13.417 * [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. 0.029 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.031 * * [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 ) 0.036 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.036 * [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 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [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 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.066 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.070 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.071 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.071 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.083 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.083 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.083 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of (sin y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.084 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sin y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.091 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (sin y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.094 * [taylor]: Taking taylor expansion of (sin y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.114 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.115 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.115 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.115 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.115 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.116 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.128 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.128 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.128 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.129 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.129 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.129 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.129 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.130 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.130 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.130 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * * * [progress]: simplifying candidates 0.142 * [simplify]: Simplifying using # : (- (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)) (neg (sin y)) (neg 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 (/ (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) 0.146 * * [simplify]: iteration 0 : 213 enodes (cost 320 ) 0.151 * * [simplify]: iteration 1 : 988 enodes (cost 289 ) 0.172 * * [simplify]: iteration 2 : 5001 enodes (cost 289 ) 0.174 * [simplify]: Simplified to: (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)) (neg (sin y)) (neg 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 (/ (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)) (- (+ (* 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)) 0.174 * * * [progress]: adding candidates to table 0.285 * * [progress]: iteration 2 / 4 0.285 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.309 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.319 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.319 * [taylor]: Taking taylor expansion of (sin y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.320 * [taylor]: Taking taylor expansion of (sin y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.330 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.330 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.330 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.331 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.335 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.335 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.335 * [taylor]: Taking taylor expansion of -1 in y 0.335 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.335 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.336 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.336 * [taylor]: Taking taylor expansion of -1 in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.336 * [taylor]: Taking taylor expansion of -1 in y 0.336 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.336 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.336 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.336 * [taylor]: Taking taylor expansion of -1 in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.347 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.347 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.348 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (sin y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.348 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (sin y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.350 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (sin y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.352 * [taylor]: Taking taylor expansion of (sin y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.372 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.372 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.372 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.372 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.373 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.373 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.373 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.385 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.385 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.385 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.387 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.387 * [taylor]: Taking taylor expansion of -1 in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * * * [progress]: simplifying candidates 0.399 * [simplify]: Simplifying using # : (* (sin y) (/ 1 y)) (+ (log (sin y)) (neg (log y))) (+ (log (sin y)) (- 0 (log y))) (+ (log (sin y)) (- (log 1) (log y))) (+ (log (sin y)) (log (/ 1 y))) (log (* (sin y) (/ 1 y))) (exp (* (sin y) (/ 1 y))) (* (* (* (sin y) (sin y)) (sin y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (sin y) (sin y)) (sin y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))) (* (* (* (sin y) (/ 1 y)) (* (sin y) (/ 1 y))) (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (sin y)) (/ 1 (sqrt y))) (* (sqrt (sin y)) (/ 1 (sqrt y))) (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (sin y) (sqrt (/ 1 y))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (sin y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (sin y) (/ (sqrt 1) (sqrt y))) (* (sin y) (/ (sqrt 1) 1)) (* (sin y) (/ 1 (* (cbrt y) (cbrt y)))) (* (sin y) (/ 1 (sqrt y))) (* (sin y) (/ 1 1)) (* (sin y) 1) (* (sin y) 1) (* (cbrt (sin y)) (/ 1 