16.136 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.025 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.037 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.040 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.046 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.072 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.297 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.298 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.300 * * [progress]: iteration 1 / 4 0.300 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.308 * [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 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 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 y 0.309 * [taylor]: Taking taylor expansion of 3 in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 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 y 0.309 * [taylor]: Taking taylor expansion of 3 in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [taylor]: Taking taylor expansion of 3 in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.315 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.315 * [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 0.316 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.317 * [taylor]: Taking taylor expansion of x in y 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 3 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [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 0.324 * [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 0.329 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.329 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.329 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of 3 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [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 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [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 0.332 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.343 * * * [progress]: simplifying candidates 0.343 * [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))) 0.346 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.348 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.351 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.357 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.397 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.398 * [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)) 0.399 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 2 / 4 0.426 * * * [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) 0.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.451 * * * [progress]: generating series expansions 0.452 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.452 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.452 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of 3 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of 3 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.460 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of 3 in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 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 0.468 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.468 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of 3 in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [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 0.479 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.480 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of 3 in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of 3 in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of 3 in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [taylor]: Taking taylor expansion of 3 in x 0.483 * [taylor]: Taking taylor expansion of 0 in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 3 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of 3 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 3 in x 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of 3 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 3 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 3 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 3 in x 0.503 * [taylor]: Taking taylor expansion of 0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.510 * [taylor]: Taking taylor expansion of 0 in x 0.512 * * * [progress]: simplifying candidates 0.512 * [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))) 0.516 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.520 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.533 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.589 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.591 * [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)) 0.591 * * * [progress]: adding candidates to table 0.651 * * [progress]: iteration 3 / 4 0.651 * * * [progress]: picking best candidate 0.658 * * * * [pick]: Picked # 0.658 * * * [progress]: localizing error 0.663 * * * [progress]: generating rewritten candidates 0.663 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.673 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.680 * * * [progress]: generating series expansions 0.680 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.680 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.680 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of 3 in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of 3 in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.688 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.688 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of 3 in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of 3 in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.696 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.696 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of 3 in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of 3 in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.704 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.704 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of 3 in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of 0 in x 0.706 * [taylor]: Taking taylor expansion of 3 in x 0.708 * [taylor]: Taking taylor expansion of 0 in x 0.710 * [taylor]: Taking taylor expansion of 0 in x 0.710 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.711 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.711 * [taylor]: Taking taylor expansion of 3 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of 3 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.712 * [taylor]: Taking taylor expansion of 3 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 3 in x 0.714 * [taylor]: Taking taylor expansion of 0 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.723 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.723 * [taylor]: Taking taylor expansion of 3 in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.724 * [taylor]: Taking taylor expansion of 3 in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.725 * [taylor]: Taking taylor expansion of 3 in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of 3 in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 0 in x 0.734 * [taylor]: Taking taylor expansion of 0 in x 0.735 * * * [progress]: simplifying candidates 0.736 * [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))) 0.740 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.744 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.765 * * [simplify]: iteration 2 : 4389 enodes (cost 147 ) 0.858 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.859 * [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)) 0.859 * * * [progress]: adding candidates to table 0.925 * * [progress]: iteration 4 / 4 0.925 * * * [progress]: picking best candidate 0.930 * * * * [pick]: Picked # 0.930 * * * [progress]: localizing error 0.939 * * * [progress]: generating rewritten candidates 0.939 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.947 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.976 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.008 * * * [progress]: generating series expansions 1.008 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.009 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.009 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.009 * [taylor]: Taking taylor expansion of 3 in y 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.010 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.010 * [taylor]: Taking taylor expansion of 3 in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.024 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.025 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.025 * [taylor]: Taking taylor expansion of 3 in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.026 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.026 * [taylor]: Taking taylor expansion of 3 in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.039 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.039 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.039 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.041 * [taylor]: Taking taylor expansion of 3 in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.054 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.055 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.055 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.055 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.055 * [taylor]: Taking taylor expansion of 3 in y 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.055 * [taylor]: Taking taylor expansion of (cbrt 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 1.087 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.087 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.087 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.087 * [taylor]: Taking taylor expansion of 3 in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.091 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.091 * [taylor]: Taking taylor expansion of 3 in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.115 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.115 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.115 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.115 * [taylor]: Taking taylor expansion of 3 in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.119 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.119 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.119 * [taylor]: Taking taylor expansion of 3 in y 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.142 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.143 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.143 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.143 * [taylor]: Taking taylor expansion of 3 in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.144 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.144 * [taylor]: Taking taylor expansion of 3 in y 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.145 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.145 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.145 * [taylor]: Taking taylor expansion of 3 in y 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of 0 in x 1.156 * [taylor]: Taking taylor expansion of 3 in x 1.158 * [taylor]: Taking taylor expansion of 0 in x 1.163 * [taylor]: Taking taylor expansion of 0 in x 1.164 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.164 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.164 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.164 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.164 * [taylor]: Taking taylor expansion of 3 in x 1.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.165 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.168 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.168 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.168 * [taylor]: Taking taylor expansion of 3 in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.172 * [taylor]: Taking taylor expansion of x in y 1.172 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.172 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.172 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.172 * [taylor]: Taking taylor expansion of 3 in y 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.176 * [taylor]: Taking taylor expansion of x in y 1.176 * [taylor]: Taking taylor expansion of 3 in x 1.178 * [taylor]: Taking taylor expansion of 0 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of 0 in x 1.191 * [taylor]: Taking taylor expansion of 0 in x 1.193 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.193 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.193 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.193 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.193 * [taylor]: Taking taylor expansion of 3 in x 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.194 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.197 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.197 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.197 * [taylor]: Taking taylor expansion of 3 in y 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.201 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.201 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.201 * [taylor]: Taking taylor expansion of 3 in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.205 * [taylor]: Taking taylor expansion of x in y 1.205 * [taylor]: Taking taylor expansion of 3 in x 1.207 * [taylor]: Taking taylor expansion of 0 in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of 0 in x 1.219 * [taylor]: Taking taylor expansion of 0 in x 1.220 * * * [progress]: simplifying candidates 1.221 * [simplify]: Simplifying using # : (expm1 (* (cbrt 3) (* y y))) (log1p (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (expm1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (log1p (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (expm1 (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log1p (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 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))) 1.226 * * [simplify]: iteration 0 : 274 enodes (cost 595 ) 1.232 * * [simplify]: iteration 1 : 1133 enodes (cost 461 ) 1.258 * * [simplify]: iteration 2 : 5001 enodes (cost 387 ) 1.261 * [simplify]: Simplified to: (expm1 (* (cbrt 3) (* y y))) (log1p (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (expm1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (log1p (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (fma 3 (log (cbrt 3)) (log (* y y))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (expm1 (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log1p (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (fma (* (pow (cbrt 3) 3) y) y (pow x 2)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (fma (pow (pow (cbrt 3) 3) 3) (pow (pow y 2) 3) (pow x 6)) (+ (* (- 3) (* (pow y 2) (pow x 2))) (fma (pow (* (cbrt 3) (cbrt 3)) 3) (pow y 4) (pow x 4))) (fma (pow (* (cbrt 3) (cbrt 3)) 3) (pow y 4) (* (- (pow x 3)) x)) (fma (* (pow (cbrt 3) 3) y) y (- (* x x))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) 1.261 * * * [progress]: adding candidates to table 1.399 * [progress]: [Phase 3 of 3] Extracting. 1.399 * * [regime]: Finding splitpoints for: (# # # # #) 1.400 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.400 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.418 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.434 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.451 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.470 * * * [regime]: Found split indices: #