21.392 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ x (* (- 1.0 x) (- 1.0 y))) 0.023 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.024 * * [simplify]: iteration 1 : 13 enodes (cost 9 ) 0.026 * * [simplify]: iteration 2 : 29 enodes (cost 8 ) 0.031 * * [simplify]: iteration 3 : 75 enodes (cost 8 ) 0.043 * * [simplify]: iteration 4 : 205 enodes (cost 8 ) 0.087 * * [simplify]: iteration 5 : 514 enodes (cost 8 ) 0.203 * * [simplify]: iteration 6 : 1110 enodes (cost 8 ) 0.496 * * [simplify]: iteration 7 : 2183 enodes (cost 8 ) 1.245 * * [simplify]: iteration 8 : 3789 enodes (cost 8 ) 3.251 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 3.251 * [simplify]: Simplified to: (fma (- 1.0 y) (- 1.0 x) x) 3.254 * * [progress]: iteration 1 / 4 3.254 * * * [progress]: picking best candidate 3.257 * * * * [pick]: Picked # 3.257 * * * [progress]: localizing error 3.263 * * * [progress]: generating rewritten candidates 3.263 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.269 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.295 * * * [progress]: generating series expansions 3.295 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.295 * [approximate]: Taking taylor expansion of (- (+ (* x y) 1.0) (* 1.0 y)) in (x y) around 0 3.295 * [taylor]: Taking taylor expansion of (- (+ (* x y) 1.0) (* 1.0 y)) in y 3.295 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in y 3.295 * [taylor]: Taking taylor expansion of (* x y) in y 3.295 * [taylor]: Taking taylor expansion of x in y 3.295 * [taylor]: Taking taylor expansion of y in y 3.295 * [taylor]: Taking taylor expansion of 1.0 in y 3.295 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 3.295 * [taylor]: Taking taylor expansion of 1.0 in y 3.295 * [taylor]: Taking taylor expansion of y in y 3.295 * [taylor]: Taking taylor expansion of (- (+ (* x y) 1.0) (* 1.0 y)) in x 3.295 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 3.295 * [taylor]: Taking taylor expansion of (* x y) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of y in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of y in x 3.296 * [taylor]: Taking taylor expansion of (- (+ (* x y) 1.0) (* 1.0 y)) in x 3.296 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 3.296 * [taylor]: Taking taylor expansion of (* x y) in x 3.296 * [taylor]: Taking taylor expansion of x in x 3.296 * [taylor]: Taking taylor expansion of y in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [taylor]: Taking taylor expansion of y in x 3.296 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 3.297 * [taylor]: Taking taylor expansion of 1.0 in y 3.297 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 3.297 * [taylor]: Taking taylor expansion of 1.0 in y 3.297 * [taylor]: Taking taylor expansion of y in y 3.298 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of 0 in y 3.303 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 3.303 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 3.303 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* x y))) in y 3.303 * [taylor]: Taking taylor expansion of 1.0 in y 3.303 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.303 * [taylor]: Taking taylor expansion of (* x y) in y 3.303 * [taylor]: Taking taylor expansion of x in y 3.303 * [taylor]: Taking taylor expansion of y in y 3.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.304 * [taylor]: Taking taylor expansion of 1.0 in y 3.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.304 * [taylor]: Taking taylor expansion of y in y 3.304 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 3.304 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* x y))) in x 3.304 * [taylor]: Taking taylor expansion of 1.0 in x 3.304 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.304 * [taylor]: Taking taylor expansion of (* x y) in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.304 * [taylor]: Taking taylor expansion of y in x 3.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 3.304 * [taylor]: Taking taylor expansion of 1.0 in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.305 * [taylor]: Taking taylor expansion of y in x 3.305 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 3.305 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* x y))) in x 3.305 * [taylor]: Taking taylor expansion of 1.0 in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.305 * [taylor]: Taking taylor expansion of (* x y) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [taylor]: Taking taylor expansion of y in x 3.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 3.305 * [taylor]: Taking taylor expansion of 1.0 in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.305 * [taylor]: Taking taylor expansion of y in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.305 * [taylor]: Taking taylor expansion of y in y 3.307 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 3.307 * [taylor]: Taking taylor expansion of 1.0 in y 3.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.307 * [taylor]: Taking taylor expansion of 1.0 in y 3.