17.245 * [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. 0.020 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.038 * * [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 ) 0.076 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.297 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.299 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.309 * * * [progress]: generating series expansions 0.309 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.309 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.309 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.309 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.309 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of 3 in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.310 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.310 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.310 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.310 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of 3 in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.316 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.316 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of 3 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.317 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.317 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.317 * [taylor]: Taking taylor expansion of 3 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.318 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.318 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of 3 in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [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 0.330 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [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 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.331 * [taylor]: Taking taylor expansion of x in y 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 0.333 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.346 * * * [progress]: simplifying candidates 0.346 * [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))) 0.349 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.350 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.353 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.358 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.399 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.400 * [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)) 0.400 * * * [progress]: adding candidates to table 0.423 * * [progress]: iteration 2 / 4 0.423 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.437 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.443 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.450 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.450 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 3 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 3 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.461 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.461 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of 3 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of 3 in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.469 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of 3 in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of 3 in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.476 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.477 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of 3 in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of 3 in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of 3 in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 0 in x 0.478 * [taylor]: Taking taylor expansion of 3 in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.482 * [taylor]: Taking taylor expansion of 0 in x 0.483 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of 3 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of 3 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of 3 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.487 * [taylor]: Taking taylor expansion of 0 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 0 in x 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of 3 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of 3 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of 3 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 3 in x 0.499 * [taylor]: Taking taylor expansion of 0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of 0 in x 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.508 * * * [progress]: simplifying candidates 0.509 * [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))) 0.512 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.517 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.530 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.589 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.590 * [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)) 0.590 * * * [progress]: adding candidates to table 0.651 * * [progress]: iteration 3 / 4 0.651 * * * [progress]: picking best candidate 0.657 * * * * [pick]: Picked # 0.657 * * * [progress]: localizing error 0.662 * * * [progress]: generating rewritten candidates 0.662 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.668 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.675 * * * [progress]: generating series expansions 0.675 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.675 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.675 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of 3 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of 3 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.683 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.683 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of 3 in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of 3 in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.691 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of 3 in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of 3 in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.699 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.699 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of 3 in x 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of 3 in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of 3 in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of 0 in x 0.701 * [taylor]: Taking taylor expansion of 3 in x 0.702 * [taylor]: Taking taylor expansion of 0 in x 0.705 * [taylor]: Taking taylor expansion of 0 in x 0.705 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.706 * [taylor]: Taking taylor expansion of 3 in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.706 * [taylor]: Taking taylor expansion of 3 in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.707 * [taylor]: Taking taylor expansion of 3 in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 3 in x 0.709 * [taylor]: Taking taylor expansion of 0 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of 0 in x 0.716 * [taylor]: Taking taylor expansion of 0 in x 0.718 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [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 0.719 * [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 0.719 * [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 0.720 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of 3 in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.732 * [taylor]: Taking taylor expansion of 0 in x 0.733 * * * [progress]: simplifying candidates 0.734 * [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))) 0.738 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.743 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.765 * * [simplify]: iteration 2 : 4389 enodes (cost 147 ) 0.860 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 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)) (* 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)) 0.861 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 4 / 4 0.921 * * * [progress]: picking best candidate 0.925 * * * * [pick]: Picked # 0.926 * * * [progress]: localizing error 0.933 * * * [progress]: generating rewritten candidates 0.933 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.954 