32.699 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.037 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.039 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.040 * * [simplify]: iteration 2 : 16 enodes (cost 3 ) 0.041 * * [simplify]: iteration 3 : 17 enodes (cost 3 ) 0.042 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.043 * [simplify]: Simplified to: (* x (/ (sin y) y)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.073 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.074 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (sin y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.075 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (sin y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.077 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (sin y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.079 * [taylor]: Taking taylor expansion of (sin y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.097 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.097 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.098 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.099 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.099 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.099 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.113 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.113 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.113 * [taylor]: Taking taylor expansion of -1 in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.114 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.114 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.114 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.114 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.115 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.115 * [taylor]: Taking taylor expansion of -1 in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.125 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.126 * [taylor]: Taking taylor expansion of (sin y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.126 * [taylor]: Taking taylor expansion of (sin y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.133 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.133 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.133 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.133 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.138 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.138 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.138 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.138 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.148 * * * [progress]: simplifying candidates 0.149 * [simplify]: Simplifying using # : (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)) (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)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) 0.154 * * [simplify]: iteration 0 : 218 enodes (cost 334 ) 0.159 * * [simplify]: iteration 1 : 998 enodes (cost 302 ) 0.180 * * [simplify]: iteration 2 : 5001 enodes (cost 302 ) 0.182 * [simplify]: Simplified to: (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)) (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)) (- x (* 1/6 (* x (pow y 2)))) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) 0.182 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.309 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.338 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.369 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.385 * * * [progress]: generating series expansions 0.385 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.385 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.385 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.385 * [taylor]: Taking taylor expansion of (sin y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.386 * [taylor]: Taking taylor expansion of (sin y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.393 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.398 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.398 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.398 * [taylor]: Taking taylor expansion of -1 in y 0.398 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.398 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.398 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.399 * [taylor]: Taking taylor expansion of -1 in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.399 * [taylor]: Taking taylor expansion of -1 in y 0.399 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.399 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.399 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.399 * [taylor]: Taking taylor expansion of -1 in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.409 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.409 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.409 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (sin y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.410 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sin y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.412 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (sin y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.414 * [taylor]: Taking taylor expansion of (sin y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.445 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.445 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.445 * [taylor]: Taking taylor expansion of -1 in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.447 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.447 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.447 * [taylor]: Taking taylor expansion of -1 in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.461 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.462 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (sin y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (sin y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.469 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.469 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.469 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.470 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.470 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.475 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.475 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.476 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.476 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.482 * * * [progress]: simplifying candidates 0.485 * [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)) 0.493 * * [simplify]: iteration 0 : 576 enodes (cost 1226 ) 0.505 * * [simplify]: iteration 1 : 2906 enodes (cost 1067 ) 0.544 * * [simplify]: iteration 2 : 5001 enodes (cost 946 ) 0.549 * [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)) 0.550 * * * [progress]: adding candidates to table 0.858 * * [progress]: iteration 3 / 4 0.858 * * * [progress]: picking best candidate 0.865 * * * * [pick]: Picked # 0.865 * * * [progress]: localizing error 0.871 * * * [progress]: generating rewritten candidates 0.871 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.876 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.890 * * * [progress]: generating series expansions 0.890 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.890 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.890 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of (sin y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (sin y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.898 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.898 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.902 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.902 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.908 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.908 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.908 * [taylor]: Taking taylor expansion of -1 in y 0.908 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.908 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.908 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.908 * [taylor]: Taking taylor expansion of -1 in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.908 * [taylor]: Taking taylor expansion of -1 in y 0.908 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.909 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.909 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.909 * [taylor]: Taking taylor expansion of -1 in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.914 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.914 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.914 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of (sin 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 (/ (* x (sin y)) y) in x 0.915 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (sin y) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.917 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (sin y) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.919 * [taylor]: Taking taylor expansion of (sin y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.937 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.937 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.937 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.938 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.938 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.939 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.950 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.950 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.950 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.950 * [taylor]: Taking taylor expansion of -1 in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.951 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.952 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.952 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.952 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.952 * [taylor]: Taking taylor expansion of -1 in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.963 * * * [progress]: simplifying candidates 0.964 * [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) 0.970 * * [simplify]: iteration 0 : 371 enodes (cost 723 ) 0.978 * * [simplify]: iteration 1 : 1637 enodes (cost 687 ) 1.006 * * [simplify]: iteration 2 : 5001 enodes (cost 686 ) 1.009 * [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) 1.010 * * * [progress]: adding candidates to table 1.226 * * [progress]: iteration 4 / 4 1.226 * * * [progress]: picking best candidate 1.231 * * * * [pick]: Picked # 1.231 * * * [progress]: localizing error 1.242 * * * [progress]: generating rewritten candidates 1.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.244 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.257 * * * [progress]: generating series expansions 1.258 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.258 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.258 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.258 * [taylor]: Taking taylor expansion of 1/3 in x 1.258 * [taylor]: Taking taylor expansion of (log x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.259 * [taylor]: Taking taylor expansion of 1/3 in x 1.259 * [taylor]: Taking taylor expansion of (log x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.310 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1/3 in x 1.310 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of 1/3 in x 1.311 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.361 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.361 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.361 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.361 * [taylor]: Taking taylor expansion of -1 in x 1.362 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.362 * [taylor]: Taking taylor expansion of 1/3 in x 1.362 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.363 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of 1/3 in x 1.363 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.428 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.428 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.428 * [taylor]: Taking taylor expansion of 1/3 in x 1.428 * [taylor]: Taking taylor expansion of (log x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.429 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.429 * [taylor]: Taking taylor expansion of 1/3 in x 1.429 * [taylor]: Taking taylor expansion of (log x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.479 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.479 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.479 * [taylor]: Taking taylor expansion of 1/3 in x 1.479 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.480 * [taylor]: Taking taylor expansion of 1/3 in x 1.480 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.529 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.529 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.529 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.529 * [taylor]: Taking taylor expansion of -1 in x 1.530 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.530 * [taylor]: Taking taylor expansion of 1/3 in x 1.530 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.530 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.531 * [taylor]: Taking taylor expansion of -1 in x 1.531 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of 1/3 in x 1.531 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.598 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.599 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.599 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.599 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.599 * [taylor]: Taking taylor expansion of 1/3 in x 1.599 * [taylor]: Taking taylor expansion of (log x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.599 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.599 * [taylor]: Taking taylor expansion of 1/3 in x 1.599 * [taylor]: Taking taylor expansion of (log x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.653 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.654 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.654 * [taylor]: Taking taylor expansion of 1/3 in x 1.654 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of 1/3 in x 1.655 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.711 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.711 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.711 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.711 * [taylor]: Taking taylor expansion of -1 in x 1.712 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.712 * [taylor]: Taking taylor expansion of 1/3 in x 1.712 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.713 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.713 * [taylor]: Taking taylor expansion of -1 in x 1.713 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.714 * [taylor]: Taking taylor expansion of 1/3 in x 1.714 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.774 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.780 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.781 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.781 * [taylor]: Taking taylor expansion of 1/3 in x 1.781 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.782 * [taylor]: Taking taylor expansion of 1/3 in x 1.782 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.833 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.833 * [taylor]: Taking taylor expansion of 1/3 in x 1.833 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.834 * [taylor]: Taking taylor expansion of 1/3 in x 1.834 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.895 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.895 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.895 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.895 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.896 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.896 * [taylor]: Taking taylor expansion of 1/3 in x 1.896 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.897 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.897 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.897 * [taylor]: Taking taylor expansion of -1 in x 1.897 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.897 * [taylor]: Taking taylor expansion of 1/3 in x 1.897 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.975 * * * [progress]: simplifying candidates 1.976 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.980 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.984 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.998 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.063 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.065 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.065 * * * [progress]: adding candidates to table 2.271 * [progress]: [Phase 3 of 3] Extracting. 2.272 * * [regime]: Finding splitpoints for: (# # # # #) 2.272 * * * [regime-changes]: Trying 4 branch expressions: ((/ (sin y) y) (* x (/ (sin y) y)) y x) 2.272 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # #) 2.294 * * * * [regimes]: Trying to branch on (* x (/ (sin y) y)) from (# # # # #) 2.314 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.333 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.350 * * * [regime]: Found split indices: #