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.307 * [taylor]: Taking taylor expansion of y in y 3.311 * [taylor]: Taking taylor expansion of 0 in y 3.313 * [approximate]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (* x y)) (* 1.0 (/ 1 y)))) in (x y) around 0 3.313 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (* x y)) (* 1.0 (/ 1 y)))) in y 3.313 * [taylor]: Taking taylor expansion of 1.0 in y 3.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 y))) in y 3.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.313 * [taylor]: Taking taylor expansion of (* x y) in y 3.313 * [taylor]: Taking taylor expansion of x in y 3.313 * [taylor]: Taking taylor expansion of y in y 3.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.313 * [taylor]: Taking taylor expansion of 1.0 in y 3.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.314 * [taylor]: Taking taylor expansion of y in y 3.314 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (* x y)) (* 1.0 (/ 1 y)))) in x 3.314 * [taylor]: Taking taylor expansion of 1.0 in x 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 y))) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.314 * [taylor]: Taking taylor expansion of (* x y) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [taylor]: Taking taylor expansion of y in x 3.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 3.314 * [taylor]: Taking taylor expansion of 1.0 in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.314 * [taylor]: Taking taylor expansion of y in x 3.314 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (* x y)) (* 1.0 (/ 1 y)))) in x 3.314 * [taylor]: Taking taylor expansion of 1.0 in x 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 y))) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.315 * [taylor]: Taking taylor expansion of (* x y) in x 3.315 * [taylor]: Taking taylor expansion of x in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 3.315 * [taylor]: Taking taylor expansion of 1.0 in x 3.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.315 * [taylor]: Taking taylor expansion of y in y 3.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) 1.0) in y 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.316 * [taylor]: Taking taylor expansion of 1.0 in y 3.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.316 * [taylor]: Taking taylor expansion of y in y 3.317 * [taylor]: Taking taylor expansion of 1.0 in y 3.319 * [taylor]: Taking taylor expansion of 0 in y 3.321 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.321 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (- 1.0 x)) in (x y) around 0 3.321 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (- 1.0 x)) in y 3.321 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 3.321 * [taylor]: Taking taylor expansion of 1.0 in y 3.321 * [taylor]: Taking taylor expansion of y in y 3.321 * [taylor]: Taking taylor expansion of (- 1.0 x) in y 3.321 * [taylor]: Taking taylor expansion of 1.0 in y 3.321 * [taylor]: Taking taylor expansion of x in y 3.321 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (- 1.0 x)) in x 3.321 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [taylor]: Taking taylor expansion of y in x 3.321 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (- 1.0 x)) in x 3.322 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 3.322 * [taylor]: Taking taylor expansion of 1.0 in x 3.322 * [taylor]: Taking taylor expansion of y in x 3.322 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.322 * [taylor]: Taking taylor expansion of 1.0 in x 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [taylor]: Taking taylor expansion of (* 1.0 (- 1.0 y)) in y 3.323 * [taylor]: Taking taylor expansion of 1.0 in y 3.323 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 3.323 * [taylor]: Taking taylor expansion of 1.0 in y 3.323 * [taylor]: Taking taylor expansion of y in y 3.325 * [taylor]: Taking taylor expansion of (- y 1.0) in y 3.325 * [taylor]: Taking taylor expansion of y in y 3.325 * [taylor]: Taking taylor expansion of 1.0 in y 3.333 * [approximate]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (- 1.0 (/ 1 y))) in (x y) around 0 3.333 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (- 1.0 (/ 1 y))) in y 3.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 3.333 * [taylor]: Taking taylor expansion of 1.0 in y 3.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.333 * [taylor]: Taking taylor expansion of x in y 3.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.333 * [taylor]: Taking taylor expansion of 1.0 in y 3.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.333 * [taylor]: Taking taylor expansion of y in y 3.333 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (- 1.0 (/ 1 y))) in x 3.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.334 * [taylor]: Taking taylor expansion of 1.0 in x 3.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.334 * [taylor]: Taking taylor expansion of x in x 3.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 3.334 * [taylor]: Taking taylor expansion of 1.0 in x 3.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.334 * [taylor]: Taking taylor expansion of y in x 3.334 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (- 1.0 (/ 1 y))) in x 3.