29.298 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.032 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.033 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.034 * * [simplify]: iteration 2 : 16 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 17 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* x (/ (sin y) y)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.056 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.056 * [taylor]: Taking taylor expansion of (sin y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.057 * [taylor]: Taking taylor expansion of (sin y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.065 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.065 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.065 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.065 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.069 * [taylor]: Taking taylor expansion of -1 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 -1 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 (* -1 (* (sin (/ -1 y)) y)) in y 0.070 * [taylor]: Taking taylor expansion of -1 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 -1 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.081 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.081 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (sin y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.086 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (sin y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.089 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (sin y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.091 * [taylor]: Taking taylor expansion of (sin y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.110 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.110 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.111 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.111 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.112 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.112 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.112 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.124 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.124 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.124 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.124 * [taylor]: Taking taylor expansion of -1 in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.124 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.124 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.125 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.125 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.125 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.125 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * [progress]: simplifying candidates 0.137 * [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)) (- (+ (* 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) 0.142 * * [simplify]: iteration 0 : 218 enodes (cost 334 ) 0.147 * * [simplify]: iteration 1 : 998 enodes (cost 302 ) 0.167 * * [simplify]: iteration 2 : 5001 enodes (cost 302 ) 0.170 * [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))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* 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 (* x (sin y)) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* x (sin y)) (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)) 0.170 * * * [progress]: adding candidates to table 0.286 * * [progress]: iteration 2 / 4 0.286 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.316 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.331 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.343 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 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 0.344 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.344 * [taylor]: Taking taylor expansion of (sin y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.351 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.351 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.351 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.351 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.355 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.355 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.356 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.356 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.367 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.367 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.367 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (sin y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.368 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (sin y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.370 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sin y) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.372 * [taylor]: Taking taylor expansion of (sin y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.395 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.395 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.396 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.397 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.408 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.408 * [taylor]: Taking taylor expansion of -1 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.410 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.410 * [taylor]: Taking taylor expansion of -1 in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.410 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.410 * [taylor]: Taking taylor expansion of -1 in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.422 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.422 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (sin y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (sin y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.430 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.430 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.436 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.436 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.436 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.437 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.437 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.443 * * * [progress]: simplifying candidates 0.445 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ y (sin y)))) (log1p (/ 1 (/ y (sin y)))) (- 1) (- (- (log y) (log (sin y)))) (- (log (/ y (sin y)))) (- 0 (- (log y) (log (sin y)))) (- 0 (log (/ y (sin y)))) (- (log 1) (- (log y) (log (sin y)))) (- (log 1) (log (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y)))) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (- 1) (- (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt 1) (cbrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y)))) (/ (cbrt 1) (sqrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ y (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y)))) (/ (cbrt 1) (/ y (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (sin