26.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* 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)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* 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)) 0.094 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.097 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.115 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.200 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.201 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 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 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (pow y 2))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.202 * * * [progress]: adding candidates to table 0.286 * * [progress]: iteration 2 / 4 0.286 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.323 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.329 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of x 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 0 in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of -1 in y 0.354 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of -1 in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.375 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.375 * [taylor]: Taking taylor expansion of 1.0 in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.375 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.375 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.390 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 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 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.415 * [taylor]: Taking taylor expansion of 1.0 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.416 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.443 * * * [progress]: simplifying candidates 0.444 * [simplify]: Simplifying using # : (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.447 * * [simplify]: iteration 0 : 177 enodes (cost 177 ) 0.451 * * [simplify]: iteration 1 : 681 enodes (cost 146 ) 0.466 * * [simplify]: iteration 2 : 2809 enodes (cost 143 ) 0.522 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.523 * [simplify]: Simplified to: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* (* x 1.0) x) (- 1.0 (pow y 2)) (* x (* x (pow y 4)))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (fma y y 1.0) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.523 * * * [progress]: adding candidates to table 0.591 * * [progress]: iteration 3 / 4 0.591 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.604 * * * [progress]: generating rewritten candidates 0.604 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.611 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.614 * * * [progress]: generating series expansions 0.614 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.614 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.614 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.618 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of -1 in y 0.630 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of -1 in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.643 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.643 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.643 * [taylor]: Taking taylor expansion of 1.0 in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.643 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.643 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 1.0 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.650 * [taylor]: Taking taylor expansion of 1.0 in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.651 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.678 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.678 * [taylor]: Taking taylor expansion of 1.0 in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.679 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of 1.0 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.706 * * * [progress]: simplifying candidates 0.707 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.710 * * [simplify]: iteration 0 : 184 enodes (cost 173 ) 0.715 * * [simplify]: iteration 1 : 862 enodes (cost 149 ) 0.738 * * [simplify]: iteration 2 : 4478 enodes (cost 140 ) 0.835 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 0.836 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (fma x (pow y 2) (* 1.0 x)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* x x) (pow y 4) (* (* x 1.0) (* x (- 1.0 (pow y 2))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.836 * * * [progress]: adding candidates to table 0.906 * * [progress]: iteration 4 / 4 0.906 * * * [progress]: picking best candidate 0.918 * * * * [pick]: Picked # 0.918 * * * [progress]: localizing error 0.928 * * * [progress]: generating rewritten candidates 0.928 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.928 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.937 * * * [progress]: generating series expansions 0.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.937 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.937 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.937 * [taylor]: Taking taylor expansion of 1/3 in y 0.937 * [taylor]: Taking taylor expansion of (log y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.938 * [taylor]: Taking taylor expansion of 1/3 in y 0.938 * [taylor]: Taking taylor expansion of (log y) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.992 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.992 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.992 * [taylor]: Taking taylor expansion of 1/3 in y 0.992 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.993 * [taylor]: Taking taylor expansion of 1/3 in y 0.993 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.993 * [taylor]: Taking taylor expansion of y in y 1.047 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.047 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.047 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.047 * [taylor]: Taking taylor expansion of -1 in y 1.048 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.048 * [taylor]: Taking taylor expansion of 1/3 in y 1.048 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.049 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.049 * [taylor]: Taking taylor expansion of -1 in y 1.050 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.050 * [taylor]: Taking taylor expansion of 1/3 in y 1.050 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.117 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 1.117 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.117 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.117 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.117 * [taylor]: Taking taylor expansion of 1/3 in y 1.117 * [taylor]: Taking taylor expansion of (log y) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.118 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.118 * [taylor]: Taking taylor expansion of 1/3 in y 1.118 * [taylor]: Taking taylor expansion of (log y) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.170 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.170 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.170 * [taylor]: Taking taylor expansion of 1/3 in y 1.170 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.171 * [taylor]: Taking taylor expansion of 1/3 in y 1.171 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.226 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.226 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.226 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.226 * [taylor]: Taking taylor expansion of -1 in y 1.227 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.227 * [taylor]: Taking taylor expansion of 1/3 in y 1.227 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.228 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.228 * [taylor]: Taking taylor expansion of -1 in y 1.228 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.228 * [taylor]: Taking taylor expansion of 1/3 in y 1.228 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.296 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.296 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.296 * [taylor]: Taking taylor expansion of 1/3 in y 1.296 * [taylor]: Taking taylor expansion of (log y) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.297 * [taylor]: Taking taylor expansion of 1/3 in y 1.297 * [taylor]: Taking taylor expansion of (log y) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.345 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.345 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.345 * [taylor]: Taking taylor expansion of 1/3 in y 1.345 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.346 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.346 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.400 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.400 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.400 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.400 * [taylor]: Taking taylor expansion of -1 in y 1.400 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.401 * [taylor]: Taking taylor expansion of 1/3 in y 1.401 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.401 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.401 * [taylor]: Taking taylor expansion of -1 in y 1.402 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.402 * [taylor]: Taking taylor expansion of 1/3 in y 1.402 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.468 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.468 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.468 * [taylor]: Taking taylor expansion of 1/3 in y 1.468 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.469 * [taylor]: Taking taylor expansion of 1/3 in y 1.469 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.524 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.524 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.524 * [taylor]: Taking taylor expansion of 1/3 in y 1.524 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.525 * [taylor]: Taking taylor expansion of 1/3 in y 1.525 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.583 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.583 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.583 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.583 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.584 * [taylor]: Taking taylor expansion of -1 in y 1.584 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.584 * [taylor]: Taking taylor expansion of 1/3 in y 1.584 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.585 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.586 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.586 * [taylor]: Taking taylor expansion of -1 in y 1.586 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.586 * [taylor]: Taking taylor expansion of 1/3 in y 1.586 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.663 * * * [progress]: simplifying candidates 1.664 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.668 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.672 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.686 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.751 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.753 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.754 * * * [progress]: adding candidates to table 1.988 * [progress]: [Phase 3 of 3] Extracting. 1.988 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.990 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 1.990 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # #) 2.016 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.033 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # # # # #) 2.057 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 2.069 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 2.096 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.128 * * * [regime]: Found split indices: #