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.334 * [taylor]: Taking taylor expansion of 1.0 in x 3.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.334 * [taylor]: Taking taylor expansion of x in x 3.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 3.334 * [taylor]: Taking taylor expansion of 1.0 in x 3.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.334 * [taylor]: Taking taylor expansion of y in x 3.335 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 y))) in y 3.335 * [taylor]: Taking taylor expansion of -1 in y 3.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.335 * [taylor]: Taking taylor expansion of 1.0 in y 3.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.335 * [taylor]: Taking taylor expansion of y in y 3.338 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 3.338 * [taylor]: Taking taylor expansion of 1.0 in y 3.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.338 * [taylor]: Taking taylor expansion of 1.0 in y 3.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.338 * [taylor]: Taking taylor expansion of y in y 3.343 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (+ (/ 1 y) 1.0)) in (x y) around 0 3.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (+ (/ 1 y) 1.0)) in y 3.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in y 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.343 * [taylor]: Taking taylor expansion of x in y 3.343 * [taylor]: Taking taylor expansion of 1.0 in y 3.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.343 * [taylor]: Taking taylor expansion of y in y 3.344 * [taylor]: Taking taylor expansion of 1.0 in y 3.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (+ (/ 1 y) 1.0)) in x 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.344 * [taylor]: Taking taylor expansion of x in x 3.344 * [taylor]: Taking taylor expansion of 1.0 in x 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.344 * [taylor]: Taking taylor expansion of y in x 3.344 * [taylor]: Taking taylor expansion of 1.0 in x 3.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (+ (/ 1 y) 1.0)) in x 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.344 * [taylor]: Taking taylor expansion of x in x 3.344 * [taylor]: Taking taylor expansion of 1.0 in x 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.344 * [taylor]: Taking taylor expansion of y in x 3.345 * [taylor]: Taking taylor expansion of 1.0 in x 3.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.345 * [taylor]: Taking taylor expansion of 1.0 in y 3.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) 1.0) in y 3.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 3.347 * [taylor]: Taking taylor expansion of 1.0 in y 3.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.347 * [taylor]: Taking taylor expansion of y in y 3.347 * [taylor]: Taking taylor expansion of 1.0 in y 3.349 * * * [progress]: simplifying candidates 3.351 * [simplify]: Simplifying using # : (expm1 (+ x (* (- 1.0 x) (- 1.0 y)))) (log1p (+ x (* (- 1.0 x) (- 1.0 y)))) (* (exp x) (exp (* (- 1.0 x) (- 1.0 y)))) (log (+ x (* (- 1.0 x) (- 1.0 y)))) (exp (+ x (* (- 1.0 x) (- 1.0 y)))) (* (cbrt (+ x (* (- 1.0 x) (- 1.0 y)))) (cbrt (+ x (* (- 1.0 x) (- 1.0 y))))) (cbrt (+ x (* (- 1.0 x) (- 1.0 y)))) (* (* (+ x (* (- 1.0 x) (- 1.0 y))) (+ x (* (- 1.0 x) (- 1.0 y)))) (+ x (* (- 1.0 x) (- 1.0 y)))) (sqrt (+ x (* (- 1.0 x) (- 1.0 y)))) (sqrt (+ x (* (- 1.0 x) (- 1.0 y)))) (+ (pow x 3) (pow (* (- 1.0 x) (- 1.0 y)) 3)) (+ (* x x) (- (* (* (- 1.0 x) (- 1.0 y)) (* (- 1.0 x) (- 1.0 y))) (* x (* (- 1.0 x) (- 1.0 y))))) (- (* x x) (* (* (- 1.0 x) (- 1.0 y)) (* (- 1.0 x) (- 1.0 y)))) (- x (* (- 1.0 x) (- 1.0 y))) (+ x (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (+ x (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))))) (+ x (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))))) (+ x (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (+ x (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))))) (+ x (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))))) (+ x (* (- 1.0 x) (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (+ x (* (- 1.0 x) (fma 1 1.0 (- (* (sqrt y) (sqrt y)))))) (+ x (* (- 1.0 x) (fma 1 1.0 (- (* y 1))))) (+ x (* (- 1.0 x) 1.0)) (+ x (* (- 1.0 x) 1.0)) (+ x (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x))) (+ x (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) (- 1.0 x))) (+ x (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) (- 1.0 x))) (+ x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x))) (+ x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) (- 1.0 x))) (+ x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) (- 1.0 x))) (+ x (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x))) (+ x (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) (- 1.0 x))) (+ x (* (fma 1 1.0 (- (* y 1))) (- 1.0 x))) (+ x (* 1.0 (- 1.0 x))) (+ x (* 1.0 (- 1.0 x))) (expm1 (* (- 1.0 x) (- 1.0 y))) (log1p (* (- 1.0 x) (- 1.0 y))) (* (- 1.0 x) (- 1.0 y)) (+ (log (- 1.0 x)) (log (- 1.0 y))) (log (* (- 1.0 x) (- 1.0 y))) (exp (* (- 1.0 x) (- 1.0 y))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* (- 1.0 x) (- 1.0 y))) (cbrt (* (- 1.0 x) (- 1.0 y)))) (cbrt (* (- 1.0 x) (- 1.0 y))) (* (* (* (- 1.0 x) (- 1.0 y)) (* (- 1.0 x) (- 1.0 y))) (* (- 1.0 x) (- 1.0 y))) (sqrt (* (- 1.0 x) (- 1.0 y))) (sqrt (* (- 1.0 x) (- 1.0 y))) (* (- (pow 1.0 3) (pow x 3)) (- (pow 1.0 3) (pow y 3))) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* y y))) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (+ 1.0 y)) (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow y 3))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 x) (+ 1.0 y)) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 y))) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 y))) (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (- 1.