33.108 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.035 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.036 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.037 * * [simplify]: iteration 2 : 16 enodes (cost 3 ) 0.039 * * [simplify]: iteration 3 : 17 enodes (cost 3 ) 0.040 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.040 * [simplify]: Simplified to: (* x (/ (sin y) y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.061 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.061 * [taylor]: Taking taylor expansion of (sin y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.062 * [taylor]: Taking taylor expansion of (sin y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.070 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.070 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.075 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.075 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.075 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.075 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.087 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.087 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (sin y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.088 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (sin y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.091 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (sin y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.093 * [taylor]: Taking taylor expansion of (sin y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.116 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.116 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.117 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.117 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.118 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.118 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.130 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.130 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.130 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.130 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.131 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.131 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.132 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.144 * * * [progress]: simplifying candidates 0.145 * [simplify]: Simplifying using # : (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (- (log (sin y)) (log y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) 1) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 1) (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (/ (sin y) 1) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* x (/ (sin y) y))) (log1p (* x (/ (sin y) y))) (* x (/ (sin y) y)) (+ (log x) (- (log (sin y)) (log y))) (+ (log x) (log (/ (sin y) y))) (log (* x (/ (sin y) y))) (exp (* x (/ (sin y) y))) (* (* (* x x) x) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y))) (* (* (* x x) x) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y))) (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y))) (* (* (* x (/ (sin y) y)) (* x (/ (sin y) y))) (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* x (sqrt (/ (sin y) y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (* x (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (sin y)) (sqrt y))) (* x (/ (sqrt (sin y)) 1)) (* x (/ 1 (* (cbrt y) (cbrt y)))) (* x (/ 1 (sqrt y))) (* x (/ 1 1)) (* x 1) (* x (sin y)) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* x (sin y)) (* x (- (sin y))) (* x 1) (* x (/ (sin y) (* (cbrt y) (cbrt y)))) (* x (/ (sin y) (sqrt y))) (* x (/ (sin y) 1)) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) (* x 1) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.149 * * [simplify]: iteration 0 : 234 enodes (cost 358 ) 0.154 * * [simplify]: iteration 1 : 1087 enodes (cost 326 ) 0.176 * * [simplify]: iteration 2 : 5002 enodes (cost 326 ) 0.178 * [simplify]: Simplified to: (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (log (/ (sin y) y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (pow (/ (sin y) y) 3) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (pow (/ (sin y) y) 3) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (sqrt (sin y)) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) 1 (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* x (/ (sin y) y))) (log1p (* x (/ (sin y) y))) (* x (/ (sin y) y)) (log (* x (/ (sin y) y))) (log (* x (/ (sin y) y))) (log (* x (/ (sin y) y))) (exp (* x (/ (sin y) y))) (pow (* x (/ (sin y) y)) 3) (pow (* x (/ (sin y) y)) 3) (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y))) (pow (* x (/ (sin y) y)) 3) (sqrt (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* x (sqrt (/ (sin y) y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (sin y)) (sqrt y))) (* (sqrt (sin y)) x) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (* (sin y) x) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* (sin y) x) (* x (- (sin y))) x (* x (/ (sin y) (* (cbrt y) (cbrt y)))) (* x (/ (sin y) (sqrt y))) (* (sin y) x) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* (sqrt (sin y)) x) x (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* x (/ (sin y) y)) (* x (/ (sin y) y)) 0.178 * * * [progress]: adding candidates to table 0.281 * * [progress]: iteration 2 / 4 0.281 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.304 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.315 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.315 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (sin y) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (sin y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.324 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.324 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.324 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.325 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.325 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.331 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.331 * [taylor]: Taking taylor expansion of -1 in y 0.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.331 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.331 * [taylor]: Taking taylor expansion of -1 in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.332 * [taylor]: Taking taylor expansion of -1 in y 0.332 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.332 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.332 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.332 * [taylor]: Taking taylor expansion of -1 in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.338 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.338 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.338 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (sin y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.339 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (sin y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.341 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (sin y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.343 * [taylor]: Taking taylor expansion of (sin y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.363 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.363 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.365 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.380 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.380 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.380 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.381 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.381 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.381 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.381 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.381 * [taylor]: Taking taylor expansion of -1 in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * * * [progress]: simplifying candidates 0.395 * [simplify]: Simplifying using # : (expm1 (/ y (sin y))) (log1p (/ y (sin y))) (- (log y) (log (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (- y) (- (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) 1) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) (/ 1 1) (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) (/ y 1) (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (expm1 (/ x (/ y (sin y)))) (log1p (/ x (/ y (sin y)))) (- (log x) (- (log y) (log (sin y)))) (- (log x) (log (/ y (sin y)))) (log (/ x (/ y (sin y)))) (exp (/ x (/ y (sin y)))) (/ (* (* x x) x) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* x x) x) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y)))) (* (cbrt (/ x (/ y (sin y)))) (cbrt (/ x (/ y (sin y))))) (cbrt (/ x (/ y (sin y)))) (* (* (/ x (/ y (sin y))) (/ x (/ y (sin y)))) (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (- x) (- (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt x) (cbrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y (sin y)))) (/ (cbrt x) (sqrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt x) (/ (cbrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) 1)) (/ (cbrt x) (/ (sqrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ y (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt (sin y)))) (/ (cbrt x) (/ y (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) (/ 1 (sin y))) (/ (sqrt x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt x) (cbrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt x) (/ (cbrt y) (sin y))) (/ (sqrt x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) 1)) (/ (sqrt x) (/ (sqrt y) (sin y))) (/ (sqrt x) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ y (cbrt (sin y)))) (/ (sqrt x) (/ 1 (sqrt (sin y)))) (/ (sqrt x) (/ y (sqrt (sin y)))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) 1) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) y) (/ (sqrt x) (/ 1 (sin y))) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ x (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (cbrt y) (cbrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (/ (cbrt y) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (cbrt y) (sin y))) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (cbrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ x (/ (sqrt y) (sin y))) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (cbrt (sin y)))) (/ 1 (/ 1 (sqrt (sin y)))) (/ x (/ y (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ x (/ y (sin y))) (/ 1 1) (/ x (/ y (sin y))) (/ 1 y) (/ x (/ 1 (sin y))) (/ 1 (/ y (sin y))) (/ (/ y (sin y)) x) (/ x (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (sqrt (/ y (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ x (/ (sqrt y) 1)) (/ x (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ 1 (sqrt (sin y)))) (/ x (/ 1 1)) (/ x 1) (/ x y) (/ (/ y (sin y)) (cbrt x)) (/ (/ y (sin y)) (sqrt x)) (/ (/ y (sin y)) x) (/ x y) (/ x (- y)) (/ x 1) (/ x (/ y (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (sqrt (sin y)))) (/ x (/ y 1)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) (/ x 1) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.401 * * [simplify]: iteration 0 : 377 enodes (cost 743 ) 0.408 * * [simplify]: iteration 1 : 1666 enodes (cost 707 ) 0.436 * * [simplify]: iteration 2 : 5001 enodes (cost 706 ) 0.441 * [simplify]: Simplified to: (expm1 (/ y (sin y))) (log1p (/ y (sin y))) (log (/ y (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (pow (/ y (sin y)) 3) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (pow (/ y (sin y)) 3) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (- y) (- (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (sqrt y) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) 1 (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (expm1 (/ x (/ y (sin y)))) (log1p (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (exp (/ x (/ y (sin y)))) (pow (/ (* x (sin y)) y) 3) (pow (/ (* x (sin y)) y) 3) (* (cbrt (/ x (/ y (sin y)))) (cbrt (/ x (/ y (sin y))))) (cbrt (/ x (/ y (sin y)))) (pow (/ (* x (sin y)) y) 3) (sqrt (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (- x) (- (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt x) (cbrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y (sin y)))) (/ (cbrt x) (sqrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ (cbrt x) (/ (cbrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (/ (sqrt y) (sin y))) (* (* (cbrt x) (cbrt x)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt x) (/ y (cbrt (sin y)))) (* (* (cbrt x) (cbrt x)) (sqrt (sin y))) (/ (cbrt x) (/ y (sqrt (sin y)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (sin y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) y) (* (sin y) (cbrt x)) (/ (sqrt x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt x) (cbrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (cbrt y) (sin y))) (/ (sqrt x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (/ (sqrt y) (sin y))) (* (sqrt x) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt x) (/ y (cbrt (sin y)))) (* (sqrt x) (sqrt (sin y))) (/ (sqrt x) (/ y (sqrt (sin y)))) (sqrt x) (/ (sqrt x) (/ y (sin y))) (sqrt x) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) y) (* (sqrt x) (sin y)) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ x (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt (sin y)))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sin y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ x (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ 1 (sqrt y)) (/ x (/ (sqrt y) (sin y))) (* (cbrt (sin y)) (cbrt (sin y))) (/ x (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ x (/ y (sqrt (sin y)))) 1 (/ (* x (sin y)) y) 1 (/ (* x (sin y)) y) (/ 1 y) (* x (sin y)) (/ (sin y) y) (/ (/ y (sin y)) x) (/ x (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (sqrt (/ y (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (* (cbrt y) (cbrt y))) (/ x (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ x (sqrt y)) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) x x (/ x y) (/ (/ y (sin y)) (cbrt x)) (/ (/ y (sin y)) (sqrt x)) (/ (/ y (sin y)) x) (/ x y) (/ x (- y)) x (/ x (/ y (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (sqrt (sin y)))) (/ x y) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.441 * * * [progress]: adding candidates to table 0.616 * * [progress]: iteration 3 / 4 0.616 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.635 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.645 * * * [progress]: generating series expansions 0.645 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.645 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.645 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.645 * [taylor]: Taking taylor expansion of (sin y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.646 * [taylor]: Taking taylor expansion of (sin y) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.653 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.653 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.653 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.654 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.658 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.658 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.658 * [taylor]: Taking taylor expansion of -1 in y 0.658 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.658 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.658 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.658 * [taylor]: Taking taylor expansion of -1 in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.659 * [taylor]: Taking taylor expansion of -1 in y 0.659 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.659 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.659 