18.580 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.027 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.039 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.042 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.048 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.074 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.309 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.311 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.314 * * [progress]: iteration 1 / 4 0.314 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.323 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.323 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.323 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of 3 in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.323 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of 3 in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.324 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.324 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.330 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.330 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.330 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of 3 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.331 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.332 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.332 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of 3 in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.344 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.344 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.345 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.345 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of 3 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.346 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of 3 in x 0.349 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.357 * [taylor]: Taking taylor expansion of 0 in x 0.358 * * * [progress]: simplifying candidates 0.358 * [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))) 0.362 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.364 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.367 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.374 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.418 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.419 * [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)) 0.419 * * * [progress]: adding candidates to table 0.444 * * [progress]: iteration 2 / 4 0.444 * * * [progress]: picking best candidate 0.448 * * * * [pick]: Picked # 0.448 * * * [progress]: localizing error 0.454 * * * [progress]: generating rewritten candidates 0.454 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.460 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.466 * * * [progress]: generating series expansions 0.466 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.466 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.466 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of 3 in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of 3 in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.474 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.474 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of 3 in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of 3 in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.482 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.482 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of 3 in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.490 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.490 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of 3 in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of 3 in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of 3 in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 3 in x 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.496 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of 3 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of 3 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of 3 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 3 in x 0.501 * [taylor]: Taking taylor expansion of 0 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of 0 in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.512 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.513 * [taylor]: Taking taylor expansion of 3 in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.513 * [taylor]: Taking taylor expansion of 3 in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of 3 in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 3 in x 0.516 * [taylor]: Taking taylor expansion of 0 in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.526 * * * [progress]: simplifying candidates 0.526 * [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))) 0.530 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.535 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.549 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.607 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.608 * [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)) 0.608 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 3 / 4 0.664 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.675 * * * [progress]: generating rewritten candidates 0.675 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.680 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.685 * * * [progress]: generating series expansions 0.685 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.685 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.685 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of 3 in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.693 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.693 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of 3 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of 3 in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.702 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.702 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of 3 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of 3 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.710 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.710 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.710 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.710 * [taylor]: Taking taylor expansion of 3 in x 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of 3 in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of 3 in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 0 in x 0.712 * [taylor]: Taking taylor expansion of 3 in x 0.714 * [taylor]: Taking taylor expansion of 0 in x 0.717 * [taylor]: Taking taylor expansion of 0 in x 0.717 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.718 * [taylor]: Taking taylor expansion of 3 in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.718 * [taylor]: Taking taylor expansion of 3 in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of 3 in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of 3 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 0 in x 0.731 * [taylor]: Taking taylor expansion of 0 in x 0.733 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.733 * [taylor]: Taking taylor expansion of 3 in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of 3 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of 3 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 3 in x 0.737 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 0 in x 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.746 * * * [progress]: simplifying candidates 0.746 * [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))) 0.750 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.756 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.780 * * [simplify]: iteration 2 : 4328 enodes (cost 151 ) 0.860 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.861 * [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)) (pow (* (* 3 y) y) 3) (pow (* (* 3 y) y) 3) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (pow (* (* 3 y) y) 3) (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 (* (pow y 6) 9) 3 (pow x 6)) (fma 9 (pow y 4) (* (pow x 2) (- (pow x 2) (* (* 3 y) y)))) (fma 9 (pow y 4) (* (- x) (pow x 3))) (- (* (* 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)) 0.862 * * * [progress]: adding candidates to table 0.913 * * [progress]: iteration 4 / 4 0.913 * * * [progress]: picking best candidate 0.921 * * * * [pick]: Picked # 0.921 * * * [progress]: localizing error 0.926 * * * [progress]: generating rewritten candidates 0.926 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.927 * * * [progress]: generating series expansions 0.927 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.927 * [approximate]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in (y x) around 0 0.927 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in x 0.927 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.927 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in x 0.927 * [taylor]: Taking taylor expansion of (* 3 y) in x 0.928 * [taylor]: Taking taylor expansion of 3 in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.928 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.928 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.928 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.928 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.928 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.928 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.928 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.928 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.931 * [taylor]: Taking taylor expansion of 3 in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [taylor]: Taking taylor expansion of 0 in x 0.937 * [approximate]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in (y x) around 0 0.937 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in x 0.937 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.937 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 3 y) in x 0.937 * [taylor]: Taking taylor expansion of 3 in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.937 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.937 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 0.937 * [taylor]: Taking taylor expansion of (/ 3 y) in y 0.938 * [taylor]: Taking taylor expansion of 3 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.938 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.938 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ 3 y) in y 0.938 * [taylor]: Taking taylor expansion of 3 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of 3 in x 0.941 * [taylor]: Taking taylor expansion of 0 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 0 in x 0.949 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [approximate]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in (y x) around 0 0.950 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in x 0.950 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.950 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in x 0.950 * [taylor]: Taking taylor expansion of (/ -3 y) in x 0.950 * [taylor]: Taking taylor expansion of -3 in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.950 * [taylor]: Taking taylor expansion of -1 in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.951 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.951 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 0.951 * [taylor]: Taking taylor expansion of (/ -3 y) in y 0.951 * [taylor]: Taking taylor expansion of -3 in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.951 * [taylor]: Taking taylor expansion of -1 in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.952 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.952 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 0.952 * [taylor]: Taking taylor expansion of (/ -3 y) in y 0.952 * [taylor]: Taking taylor expansion of -3 in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.952 * [taylor]: Taking taylor expansion of -1 in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.953 * [taylor]: Taking taylor expansion of x in y 0.953 * [taylor]: Taking taylor expansion of 3 in x 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 0 in x 0.962 * [taylor]: Taking taylor expansion of 0 in x 0.964 * * * [progress]: simplifying candidates 0.964 * [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))) 0.967 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.969 * * [simplify]: iteration 1 : 82 enodes (cost 52 ) 0.971 * * [simplify]: iteration 2 : 266 enodes (cost 52 ) 0.976 * * [simplify]: iteration 3 : 1088 enodes (cost 52 ) 1.016 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 1.017 * [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)) 1.017 * * * [progress]: adding candidates to table 1.037 * [progress]: [Phase 3 of 3] Extracting. 1.038 * * [regime]: Finding splitpoints for: (# # # # # #) 1.038 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.038 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.056 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.076 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.095 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.117 * * * [regime]: Found split indices: #