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (- 1.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* (- 1.0 x) (fma (- y) 1 (* y 1))) (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (- 1.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (- 1.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (- 1.0 x) (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* (- 1.0 x) (fma (- y) 1 (* y 1))) (* (- 1.0 x) (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (- 1.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (- 1.0 x) (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* (- 1.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (- 1.0 x) (fma 1 1.0 (- (* y 1)))) (* (- 1.0 x) (fma (- y) 1 (* y 1))) (* (- 1.0 x) 1.0) (* (- 1.0 x) (- y)) (* (- 1.0 x) 1.0) (* (- 1.0 x) (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (- 1.0 x)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) (- 1.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (- 1.0 x)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) (- 1.0 x)) (* (fma (- y) 1 (* y 1)) (- 1.0 x)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (- 1.0 x)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) (- 1.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (- 1.0 x)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) (- 1.0 x)) (* (fma (- y) 1 (* y 1)) (- 1.0 x)) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (- 1.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (- 1.0 x)) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) (- 1.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (- 1.0 x)) (* (fma 1 1.0 (- (* y 1))) (- 1.0 x)) (* (fma (- y) 1 (* y 1)) (- 1.0 x)) (* 1.0 (- 1.0 x)) (* (- y) (- 1.0 x)) (* 1.0 (- 1.0 x)) (* (- y) (- 1.0 x)) (* (- 1.0 x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (- 1.0 x) (sqrt (- 1.0 y))) (* (- 1.0 x) 1) (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (* (- 1.0 x) 1) (* (cbrt (- 1.0 x)) (- 1.0 y)) (* (sqrt (- 1.0 x)) (- 1.0 y)) (* (- 1.0 x) (- 1.0 y)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y)) (* (- 1.0 x) (- 1.0 y)) (* (- 1.0 x) (- (pow 1.0 3) (pow y 3))) (* (- 1.0 x) (- (* 1.0 1.0) (* y y))) (* (- (pow 1.0 3) (pow x 3)) (- 1.0 y)) (* (- (* 1.0 1.0) (* x x)) (- 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) (- 1.0 (+ (* 1.0 x) (* 1.0 y))) (- (* x y) (+ (* 1.0 x) (* 1.0 y))) (- (* x y) (+ (* 1.0 x) (* 1.0 y))) 3.356 * * [simplify]: iteration 0 : 171 enodes (cost 1609 ) 3.387 * * [simplify]: iteration 1 : 397 enodes (cost 1337 ) 3.483 * * [simplify]: iteration 2 : 1596 enodes (cost 1109 ) 4.084 * * [simplify]: iteration done : 5000 enodes (cost 1109 ) 4.085 * [simplify]: Simplified to: (expm1 (fma (- 1.0 y) (- 1.0 x) x)) (log1p (fma (- 1.0 y) (- 1.0 x) x)) (exp (fma (- 1.0 y) (- 1.0 x) x)) (log (fma (- 1.0 y) (- 1.0 x) x)) (exp (fma (- 1.0 y) (- 1.0 x) x)) (* (cbrt (fma (- 1.0 y) (- 1.0 x) x)) (cbrt (fma (- 1.0 y) (- 1.0 x) x))) (cbrt (fma (- 1.0 y) (- 1.0 x) x)) (pow (fma (- 1.0 y) (- 1.0 x) x) 3) (sqrt (fma (- 1.0 y) (- 1.0 x) x)) (sqrt (fma (- 1.0 y) (- 1.0 x) x)) (+ (pow x 3) (pow (* (- 1.0 x) (- 1.0 y)) 3)) (fma x x (* (* (- 1.0 x) (- 1.0 y)) (- (* (- 1.0 x) (- 1.0 y)) x))) (* (fma (- 1.0 y) (- 1.0 x) x) (- x (* (- 1.0 x) (- 1.0 y)))) (- x (* (- 1.0 x) (- 1.0 y))) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 x) 1.0 x) (fma (- 1.0 x) 1.0 x) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 x) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y)) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 y) (- 1.0 x) x) (fma (- 1.0 x) 1.0 x) (fma (- 1.0 x) 1.0 x) (expm1 (* (- 1.0 x) (- 1.0 y))) (log1p (* (- 1.0 x) (- 1.0 y))) (* (- 1.0 y) (- 1.0 x)) (log (* (- 1.0 x) (- 1.0 y))) (log (* (- 1.0 x) (- 1.0 y))) (exp (* (- 1.0 x) (- 1.0 y))) (pow (* (- 1.0 y) (- 1.0 x)) 3) (* (cbrt (* (- 1.0 x) (- 1.0 y))) (cbrt (* (- 1.0 x) (- 1.0 y)))) (cbrt (* (- 1.0 x) (- 1.0 y))) (pow (* (- 1.0 y) (- 1.0 x)) 3) (sqrt (* (- 1.0 x) (- 1.0 y))) (sqrt (* (- 1.0 x) (- 1.0 y))) (* (- (pow 1.0 3) (pow x 3)) (- (pow 1.0 3) (pow y 3))) (* (fma 1.0 1.0 (* y (+ 1.0 y))) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 y) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow y 3))) (* (+ 1.0 x) (fma 1.0 1.0 (* y (+ 1.0 y)))) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 x) (+ 1.0 y)) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 y))) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 