25.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.022 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.022 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.022 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.022 * * [simplify]: Extracting # 3 : cost 2 inf + 2 0.022 * * [simplify]: Extracting # 4 : cost 0 inf + 126 0.022 * * [simplify]: iteration 0 : 4 enodes (cost 82 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 inf + 126 0.023 * * [simplify]: Extracting # 1 : cost 4 inf + 126 0.023 * * [simplify]: Extracting # 2 : cost 0 inf + 454 0.023 * * [simplify]: iteration 1 : 11 enodes (cost 82 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 inf + 454 0.025 * * [simplify]: Extracting # 1 : cost 4 inf + 290 0.025 * * [simplify]: Extracting # 2 : cost 0 inf + 456 0.025 * * [simplify]: iteration 2 : 27 enodes (cost 82 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 inf + 456 0.031 * * [simplify]: Extracting # 1 : cost 8 inf + 414 0.032 * * [simplify]: Extracting # 2 : cost 0 inf + 1710 0.032 * * [simplify]: iteration 3 : 65 enodes (cost 82 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 inf + 1710 0.055 * * [simplify]: Extracting # 1 : cost 15 inf + 825 0.056 * * [simplify]: Extracting # 2 : cost 0 inf + 2265 0.058 * * [simplify]: iteration 4 : 147 enodes (cost 82 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 inf + 2265 0.101 * * [simplify]: Extracting # 1 : cost 8 inf + 1138 0.102 * * [simplify]: Extracting # 2 : cost 0 inf + 2031 0.103 * * [simplify]: iteration 5 : 243 enodes (cost 82 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 inf + 2031 0.140 * * [simplify]: Extracting # 1 : cost 0 inf + 1221 0.142 * * [simplify]: iteration 6 : 273 enodes (cost 82 ) 0.167 * * [simplify]: Extracting # 0 : cost 0 inf + 1221 0.167 * * [simplify]: Extracting # 1 : cost 0 inf + 1149 0.168 * * [simplify]: Extracting # 2 : cost 0 inf + 1125 0.169 * * [simplify]: iteration 7 : 290 enodes (cost 82 ) 0.202 * * [simplify]: Extracting # 0 : cost 0 inf + 1125 0.203 * * [simplify]: iteration 8 : 292 enodes (cost 82 ) 0.234 * * [simplify]: Extracting # 0 : cost 0 inf + 1125 0.235 * * [simplify]: iteration done: 292 enodes (cost 82 ) 0.235 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.237 * * [progress]: iteration 1 / 4 0.237 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.254 * * * [progress]: generating rewritten candidates 0.254 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.296 * * * [progress]: generating series expansions 0.296 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.296 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.296 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.296 * [taylor]: Taking taylor expansion of (+ x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [backup-simplify]: Simplify x into x 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (+ x 0) into x 0.297 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (+ 0 y) into y 0.297 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (+ 0 y) into y 0.297 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.298 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.298 * [taylor]: Taking taylor expansion of 2 in y 0.298 * [backup-simplify]: Simplify 2 into 2 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 2 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.299 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.299 * [backup-simplify]: Simplify 2 into 2 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.300 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.300 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.304 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of 2 in y 0.304 * [backup-simplify]: Simplify 2 into 2 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 2 1) into 2 0.306 * [backup-simplify]: Simplify 2 into 2 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.307 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.307 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.311 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of 2 in y 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 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 1) into 1 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 2 1) into 