16.103 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.026 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.038 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.040 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.043 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.049 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.074 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.332 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.334 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.338 * * [progress]: iteration 1 / 4 0.338 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.349 * * * [progress]: generating series expansions 0.349 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.349 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.349 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of 3 in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.349 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.349 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.356 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.356 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.357 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.357 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.369 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.369 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of 3 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.370 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.371 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.371 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of 3 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.382 * * * [progress]: simplifying candidates 0.382 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.385 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.387 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.389 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.394 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.431 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.432 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.432 * * * [progress]: adding candidates to table 0.452 * * [progress]: iteration 2 / 4 0.452 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.474 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.483 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.494 * * * [progress]: generating series expansions 0.494 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.494 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.494 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of 3 in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of 3 in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.507 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of 3 in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of 3 in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.520 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of 3 in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.530 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.530 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.530 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.530 * [taylor]: Taking taylor expansion of 3 in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of 3 in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of 3 in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 0 in x 0.532 * [taylor]: Taking taylor expansion of 3 in x 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.536 * [taylor]: Taking taylor expansion of 0 in x 0.536 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of 3 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of 3 in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of 3 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of 3 in x 0.541 * [taylor]: Taking taylor expansion of 0 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of 3 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of 3 in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.551 * [taylor]: Taking taylor expansion of 3 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of 3 in x 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of 0 in x 0.563 * * * [progress]: simplifying candidates 0.563 * [simplify]: Simplifying using # : (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (expm1 (+ (* 3 (* y y)) (* x x))) (log1p (+ (* 3 (* y y)) (* x x))) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.567 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.571 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.584 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.661 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.663 * [simplify]: Simplified to: (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (expm1 (+ (* 3 (* y y)) (* x x))) (log1p (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (fma 27 (pow (pow y 2) 3) (pow x 6)) (fma (pow y 4) 9 (* (pow x 2) (- (pow x 2) (* 3 (* y y))))) (fma (pow y 4) 9 (* (- (pow x 3)) x)) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.663 * * * [progress]: adding candidates to table 0.718 * * [progress]: iteration 3 / 4 0.718 * * * [progress]: picking best candidate 0.726 * * * * [pick]: Picked # 0.726 * * * [progress]: localizing error 0.732 * * * [progress]: generating rewritten candidates 0.732 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.742 * * * [progress]: generating series expansions 0.742 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.742 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.742 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of 3 in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of 3 in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.750 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.750 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of 3 in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of 3 in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.758 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.758 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of 3 in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of 3 in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.766 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.767 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.767 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.767 * [taylor]: Taking taylor expansion of 3 in x 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of 3 in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of 3 in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of 0 in x 0.768 * [taylor]: Taking taylor expansion of 3 in x 0.770 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.774 * [taylor]: Taking taylor expansion of 3 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.774 * [taylor]: Taking taylor expansion of 3 in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.775 * [taylor]: Taking taylor expansion of 3 in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of 3 in x 0.777 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.785 * [taylor]: Taking taylor expansion of 0 in x 0.786 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of 