8.127 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (- (* x x) (* y y)) 0.029 * * [simplify]: iteration 0: 5 enodes 0.031 * * [simplify]: iteration 1: 10 enodes 0.032 * * [simplify]: iteration 2: 17 enodes 0.034 * * [simplify]: iteration 3: 32 enodes 0.038 * * [simplify]: iteration 4: 58 enodes 0.050 * * [simplify]: iteration 5: 129 enodes 0.081 * * [simplify]: iteration 6: 281 enodes 0.163 * * [simplify]: iteration 7: 703 enodes 1.053 * * [simplify]: iteration 8: 3184 enodes 2.488 * * [simplify]: iteration complete: 5000 enodes 2.488 * * [simplify]: Extracting #0: cost 1 inf + 0 2.488 * * [simplify]: Extracting #1: cost 139 inf + 0 2.491 * * [simplify]: Extracting #2: cost 1135 inf + 3 2.494 * * [simplify]: Extracting #3: cost 1018 inf + 1047 2.498 * * [simplify]: Extracting #4: cost 149 inf + 6906 2.501 * * [simplify]: Extracting #5: cost 1 inf + 8257 2.504 * * [simplify]: Extracting #6: cost 0 inf + 8263 2.509 * [simplify]: Simplified to: (- (* x x) (* y y)) 2.510 * * [progress]: iteration 1 / 4 2.510 * * * [progress]: picking best candidate 2.513 * * * * [pick]: Picked # 2.513 * * * [progress]: localizing error 2.520 * * * [progress]: generating rewritten candidates 2.520 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.534 * * * [progress]: generating series expansions 2.534 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.534 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 2.534 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 2.534 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.534 * [taylor]: Taking taylor expansion of x in y 2.534 * [backup-simplify]: Simplify x into x 2.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.534 * [taylor]: Taking taylor expansion of y in y 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.535 * [taylor]: Taking taylor expansion of y in x 2.535 * [backup-simplify]: Simplify y into y 2.535 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.535 * [taylor]: Taking taylor expansion of y in x 2.535 * [backup-simplify]: Simplify y into y 2.535 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.535 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.535 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.535 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.535 * [taylor]: Taking taylor expansion of y in y 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.536 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [taylor]: Taking taylor expansion of 0 in y 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (* 1 1) into 1 2.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify (+ 1 0) into 1 2.538 * [taylor]: Taking taylor expansion of 1 in y 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (* 1 1) into 1 2.539 * [backup-simplify]: Simplify (- 1) into -1 2.539 * [backup-simplify]: Simplify -1 into -1 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.540 * [backup-simplify]: Simplify (- 0) into 0 2.540 * [backup-simplify]: Simplify (+ 0 0) into 0 2.540 * [taylor]: Taking taylor expansion of 0 in y 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.542 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.542 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [taylor]: Taking taylor expansion of 0 in y 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.543 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.543 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.543 * [taylor]: Taking taylor expansion of x in y 2.543 * [backup-simplify]: Simplify x into x 2.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.543 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.543 * [taylor]: Taking taylor expansion of y in y 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.544 * [backup-simplify]: Simplify (/ 1 1) into 1 2.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.544 * [backup-simplify]: Simplify (/ 1 1) into 1 2.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.544 * [taylor]: Taking taylor expansion of y in x 2.545 * [backup-simplify]: Simplify y into y 2.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (* 1 1) into 1 2.545 * [backup-simplify]: Simplify (/ 1 1) into 1 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.545 * [taylor]: Taking taylor expansion of y in x 2.545 * [backup-simplify]: Simplify y into y 2.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.546 * [backup-simplify]: Simplify (+ 1 0) into 1 2.546 * [taylor]: Taking taylor expansion of 1 in y 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [taylor]: Taking taylor expansion of 0 in y 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.548 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.548 * [taylor]: Taking taylor expansion of y in y 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (/ 1 1) into 1 2.549 * [backup-simplify]: Simplify (- 1) into -1 2.549 * [backup-simplify]: Simplify -1 into -1 2.549 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.551 * [backup-simplify]: Simplify (- 0) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.551 * [taylor]: Taking taylor expansion of 0 in y 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (- 0) into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.554 * [taylor]: Taking taylor expansion of 