2 0.313 * [backup-simplify]: Simplify 2 into 2 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.316 * * [simplify]: Extracting # 0 : cost 39 inf + 0 0.316 * * [simplify]: Extracting # 1 : cost 55 inf + 0 0.316 * * [simplify]: Extracting # 2 : cost 54 inf + 170 0.317 * * [simplify]: Extracting # 3 : cost 27 inf + 3817 0.318 * * [simplify]: Extracting # 4 : cost 13 inf + 6497 0.319 * * [simplify]: Extracting # 5 : cost 3 inf + 10012 0.321 * * [simplify]: Extracting # 6 : cost 0 inf + 11119 0.322 * * [simplify]: iteration 0 : 64 enodes (cost 10566 ) 0.349 * * [simplify]: Extracting # 0 : cost 0 inf + 11119 0.351 * * [simplify]: Extracting # 1 : cost 73 inf + 9219 0.354 * * [simplify]: Extracting # 2 : cost 3 inf + 21893 0.358 * * [simplify]: Extracting # 3 : cost 2 inf + 17727 0.363 * * [simplify]: Extracting # 4 : cost 0 inf + 18111 0.368 * * [simplify]: iteration 1 : 232 enodes (cost 7123 ) 0.591 * * [simplify]: Extracting # 0 : cost 0 inf + 18111 0.603 * * [simplify]: Extracting # 1 : cost 666 inf + 13472 0.624 * * [simplify]: Extracting # 2 : cost 7 inf + 99465 0.641 * * [simplify]: Extracting # 3 : cost 4 inf + 99632 0.658 * * [simplify]: Extracting # 4 : cost 0 inf + 100782 0.683 * * [simplify]: iteration 2 : 1738 enodes (cost 6768 ) 1.703 * * [simplify]: Extracting # 0 : cost 0 inf + 100782 1.767 * * [simplify]: Extracting # 1 : cost 1627 inf + 88613 1.828 * * [simplify]: Extracting # 2 : cost 75 inf + 296497 1.905 * * [simplify]: Extracting # 3 : cost 21 inf + 303817 1.970 * * [simplify]: Extracting # 4 : cost 0 inf + 310478 2.046 * * [simplify]: iteration done: 5001 enodes (cost 6728 ) 2.047 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ y x) (+ y x)) 2 (+ (log (+ x y)) (log (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (fabs (+ x y)) (fabs (+ x y)) (* (fma (* x x) x (* (* y y) y)) (fma (* x x) x (* (* y y) y))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (fma (* x x) x (* (* y y) y)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (fma (* x x) x (* (* y y) y)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y x) (+ y x) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) (+ y x) (+ y x) 2 (* x (+ y x)) (* y (+ x y)) (* (+ y x) x) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ y x) (sqrt (+ y x))) (+ y x) (+ y x) (* (cbrt (+ x y)) (+ x y)) (* (+ y x) (sqrt (+ y x))) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (fma (* x x) x (* (* y y) y)) (+ y x)) (* (* (+ y x) (+ y x)) (- x y)) (* (fma (* x x) x (* (* y y) y)) (+ y x)) (* (* (+ y x) (+ y x)) (- x y)) (fma y y (fma (* 2 x) y (* x x))) (fma y y (fma (* 2 x) y (* x x))) (fma y y (fma (* 2 x) y (* x x))) 2.049 * * * [progress]: adding candidates to table 2.169 * * [progress]: iteration 2 / 4 2.169 * * * [progress]: picking best candidate 2.176 * * * * [pick]: Picked # 2.176 * * * [progress]: localizing error 2.188 * * * [progress]: generating rewritten candidates 2.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 2.188 * * * [progress]: generating series expansions 2.188 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 2.188 * [backup-simplify]: Simplify (fma (* 2 x) y (* x x)) into (fma (* 2 x) y (pow x 2)) 2.189 * [approximate]: Taking taylor expansion of (fma (* 2 x) y (pow x 2)) in (x y) around 0 2.189 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow x 2)) in y 2.189 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow x 2)) 2.189 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in y 2.189 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.189 * [taylor]: Taking taylor expansion of 2 in y 2.189 * [backup-simplify]: Simplify 2 into 2 2.189 * [taylor]: Taking taylor expansion of x in y 2.189 * [backup-simplify]: Simplify x into x 2.189 * [taylor]: Taking taylor expansion of y in y 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.189 * [taylor]: Taking taylor expansion of x in y 2.189 * [backup-simplify]: Simplify x into x 2.189 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow x 2)) in x 2.189 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow x 2)) 2.189 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 2.189 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.189 * [taylor]: Taking taylor expansion of 2 in x 2.189 * [backup-simplify]: Simplify 2 