8.550 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* 1.0 x) (* (* y y) x) (* (* y y) x) (* 1.0 x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* x 1) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.103 * * [simplify]: iteration 0 : 140 enodes (cost 121 ) 0.108 * * [simplify]: iteration 1 : 687 enodes (cost 107 ) 0.124 * * [simplify]: iteration 2 : 3153 enodes (cost 106 ) 0.186 * * [simplify]: iteration 3 : 5003 enodes (cost 106 ) 0.188 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x x x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.188 * * * [progress]: adding candidates to table 0.219 * * [progress]: iteration 2 / 4 0.219 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.238 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.244 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.275 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 1.0 in y 0.309 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.334 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.334 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.334 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.337 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 1.0 in y 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 1.0 in y 0.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 1.0 in y 0.417 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.417 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 1.0 in y 0.417 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 1.0 in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of 1.0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.457 * [taylor]: Taking taylor expansion of -1 in y 0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 1.0 in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.461 * [taylor]: Taking taylor expansion of -1 in y 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 1.0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * * * [progress]: simplifying candidates 0.491 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.498 * * [simplify]: iteration 0 : 295 enodes (cost 781 ) 0.505 * * [simplify]: iteration 1 : 1051 enodes (cost 664 ) 0.531 * * [simplify]: iteration 2 : 5001 enodes (cost 636 ) 0.538 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (+ 1.0 (* y y)) (+ 1.0 (* y y)) (+ 1.0 (* y y)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (+ 1.0 (* y y)) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.539 * * * [progress]: adding candidates to table 0.685 * * [progress]: iteration 3 / 4 0.685 * * * [progress]: picking best candidate 0.700 * * * * [pick]: Picked # 0.700 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.744 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.779 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.792 * * * [progress]: generating series expansions 0.793 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.793 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 1.0 in y 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.798 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of 1.0 in y 0.812 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 1.0 in y 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 1.0 in y 0.827 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 1.0 in y 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of 1.0 in y 0.841 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.841 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.841 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.843 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 1.0 in y 0.857 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 1.0 in y 0.872 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 1.0 in y 0.889 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.890 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.890 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 1.0 in y 0.890 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 1.0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of 1.0 in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.921 * [taylor]: Taking taylor expansion of -1 in y 0.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.924 * [taylor]: Taking taylor expansion of -1 in x 0.924 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.925 * [taylor]: Taking taylor expansion of -1 in y 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 1.0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.960 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.961 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/4) 3) in (y) around 0 0.961 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/4) 3) in y 0.961 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 0.961 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 0.961 * [taylor]: Taking taylor expansion of 1/4 in y 0.961 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.961 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 1.0 in y 0.963 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/4) 3) in y 0.963 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 0.963 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 0.963 * [taylor]: Taking taylor expansion of 1/4 in y 0.963 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 1.101 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in (y) around 0 1.101 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in y 1.101 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.101 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.101 * [taylor]: Taking taylor expansion of 1/4 in y 1.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of 1.0 in y 1.103 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in y 1.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.103 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.103 * [taylor]: Taking taylor expansion of 1/4 in y 1.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of 1.0 in y 1.182 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in (y) around 0 1.182 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in y 1.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.182 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.182 * [taylor]: Taking taylor expansion of 1/4 in y 1.