0 in y 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (- 0) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 2.556 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.556 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.556 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.556 * [taylor]: Taking taylor expansion of x in y 2.557 * [backup-simplify]: Simplify x into x 2.557 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.557 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.557 * [taylor]: Taking taylor expansion of y in y 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (* 1 1) into 1 2.558 * [backup-simplify]: Simplify (/ 1 1) into 1 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.558 * [taylor]: Taking taylor expansion of y in x 2.558 * [backup-simplify]: Simplify y into y 2.558 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.558 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.558 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.558 * [taylor]: Taking taylor expansion of x in x 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (* 1 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1 1) into 1 2.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.559 * [taylor]: Taking taylor expansion of y in x 2.559 * [backup-simplify]: Simplify y into y 2.559 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.559 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.559 * [backup-simplify]: Simplify (+ 1 0) into 1 2.559 * [taylor]: Taking taylor expansion of 1 in y 2.559 * [backup-simplify]: Simplify 1 into 1 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [taylor]: Taking taylor expansion of 0 in y 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.562 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.562 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.562 * [taylor]: Taking taylor expansion of y in y 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [backup-simplify]: Simplify (- 1) into -1 2.562 * [backup-simplify]: Simplify -1 into -1 2.562 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.564 * [backup-simplify]: Simplify (- 0) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [taylor]: Taking taylor expansion of 0 in y 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (- 0) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.567 * [backup-simplify]: Simplify (- 0) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.568 * [taylor]: Taking taylor expansion of 0 in y 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (- 0) into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 2.569 * * * [progress]: simplifying candidates 2.570 * [simplify]: Simplifying: (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 2.570 * * [simplify]: iteration 0: 33 enodes 2.576 * * [simplify]: iteration 1: 111 enodes 2.629 * * [simplify]: iteration 2: 589 enodes 2.843 * * [simplify]: iteration complete: 5000 enodes 2.843 * * [simplify]: Extracting #0: cost 14 inf + 0 2.844 * * [simplify]: Extracting #1: cost 378 inf + 0 2.847 * * [simplify]: Extracting #2: cost 1741 inf + 421 2.853 * * [simplify]: Extracting #3: cost 1092 inf + 8480 2.865 * * [simplify]: Extracting #4: cost 185 inf + 14419 2.872 * * [simplify]: Extracting #5: cost 22 inf + 15490 2.878 * * [simplify]: Extracting #6: cost 0 inf + 15618 2.884 * [simplify]: Simplified to: (pow (exp (+ x y)) (- x y)) (log (* (+ x y) (- x y))) (pow (exp (+ x y)) (- x y)) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (+ x y) (- x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (- (pow x 6) (pow y 6)) (+ (* y (+ (* y (* x x)) (pow y 3))) (pow x 4)) (* (- y) y) (- (pow x 4) (pow y 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (* (- y) y) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 2.884 * * * [progress]: adding candidates to table 2.926 * * [progress]: iteration 2 / 4 2.926 * * * [progress]: picking best candidate 2.929 * * * * [pick]: Picked # 2.929 * * * [progress]: localizing error 2.936 * * * [progress]: generating rewritten candidates 2.936 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.965 * * * [progress]: generating series expansions 2.965 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.966 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 2.966 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 2.966 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.966 * [taylor]: Taking taylor expansion of (+ x y) in y 2.966 * [taylor]: Taking taylor expansion of x in y 2.966 * [backup-simplify]: Simplify x into x 2.966 * [taylor]: Taking taylor expansion of y in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of (- x y) in y 2.966 * [taylor]: Taking taylor expansion of x in y 2.966 * [backup-simplify]: Simplify x into x 2.966 * [taylor]: Taking taylor expansion of y in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.966 * [taylor]: Taking taylor expansion of (+ x y) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [taylor]: Taking taylor expansion of (- x y) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.966 * [taylor]: Taking taylor expansion of (+ x y) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [taylor]: Taking taylor expansion of (- x y) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of y in x 2.967 * [backup-simplify]: Simplify y into y 2.967 * [backup-simplify]: Simplify (+ 0 y) into y 2.967 * [backup-simplify]: Simplify (- y) into (- y) 2.967 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.967 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.967 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.967 * [taylor]: Taking taylor expansion of -1 in y 2.967 * [backup-simplify]: Simplify -1 into -1 2.