y))) (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt 1) (cbrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (sin y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) 1)) (/ (sqrt 1) (/ (sqrt y) (sin y))) (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ y (cbrt (sin y)))) (/ (sqrt 1) (/ 1 (sqrt (sin y)))) (/ (sqrt 1) (/ y (sqrt (sin y)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) y) (/ (sqrt 1) (/ 1 (sin y))) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (cbrt y) (cbrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (cbrt y) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (cbrt y) (sin y))) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ (sqrt y) (sin y))) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ y (cbrt (sin y)))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ y (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 (/ y (sin y))) (/ 1 1) (/ 1 (/ y (sin y))) (/ 1 y) (/ 1 (/ 1 (sin y))) (/ 1 (/ y (sin y))) (/ (/ y (sin y)) 1) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 y) (/ (/ y (sin y)) (cbrt 1)) (/ (/ y (sin y)) (sqrt 1)) (/ (/ y (sin y)) 1) (/ 1 y) (expm1 (* x (/ 1 (/ y (sin y))))) (log1p (* x (/ 1 (/ y (sin y))))) (* x (/ 1 (/ y (sin y)))) (+ (log x) (- (- (log y) (log (sin y))))) (+ (log x) (- (log (/ y (sin y))))) (+ (log x) (- 0 (- (log y) (log (sin y))))) (+ (log x) (- 0 (log (/ y (sin y))))) (+ (log x) (- (log 1) (- (log y) (log (sin y))))) (+ (log x) (- (log 1) (log (/ y (sin y))))) (+ (log x) (log (/ 1 (/ y (sin y))))) (log (* x (/ 1 (/ y (sin y))))) (exp (* x (/ 1 (/ y (sin y))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))))) (* (* (* x x) x) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y))))) (* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y)))))) (cbrt (* x (/ 1 (/ y (sin y))))) (* (* (* x (/ 1 (/ y (sin y)))) (* x (/ 1 (/ y (sin y))))) (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt x) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt x) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* x (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* x (sqrt (/ 1 (/ y (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) y)) (* x (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ (sqrt 1) (sqrt (/ y (sin y))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* x (/ (sqrt 1) (/ (sqrt y) 1))) (* x (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ 1 (sqrt (sin y))))) (* x (/ (sqrt 1) (/ 1 1))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) y)) (* x (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ 1 (sqrt (/ y (sin y))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* x (/ 1 (/ (sqrt y) 1))) (* x (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ 1 (sqrt (sin y))))) (* x (/ 1 (/ 1 1))) (* x (/ 1 1)) (* x (/ 1 y)) (* x 1) (* x 1) (* x (/ 1 y)) (* (cbrt x) (/ 1 (/ y (sin y)))) (* (sqrt x) (/ 1 (/ y (sin y)))) (* x (/ 1 (/ y (sin y)))) (* x 1) (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) (- (+ (* 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) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) 0.454 * * [simplify]: iteration 0 : 576 enodes (cost 1226 ) 0.466 * * [simplify]: iteration 1 : 2906 enodes (cost 1067 ) 0.507 * * [simplify]: iteration 2 : 5001 enodes (cost 946 ) 0.512 * [simplify]: Simplified to: (expm1 (/ 1 (/ y (sin y)))) (log1p (/ 1 (/ y (sin y)))) (- 1) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (/ 1 (pow (/ y (sin y)) 3)) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (- 1) (- (/ y (sin y))) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (sin y) y) (/ y (sin y)) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (sqrt (sin y)) 1 1 (/ 1 y) (/ y (sin y)) (/ y (sin y)) (/ y (sin y)) (/ 1 y) (expm1 (* x (/ 1 (/ y (sin y))))) (log1p (* x (/ 1 (/ y (sin y))))) (/ x (/ y (sin y))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (pow (exp x) (/ (sin y) y)) (pow (/ x (/ y (sin y))) 3) (pow (/ x (/ y (sin y))) 3) (pow (/ x (/ y (sin y))) 3) (* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y)))))) (cbrt (* x (/ 1 (/ y (sin y))))) (pow (/ x (/ y (sin y))) 3) (sqrt (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* x (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* x (sqrt (/ 1 (/ y (sin y))))) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) x x (/ x y) (/ (cbrt x) (/ y (sin y))) (/ (sqrt x) (/ y (sin y))) (/ x (/ y (sin y))) x (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) (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 (/ y (sin y))) (/ x (/ y (sin y))) (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) 0.513 * * * [progress]: adding candidates to table 0.756 * * [progress]: iteration 3 / 4 0.756 * * * [progress]: picking best candidate 0.769 * * * * [pick]: Picked # 0.769 * * * [progress]: localizing error 0.774 * * * [progress]: generating rewritten candidates 0.774 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.777 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.787 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.787 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (sin y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (sin y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.795 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.795 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.795 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.796 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.796 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.801 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.801 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.801 * [taylor]: Taking taylor expansion of -1 in y 0.801 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.801 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.801 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.802 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.802 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.808 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.808 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.808 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.808 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (sin y) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.809 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (sin y) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.811 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (sin y) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.813 * [taylor]: Taking taylor expansion of (sin y) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.832 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.832 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.833 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.833 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.833 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.833 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.834 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.848 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.848 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.848 