y))) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* 1.0 (- 1.0 x)) (* (- 1.0 x) (- y)) (* 1.0 (- 1.0 x)) (* (- 1.0 x) (- y)) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 x) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* (- 1.0 y) (- 1.0 x)) (* (* y 0) (- 1.0 x)) (* 1.0 (- 1.0 x)) (* (- 1.0 x) (- y)) (* 1.0 (- 1.0 x)) (* (- 1.0 x) (- y)) (* (- 1.0 x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (- 1.0 x) (sqrt (- 1.0 y))) (- 1.0 x) (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (- 1.0 x) (* (cbrt (- 1.0 x)) (- 1.0 y)) (* (sqrt (- 1.0 x)) (- 1.0 y)) (* (- 1.0 y) (- 1.0 x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y)) (* (- 1.0 y) (- 1.0 x)) (* (- 1.0 x) (- (pow 1.0 3) (pow y 3))) (* (- 1.0 x) (- (* 1.0 1.0) (* y y))) (* (- (pow 1.0 3) (pow x 3)) (- 1.0 y)) (* (- (* 1.0 1.0) (* x x)) (- 1.0 y)) (- (fma x y 1.0) (* 1.0 y)) (- (fma x y 1.0) (* 1.0 y)) (- (fma x y 1.0) (* 1.0 y)) (- 1.0 (* 1.0 (+ x y))) (- (* x y) (* 1.0 (+ x y))) (- (* x y) (* 1.0 (+ x y))) 4.085 * * * [progress]: adding candidates to table 4.282 * * [progress]: iteration 2 / 4 4.282 * * * [progress]: picking best candidate 4.286 * * * * [pick]: Picked # 4.286 * * * [progress]: localizing error 4.291 * * * [progress]: generating rewritten candidates 4.291 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.295 * * * [progress]: generating series expansions 4.295 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.295 * [approximate]: Taking taylor expansion of (- (fma x y 1.0) (* 1.0 y)) in (x y) around 0 4.295 * [taylor]: Taking taylor expansion of (- (fma x y 1.0) (* 1.0 y)) in y 4.295 * [taylor]: Taking taylor expansion of (fma x y 1.0) in y 4.295 * [taylor]: Rewrote expression to (+ (* x y) 1.0) 4.295 * [taylor]: Taking taylor expansion of (* x y) in y 4.295 * [taylor]: Taking taylor expansion of x in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [taylor]: Taking taylor expansion of 1.0 in y 4.295 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 4.295 * [taylor]: Taking taylor expansion of 1.0 in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [taylor]: Taking taylor expansion of (- (fma x y 1.0) (* 1.0 y)) in x 4.295 * [taylor]: Taking taylor expansion of (fma x y 1.0) in x 4.296 * [taylor]: Rewrote expression to (+ (* x y) 1.0) 4.296 * [taylor]: Taking taylor expansion of (* x y) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [taylor]: Taking taylor expansion of (- (fma x y 1.0) (* 1.0 y)) in x 4.296 * [taylor]: Taking taylor expansion of (fma x y 1.0) in x 4.296 * [taylor]: Rewrote expression to (+ (* x y) 1.0) 4.296 * [taylor]: Taking taylor expansion of (* x y) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.297 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 4.297 * [taylor]: Taking taylor expansion of 1.0 in y 4.297 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 4.297 * [taylor]: Taking taylor expansion of 1.0 in y 4.297 * [taylor]: Taking taylor expansion of y in y 4.298 * [taylor]: Taking taylor expansion of y in y 4.302 * [taylor]: Taking taylor expansion of 0 in y 4.303 * [approximate]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 y) 1.0) (* 1.0 (/ 1 y))) in (x y) around 0 4.303 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 y) 1.0) (* 1.0 (/ 1 y))) in y 4.303 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) 1.0) in y 4.303 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) 1.0) 4.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in y 4.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.303 * [taylor]: Taking taylor expansion of x in y 4.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.303 * [taylor]: Taking taylor expansion of y in y 4.303 * [taylor]: Taking taylor expansion of 1.0 in y 4.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 4.304 * [taylor]: Taking taylor expansion of 1.0 in y 4.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.304 * [taylor]: Taking taylor expansion of y in y 4.304 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 y) 1.0) (* 1.0 (/ 1 y))) in x 4.304 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) 1.0) in x 4.304 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) 1.0) 4.304 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x 4.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.304 * [taylor]: Taking taylor expansion of x in x 4.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.304 * [taylor]: Taking taylor expansion of y in x 4.304 * [taylor]: Taking taylor expansion of 1.0 in x 4.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 4.304 * [taylor]: Taking taylor expansion of 1.0 in x 4.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.305 * [taylor]: Taking taylor expansion of y in x 4.305 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 y) 1.0) (* 1.0 (/ 1 y))) in x 4.305 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) 1.0) in x 4.305 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) 1.0) 4.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.305 * [taylor]: Taking taylor expansion of x in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.305 * [taylor]: Taking taylor expansion of y in x 4.305 * [taylor]: Taking taylor expansion of 1.0 in x 4.