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.963 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.986 * * * [progress]: generating series expansions 0.986 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.987 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.987 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.987 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.987 * [taylor]: Taking taylor expansion of 3 in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.988 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.988 * [taylor]: Taking taylor expansion of 3 in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 1.008 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.008 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.008 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.008 * [taylor]: Taking taylor expansion of 3 in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.011 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.011 * [taylor]: Taking taylor expansion of 3 in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.031 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.031 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.031 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.031 * [taylor]: Taking taylor expansion of 3 in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.033 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.033 * [taylor]: Taking taylor expansion of 3 in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.055 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.055 * [approximate]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in (y) around 0 1.055 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.055 * [taylor]: Taking taylor expansion of 3 in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.056 * [taylor]: Taking taylor expansion of 3 in y 1.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.069 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.069 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.069 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.069 * [taylor]: Taking taylor expansion of 3 in y 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.071 * [taylor]: Taking taylor expansion of 3 in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.083 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.083 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.083 * [taylor]: Taking taylor expansion of 3 in y 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.085 * [taylor]: Taking taylor expansion of 3 in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.097 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.098 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.098 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.098 * [taylor]: Taking taylor expansion of 3 in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.099 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.099 * [taylor]: Taking taylor expansion of 3 in y 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.099 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.099 * [taylor]: Taking taylor expansion of 3 in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of 0 in x 1.104 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.104 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.104 * [taylor]: Taking taylor expansion of 3 in x 1.108 * [taylor]: Taking taylor expansion of 0 in x 1.112 * [taylor]: Taking taylor expansion of 0 in x 1.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.115 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.115 * [taylor]: Taking taylor expansion of 3 in x 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.117 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.117 * [taylor]: Taking taylor expansion of 3 in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.120 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.120 * [taylor]: Taking taylor expansion of 3 in y 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.127 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.127 * [taylor]: Taking taylor expansion of 3 in x 1.129 * [taylor]: Taking taylor expansion of 0 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of 0 in x 1.141 * [taylor]: Taking taylor expansion of 0 in x 1.144 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.145 * [taylor]: Taking taylor expansion of 3 in x 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.147 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.147 * [taylor]: Taking taylor expansion of 3 in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.150 * [taylor]: Taking taylor expansion of x in y 1.150 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.150 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.150 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.150 * [taylor]: Taking taylor expansion of 3 in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.154 * [taylor]: Taking taylor expansion of 3 in x 1.156 * [taylor]: Taking taylor expansion of 0 in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of 0 in x 1.168 * [taylor]: Taking taylor expansion of 0 in x 1.171 * * * [progress]: simplifying candidates 1.172 * [simplify]: Simplifying using # : (expm1 (* (sqrt 3) (* (sqrt 3) (* y y)))) (log1p (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log y) (log y)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* y y)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* y y)))) (log (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (expm1 (* (sqrt 3) (* y y))) (log1p (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (+ (log (sqrt 3)) (+ (log y) (log y))) (+ (log (sqrt 3)) (log (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (sqrt 3) (* y y))) (cbrt (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* y y))) (* (* (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (expm1 (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (log1p (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* x x))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (* (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (- (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 1.178 * * [simplify]: iteration 0 : 244 enodes (cost 426 ) 1.184 * * [simplify]: iteration 1 : 1036 enodes (cost 342 ) 1.206 * * [simplify]: iteration 2 : 4577 enodes (cost 311 ) 1.319 * * [simplify]: iteration 3 : 5001 enodes (cost 311 ) 1.321 * [simplify]: Simplified to: (expm1 (* (sqrt 3) (* (sqrt 3) (* y y)))) (log1p (* (sqrt 3) (* (sqrt 3) (* y y)))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (fma 2 (log y) (log 3)) (fma 2 (log y) (log 3)) (fma 2 (log y) (log 3)) (fma 2 (log y) (log 3)) (pow (exp 3) (pow y 2)) (pow (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (pow (* 3 (pow y 2)) 3) (fabs (* (sqrt 3) y)) (fabs (* (sqrt 3) y)) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* 3 (pow y 2)) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* 3 (pow y 2)) (expm1 (* (sqrt 3) (* y y))) (log1p (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (pow (* (sqrt 3) (* y y)) 3) (* (cbrt (* (sqrt 3) (* y y))) (cbrt (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (sqrt (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (expm1 (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (log1p (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (pow (fma 3 (pow y 2) (pow x 2)) 3) (hypot (* (sqrt 3) y) x) (hypot (* (sqrt 3) y) x) (fma 27 (pow (pow y 2) 3) (pow x 6)) (fma 9 (pow y 4) (* (pow x 2) (- (pow x 2) (* 3 (pow y 2))))) (fma 9 (pow y 4) (* (- (pow x 3)) x)) (fma 3 (pow y 2) (- (* x x))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) 1.321 * * * [progress]: adding candidates to table 1.451 * [progress]: [Phase 3 of 3] Extracting. 1.451 * * [regime]: Finding splitpoints for: (# # # # #) 1.452 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.452 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.468 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.484 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.499 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.518 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.535 * * * [regime]: Found split indices: #