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.848 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.848 * [taylor]: Taking taylor expansion of -1 in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.849 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.849 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.849 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.849 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.850 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.850 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.850 * [taylor]: Taking taylor expansion of -1 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.861 * * * [progress]: simplifying candidates 0.862 * [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) (+ (* 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) 0.868 * * [simplify]: iteration 0 : 371 enodes (cost 723 ) 0.875 * * [simplify]: iteration 1 : 1637 enodes (cost 687 ) 0.902 * * [simplify]: iteration 2 : 5001 enodes (cost 686 ) 0.906 * [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) (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) 0.906 * * * [progress]: adding candidates to table 1.086 * * [progress]: iteration 4 / 4 1.086 * * * [progress]: picking best candidate 1.096 * * * * [pick]: Picked # 1.096 * * * [progress]: localizing error 1.103 * * * [progress]: generating rewritten candidates 1.103 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.112 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.147 * * * [progress]: generating series expansions 1.147 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.148 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 1.148 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (sin y) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (sin y) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.157 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 1.157 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 1.157 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.157 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 1.157 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.157 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.163 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 1.163 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 1.163 * [taylor]: Taking taylor expansion of -1 in y 1.163 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.163 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.163 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.163 * [taylor]: Taking taylor expansion of -1 in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 1.164 * [taylor]: Taking taylor expansion of -1 in y 1.164 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.164 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.164 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.164 * [taylor]: Taking taylor expansion of -1 in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.170 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.171 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 1.171 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 1.171 * [taylor]: Taking taylor expansion of (sin y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 1.171 * [taylor]: Taking taylor expansion of (sin y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.178 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 1.178 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.178 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.179 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.183 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 1.183 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 1.183 * [taylor]: Taking taylor expansion of -1 in y 1.183 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.183 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.183 * [taylor]: Taking taylor expansion of -1 in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 1.184 * [taylor]: Taking taylor expansion of -1 in y 1.184 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.184 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.184 * [taylor]: Taking taylor expansion of -1 in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.195 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.195 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 1.195 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 1.195 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 1.195 * [taylor]: Taking taylor expansion of x in y 1.195 * [taylor]: Taking taylor expansion of (sin y) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.196 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (sin y) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.198 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (sin y) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 1.200 * [taylor]: Taking taylor expansion of (sin y) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.213 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.224 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 1.224 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.226 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 1.237 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 1.237 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.237 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.237 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.237 * [taylor]: Taking taylor expansion of -1 in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.238 * [taylor]: Taking taylor expansion of x in y 1.238 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.238 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.238 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.238 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.238 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.239 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.239 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.239 * [taylor]: Taking taylor expansion of -1 in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.245 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.250 * * * [progress]: simplifying candidates 1.255 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (sin y) y))) (log1p (/ 1 (/ (sin y) y))) (- 1) (- (- (log (sin y)) (log y))) (- (log (/ (sin y) y))) (- 0 (- (log (sin y)) (log y))) (- 0 (log (/ (sin y) y))) (- (log 1) (- (log (sin y)) (log y))) (- (log 1) (log (/ (sin y) y))) (log (/ 1 (/ (sin y) y))) (exp (/ 1 (/ (sin y) y))) (/ (* (* 1 1) 1) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y))) (* (cbrt (/ 1 (/ (sin y) y))) (cbrt (/ 1 (/ (sin y) y)))) (cbrt (/ 1 (/ (sin y) y))) (* (* (/ 1 (/ (sin y) y)) (/ 1 (/ (sin y) y))) (/ 1 (/ (sin y) y))) (sqrt (/ 1 (/ (sin y) y))) (sqrt (/ 1 (/ (sin y) y))) (- 1) (- (/ (sin y) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (/ (cbrt 1) (cbrt (/ (sin y) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sin y) y))) (/ (cbrt 1) (sqrt (/ (sin y) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (sin y)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (sin