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 4.305 * [taylor]: Taking taylor expansion of 1.0 in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.305 * [taylor]: Taking taylor expansion of y in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.305 * [taylor]: Taking taylor expansion of y in y 4.307 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 4.307 * [taylor]: Taking taylor expansion of 1.0 in y 4.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 4.307 * [taylor]: Taking taylor expansion of 1.0 in y 4.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.307 * [taylor]: Taking taylor expansion of y in y 4.311 * [taylor]: Taking taylor expansion of 0 in y 4.313 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 y) 1.0) (* 1.0 (/ 1 y))) in (x y) around 0 4.313 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 y) 1.0) (* 1.0 (/ 1 y))) in y 4.313 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) 1.0) in y 4.314 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) 1.0) 4.314 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in y 4.314 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.314 * [taylor]: Taking taylor expansion of -1 in y 4.314 * [taylor]: Taking taylor expansion of x in y 4.314 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.314 * [taylor]: Taking taylor expansion of -1 in y 4.314 * [taylor]: Taking taylor expansion of y in y 4.314 * [taylor]: Taking taylor expansion of 1.0 in y 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 4.314 * [taylor]: Taking taylor expansion of 1.0 in y 4.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.314 * [taylor]: Taking taylor expansion of y in y 4.315 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 y) 1.0) (* 1.0 (/ 1 y))) in x 4.315 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) 1.0) in x 4.315 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) 1.0) 4.315 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in x 4.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.315 * [taylor]: Taking taylor expansion of -1 in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.315 * [taylor]: Taking taylor expansion of -1 in x 4.315 * [taylor]: Taking taylor expansion of y in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 4.315 * [taylor]: Taking taylor expansion of 1.0 in x 4.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.315 * [taylor]: Taking taylor expansion of y in x 4.315 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 y) 1.0) (* 1.0 (/ 1 y))) in x 4.315 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) 1.0) in x 4.316 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) 1.0) 4.316 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in x 4.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.316 * [taylor]: Taking taylor expansion of -1 in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.316 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.316 * [taylor]: Taking taylor expansion of -1 in x 4.316 * [taylor]: Taking taylor expansion of y in x 4.316 * [taylor]: Taking taylor expansion of 1.0 in x 4.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 4.316 * [taylor]: Taking taylor expansion of 1.0 in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.316 * [taylor]: Taking taylor expansion of y in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.316 * [taylor]: Taking taylor expansion of y in y 4.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) 1.0) in y 4.318 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 4.318 * [taylor]: Taking taylor expansion of 1.0 in y 4.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.318 * [taylor]: Taking taylor expansion of y in y 4.318 * [taylor]: Taking taylor expansion of 1.0 in y 4.322 * [taylor]: Taking taylor expansion of 0 in y 4.323 * * * [progress]: simplifying candidates 4.324 * [simplify]: Simplifying using # : (fma (* (cbrt (fma x y 1.0)) (cbrt (fma x y 1.0))) (cbrt (fma x y 1.0)) (- (* y 1.0))) (fma (- y) 1.0 (* y 1.0)) (fma (sqrt (fma x y 1.0)) (sqrt (fma x y 1.0)) (- (* y 1.0))) (fma (- y) 1.0 (* y 1.0)) (fma 1 (fma x y 1.0) (- (* y 1.0))) (fma (- y) 1.0 (* y 1.0)) (expm1 (- (fma x y 1.0) (* 1.0 y))) (log1p (- (fma x y 1.0) (* 1.0 y))) (- (* 1.0 y)) (- (* 1.0 y)) (- (* 1.0 y)) (/ (exp (fma x y 1.0)) (exp (* 1.0 y))) (log (- (fma x y 1.0) (* 1.0 y))) (exp (- (fma x y 1.0) (* 1.0 y))) (* (cbrt (- (fma x y 1.0) (* 1.0 y))) (cbrt (- (fma x y 1.0) (* 1.0 y)))) (cbrt (- (fma x y 1.0) (* 1.0 y))) (* (* (- (fma x y 1.0) (* 1.0 y)) (- (fma x y 1.0) (* 1.0 y))) (- (fma x y 1.0) (* 1.0 y))) (sqrt (- (fma x y 1.0) (* 1.0 y))) (sqrt (- (fma x y 1.0) (* 1.0 y))) (- (pow (fma x y 1.0) 3) (pow (* 1.0 y) 3)) (+ (* (fma x y 1.0) (fma x y 1.0)) (+ (* (* 1.0 y) (* 1.0 y)) (* (fma x y 1.0) (* 1.0 y)))) (- (* 1.0 y)) (- (* (fma x y 1.0) (fma x y 1.0)) (* (* 1.0 y) (* 1.0 y))) (+ (fma x y 1.0) (* 1.0 y)) (- 1.0 (* 1.0 y)) (- (* 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) (- (+ (* x y) 1.0) (* 1.0 y)) 4.326 * * [simplify]: iteration 0 : 45 enodes (cost 300 ) 4.333 * * [simplify]: iteration 1 : 106 enodes (cost 291 ) 4.356 * * [simplify]: iteration 2 : 363 enodes (cost 260 ) 4.468 * * [simplify]: iteration 3 : 1622 enodes (cost 232 ) 5.100 * * [simplify]: iteration done : 5000 enodes (cost 229 ) 5.101 * [simplify]: Simplified to: (- (pow (cbrt (fma x y 1.0)) 3) (* y 1.0)) (* (- 1.0 1.0) y) (+ 1.0 (* y (- x 1.0))) (* (- 1.0 1.0) y) (+ 1.0 (* y (- x 1.0))) (* (- 1.0 1.0) y) (expm1 (+ 1.0 (* y (- x 1.0)))) (log1p (+ 1.0 (* y (- x 1.0)))) (- (* y 1.0)) (- (* y 1.0)) (- (* y 1.0)) (exp (+ 1.0 (* y (- x 1.0)))) (log (+ 1.0 (* y (- x 1.0)))) (exp (+ 1.0 (* y (- x 1.0)))) (* (cbrt (+ 1.0 (* y (- x 1.0)))) (cbrt (+ 1.0 (* y (- x 1.0))))) (cbrt (+ 1.0 (* y (- x 1.0)))) (pow (+ 1.0 (* y (- x 1.0))) 3) (sqrt (+ 1.0 (* y (- x 1.0)))) (sqrt (+ 1.0 (* y (- x 1.0)))) (- (pow (fma x y 1.0) 3) (pow (* 1.0 y) 3)) (fma (* y y) (* 1.0 1.0) (* (fma y 1.0 (fma x y 1.0)) (fma x y 1.0))) (- (* y 1.0)) (* (+ 1.0 (* y (- x 1.0))) (fma y 1.0 (fma x y 1.0))) (fma y 1.0 (fma x y 1.0)) (- 1.0 (* 1.0 y)) (- (* y 1.0)) (+ 1.0 (* y (- x 1.0))) (+ 1.0 (* y (- x 1.0))) (+ 1.0 (* y (- x 1.0))) 5.101 * * * [progress]: adding candidates to table 5.159 * * [progress]: iteration 3 / 4 5.159 * * * [progress]: picking best candidate 5.162 * * * * [pick]: Picked # 5.162 * * * [progress]: localizing error 5.167 * * * [progress]: generating rewritten candidates 5.167 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 5.182 * * * [progress]: generating series expansions 5.182 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 5.182 * [approximate]: Taking taylor expansion of (* (- x 1.0) y) in (y x) around 0 5.182 * [taylor]: Taking taylor expansion of (* (- x 1.0) y) in x 5.182 * [taylor]: Taking taylor expansion of (- x 1.0) in x 5.182 * [taylor]: Taking taylor expansion of x in x 5.182 * [taylor]: Taking taylor expansion of 1.0 in x 5.182 * [taylor]: Taking taylor expansion of y in x 5.182 * [taylor]: Taking taylor expansion of (* (- x 1.0) y) in y 5.182 * [taylor]: Taking taylor expansion of (- x 1.0) in y 5.182 * [taylor]: Taking taylor expansion of x in y 5.182 * [taylor]: Taking taylor expansion of 1.0 in y 5.182 * [taylor]: Taking taylor expansion of y in y 5.182 * [taylor]: Taking taylor expansion of (* (- x 1.0) y) in y 5.182 * [taylor]: Taking taylor expansion of (- x 1.0) in y 5.182 * [taylor]: Taking taylor expansion of x in y 5.182 * [taylor]: Taking taylor expansion of 1.0 in y 5.182 * [taylor]: Taking taylor expansion of y in y 5.183 * [taylor]: Taking taylor expansion of 0 in x 5.184 * [taylor]: Taking taylor expansion of (- x 1.0) in x 5.184 * [taylor]: Taking taylor expansion of x in x 5.184 * [taylor]: Taking taylor expansion of 1.0 in x 5.187 * [taylor]: Taking taylor expansion of 0 in x 5.188 * [taylor]: Taking taylor expansion of 0 in x 5.190 * [taylor]: Taking taylor expansion of 0 in x 5.190 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) y) in (y x) around 0 5.190 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) y) in x 5.190 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 5.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.190 * [taylor]: Taking taylor expansion of x in x 5.191 * [taylor]: Taking taylor expansion of 1.0 in x 5.191 * [taylor]: Taking taylor expansion of y in x 5.191 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) y) in y 5.191 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in y 5.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.191 * [taylor]: Taking taylor expansion of x in y 5.191 * [taylor]: Taking taylor expansion of 1.0 in y 5.191 * [taylor]: Taking taylor expansion of y in y 5.192 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) y) in y 5.192 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in y 5.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.192 * [taylor]: Taking taylor expansion of x in y 5.192 * [taylor]: Taking taylor expansion of 1.0 in y 5.192 * [taylor]: Taking taylor expansion of y in y 5.193 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 5.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.193 * [taylor]: Taking taylor expansion of 1.0 in x 5.194 * [taylor]: Taking taylor expansion of 0 in x 5.197 * [taylor]: Taking taylor expansion of 0 in x 5.200 * [taylor]: Taking taylor expansion of 0 in x 5.203 * [taylor]: Taking taylor expansion of 0 in x 5.204 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (y x) around 0 5.204 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 5.204 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.204 * [taylor]: Taking taylor expansion of 1.0 in x 5.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.204 * [taylor]: Taking taylor expansion of x in x 5.205 * [taylor]: Taking taylor expansion of y in x 5.205 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 5.205 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 5.205 * [taylor]: Taking taylor expansion of 1.0 in y 5.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.205 * [taylor]: Taking taylor expansion of x in y 5.205 * [taylor]: Taking taylor expansion of y in y 5.205 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 5.205 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 5.205 * [taylor]: Taking taylor expansion of 1.0 in y 5.