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.659 * [taylor]: Taking taylor expansion of -1 in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.671 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.671 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (y x) around 0 0.671 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.671 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (sin y) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.673 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (sin y) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.674 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (sin y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.682 * [taylor]: Taking taylor expansion of (- (* 1/6 x)) in x 0.682 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.682 * [taylor]: Taking taylor expansion of 1/6 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 0 in x 0.686 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (y x) around 0 0.686 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.686 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.686 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.687 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.687 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.688 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of 0 in x 0.692 * [taylor]: Taking taylor expansion of 0 in x 0.696 * [taylor]: Taking taylor expansion of 0 in x 0.700 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (y x) around 0 0.700 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.700 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.700 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.700 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.700 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.700 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.701 * [taylor]: Taking taylor expansion of -1 in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.701 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.701 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.701 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.701 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.701 * [taylor]: Taking taylor expansion of -1 in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.702 * [taylor]: Taking taylor expansion of -1 in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of 0 in x 0.706 * [taylor]: Taking taylor expansion of 0 in x 0.710 * [taylor]: Taking taylor expansion of 0 in x 0.714 * * * [progress]: simplifying candidates 0.715 * [simplify]: Simplifying using # : (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (- (log (sin y)) (log y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) 1) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 1) (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (/ (sin y) 1) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* (/ (sin y) y) x)) (log1p (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (+ (- (log (sin y)) (log y)) (log x)) (+ (log (/ (sin y) y)) (log x)) (log (* (/ (sin y) y) x)) (exp (* (/ (sin y) y) x)) (* (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (* x x) x)) (* (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (* (* x x) x)) (* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x))) (cbrt (* (/ (sin y) y) x)) (* (* (* (/ (sin y) y) x) (* (/ (sin y) y) x)) (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sin y) y) (* (cbrt x) (cbrt x))) (* (/ (sin y) y) (sqrt x)) (* (/ (sin y) y) 1) (* (cbrt (/ (sin y) y)) x) (* (sqrt (/ (sin y) y)) x) (* (/ (cbrt (sin y)) (cbrt y)) x) (* (/ (cbrt (sin y)) (sqrt y)) x) (* (/ (cbrt (sin y)) y) x) (* (/ (sqrt (sin y)) (cbrt y)) x) (* (/ (sqrt (sin y)) (sqrt y)) x) (* (/ (sqrt (sin y)) y) x) (* (/ (sin y) (cbrt y)) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (* (/ 1 y) x) (* (sin y) x) (* (- (sin y)) x) (* 1 x) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) 1) x) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) (* 1 x) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.719 * * [simplify]: iteration 0 : 236 enodes (cost 351 ) 0.725 * * [simplify]: iteration 1 : 1142 enodes (cost 319 ) 0.747 * * [simplify]: iteration 2 : 5002 enodes (cost 319 ) 0.749 * [simplify]: Simplified to: (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (log (/ (sin y) y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (pow (/ (sin y) y) 3) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (pow (/ (sin y) y) 3) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (sqrt (sin y)) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) 1 (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* (/ (sin y) y) x)) (log1p (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (log (* (/ (sin y) y) x)) (log (* (/ (sin y) y) x)) (log (* (/ (sin y) y) x)) (exp (* (/ (sin y) y) x)) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x))) (cbrt (* (/ (sin y) y) x)) (pow (* (/ (sin y) y) x) 3) (sqrt (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sin y) y) (* (cbrt x) (cbrt x))) (* (/ (sin y) y) (sqrt x)) (/ (sin y) y) (* (cbrt (/ (sin y) y)) x) (* (sqrt (/ (sin y) y)) x) (* (/ (cbrt (sin y)) (cbrt y)) x) (* (/ (cbrt (sin y)) (sqrt y)) x) (* (/ (cbrt (sin y)) y) x) (* (/ (sqrt (sin y)) (cbrt y)) x) (* (/ (sqrt (sin y)) (sqrt y)) x) (* (/ (sqrt (sin y)) y) x) (* (/ (sin y) (cbrt y)) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (/ x y) (* x (sin y)) (* (- (sin y)) x) x (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* x (sin y)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* (/ (sin y) y) x) (* (/ (sin y) y) x) 0.749 * * * [progress]: adding candidates to table 0.852 * * [progress]: iteration 4 / 4 0.853 * * * [progress]: picking best candidate 0.861 * * * * [pick]: Picked # 0.861 * * * [progress]: localizing error 0.870 * * * [progress]: generating rewritten candidates 0.870 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.878 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.882 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.905 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.905 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (sin y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sin y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.914 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.914 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.915 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.915 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.921 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.921 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.921 * [taylor]: Taking taylor expansion of -1 in y 0.921 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.921 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.921 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.921 * [taylor]: Taking taylor expansion of -1 in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.922 * [taylor]: Taking taylor expansion of -1 in y 0.922 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.922 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.922 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.922 * [taylor]: Taking taylor expansion of -1 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.927 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.928 * [approximate]: Taking taylor expansion of (/ 1 (sin y)) in (y) around 0 0.928 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.928 * [taylor]: Taking taylor expansion of (sin y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.928 * [taylor]: Taking taylor expansion of (sin y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.936 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in (y) around 0 0.936 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.936 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.936 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.938 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in (y) around 0 0.938 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.938 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.938 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.940 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.940 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.940 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.940 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of (sin y) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.941 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (sin y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.947 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (sin y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.950 * [taylor]: Taking taylor expansion of (sin y) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.970 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.970 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.970 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.971 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.971 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.972 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.984 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.984 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.984 * [taylor]: Taking taylor expansion of -1 in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.985 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.986 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.986 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.986 * [taylor]: Taking taylor expansion of -1 in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 0.998 * * * [progress]: simplifying candidates 1.001 * [simplify]: Simplifying using # : (expm1 (* y (/ 1 (sin y)))) (log1p (* y (/ 1 (sin y)))) (* y (/ 1 (sin y))) (+ (log y) (- (log (sin y)))) (+ (log y) (- 0 (log (sin y)))) (+ (log y) (- (log 1) (log (sin y)))) (+ (log y) (log (/ 1 (sin y)))) (log (* y (/ 1 (sin y)))) (exp (* y (/ 1 (sin y)))) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y)))) (* (* (* y y) y) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y)))) (* (cbrt (* y (/ 1 (sin y)))) (cbrt (* y (/ 1 (sin y))))) (cbrt (* y (/ 1 (sin y)))) (* (* (* y (/ 1 (sin y))) (* y (/ 1 (sin y)))) (* y (/ 1 (sin y)))) (sqrt (* y (/ 1 (sin y)))) (sqrt (* y (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (sin y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (sin y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (sin