15.616 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.032 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.032 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.032 * [taylor]: Taking taylor expansion of re in im 0.032 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.032 * [taylor]: Taking taylor expansion of im in im 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of 0 in im 0.036 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.036 * [taylor]: Taking taylor expansion of 1/2 in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.038 * [taylor]: Taking taylor expansion of 0 in im 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.039 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.046 * [taylor]: Taking taylor expansion of 1 in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of 1/2 in im 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.048 * [taylor]: Taking taylor expansion of im in im 0.051 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.053 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.060 * [taylor]: Taking taylor expansion of 1 in im 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.062 * [taylor]: Taking taylor expansion of 1/2 in im 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0.072 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.075 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.081 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.095 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.123 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.210 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.211 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0.211 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.252 * * * [progress]: localizing error 0.268 * * * [progress]: generating rewritten candidates 0.268 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.274 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.280 * * * [progress]: generating series expansions 0.280 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.280 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.281 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.281 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.283 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.283 * [taylor]: Taking taylor expansion of 1/2 in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of 1 in im 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.295 * [taylor]: Taking taylor expansion of 1/2 in im 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.295 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of 0 in im 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.305 * [taylor]: Taking taylor expansion of re in re 0.307 * [taylor]: Taking taylor expansion of 1 in im 0.307 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.309 * [taylor]: Taking taylor expansion of 1/2 in im 0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.313 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.313 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.313 * [taylor]: Taking taylor expansion of re in im 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.314 * [taylor]: Taking taylor expansion of im in re 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [taylor]: Taking taylor expansion of 0 in im 0.316 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.316 * [taylor]: Taking taylor expansion of 1/2 in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of 0 in im 0.319 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.319 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.320 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.322 * [taylor]: Taking taylor expansion of im in re 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.327 * [taylor]: Taking taylor expansion of 1 in im 0.327 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.328 * [taylor]: Taking taylor expansion of 1/2 in im 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.332 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.333 * [taylor]: Taking taylor expansion of im in im 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.333 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.333 * [taylor]: Taking taylor expansion of re in im 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.339 * [taylor]: Taking taylor expansion of re in re 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.346 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.346 * [taylor]: Taking taylor expansion of 1/2 in im 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.350 * * * [progress]: simplifying candidates 0.351 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) im re (* -1 re) im re (* -1 re) 0.355 * * [simplify]: iteration 0 : 136 enodes (cost 253 ) 0.357 * * [simplify]: iteration 1 : 280 enodes (cost 247 ) 0.361 * * [simplify]: iteration 2 : 583 enodes (cost 238 ) 0.371 * * [simplify]: iteration 3 : 1387 enodes (cost 232 ) 0.401 * * [simplify]: iteration 4 : 4698 enodes (cost 232 ) 0.495 * * [simplify]: iteration 5 : 5001 enodes (cost 228 ) 0.496 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (+ (* re re) (* im im)) 3/2) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (+ (* re re) (* im im)) 3/2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) 0.497 * * * [progress]: adding candidates to table 0.564 * * [progress]: iteration 3 / 4 0.564 * * * [progress]: picking best candidate 0.570 * * * * [pick]: Picked # 0.570 * * * [progress]: localizing error 0.572 * * * [progress]: generating rewritten candidates 0.572 * * * [progress]: generating series expansions 0.572 * * * [progress]: simplifying candidates 0.572 * [simplify]: Simplifying using # : 0.574 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.574 * [simplify]: Simplified to: 0.574 * * * [progress]: adding candidates to table 0.574 * * [progress]: iteration 4 / 4 0.574 * * * [progress]: picking best candidate 0.579 * * * * [pick]: Picked # 0.579 * * * [progress]: localizing error 0.583 * * * [progress]: generating rewritten candidates 0.583 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.587 * * * [progress]: generating series expansions 0.587 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.587 * [approximate]: Taking taylor expansion of (* -1 re) in (re) around 0 0.587 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.587 * [taylor]: Taking taylor expansion of -1 in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.587 * [taylor]: Taking taylor expansion of -1 in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.592 * [approximate]: Taking taylor expansion of (/ -1 re) in (re) around 0 0.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.592 * [taylor]: Taking taylor expansion of -1 in re 0.592 * [taylor]: Taking taylor expansion of re in re 0.593 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.593 * [taylor]: Taking taylor expansion of -1 in re 0.593 * [taylor]: Taking taylor expansion of re in re 0.596 * [approximate]: Taking taylor expansion of (/ 1 re) in (re) around 0 0.596 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.596 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.600 * * * [progress]: simplifying candidates 0.600 * [simplify]: Simplifying using # : (exp 1) (exp 1) (exp (* (cbrt (log (* -1 re))) (cbrt (log (* -1 re))))) (exp (sqrt (log (* -1 re)))) (exp 1) (exp (log -1)) (exp (log re)) (log (exp (log (* -1 re)))) (exp (exp (log (* -1 re)))) (* (cbrt (exp (log (* -1 re)))) (cbrt (exp (log (* -1 re))))) (cbrt (exp (log (* -1 re)))) (* (* (exp (log (* -1 re))) (exp (log (* -1 re)))) (exp (log (* -1 re)))) (sqrt (exp (log (* -1 re)))) (sqrt (exp (log (* -1 re)))) (* -1 re) (* -1 re) (* -1 re) 0.602 * * [simplify]: iteration 0 : 34 enodes (cost 50 ) 0.604 * * [simplify]: iteration 1 : 87 enodes (cost 42 ) 0.606 * * [simplify]: iteration 2 : 275 enodes (cost 42 ) 0.611 * * [simplify]: iteration 3 : 866 enodes (cost 42 ) 0.623 * * [simplify]: iteration 4 : 5001 enodes (cost 42 ) 0.623 * [simplify]: Simplified to: E E (exp (* (cbrt (log (* -1 re))) (cbrt (log (* -1 re))))) (exp (sqrt (log (* -1 re)))) E -1 re (log (* -1 re)) (pow (exp -1) re) (* (cbrt (exp (log (* -1 re)))) (cbrt (exp (log (* -1 re))))) (cbrt (exp (log (* -1 re)))) (pow (* -1 re) 3) (sqrt (exp (log (* -1 re)))) (sqrt (exp (log (* -1 re)))) (* -1 re) (* -1 re) (* -1 re) 0.623 * * * [progress]: adding candidates to table 0.645 * [progress]: [Phase 3 of 3] Extracting. 0.645 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 0.645 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.645 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 0.673 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 0.702 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # # # # #) 0.732 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 0.749 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # # # # #) 0.778 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 0.793 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # # # # #) 0.828 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 0.841 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 0.886 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 0.926 * * * [regime]: Found split indices: #