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.205 * [taylor]: Taking taylor expansion of x in y 5.205 * [taylor]: Taking taylor expansion of y in y 5.205 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.205 * [taylor]: Taking taylor expansion of 1.0 in x 5.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.205 * [taylor]: Taking taylor expansion of x in x 5.207 * [taylor]: Taking taylor expansion of 0 in x 5.209 * [taylor]: Taking taylor expansion of 0 in x 5.212 * [taylor]: Taking taylor expansion of 0 in x 5.214 * [taylor]: Taking taylor expansion of 0 in x 5.215 * * * [progress]: simplifying candidates 5.216 * [simplify]: Simplifying using # : (expm1 (* y (- x 1.0))) (log1p (* y (- x 1.0))) (* y (- x 1.0)) (+ (log y) (log (- x 1.0))) (log (* y (- x 1.0))) (exp (* y (- x 1.0))) (* (* (* y y) y) (* (* (- x 1.0) (- x 1.0)) (- x 1.0))) (* (cbrt (* y (- x 1.0))) (cbrt (* y (- x 1.0)))) (cbrt (* y (- x 1.0))) (* (* (* y (- x 1.0)) (* y (- x 1.0))) (* y (- x 1.0))) (sqrt (* y (- x 1.0))) (sqrt (* y (- x 1.0))) (* (sqrt y) (sqrt (- x 1.0))) (* (sqrt y) (sqrt (- x 1.0))) (* y (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* y (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt 1.0) (sqrt 1.0))))) (* y (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* 1.0 1)))) (* y (fma (- 1.0) 1 (* 1.0 1))) (* y (fma (sqrt x) (sqrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* y (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y (fma (sqrt x) (sqrt x) (- (* (sqrt 1.0) (sqrt 1.0))))) (* y (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y (fma (sqrt x) (sqrt x) (- (* 1.0 1)))) (* y (fma (- 1.0) 1 (* 1.0 1))) (* y (fma 1 x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* y (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y (fma 1 x (- (* (sqrt 1.0) (sqrt 1.0))))) (* y (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y (fma 1 x (- (* 1.0 1)))) (* y (fma (- 1.0) 1 (* 1.0 1))) (* y x) (* y (- 1.0)) (* y x) (* y (- 1.0)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) y) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) y) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt 1.0) (sqrt 1.0)))) y) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) y) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* 1.0 1))) y) (* (fma (- 1.0) 1 (* 1.0 1)) y) (* (fma (sqrt x) (sqrt x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) y) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) y) (* (fma (sqrt x) (sqrt x) (- (* (sqrt 1.0) (sqrt 1.0)))) y) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) y) (* (fma (sqrt x) (sqrt x) (- (* 1.0 1))) y) (* (fma (- 1.0) 1 (* 1.0 1)) y) (* (fma 1 x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) y) (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) y) (* (fma 1 x (- (* (sqrt 1.0) (sqrt 1.0)))) y) (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) y) (* (fma 1 x (- (* 1.0 1))) y) (* (fma (- 1.0) 1 (* 1.0 1)) y) (* x y) (* (- 1.0) y) (* x y) (* (- 1.0) y) (* y (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* y (sqrt (- x 1.0))) (* y 1) (* y (+ (sqrt x) (sqrt 1.0))) (* y 1) (* (cbrt y) (- x 1.0)) (* (sqrt y) (- x 1.0)) (* y (- x 1.0)) (* y (- (pow x 3) (pow 1.0 3))) (* y (- (* x x) (* 1.0 1.0))) (- (* x y) (* 1.0 y)) (- (* x y) (* 1.0 y)) (- (* x y) (* 1.0 y)) 5.219 * * [simplify]: iteration 0 : 102 enodes (cost 721 ) 5.235 * * [simplify]: iteration 1 : 194 enodes (cost 548 ) 5.281 * * [simplify]: iteration 2 : 703 enodes (cost 420 ) 5.643 * * [simplify]: iteration 3 : 2778 enodes (cost 360 ) 7.368 * * [simplify]: iteration done : 5001 enodes (cost 360 ) 7.368 * [simplify]: Simplified to: (expm1 (* y (- x 1.0))) (log1p (* y (- x 1.0))) (* (- x 1.0) y) (log (* y (- x 1.0))) (log (* y (- x 1.0))) (exp (* y (- x 1.0))) (pow (* y (- x 1.0)) 3) (* (cbrt (* y (- x 1.0))) (cbrt (* y (- x 1.0)))) (cbrt (* y (- x 1.0))) (pow (* y (- x 1.0)) 3) (sqrt (* y (- x 1.0))) (sqrt (* y (- x 1.0))) (* (sqrt y) (sqrt (- x 1.0))) (* (sqrt y) (sqrt (- x 1.0))) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* x y) (* (- 1.0) y) (* x y) (* (- 1.0) y) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* y (- (pow (cbrt x) 3) 1.0)) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* (- x 1.0) y) (* y 0) (* x y) (* (- 1.0) y) (* x y) (* (- 1.0) y) (* y (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* y (sqrt (- x 1.0))) y (* y (+ (sqrt x) (sqrt 1.0))) y (* (cbrt y) (- x 1.0)) (* (sqrt y) (- x 1.0)) (* (- x 1.0) y) (* y (- (pow x 3) (pow 1.0 3))) (* y (- (* x x) (* 1.0 1.0))) (* (- x 1.0) y) (* (- x 1.0) y) (* (- x 1.0) y) 7.369 * * * [progress]: adding candidates to table 7.434 * [progress]: [Phase 3 of 3] Extracting. 7.436 * [simplify]: Simplifying using # : (+ 1.0 (* y (- x 1.0))) 7.436 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 7.436 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 7.437 * * [simplify]: iteration done : 8 enodes (cost 7 ) 7.437 * [simplify]: Simplified to: (+ 1.0 (* y (- x 1.0))) 7.927 * [regime-testing]: End program error score: 0.00707400456316054 7.944 * [regime-testing]: Target error score: 0.00557381703972011