y)) (* (sqrt (sin y)) (/ 1 y)) (* (sin y) (/ 1 y)) (* (sin y) 1) (* x (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y))) (+ (log x) (+ (log (sin y)) (neg (log y)))) (+ (log x) (+ (log (sin y)) (- 0 (log y)))) (+ (log x) (+ (log (sin y)) (- (log 1) (log y)))) (+ (log x) (+ (log (sin y)) (log (/ 1 y)))) (+ (log x) (log (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (exp (* x (* (sin y) (/ 1 y)))) (* (* (* x x) x) (* (* (* (sin y) (sin y)) (sin y)) (/ (* (* 1 1) 1) (* (* y y) y)))) (* (* (* x x) x) (* (* (* (sin y) (sin y)) (sin y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y)))) (* (* (* x x) x) (* (* (* (sin y) (/ 1 y)) (* (sin y) (/ 1 y))) (* (sin y) (/ 1 y)))) (* (cbrt (* x (* (sin y) (/ 1 y)))) (cbrt (* x (* (sin y) (/ 1 y))))) (cbrt (* x (* (sin y) (/ 1 y)))) (* (* (* x (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y)))) (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (* x (sin y)) (* (cbrt x) (* (sin y) (/ 1 y))) (* (sqrt x) (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y))) (* x (sin y)) (* x (* (sin y) 1)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.403 * * [simplify]: iteration 0 : 282 enodes (cost 337 ) 0.409 * * [simplify]: iteration 1 : 1251 enodes (cost 269 ) 0.434 * * [simplify]: iteration 2 : 5001 enodes (cost 252 ) 0.440 * [simplify]: Simplified to: (/ (sin y) y) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (exp (* (sin y) (/ 1 y))) (pow (/ (sin y) y) 3) (pow (/ (sin y) y) 3) (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))) (pow (/ (sin y) y) 3) (sqrt (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (sin y) (sqrt (/ 1 y))) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (sin y) (sin y) (* (cbrt (sin y)) (/ 1 y)) (* (sqrt (sin y)) (/ 1 y)) (/ (sin y) y) (sin y) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (pow (exp (/ x y)) (sin y)) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (* (cbrt (* x (* (sin y) (/ 1 y)))) (cbrt (* x (* (sin y) (/ 1 y))))) (cbrt (* x (* (sin y) (/ 1 y)))) (pow (* (/ (sin y) y) x) 3) (sqrt (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (* (sin y) x) (* (/ (sin y) y) (cbrt x)) (* (/ (sin y) y) (sqrt x)) (* (/ (sin y) y) x) (* (sin y) x) (* (sin y) x) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* (/ (sin y) y) x) (* (/ (sin y) y) x) 0.440 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 3 / 4 0.520 * * * [progress]: picking best candidate 0.529 * * * * [pick]: Picked # 0.529 * * * [progress]: localizing error 0.536 * * * [progress]: generating rewritten candidates 0.536 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.542 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.556 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.567 * * * [progress]: generating series expansions 0.567 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.567 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.568 * [taylor]: Taking taylor expansion of (sin y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.568 * [taylor]: Taking taylor expansion of (sin y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.580 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.580 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.580 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.580 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.586 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.586 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.586 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.586 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.586 * [taylor]: Taking taylor expansion of -1 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.598 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.598 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.598 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of (sin y) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.599 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (sin y) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.601 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sin y) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.603 * [taylor]: Taking taylor expansion of (sin y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.622 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.622 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.623 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.623 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.623 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.635 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.635 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.635 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.635 * [taylor]: Taking taylor expansion of -1 in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.636 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.636 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.636 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.636 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.637 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.637 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.637 * [taylor]: Taking taylor expansion of -1 in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.648 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.648 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.648 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (sin y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (sin y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.656 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.656 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.656 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.656 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.657 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.657 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.668 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.668 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.668 * [taylor]: Taking taylor expansion of -1 in y 0.668 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.668 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.668 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.668 * [taylor]: Taking taylor expansion of -1 in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.669 * [taylor]: Taking taylor expansion of -1 in y 0.669 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.669 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.669 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.669 * [taylor]: Taking taylor expansion of -1 in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.675 * * * [progress]: simplifying candidates 0.677 * [simplify]: Simplifying using # : (neg 1) (neg (- (log y) (log (sin y)))) (neg (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)))) (neg 1) (neg (/ 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) (* x (/ 1 (/ y (sin y)))) (+ (log x) (neg (- (log y) (log (sin y))))) (+ (log x) (neg (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) (- (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))) (neg y) (neg (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)) 0.685 * * [simplify]: iteration 0 : 567 enodes (cost 1202 ) 0.697 * * [simplify]: iteration 1 : 2885 enodes (cost 1044 ) 0.736 * * [simplify]: iteration 2 : 5001 enodes (cost 923 ) 0.742 * [simplify]: Simplified to: -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 (neg (/ 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) (/ 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 (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))) (neg y) (neg (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) (- (+ (* 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 (/ y (sin y))) (/ x (/ y (sin y))) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) 0.743 * * * [progress]: adding candidates to table 0.989 * * [progress]: iteration 4 / 4 0.989 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 1.002 * * * [progress]: generating rewritten candidates 1.003 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.007 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.012 * * * [progress]: generating series expansions 1.012 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.012 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 1.012 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 1.012 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (sin y) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.013 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sin y) in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.015 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (sin y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 1.018 * [taylor]: Taking taylor expansion of (sin y) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 1.037 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.039 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 1.050 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.050 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.050 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.050 * [taylor]: Taking taylor expansion of -1 in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.052 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.052 * [taylor]: Taking taylor expansion of -1 in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.064 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.064 * [approximate]: Taking taylor expansion of (* x (sin y)) in (x y) around 0 1.064 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [taylor]: Taking taylor expansion of (sin y) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (sin y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (sin y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [taylor]: Taking taylor expansion of (sin y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in (x y) around 0 1.076 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in y 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of x in y 1.077 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [approximate]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in (x y) around 0 1.092 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in y 1.092 * [taylor]: Taking taylor expansion of -1 in y 1.092 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in y 1.092 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.092 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.093 * [taylor]: Taking taylor expansion of -1 in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 1.093 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 1.093 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (* -1 (sin (/ -1 y))) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.094 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.105 * [taylor]: Taking taylor expansion of 0 in y 1.106 * * * [progress]: simplifying candidates 1.106 * [simplify]: Simplifying using # : (- (+ (log x) (log (sin y))) (log y)) (- (log (* x (sin y))) (log y)) (log (/ (* x (sin y)) y)) (exp (/ (* x (sin y)) y)) (/ (* (* (* x x) x) (* (* (sin y) (sin y)) (sin y))) (* (* y y) y)) (/ (* (* (* x (sin y)) (* x (sin y))) (* x (sin y))) (* (* y 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)) (neg (* x (sin y))) (neg y) (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ x (sqrt y)) (/ (sin y) (sqrt y)) (/ x 1) (/ (sin y) y) (/ 1 y) (/ y (* x (sin y))) (/ (* x (sin y)) (* (cbrt y) (cbrt y))) (/ (* x (sin y)) (sqrt y)) (/ (* x (sin y)) 1) (/ y (sin y)) (* x (sin y)) (+ (log x) (log (sin y))) (log (* x (sin y))) (exp (* x (sin y))) (* (* (* x x) x) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y))) (* (* (* x (sin y)) (* x (sin y))) (* x (sin y))) (sqrt (* x (sin y))) (sqrt (* x (sin y))) (* (sqrt x) (sqrt (sin y))) (* (sqrt x) (sqrt (sin y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) (* x 1) (* (cbrt x) (sin y)) (* (sqrt x) (sin y)) (* x (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) (* x y) (* x (sin y)) (* x (sin y)) 1.110 * * [simplify]: iteration 0 : 154 enodes (cost 189 ) 1.113 * * [simplify]: iteration 1 : 799 enodes (cost 158 ) 1.133 * * [simplify]: iteration 2 : 5001 enodes (cost 158 ) 1.135 * [simplify]: Simplified to: (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)) (neg (* x (sin y))) (neg y) (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ x (sqrt y)) (/ (sin y) (pow y 1/2)) x (/ (sin y) y) (/ 1 y) (/ y (* x (sin y))) (/ (* x (sin y)) (* (cbrt y) (cbrt y))) (/ (* x (sin y)) (sqrt y)) (* x (sin y)) (/ y (sin y)) (* x (sin y)) (log (* x (sin y))) (log (* x (sin y))) (exp (* x (sin y))) (pow (* x (sin y)) 3) (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y))) (pow (* x (sin y)) 3) (sqrt (* x (sin y))) (sqrt (* x (sin y))) (* (sqrt x) (sqrt (sin y))) (* (sqrt x) (sqrt (sin y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) x (* (cbrt x) (sin y)) (* (sqrt x) (sin y)) (* x (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) (* x y) (* x (sin y)) (* x (sin y)) 1.135 * * * [progress]: adding candidates to table 1.195 * [progress]: [Phase 3 of 3] Extracting. 1.195 * * [regime]: Finding splitpoints for: (# # # # #) 1.195 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.195 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.212 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.233 * * * [regime]: Found split indices: #