into 2 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of y in x 2.189 * [backup-simplify]: Simplify y into y 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow x 2)) in x 2.189 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow x 2)) 2.189 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 2.189 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.189 * [taylor]: Taking taylor expansion of 2 in x 2.189 * [backup-simplify]: Simplify 2 into 2 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of y in x 2.189 * [backup-simplify]: Simplify y into y 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* 2 0) into 0 2.190 * [backup-simplify]: Simplify (* 0 y) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [taylor]: Taking taylor expansion of 0 in y 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 2 y)) into (* 2 y) 2.191 * [backup-simplify]: Simplify (+ (* 2 y) 0) into (* 2 y) 2.191 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.191 * [taylor]: Taking taylor expansion of 2 in y 2.191 * [backup-simplify]: Simplify 2 into 2 2.191 * [taylor]: Taking taylor expansion of y in y 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* 2 0) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 y))) into 0 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 0 1) into 1 2.193 * [taylor]: Taking taylor expansion of 1 in y 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.194 * [backup-simplify]: Simplify 2 into 2 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 y)))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [taylor]: Taking taylor expansion of 0 in y 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [taylor]: Taking taylor expansion of 0 in y 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 2.200 * [backup-simplify]: Simplify (fma (* 2 (/ 1 x)) (/ 1 y) (* (/ 1 x) (/ 1 x))) into (fma (/ 2 x) (/ 1 y) (/ 1 (pow x 2))) 2.200 * [approximate]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (/ 1 (pow x 2))) in (x y) around 0 2.200 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (/ 1 (pow x 2))) in y 2.200 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (/ 1 (pow x 2))) 2.200 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in y 2.200 * [taylor]: Taking taylor expansion of (/ 2 x) in y 2.200 * [taylor]: Taking taylor expansion of 2 in y 2.200 * [backup-simplify]: Simplify 2 into 2 2.200 * [taylor]: Taking taylor expansion of x in y 2.200 * [backup-simplify]: Simplify x into x 2.200 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 2.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (/ 1 1) into 1 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.201 * [taylor]: Taking taylor expansion of x in y 2.201 * [backup-simplify]: Simplify x into x 2.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.201 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (/ 1 (pow x 2))) in x 2.201 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (/ 1 (pow x 2))) 2.201 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 2.201 * [taylor]: Taking taylor expansion of (/ 2 x) in x 2.201 * [taylor]: Taking taylor expansion of 2 in x 2.201 * [backup-simplify]: Simplify 2 into 2 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (/ 2 1) into 2 2.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.202 * [backup-simplify]: Simplify y into y 2.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (/ 1 (pow x 2))) in x 2.202 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (/ 1 (pow x 2))) 2.202 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 2.202 * [taylor]: Taking taylor expansion of (/ 2 x) in x 2.202 * [taylor]: Taking taylor expansion of 2 in x 2.202 * [backup-simplify]: Simplify 2 into 2 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 2 1) into 2 2.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.203 * [taylor]: Taking taylor expansion of y in x 2.203 * [backup-simplify]: Simplify y into y 2.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ 0 1) into 1 2.204 * [taylor]: Taking taylor expansion of 1 in y 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 2.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.205 * [taylor]: Taking taylor expansion of 2 in y 2.205 * [backup-simplify]: Simplify 2 into 2 2.