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of 1.0 in y 1.185 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) 3) in y 1.185 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.185 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.185 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.185 * [taylor]: Taking taylor expansion of 1/4 in y 1.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of 1.0 in y 1.265 * * * [progress]: simplifying candidates 1.268 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (* (log (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (* (log (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (log (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (log (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt 1)) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt 1)) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt 1)) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt 1) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow 1 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2))) (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (cbrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (sqrt x) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (cbrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* 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y)))) 3)) (* (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (/ 3 2) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) (/ 3 2)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (- (+ (* 0.75 (* (* (sqrt 1.0) (pow y 2)) (pow 1.0 1/4))) (+ (* (sqrt 1.0) (pow 1.0 1/4)) (* 0.28125 (* (* (sqrt 1.0) (pow y 4)) (pow 1.0 1/4))))) (* 3/8 (* (* (sqrt 1.0) (pow y 4)) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.75 (sqrt (/ 1 y))) (sqrt (pow y 3))) (* 0.09375 (sqrt (/ 1 (pow y 5))))) (- (+ (* 0.75 (/ (sqrt (* -1 (pow y 3))) (pow y 2))) (sqrt (* -1 (pow y 3)))) (* 0.09375 (/ (sqrt (* -1 (pow y 3))) (pow y 4)))) 1.278 * * [simplify]: iteration 0 : 535 enodes (cost 1721 ) 1.291 * * [simplify]: iteration 1 : 2547 enodes (cost 1426 ) 1.353 * * [simplify]: iteration 2 : 5001 enodes (cost 1381 ) 1.361 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (pow (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) 4) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y 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(pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) 1 (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) 1 (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) 1 (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) 1 (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) 1 (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (sqrt (+ 1.0 (* y y))) (log (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (exp (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (sqrt (+ 1.0 (* y y))) (sqrt (sqrt (+ 1.0 (* y y)))) (pow (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) 3) 3/2 (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (sqrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3/2) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) (+ (* (pow 1.0 1/4) (+ (* 0.75 (* (sqrt 1.0) (pow y 2))) (sqrt 1.0))) (- (* 0.28125 (* (* (sqrt 1.0) (pow y 4)) (pow 1.0 1/4))) (* 3/8 (* (* (sqrt 1.0) (pow y 4)) (pow (/ 1 (pow 1.0 7)) 1/4))))) (- (+ (* 0.75 (sqrt (/ 1 y))) (sqrt (pow y 3))) (* 0.09375 (sqrt (/ 1 (pow y 5))))) (- (+ (* 0.75 (/ (sqrt (* -1 (pow y 3))) (pow y 2))) (sqrt (* -1 (pow y 3)))) (* 0.09375 (/ (sqrt (* -1 (pow y 3))) (pow y 4)))) 1.362 * * * [progress]: adding candidates to table 1.664 * * [progress]: iteration 4 / 4 1.664 * * * [progress]: picking best candidate 1.670 * * * * [pick]: Picked # 1.670 * * * [progress]: localizing error 1.687 * * * [progress]: generating rewritten candidates 1.687 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.693 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.721 * * * [progress]: generating series expansions 1.721 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.722 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.722 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [taylor]: Taking taylor expansion of 1.0 in y 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.723 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of 1.0 in y 1.738 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.738 * [taylor]: Taking taylor expansion of y in y 1.738 * [taylor]: Taking taylor expansion of 1.0 in y 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.740 * [taylor]: Taking taylor expansion of y in y 1.741 * [taylor]: Taking taylor expansion of 1.0 in y 1.752 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.753 * [taylor]: Taking taylor expansion of 1.0 in y 1.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.755 * [taylor]: Taking taylor expansion of y in y 1.755 * [taylor]: Taking taylor expansion of 1.0 in y 1.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.767 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.767 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.767 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.767 * [taylor]: Taking taylor expansion of 1.0 in y 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.769 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.769 * [taylor]: Taking taylor expansion of y in y 1.769 * [taylor]: Taking taylor expansion of 1.0 in y 1.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.782 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of 1.0 in y 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.791 * [taylor]: Taking taylor expansion of y in y 1.792 * [taylor]: Taking taylor expansion of 1.0 in y 1.803 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.803 * [taylor]: Taking taylor expansion of y in y 1.804 * [taylor]: Taking taylor expansion of 1.0 in y 1.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.806 * [taylor]: Taking taylor expansion of y in y 1.806 * [taylor]: Taking taylor expansion of 1.0 in y 1.817 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.817 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.818 * [taylor]: Taking taylor expansion of 1.0 in y 1.