3.866 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.043 * * [simplify]: iteration 0: 9 enodes 0.046 * * [simplify]: iteration 1: 22 enodes 0.050 * * [simplify]: iteration 2: 46 enodes 0.058 * * [simplify]: iteration 3: 95 enodes 0.081 * * [simplify]: iteration 4: 177 enodes 0.125 * * [simplify]: iteration 5: 339 enodes 0.285 * * [simplify]: iteration 6: 575 enodes 0.560 * * [simplify]: iteration 7: 1519 enodes 1.933 * * [simplify]: iteration complete: 5002 enodes 1.933 * * [simplify]: Extracting #0: cost 1 inf + 0 1.933 * * [simplify]: Extracting #1: cost 286 inf + 0 1.936 * * [simplify]: Extracting #2: cost 1023 inf + 1 1.947 * * [simplify]: Extracting #3: cost 1586 inf + 4035 1.972 * * [simplify]: Extracting #4: cost 952 inf + 73800 2.033 * * [simplify]: Extracting #5: cost 263 inf + 226185 2.109 * * [simplify]: Extracting #6: cost 22 inf + 292710 2.193 * * [simplify]: Extracting #7: cost 0 inf + 300274 2.285 * [simplify]: Simplified to: (- (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) 2.289 * * [progress]: iteration 1 / 4 2.289 * * * [progress]: picking best candidate 2.292 * * * * [pick]: Picked # 2.292 * * * [progress]: localizing error 2.303 * * * [progress]: generating rewritten candidates 2.303 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.341 * * * [progress]: generating series expansions 2.341 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.342 * [backup-simplify]: Simplify (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) into (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) 2.342 * [approximate]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in (y x) around 0 2.342 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in x 2.342 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.342 * [taylor]: Taking taylor expansion of y in x 2.342 * [backup-simplify]: Simplify y into y 2.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.342 * [taylor]: Taking taylor expansion of y in x 2.342 * [backup-simplify]: Simplify y into y 2.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.342 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.342 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.343 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.343 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.343 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.343 * [taylor]: Taking taylor expansion of y in y 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.343 * [taylor]: Taking taylor expansion of x in y 2.343 * [backup-simplify]: Simplify x into x 2.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.343 * [taylor]: Taking taylor expansion of y in y 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.343 * [taylor]: Taking taylor expansion of x in y 2.343 * [backup-simplify]: Simplify x into x 2.343 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.343 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.343 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.343 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.343 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.343 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.343 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.343 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.343 * [taylor]: Taking taylor expansion of y in y 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.344 * [backup-simplify]: Simplify x into x 2.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.344 * [backup-simplify]: Simplify x into x 2.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.344 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.344 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.344 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.344 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.344 * [taylor]: Taking taylor expansion of -1 in x 2.344 * [backup-simplify]: Simplify -1 into -1 2.344 * [backup-simplify]: Simplify -1 into -1 2.344 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.345 * [backup-simplify]: Simplify (- 0) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))))) into 0 2.346 * [taylor]: Taking taylor expansion of 0 in x 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 1 0) into 1 2.347 * [backup-simplify]: Simplify (* 1 1) into 1 2.347 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.348 * [backup-simplify]: Simplify (+ 1 0) into 1 2.348 * [backup-simplify]: Simplify (- (/ 1 (pow x 2)) (+ (* -1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (* 2 (/ 1 (pow x 2))) 2.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.348 * [taylor]: Taking taylor expansion of 2 in x 2.348 * [backup-simplify]: Simplify 2 into 2 2.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.352 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.354 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (* 2 (/ 1 (pow x 2))) (/ 0 (pow x 2))))) into 0 2.354 * [taylor]: Taking taylor expansion of 0 in x 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify -1 into -1 2.355 * [backup-simplify]: Simplify (/ (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.355 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [backup-simplify]: Simplify y into y 2.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [backup-simplify]: Simplify y into y 2.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [backup-simplify]: Simplify (- 1) into -1 2.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.357 * [backup-simplify]: Simplify (+ 0 1) into 1 2.357 * [backup-simplify]: Simplify (/ -1 1) into -1 2.357 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.358 * [taylor]: Taking taylor expansion of x in y 2.358 * [backup-simplify]: Simplify x into x 2.358 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.358 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.358 * [taylor]: Taking taylor expansion of y in y 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.359 * [taylor]: Taking taylor expansion of x in y 2.359 * [backup-simplify]: Simplify x into x 2.