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.205 * [taylor]: Taking taylor expansion of y in y 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.206 * [backup-simplify]: Simplify (* 2 1) into 2 2.206 * [backup-simplify]: Simplify 2 into 2 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in y 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [taylor]: Taking taylor expansion of 0 in y 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 2.217 * [backup-simplify]: Simplify (fma (* 2 (/ 1 (- x))) (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ -2 x) (/ -1 y) (/ 1 (pow x 2))) 2.217 * [approximate]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (/ 1 (pow x 2))) in (x y) around 0 2.217 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (/ 1 (pow x 2))) in y 2.217 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (/ 1 (pow x 2))) 2.217 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in y 2.217 * [taylor]: Taking taylor expansion of (/ -2 x) in y 2.217 * [taylor]: Taking taylor expansion of -2 in y 2.217 * [backup-simplify]: Simplify -2 into -2 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [backup-simplify]: Simplify x into x 2.217 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 2.217 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.217 * [taylor]: Taking taylor expansion of -1 in y 2.217 * [backup-simplify]: Simplify -1 into -1 2.217 * [taylor]: Taking taylor expansion of y in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (/ -1 1) into -1 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.218 * [taylor]: Taking taylor expansion of x in y 2.218 * [backup-simplify]: Simplify x into x 2.218 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.218 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (/ 1 (pow x 2))) in x 2.218 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (/ 1 (pow x 2))) 2.218 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 2.218 * [taylor]: Taking taylor expansion of (/ -2 x) in x 2.218 * [taylor]: Taking taylor expansion of -2 in x 2.218 * [backup-simplify]: Simplify -2 into -2 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (/ -2 1) into -2 2.219 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.219 * [taylor]: Taking taylor expansion of -1 in x 2.219 * [backup-simplify]: Simplify -1 into -1 2.219 * [taylor]: Taking taylor expansion of y in x 2.219 * [backup-simplify]: Simplify y into y 2.219 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (* 1 1) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (/ 1 (pow x 2))) in x 2.220 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (/ 1 (pow x 2))) 2.220 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 2.220 * [taylor]: Taking taylor expansion of (/ -2 x) in x 2.220 * [taylor]: Taking taylor expansion of -2 in x 2.220 * [backup-simplify]: Simplify -2 into -2 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (/ -2 1) into -2 2.220 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.220 * [taylor]: Taking taylor expansion of -1 in x 2.220 * [backup-simplify]: Simplify -1 into -1 2.220 * [taylor]: Taking taylor expansion of y in x 2.220 * [backup-simplify]: Simplify y into y 2.220 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [backup-simplify]: Simplify (+ 0 1) into 1 2.221 * [taylor]: Taking taylor expansion of 1 in y 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* -2 (/ -1 y)) into (/ 2 y) 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 2.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.222 * [taylor]: Taking taylor expansion of 2 in y 2.222 * [backup-simplify]: Simplify 2 into 2 2.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.222 * [taylor]: Taking taylor expansion of y in y 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (* 2 1) into 2 2.223 * [backup-simplify]: Simplify 2 into 2 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ -1 y))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 2.