3 in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.787 * [taylor]: Taking taylor expansion of 3 in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.788 * [taylor]: Taking taylor expansion of 3 in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of 3 in x 0.790 * [taylor]: Taking taylor expansion of 0 in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of 0 in x 0.798 * [taylor]: Taking taylor expansion of 0 in x 0.799 * * * [progress]: simplifying candidates 0.800 * [simplify]: Simplifying using # : (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (expm1 (+ (* (* 3 y) y) (* x x))) (log1p (+ (* (* 3 y) y) (* x x))) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.803 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.808 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.829 * * [simplify]: iteration 2 : 4389 enodes (cost 147 ) 0.927 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.928 * [simplify]: Simplified to: (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (expm1 (+ (* (* 3 y) y) (* x x))) (log1p (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (fma (* 3 y) y (* x x)) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (fma 27 (pow (pow y 2) 3) (pow x 6)) (fma 9 (pow y 4) (* (pow x 2) (- (pow x 2) (* (* 3 y) y)))) (fma 9 (pow y 4) (* (- (pow x 3)) x)) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) 0.929 * * * [progress]: adding candidates to table 0.980 * * [progress]: iteration 4 / 4 0.980 * * * [progress]: picking best candidate 0.988 * * * * [pick]: Picked # 0.988 * * * [progress]: localizing error 0.996 * * * [progress]: generating rewritten candidates 0.996 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.997 * * * [progress]: generating series expansions 0.997 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.997 * [approximate]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in (y x) around 0 0.998 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in x 0.998 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in x 0.998 * [taylor]: Taking taylor expansion of (* 3 y) in x 0.998 * [taylor]: Taking taylor expansion of 3 in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.998 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.998 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.998 * [taylor]: Taking taylor expansion of 3 in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.998 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.998 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.998 * [taylor]: Taking taylor expansion of 3 in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of 0 in x 1.002 * [taylor]: Taking taylor expansion of 3 in x 1.004 * [taylor]: Taking taylor expansion of 0 in x 1.007 * [taylor]: Taking taylor expansion of 0 in x 1.007 * [approximate]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in (y x) around 0 1.007 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in x 1.007 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 1.007 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 3 y) in x 1.007 * [taylor]: Taking taylor expansion of 3 in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 1.008 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 1.008 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 1.008 * [taylor]: Taking taylor expansion of (/ 3 y) in y 1.008 * [taylor]: Taking taylor expansion of 3 in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.009 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 1.009 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 1.009 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 1.009 * [taylor]: Taking taylor expansion of (/ 3 y) in y 1.009 * [taylor]: Taking taylor expansion of 3 in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.010 * [taylor]: Taking taylor expansion of 3 in x 1.012 * [taylor]: Taking taylor expansion of 0 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of 0 in x 1.019 * [taylor]: Taking taylor expansion of 0 in x 1.021 * [approximate]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in (y x) around 0 1.021 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in x 1.021 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 1.021 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in x 1.021 * [taylor]: Taking taylor expansion of (/ -3 y) in x 1.021 * [taylor]: Taking taylor expansion of -3 in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.021 * [taylor]: Taking taylor expansion of -1 in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 1.021 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 1.022 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 1.022 * [taylor]: Taking taylor expansion of (/ -3 y) in y 1.022 * [taylor]: Taking taylor expansion of -3 in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.022 * [taylor]: Taking taylor expansion of -1 in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 1.022 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 1.022 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 1.022 * [taylor]: Taking taylor expansion of (/ -3 y) in y 1.022 * [taylor]: Taking taylor expansion of -3 in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.023 * [taylor]: Taking taylor expansion of -1 in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.023 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of 3 in x 1.025 * [taylor]: Taking taylor expansion of 0 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 0 in x 1.033 * [taylor]: Taking taylor expansion of 0 in x 1.034 * * * [progress]: simplifying candidates 1.035 * [simplify]: Simplifying using # : (expm1 (fma (* 3 y) y (* x x))) (log1p (fma (* 3 y) y (* x x))) (* (* 3 y) y) (log (fma (* 3 y) y (* x x))) (exp (fma (* 3 y) y (* x x))) (* (cbrt (fma (* 3 y) y (* x x))) (cbrt (fma (* 3 y) y (* x x)))) (cbrt (fma (* 3 y) y (* x x))) (* (* (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x))) (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.038 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 1.040 * * [simplify]: iteration 1 : 82 enodes (cost 52 ) 1.042 * * [simplify]: iteration 2 : 266 enodes (cost 52 ) 1.047 * * [simplify]: iteration 3 : 1088 enodes (cost 52 ) 1.087 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 1.088 * [simplify]: Simplified to: (expm1 (fma (* 3 y) y (* x x))) (log1p (fma (* 3 y) y (* x x))) (* (* 3 y) y) (log (fma (* 3 y) y (* x x))) (exp (fma (* 3 y) y (* x x))) (* (cbrt (fma (* 3 y) y (* x x))) (cbrt (fma (* 3 y) y (* x x)))) (cbrt (fma (* 3 y) y (* x x))) (pow (fma (* 3 y) y (* x x)) 3) (sqrt (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) 1.088 * * * [progress]: adding candidates to table 1.106 * [progress]: [Phase 3 of 3] Extracting. 1.106 * * [regime]: Finding splitpoints for: (# # # # # #) 1.107 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.107 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.127 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.137 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.157 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.175 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.196 * * * [regime]: Found split indices: #