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.359 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.359 * [backup-simplify]: Simplify (+ 1 0) into 1 2.359 * [backup-simplify]: Simplify (+ 1 0) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (* 1 1) into 1 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.360 * [taylor]: Taking taylor expansion of x in y 2.360 * [backup-simplify]: Simplify x into x 2.360 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.360 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* 1 1) into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.361 * [taylor]: Taking taylor expansion of x in y 2.361 * [backup-simplify]: Simplify x into x 2.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.361 * [backup-simplify]: Simplify (+ 1 0) into 1 2.362 * [backup-simplify]: Simplify (+ 1 0) into 1 2.362 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [taylor]: Taking taylor expansion of 1 in x 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.364 * [taylor]: Taking taylor expansion of 0 in x 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.367 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.370 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.370 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.370 * [taylor]: Taking taylor expansion of 2 in x 2.370 * [backup-simplify]: Simplify 2 into 2 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.370 * [taylor]: Taking taylor expansion of x in x 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [backup-simplify]: Simplify (* 1 1) into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.384 * [taylor]: Taking taylor expansion of 0 in x 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.385 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.385 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.385 * [taylor]: Taking taylor expansion of y in x 2.385 * [backup-simplify]: Simplify y into y 2.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify (* 1 1) into 1 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.386 * [taylor]: Taking taylor expansion of y in x 2.386 * [backup-simplify]: Simplify y into y 2.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (* 1 1) into 1 2.387 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [backup-simplify]: Simplify (- 1) into -1 2.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.389 * [backup-simplify]: Simplify (+ 0 1) into 1 2.389 * [backup-simplify]: Simplify (/ -1 1) into -1 2.389 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.389 * [taylor]: Taking taylor expansion of y in y 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.390 * [taylor]: Taking taylor expansion of x in y 2.390 * [backup-simplify]: Simplify x into x 2.390 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.391 * [backup-simplify]: Simplify (/ 1 1) into 1 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.391 * [taylor]: Taking taylor expansion of x in y 2.391 * [backup-simplify]: Simplify x into x 2.392 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.392 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.392 * [backup-simplify]: Simplify (+ 1 0) into 1 2.393 * [backup-simplify]: Simplify (+ 1 0) into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.393 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.393 * [taylor]: Taking taylor expansion of y in y 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (* 1 1) into 1 2.394 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.394 * [taylor]: Taking taylor expansion of x in y 2.394 * [backup-simplify]: Simplify x into x 2.394 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.395 * [taylor]: Taking taylor expansion of y in y 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.395 * [taylor]: Taking taylor expansion of x in y 2.395 * [backup-simplify]: Simplify x into x 2.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.396 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.396 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [taylor]: Taking taylor expansion of 1 in x 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.402 * [taylor]: Taking taylor expansion of 0 in x 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.404 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.407 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.407 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.408 * [taylor]: Taking taylor expansion of 2 in x 2.408 * [backup-simplify]: Simplify 2 into 2 2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (* 1 1) into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.413 * [backup-simplify]: Simplify (- 0) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.422 * [taylor]: Taking taylor expansion of 0 in x 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * * * [progress]: simplifying candidates 2.423 * [simplify]: Simplifying: (- (log (- (* y y) (* x x))) (log (+ (* x x) (* y y)))) (log (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (exp (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (* (* (- (* y y) (* x x)) (- (* y y) (* x x))) (- (* y y) (* x x))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y))))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (* (* (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (- (- (* y y) (* x x))) (- (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (- (* y y) (* x x))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (sqrt (- (* y y) (* x