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in y 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [taylor]: Taking taylor expansion of 0 in y 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 2.241 * * * [progress]: simplifying candidates 2.241 * [simplify]: Simplifying: (expm1 (fma (* 2 x) y (* x x))) (log1p (fma (* 2 x) y (* x x))) (* (* 2 x) y) (log (fma (* 2 x) y (* x x))) (exp (fma (* 2 x) y (* x x))) (* (cbrt (fma (* 2 x) y (* x x))) (cbrt (fma (* 2 x) y (* x x)))) (cbrt (fma (* 2 x) y (* x x))) (* (* (fma (* 2 x) y (* x x)) (fma (* 2 x) y (* x x))) (fma (* 2 x) y (* x x))) (sqrt (fma (* 2 x) y (* x x))) (sqrt (fma (* 2 x) y (* x x))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 2.241 * * [simplify]: Extracting # 0 : cost 10 inf + 0 2.241 * * [simplify]: Extracting # 1 : cost 16 inf + 0 2.242 * * [simplify]: Extracting # 2 : cost 19 inf + 1 2.242 * * [simplify]: Extracting # 3 : cost 17 inf + 3 2.242 * * [simplify]: Extracting # 4 : cost 5 inf + 1654 2.242 * * [simplify]: Extracting # 5 : cost 0 inf + 2879 2.243 * * [simplify]: iteration 0 : 20 enodes (cost 2984 ) 2.249 * * [simplify]: Extracting # 0 : cost 0 inf + 2879 2.249 * * [simplify]: Extracting # 1 : cost 1 inf + 2251 2.250 * * [simplify]: Extracting # 2 : cost 2 inf + 2251 2.251 * * [simplify]: Extracting # 3 : cost 0 inf + 2464 2.251 * * [simplify]: iteration 1 : 30 enodes (cost 2399 ) 2.262 * * [simplify]: Extracting # 0 : cost 0 inf + 2464 2.262 * * [simplify]: Extracting # 1 : cost 19 inf + 2252 2.263 * * [simplify]: Extracting # 2 : cost 0 inf + 4937 2.264 * * [simplify]: iteration 2 : 92 enodes (cost 2399 ) 2.316 * * [simplify]: Extracting # 0 : cost 0 inf + 4937 2.318 * * [simplify]: Extracting # 1 : cost 93 inf + 3599 2.321 * * [simplify]: Extracting # 2 : cost 2 inf + 17757 2.325 * * [simplify]: Extracting # 3 : cost 1 inf + 16998 2.329 * * [simplify]: Extracting # 4 : cost 0 inf + 17302 2.335 * * [simplify]: iteration 3 : 416 enodes (cost 2219 ) 2.752 * * [simplify]: Extracting # 0 : cost 0 inf + 17302 2.776 * * [simplify]: Extracting # 1 : cost 1107 inf + 13761 2.828 * * [simplify]: Extracting # 2 : cost 28 inf + 198434 2.893 * * [simplify]: Extracting # 3 : cost 9 inf + 198833 2.945 * * [simplify]: Extracting # 4 : cost 0 inf + 201848 3.014 * * [simplify]: iteration 4 : 3369 enodes (cost 1919 ) 5.895 * * [simplify]: Extracting # 0 : cost 0 inf + 201848 6.105 * * [simplify]: Extracting # 1 : cost 0 inf + 194096 6.203 * * [simplify]: iteration done: 5000 enodes (cost 1919 ) 6.203 * [simplify]: Simplified to: (expm1 (* (fma 2 y x) x)) (log1p (* (fma 2 y x) x)) (* (* 2 x) y) (log (* (fma 2 y x) x)) (exp (* (fma 2 y x) x)) (* (cbrt (* (fma 2 y x) x)) (cbrt (* (fma 2 y x) x))) (cbrt (* (fma 2 y x) x)) (* (* (fma 2 y x) x) (* (* (fma 2 y x) x) (* (fma 2 y x) x))) (sqrt (* (fma 2 y x) x)) (sqrt (* (fma 2 y x) x)) (* (fma 2 y x) x) (* (fma 2 y x) x) (* (fma 2 y x) x) 6.203 * * * [progress]: adding candidates to table 6.260 * * [progress]: iteration 3 / 4 6.260 * * * [progress]: picking best candidate 6.264 * * * * [pick]: Picked # 6.264 * * * [progress]: localizing error 6.273 * * * [progress]: generating rewritten candidates 6.273 * * * [progress]: generating series expansions 6.273 * * * [progress]: simplifying candidates 6.273 * [simplify]: Simplifying: 6.273 * * [simplify]: Extracting # 0 : cost 0 inf + 0 6.273 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 6.273 * * [simplify]: Extracting # 0 : cost 0 inf + 0 6.273 * * [simplify]: iteration done: 0 enodes (cost 0 ) 6.273 * [simplify]: Simplified to: 6.273 * * * [progress]: adding candidates to table 6.273 * [progress]: [Phase 3 of 3] Extracting. 6.277 * [simplify]: Simplifying: (fma y y (* (fma 2 y x) x)) 6.277 * * [simplify]: Extracting # 0 : cost 1 inf + 0 6.277 * * [simplify]: Extracting # 1 : cost 3 inf + 0 6.277 * * [simplify]: Extracting # 2 : cost 4 inf + 1 6.277 * * [simplify]: Extracting # 3 : cost 4 inf + 2 6.277 * * [simplify]: Extracting # 4 : cost 0 inf + 312 6.277 * * [simplify]: iteration 0 : 6 enodes (cost 153 ) 6.278 * * [simplify]: Extracting # 0 : cost 0 inf + 312 6.278 * * [simplify]: iteration 1 : 7 enodes (cost 153 ) 6.278 * * [simplify]: Extracting # 0 : cost 0 inf + 312 6.278 * * [simplify]: iteration done: 7 enodes (cost 153 ) 6.278 * [simplify]: Simplified to: (fma y y (* (fma 2 y x) x)) 7.254 * [regime-testing]: Baseline error score: 0.007808405002955031 7.267 * [regime-testing]: Oracle error score: 0.007808405002955031 7.267 * [regime-testing]: End program error score: 0.007808405002955031 7.379 * [regime-testing]: Target error score: 0.01368819266112385