y)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (/ (cbrt 1) (/ (cbrt (sin y)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (sin y)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin y)) (sqrt y))) (/ (cbrt 1) (/ (sqrt (sin y)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin y)) 1)) (/ (cbrt 1) (/ (sqrt (sin y)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sin y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (sin y) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sin y) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sin y) y)) (/ (* (cbrt 1) (cbrt 1)) (sin y)) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (/ (sqrt 1) (cbrt (/ (sin y) y))) (/ (sqrt 1) (sqrt (/ (sin y) y))) (/ (sqrt 1) (sqrt (/ (sin y) y))) (/ (sqrt 1) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (sin y)) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (sin y)) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (/ (sqrt 1) (/ (cbrt (sin y)) y)) (/ (sqrt 1) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (sin y)) (cbrt y))) (/ (sqrt 1) (/ (sqrt (sin y)) (sqrt y))) (/ (sqrt 1) (/ (sqrt (sin y)) (sqrt y))) (/ (sqrt 1) (/ (sqrt (sin y)) 1)) (/ (sqrt 1) (/ (sqrt (sin y)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sin y) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (sin y) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sin y) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sin y) y)) (/ (sqrt 1) (sin y)) (/ (sqrt 1) (/ 1 y)) (/ 1 (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (/ 1 (cbrt (/ (sin y) y))) (/ 1 (sqrt (/ (sin y) y))) (/ 1 (sqrt (/ (sin y) y))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (sin y)) (cbrt y))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (/ 1 (/ (cbrt (sin y)) (sqrt y))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (/ 1 (/ (cbrt (sin y)) y)) (/ 1 (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (sin y)) (cbrt y))) (/ 1 (/ (sqrt (sin y)) (sqrt y))) (/ 1 (/ (sqrt (sin y)) (sqrt y))) (/ 1 (/ (sqrt (sin y)) 1)) (/ 1 (/ (sqrt (sin y)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (sin y) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (sin y) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (sin y) y)) (/ 1 1) (/ 1 (/ (sin y) y)) (/ 1 (sin y)) (/ 1 (/ 1 y)) (/ 1 (/ (sin y) y)) (/ (/ (sin y) y) 1) (/ 1 (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (/ 1 (sqrt (/ (sin y) y))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (/ 1 (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (/ 1 (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (sin y)) (sqrt y))) (/ 1 (/ (sqrt (sin y)) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (sin y)) (/ (/ (sin y) y) (cbrt 1)) (/ (/ (sin y) y) (sqrt 1)) (/ (/ (sin y) y) 1) (/ 1 (sin y)) (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)) 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(cbrt (/ (sin y) y)))) (/ (sqrt (/ (sin y) y)) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (sqrt (/ (sin y) y)))) (/ (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (cbrt (sin y)) (cbrt y)))) (/ (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (cbrt (sin y)) (sqrt y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (cbrt (sin y)) y))) (/ (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (sqrt (sin y)) (cbrt y)))) (/ (/ (sqrt (sin y)) (sqrt y)) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (sqrt (sin y)) (sqrt y)))) (/ (sqrt (sin y)) (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (sqrt (sin y)) y))) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt 1) (/ (sin y) (cbrt y)))) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (sqrt y)) (/ x (/ (cbrt 1) (/ (sin y) (sqrt y)))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (sin y) y))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ x (/ (cbrt 1) (/ (sin y) y))) (/ (sin y) (* (cbrt 1) (cbrt 1))) (/ (/ x y) (cbrt 1)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* x (cbrt (/ (sin y) y))) (sqrt (/ (sin y) y)) (* x (sqrt (/ (sin y) y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* x (/ (cbrt (sin y)) (cbrt y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (* x (/ (cbrt (sin y)) (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y))) (* x (/ (cbrt (sin y)) y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (* x (/ (sqrt (sin y)) (cbrt y))) (/ (sqrt (sin y)) (sqrt y)) (* x (/ (sqrt (sin y)) (sqrt y))) (sqrt (sin y)) (* x (/ (sqrt (sin y)) y)) (/ 1 (* (cbrt y) (cbrt y))) (* x (/ (sin y) (cbrt y))) (/ 1 (sqrt y)) (* x (/ (sin y) (sqrt y))) 1 (* x (/ (sin y) y)) 1 (* x (/ (sin y) y)) (sin y) (/ x y) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* x (cbrt (/ (sin y) y))) (sqrt (/ (sin y) y)) (* x (sqrt (/ (sin y) y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* x (/ (cbrt (sin y)) (cbrt y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (* x (/ (cbrt (sin y)) (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y))) (* x (/ (cbrt (sin y)) y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (* x (/ (sqrt (sin y)) (cbrt y))) (/ (sqrt (sin y)) (sqrt y)) (* x (/ (sqrt (sin y)) (sqrt y))) (sqrt (sin y)) (* x (/ (sqrt (sin y)) y)) (/ 1 (* (cbrt y) (cbrt y))) (* x (/ (sin y) (cbrt y))) (/ 1 (sqrt y)) (* x (/ (sin y) (sqrt y))) 1 (* x (/ (sin y) y)) 1 (* x (/ (sin y) y)) (sin y) (/ x y) 1 (* x (/ (sin y) y)) 1 (* x (/ (sin y) y)) (sin y) (/ x y) (/ (sin y) y) (/ (/ 1 (/ (sin y) y)) x) (/ x (* (cbrt (/ 1 (/ (sin y) y))) (cbrt (/ 1 (/ (sin y) y))))) (/ x (sqrt (/ 1 (/ (sin y) y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sin y) y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)))) (* (/ x (* (cbrt 1) (cbrt 1))) (* (cbrt (sin y)) (cbrt (sin y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin y)) (sqrt y)))) (* (/ x (* (cbrt 1) (cbrt 1))) (sqrt (sin y))) (/ (/ x (* (cbrt 1) (cbrt 1))) (* (cbrt y) (cbrt y))) (/ (/ x (* (cbrt 1) (cbrt 1))) (sqrt y)) (/ x (* (cbrt 1) (cbrt 1))) (/ x (* (cbrt 1) (cbrt 1))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sin 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))) (* x (sqrt (sin y))) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (* x (sin 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))) (* x (sqrt (sin y))) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (* x (sin y)) x x (* x (sin y)) (/ (/ 1 (/ (sin y) y)) (cbrt x)) (/ (/ y (sin y)) (sqrt x)) (/ (/ 1 (/ (sin y) y)) x) x (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) (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)) 1.307 * * * [progress]: adding candidates to table 1.763 * [progress]: [Phase 3 of 3] Extracting. 1.763 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.764 * * * [regime-changes]: Trying 4 branch expressions: ((/ (sin y) y) (* x (/ (sin y) y)) y x) 1.764 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # # #) 1.789 * * * * [regimes]: Trying to branch on (* x (/ (sin y) y)) from (# # # # # # #) 1.812 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.835 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.858 * * * [regime]: Found split indices: #