x))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (- (* y y) (* x x))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) 1) (/ (sqrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (* y y) (* x x)) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) 1) (/ (- y x) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (* y y) (* x x))) (/ (- (* y y) (* x x)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (* y y) (* x x)) (sqrt (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) 1) (/ (+ (* x x) (* y y)) (cbrt (- (* y y) (* x x)))) (/ (+ (* x x) (* y y)) (sqrt (- (* y y) (* x x)))) (/ (+ (* x x) (* y y)) (- (* y y) (* x x))) (/ (+ (* x x) (* y y)) (- y x)) (/ (- (* y y) (* x x)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (- (* y y) (* x x)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* (* y y) (* y y)) (+ (* (* x x) (* x x)) (* (* y y) (* x x))))) (* (+ (* x x) (* y y)) (+ (* y y) (* x x))) -1 1 1 2.425 * * [simplify]: iteration 0: 80 enodes 2.453 * * [simplify]: iteration 1: 220 enodes 2.545 * * [simplify]: iteration 2: 739 enodes 3.267 * * [simplify]: iteration 3: 3092 enodes 4.021 * * [simplify]: iteration complete: 5005 enodes 4.021 * * [simplify]: Extracting #0: cost 45 inf + 0 4.022 * * [simplify]: Extracting #1: cost 582 inf + 2 4.027 * * [simplify]: Extracting #2: cost 1370 inf + 582 4.053 * * [simplify]: Extracting #3: cost 1048 inf + 88304 4.146 * * [simplify]: Extracting #4: cost 229 inf + 324796 4.304 * * [simplify]: Extracting #5: cost 13 inf + 398877 4.449 * * [simplify]: Extracting #6: cost 0 inf + 403179 4.565 * [simplify]: Simplified to: (log (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (log (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (exp (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (* (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))))) (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (* (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (sqrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (sqrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (- y x) (- (+ y x))) (- (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))) (* (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* y y) (* x x)))) (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* y y) (* x x))))) (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* y y) (* x x)))) (* (/ (cbrt (* (- y x) (+ y x))) (sqrt (+ (* y y) (* x x)))) (cbrt (* (- y x) (+ y x)))) (/ (cbrt (* (- y x) (+ y x))) (sqrt (+ (* y y) (* x x)))) (* (cbrt (* (- y x) (+ y x))) (cbrt (* (- y x) (+ y x)))) (/ (cbrt (* (- y x) (+ y x))) (+ (* y y) (* x x))) (/ (sqrt (* (- y x) (+ y x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ (sqrt (* (- y x) (+ y x))) (cbrt (+ (* y y) (* x x)))) (/ (sqrt (* (- y x) (+ y x))) (sqrt (+ (* y y) (* x x)))) (/ (sqrt (* (- y x) (+ y x))) (sqrt (+ (* y y) (* x x)))) (sqrt (* (- y x) (+ y x))) (/ (sqrt (* (- y x) (+ y x))) (+ (* y y) (* x x))) (/ (/ 1 (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (- (/ (* y y) (cbrt (+ (* y y) (* x x)))) (/ (* x x) (cbrt (+ (* y y) (* x x))))) (/ 1 (sqrt (+ (* y y) (* x x)))) (- (/ (* y y) (sqrt (+ (* y y) (* x x)))) (/ (* x x) (sqrt (+ (* y y) (* x x))))) 1 (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (+ y x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ (- y x) (cbrt (+ (* y y) (* x x)))) (/ (+ y x) (sqrt (+ (* y y) (* x x)))) (/ (- y x) (sqrt (+ (* y y) (* x x)))) (+ y x) (/ (- y x) (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (/ (+ (* y y) (* x x)) (+ y x)) (- y x)) (- (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))) (- (/ (* y y) (sqrt (+ (* y y) (* x x)))) (/ (* x x) (sqrt (+ (* y y) (* x x))))) (* (- y x) (+ y x)) (/ (+ (* y y) (* x x)) (cbrt (* (- y x) (+ y x)))) (/ (+ (* y y) (* x x)) (sqrt (* (- y x) (+ y x)))) (/ (/ (+ (* y y) (* x x)) (+ y x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (- (/ (* y y) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x)))) (/ (* x x) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x))))) (- (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (+ (* y y) (* x x)) (+ (* (* x x) (* x x)) (* (+ (* y y) (* x x)) (* y y)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) -1 1 1 4.568 * * * [progress]: adding candidates to table 4.739 * * [progress]: iteration 2 / 4 4.739 * * * [progress]: picking best candidate 4.744 * * * * [pick]: Picked # 4.744 * * * [progress]: localizing error 4.746 * * * [progress]: generating rewritten candidates 4.746 * * * [progress]: generating series expansions 4.746 * * * [progress]: simplifying candidates 4.746 * [simplify]: Simplifying: 4.746 * * [simplify]: iteration 0: 0 enodes 4.746 * * [simplify]: iteration complete: 0 enodes 4.746 * * [simplify]: Extracting #0: cost 0 inf + 0 4.746 * [simplify]: Simplified to: 4.746 * * * [progress]: adding candidates to table 4.746 * * [progress]: iteration 3 / 4 4.747 * * * [progress]: picking best candidate 4.749 * * * * [pick]: Picked # 4.749 * * * [progress]: localizing error 4.751 * * * [progress]: generating rewritten candidates 4.751 * * * [progress]: generating series expansions 4.751 * * * [progress]: simplifying candidates 4.751 * [simplify]: Simplifying: 4.751 * * [simplify]: iteration 0: 0 enodes 4.751 * * [simplify]: iteration complete: 0 enodes 4.751 * * [simplify]: Extracting #0: cost 0 inf + 0 4.751 * [simplify]: Simplified to: 4.751 * * * [progress]: adding candidates to table 4.752 * [progress]: [Phase 3 of 3] Extracting. 4.752 * * [regime]: Finding splitpoints for: (# # #) 4.752 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.752 * * * * [regimes]: Trying to branch on y from (# # #) 4.802 * * * * [regimes]: Trying to branch on x from (# # #) 4.840 * * * [regime]: Found split indices: #