y)))) (* (sqrt y) (/ 1 (sqrt (sin y)))) (* (sqrt y) (/ 1 (sqrt (sin y)))) (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (* y (sqrt (/ 1 (sin y)))) (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ (sqrt 1) (sqrt (sin y)))) (* y (/ (sqrt 1) 1)) (* y (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ 1 (sqrt (sin y)))) (* y (/ 1 1)) (* y 1) (* y 1) (* (cbrt y) (/ 1 (sin y))) (* (sqrt y) (/ 1 (sin y))) (* y (/ 1 (sin y))) (* y 1) (* y (- 1)) (* y 1) (* y (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ 1 (sqrt (sin y)))) (* y (/ 1 1)) (* y (* (cbrt 1) (cbrt 1))) (* y (sqrt 1)) (* y 1) (expm1 (/ 1 (sin y))) (log1p (/ 1 (sin y))) (- 1) (- (log (sin y))) (- 0 (log (sin y))) (- (log 1) (log (sin y))) (log (/ 1 (sin y))) (exp (/ 1 (sin y))) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y))) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y))) (sqrt (/ 1 (sin y))) (sqrt (/ 1 (sin y))) (- 1) (- (sin y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt 1) (cbrt (sin y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))) (/ (cbrt 1) (sqrt (sin y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin y)) (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt 1) (cbrt (sin y))) (/ (sqrt 1) (sqrt (sin y))) (/ (sqrt 1) (sqrt (sin y))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 1) (/ 1 (sin y)) (/ 1 (sin y)) (/ (sin y) 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (sqrt (sin y))) (/ 1 1) (/ (sin y) (cbrt 1)) (/ (sin y) (sqrt 1)) (/ (sin y) 1) (expm1 (/ x (* y (/ 1 (sin y))))) (log1p (/ x (* y (/ 1 (sin y))))) (- (log x) (+ (log y) (- (log (sin y))))) (- (log x) (+ (log y) (- 0 (log (sin y))))) (- (log x) (+ (log y) (- (log 1) (log (sin 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(/ 1 (sin y))) (/ 1 (* y 1)) (/ x (/ 1 (sin y))) (/ 1 (* y 1)) (/ x (/ 1 (sin y))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (/ 1 (sin y)))) (/ 1 (sqrt y)) (/ x (* (sqrt y) (/ 1 (sin y)))) (/ 1 1) (/ x (* y (/ 1 (sin y)))) (/ 1 (/ 1 (sin y))) (/ x y) (/ 1 (* y (/ 1 (sin y)))) (/ (* y (/ 1 (sin y))) x) (/ x y) (/ x (* (cbrt (* y (/ 1 (sin y)))) (cbrt (* y (/ 1 (sin y)))))) (/ x (sqrt (* y (/ 1 (sin y))))) (/ x 1) (/ x (* (sqrt y) (sqrt (/ 1 (sin y))))) (/ x (* (sqrt y) (/ (sqrt 1) (sqrt (sin y))))) (/ x (* (sqrt y) (/ 1 (sqrt (sin y))))) (/ x (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (/ x (* y (sqrt (/ 1 (sin y))))) (/ x (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))))) (/ x (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))))) (/ x (* y (/ (* (cbrt 1) (cbrt 1)) 1))) (/ x (* y (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y)))))) (/ x (* y (/ (sqrt 1) (sqrt (sin y))))) (/ x (* y (/ (sqrt 1) 1))) (/ x (* y (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (/ x (* y (/ 1 (sqrt 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y)) (sqrt (sin y))) (/ 1 (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (/ x (cbrt (/ 1 (sin y)))) (/ 1 (* y (sqrt (/ 1 (sin y))))) (/ x (sqrt (/ 1 (sin y)))) (* (/ 1 y) (* (cbrt (sin y)) (cbrt (sin y)))) (* x (cbrt (sin y))) (* (/ 1 y) (sqrt (sin y))) (* x (sqrt (sin y))) (/ 1 y) (* x (sin y)) (* (/ 1 y) (* (cbrt (sin y)) (cbrt (sin y)))) (* x (cbrt (sin y))) (* (/ 1 y) (sqrt (sin y))) (* x (sqrt (sin y))) (/ 1 y) (* x (sin y)) (* (/ 1 y) (* (cbrt (sin y)) (cbrt (sin y)))) (* x (cbrt (sin y))) (* (/ 1 y) (sqrt (sin y))) (* x (sqrt (sin y))) (/ 1 y) (* x (sin y)) (/ 1 y) (* x (sin y)) (/ 1 y) (* x (sin y)) (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (sin y)) (/ 1 (sqrt y)) (* (/ x (sqrt y)) (sin y)) 1 (/ (* x (sin y)) y) (sin y) (/ x y) (/ (sin y) y) (/ (/ y x) (sin y)) (/ x y) (/ x (* (cbrt (* y (/ 1 (sin y)))) (cbrt (* y (/ 1 (sin y)))))) (/ x (sqrt (* y (/ 1 (sin y))))) x (/ x (* (sqrt y) (sqrt (/ 1 (sin y))))) (* (/ x (sqrt y)) (sqrt (sin y))) (* (/ x (sqrt y)) (sqrt (sin y))) (/ x (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (/ x (* y (sqrt (/ 1 (sin y))))) (* (/ x y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ x y) (sqrt (sin y))) (/ x y) (* (/ x y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ x y) (sqrt (sin y))) (/ x y) (* (/ x y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ x y) (sqrt (sin y))) (/ x y) (/ x y) (/ x y) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (* x (sin y)) (/ y (* (cbrt x) (sin y))) (/ (/ y (sqrt x)) (sin y)) (/ (/ y x) (sin y)) (/ x y) (/ x y) (/ x y) (/ x y) (/ x (- y)) (/ x y) (* (/ x y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ x y) (sqrt (sin y))) (/ x y) (/ x y) (/ x y) (/ x y) (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) (fma (pow y 3) 7/360 (fma y 1/6 (/ 1 y))) (/ 1 (sin y)) (/ 1 (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 1.071 * * * [progress]: adding candidates to table 1.318 * [progress]: [Phase 3 of 3] Extracting. 1.318 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.318 * * * [regime-changes]: Trying 3 branch expressions: ((/ (sin y) y) y x) 1.318 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # # #) 1.340 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# #) 1.356 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.376 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.398 * * * [regime]: Found split indices: #