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.819 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.819 * [taylor]: Taking taylor expansion of y in y 1.819 * [taylor]: Taking taylor expansion of 1.0 in y 1.834 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.834 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of 1.0 in y 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.839 * [taylor]: Taking taylor expansion of 1.0 in y 1.856 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of 1.0 in y 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.860 * [taylor]: Taking taylor expansion of y in y 1.861 * [taylor]: Taking taylor expansion of 1.0 in y 1.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.881 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/8) 3) in (y) around 0 1.881 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/8) 3) in y 1.881 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/8) in y 1.881 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow y 2) 1.0)))) in y 1.881 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow y 2) 1.0))) in y 1.881 * [taylor]: Taking taylor expansion of 1/8 in y 1.881 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.881 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.882 * [taylor]: Taking taylor expansion of 1.0 in y 1.886 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 1/8) 3) in y 1.886 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/8) in y 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow y 2) 1.0)))) in y 1.886 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow y 2) 1.0))) in y 1.886 * [taylor]: Taking taylor expansion of 1/8 in y 1.886 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.886 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.886 * [taylor]: Taking taylor expansion of 1.0 in y 2.041 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in (y) around 0 2.041 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in y 2.041 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) in y 2.041 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.041 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.041 * [taylor]: Taking taylor expansion of 1/8 in y 2.041 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.041 * [taylor]: Taking taylor expansion of y in y 2.042 * [taylor]: Taking taylor expansion of 1.0 in y 2.043 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in y 2.043 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) in y 2.043 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.043 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.043 * [taylor]: Taking taylor expansion of 1/8 in y 2.043 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.044 * [taylor]: Taking taylor expansion of 1.0 in y 2.103 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in (y) around 0 2.103 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in y 2.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) in y 2.103 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.103 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.103 * [taylor]: Taking taylor expansion of 1/8 in y 2.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.103 * [taylor]: Taking taylor expansion of y in y 2.104 * [taylor]: Taking taylor expansion of 1.0 in y 2.105 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) 3) in y 2.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/8) in y 2.105 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.105 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.105 * [taylor]: Taking taylor expansion of 1/8 in y 2.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.105 * [taylor]: Taking taylor expansion of y in y 2.106 * [taylor]: Taking taylor expansion of 1.0 in y 2.158 * * * [progress]: simplifying candidates 2.166 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (log (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (* (log (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (sqrt (sqrt (sqrt (+ 1.0 (* y y))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (log (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (/ 3 2)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (pow (pow 1.0 3) 1/8) (+ (* 0.375 (* (pow y 2) (pow (pow 1.0 3) 1/8))) (* 0.0703125 (* (pow y 4) (pow (pow 1.0 3) 1/8))))) (* 3/16 (* (pow y 4) (pow (/ 1 (pow 1.0 13)) 1/8)))) (- (+ (pow (pow y 3) 1/4) (* 0.375 (pow (/ 1 (pow y 5)) 1/4))) (* 0.1171875 (pow (/ 1 (pow y 13)) 1/4))) (- (+ (* 0.375 (pow (/ -1 (pow y 5)) 1/4)) (pow (* -1 (pow y 3)) 1/4)) (* 0.1171875 (pow (/ -1 (pow y 13)) 1/4))) 2.174 * * [simplify]: iteration 0 : 380 enodes (cost 668 ) 2.182 * * [simplify]: iteration 1 : 1335 enodes (cost 611 ) 2.214 * * [simplify]: iteration 2 : 5002 enodes (cost 597 ) 2.218 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (log (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) 3/2 3 3/4 3/2 3/8 3/4 3/8 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 3)) (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (pow (fabs (cbrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) 1 (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) (sqrt (sqrt (+ 1.0 (* y y)))) (log (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) (pow (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3) 3) 3/2 (sqrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3)) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (pow (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) 3/2) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (+ (* (pow (pow 1.0 3) 1/8) (+ (* 0.0703125 (pow y 4)) (* 0.375 (pow y 2)))) (- (pow (pow 1.0 3) 1/8) (* 3/16 (* (pow y 4) (pow (/ 1 (pow 1.0 13)) 1/8))))) (- (+ (pow (pow y 3) 1/4) (* 0.375 (pow (/ 1 (pow y 5)) 1/4))) (* 0.1171875 (pow (/ 1 (pow y 13)) 1/4))) (- (+ (* 0.375 (pow (/ -1 (pow y 5)) 1/4)) (pow (* -1 (pow y 3)) 1/4)) (* 0.1171875 (pow (/ -1 (pow y 13)) 1/4))) 2.219 * * * [progress]: adding candidates to table 2.488 * [progress]: [Phase 3 of 3] Extracting. 2.488 * * [regime]: Finding splitpoints for: (# # # # # #) 2.489 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.489 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.509 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 2.528 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 2.554 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.578 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.600 * * * [regime]: Found split indices: #