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.967 * [taylor]: Taking taylor expansion of y in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.968 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 2.968 * [taylor]: Taking taylor expansion of 0 in y 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.969 * [taylor]: Taking taylor expansion of 1 in y 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (* -1 1) into -1 2.970 * [backup-simplify]: Simplify -1 into -1 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.974 * [taylor]: Taking taylor expansion of 0 in y 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 2.977 * [taylor]: Taking taylor expansion of 0 in y 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.978 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 2.978 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 2.978 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.978 * [taylor]: Taking taylor expansion of x in y 2.978 * [backup-simplify]: Simplify x into x 2.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.978 * [taylor]: Taking taylor expansion of y in y 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.978 * [taylor]: Taking taylor expansion of x in y 2.978 * [backup-simplify]: Simplify x into x 2.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.978 * [taylor]: Taking taylor expansion of y in y 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.979 * [taylor]: Taking taylor expansion of y in x 2.979 * [backup-simplify]: Simplify y into y 2.979 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.979 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.980 * [taylor]: Taking taylor expansion of y in x 2.980 * [backup-simplify]: Simplify y into y 2.980 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.980 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.980 * [taylor]: Taking taylor expansion of x in x 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.980 * [taylor]: Taking taylor expansion of y in x 2.980 * [backup-simplify]: Simplify y into y 2.981 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.981 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.981 * [taylor]: Taking taylor expansion of x in x 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.981 * [taylor]: Taking taylor expansion of y in x 2.981 * [backup-simplify]: Simplify y into y 2.981 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.981 * [backup-simplify]: Simplify (+ 1 0) into 1 2.982 * [backup-simplify]: Simplify (+ 1 0) into 1 2.982 * [backup-simplify]: Simplify (* 1 1) into 1 2.982 * [taylor]: Taking taylor expansion of 1 in y 2.982 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.983 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.984 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0 2.984 * [taylor]: Taking taylor expansion of 0 in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2))) 2.987 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (* 1 1) into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.988 * [backup-simplify]: Simplify (- 1) into -1 2.988 * [backup-simplify]: Simplify -1 into -1 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 2.992 * [taylor]: Taking taylor expansion of 0 in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (- 0) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 2.997 * [taylor]: Taking taylor expansion of 0 in y 2.997 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (- 0) into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.000 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) 3.000 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 3.000 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in y 3.000 * [taylor]: Taking taylor expansion of -1 in y 3.000 * [backup-simplify]: Simplify -1 into -1 3.000 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 3.000 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.000 * [taylor]: Taking taylor expansion of y in y 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.000 * [taylor]: Taking taylor expansion of x in y 3.000 * [backup-simplify]: Simplify x into x 3.000 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.000 * [taylor]: Taking taylor expansion of x in y 3.000 * [backup-simplify]: Simplify x into x 3.001 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.001 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.001 * [taylor]: Taking taylor expansion of y in y 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 3.001 * [taylor]: Taking taylor expansion of -1 in x 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 3.001 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.001 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.001 * [taylor]: Taking taylor expansion of y in x 3.001 * [backup-simplify]: Simplify y into y 3.001 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.001 * [taylor]: Taking taylor expansion of x in x 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.002 * [taylor]: Taking taylor expansion of y in x 3.002 * [backup-simplify]: Simplify y into y 3.002 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.002 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 3.002 * [taylor]: Taking taylor expansion of -1 in x 3.002 * [backup-simplify]: Simplify -1 into -1 3.002 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 3.002 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.002 * [taylor]: Taking taylor expansion of y in x 3.002 * [backup-simplify]: Simplify y into y 3.002 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.003 * [taylor]: Taking taylor expansion of x in x 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.003 * [taylor]: Taking taylor expansion of y in x 3.003 * [backup-simplify]: Simplify y into y 3.003 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.004 * [backup-simplify]: Simplify (- 1) into -1 3.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.004 * [backup-simplify]: Simplify (+ 1 0) into 1 3.005 * [backup-simplify]: Simplify (* -1 1) into -1 3.005 * [backup-simplify]: Simplify (* -1 -1) into 1 3.005 * [taylor]: Taking taylor expansion of 1 in y 3.005 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.007 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 3.007 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.007 * [taylor]: Taking taylor expansion of 0 in y 3.007 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify (- 0) into 0 3.010 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 3.011 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 3.011 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.012 * [taylor]: Taking taylor expansion of y in y 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [backup-simplify]: Simplify (* 1 1) into 1 3.012 * [backup-simplify]: Simplify (/ 1 1) into 1 3.013 * [backup-simplify]: Simplify (- 1) into -1 3.013 * [backup-simplify]: Simplify -1 into -1 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 3.017 * [taylor]: Taking taylor expansion of 0 in y 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (- 0) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 3.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 3.024 * [taylor]: Taking taylor expansion of 0 in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.026 * * * [progress]: simplifying candidates 3.027 * [simplify]: Simplifying: (* (+ x y) (- x y)) (+ (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)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* x (+ x y)) (* (- y) (+ x 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) (+ (sqrt x) (sqrt y))) (* (+ 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 x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 3.028 * * [simplify]: iteration 0: 70 enodes 3.042 * * [simplify]: iteration 1: 213 enodes 3.151 * * [simplify]: iteration 2: 1544 enodes 3.557 * * [simplify]: iteration complete: 5002 enodes 3.557 * * [simplify]: Extracting #0: cost 27 inf + 0 3.559 * * [simplify]: Extracting #1: cost 1029 inf + 0 3.563 * * [simplify]: Extracting #2: cost 1939 inf + 604 3.569 * * [simplify]: Extracting #3: cost 1359 inf + 10661 3.577 * * [simplify]: Extracting #4: cost 117 inf + 22533 3.584 * * [simplify]: Extracting #5: cost 35 inf + 23072 3.594 * * [simplify]: Extracting #6: cost 24 inf + 23141 3.601 * * [simplify]: Extracting #7: cost 5 inf + 23215 3.608 * * [simplify]: Extracting #8: cost 0 inf + 23240 3.615 * [simplify]: Simplified to: (* (+ x y) (- x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (pow (exp (+ x y)) (- x y)) (pow (* (+ x y) (- x y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (+ x y) (- x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (- (pow x 3) (pow y 3)) (+ (pow y 3) (pow x 3))) (* (+ (* y y) (* x (+ x y))) (+ (* x x) (* y (- y x)))) (* (* (+ x y) (- x y)) (+ (pow y 3) (pow x 3))) (* (+ x y) (+ (* x x) (* y (- y x)))) (* (* (+ x y) (- x y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* y y) (* x (+ x y)))) (* (- x y) (* (* (+ x y) (+ x y)) (- x y))) (* (+ x y) (- x y)) (* (sqrt (- x y)) (sqrt (+ x y))) (* (sqrt (- x y)) (sqrt (+ x y))) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (* (+ x y) (cbrt (- x y))) (cbrt (- x y))) (* (sqrt (- x y)) (+ x y)) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (- x y) (cbrt (+ 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 y)) (- x y)) (* (- x y) (+ (pow y 3) (pow x 3))) (* (* (+ x y) (- x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 3.615 * * * [progress]: adding candidates to table 4.028 * [progress]: [Phase 3 of 3] Extracting. 4.028 * * [regime]: Finding splitpoints for: (# #) 4.029 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (- (* x x) (* y y)) y x) 4.029 * * * * [regimes]: Trying to branch on (* y y) from (# #) 4.054 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.086 * * * * [regimes]: Trying to branch on (- (* x x) (* y y)) from (# #) 4.112 * * * * [regimes]: Trying to branch on y from (# #) 4.140 * * * * [regimes]: Trying to branch on x from (# #) 4.172 * * * [regime]: Found split indices: #