost 1 inf + 0 36.184 * * [simplify]: Extracting #1: cost 5 inf + 0 36.184 * * [simplify]: Extracting #2: cost 3 inf + 43 36.184 * * [simplify]: Extracting #3: cost 0 inf + 168 36.184 * [simplify]: Simplified to (- im re) 36.184 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 36.184 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 36.184 * [simplify]: Simplifying 0 36.184 * * [simplify]: iters left: 0 (1 enodes) 36.185 * * [simplify]: Extracting #0: cost 1 inf + 0 36.185 * * [simplify]: Extracting #1: cost 0 inf + 1 36.186 * [simplify]: Simplified to 0 36.186 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 36.186 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 36.186 * [simplify]: Simplifying (* -2 re) 36.186 * * [simplify]: iters left: 2 (3 enodes) 36.188 * * [simplify]: iters left: 1 (10 enodes) 36.191 * * [simplify]: Extracting #0: cost 1 inf + 0 36.191 * * [simplify]: Extracting #1: cost 4 inf + 0 36.191 * * [simplify]: Extracting #2: cost 2 inf + 2 36.191 * * [simplify]: Extracting #3: cost 0 inf + 86 36.191 * [simplify]: Simplified to (* -2 re) 36.191 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))))) 36.191 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 36.192 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 36.192 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 36.192 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 36.192 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 36.192 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 36.192 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 36.192 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 36.192 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 36.193 * * * [progress]: adding candidates to table 37.656 * [progress]: [Phase 3 of 3] Extracting. 37.656 * * [regime]: Finding splitpoints for: (# # # # # # # #) 37.658 * * * [regime-changes]: Trying 3 branch expressions: (im (* im im) re) 37.658 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 37.769 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 37.858 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 37.922 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 38.021 * * * [regime]: Found split indices: #