15.104 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) 2.0) 0.079 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.080 * * [simplify]: iteration 1 : 23 enodes (cost 5 ) 0.082 * * [simplify]: iteration 2 : 31 enodes (cost 5 ) 0.083 * * [simplify]: iteration 3 : 36 enodes (cost 5 ) 0.084 * * [simplify]: iteration 4 : 41 enodes (cost 5 ) 0.086 * * [simplify]: iteration 5 : 65 enodes (cost 5 ) 0.088 * * [simplify]: iteration 6 : 108 enodes (cost 5 ) 0.090 * * [simplify]: iteration 7 : 267 enodes (cost 5 ) 0.099 * * [simplify]: iteration 8 : 1342 enodes (cost 5 ) 0.302 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.303 * [simplify]: Simplified to: (/ (- (exp x) (exp (- x))) 2.0) 0.304 * * [progress]: iteration 1 / 4 0.304 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.321 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.321 * [taylor]: Taking taylor expansion of (exp x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.321 * [taylor]: Taking taylor expansion of (- x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.322 * [taylor]: Taking taylor expansion of (exp x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.322 * [taylor]: Taking taylor expansion of (- x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.349 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.353 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.358 * * * [progress]: simplifying candidates 0.359 * [simplify]: Simplifying using # : (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma 1 (exp x) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma 1 (exp x) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (expm1 (- (exp x) (exp (- x)))) (log1p (- (exp x) (exp (- x)))) (- (exp (- x))) (- (exp (- x))) (- (exp (- x))) (/ (exp (exp x)) (exp (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (* -1 x))) 0.363 * * [simplify]: iteration 0 : 158 enodes (cost 354 ) 0.366 * * [simplify]: iteration 1 : 416 enodes (cost 228 ) 0.377 * * [simplify]: iteration 2 : 2421 enodes (cost 226 ) 0.473 * * [simplify]: iteration 3 : 5002 enodes (cost 203 ) 0.475 * [simplify]: Simplified to: (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (- (exp x) (exp (- x))) (* (exp (- x)) (+ (- 1) 1)) (expm1 (- (exp x) (exp (- x)))) (log1p (- (exp x) (exp (- x)))) (- (exp (- x))) (- (exp (- x))) (- (exp (- x))) (exp (- (exp x) (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (pow (- (exp x) (exp (* -1 x))) 3) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ 1 (exp (+ x x))) (pow (exp x) -2)) (- (exp (- x))) (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) 0.475 * * * [progress]: adding candidates to table 0.534 * * [progress]: iteration 2 / 4 0.534 * * * [progress]: picking best candidate 0.541 * * * * [pick]: Picked # 0.541 * * * [progress]: localizing error 0.552 * * * [progress]: generating rewritten candidates 0.552 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.553 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 3) 0.554 * * * [progress]: generating series expansions 0.554 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.554 * [approximate]: Taking taylor expansion of (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) in x 0.555 * [taylor]: Rewrote expression to (+ (* 1/3 (pow x 3)) (fma 1/60 (pow x 5) (* 2 x))) 0.555 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.555 * [taylor]: Taking taylor expansion of 1/3 in x 0.555 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (fma 1/60 (pow x 5) (* 2 x)) in x 0.555 * [taylor]: Rewrote expression to (+ (* 1/60 (pow x 5)) (* 2 x)) 0.555 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.555 * [taylor]: Taking taylor expansion of 1/60 in x 0.555 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.555 * [taylor]: Taking taylor expansion of 2 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) in x 0.556 * [taylor]: Rewrote expression to (+ (* 1/3 (pow x 3)) (fma 1/60 (pow x 5) (* 2 x))) 0.556 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.556 * [taylor]: Taking taylor expansion of 1/3 in x 0.556 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (fma 1/60 (pow x 5) (* 2 x)) in x 0.556 * [taylor]: Rewrote expression to (+ (* 1/60 (pow x 5)) (* 2 x)) 0.556 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.556 * [taylor]: Taking taylor expansion of 1/60 in x 0.556 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.556 * [taylor]: Taking taylor expansion of 2 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.567 * [approximate]: Taking taylor expansion of (fma 1/3 (pow (/ 1 x) 3) (fma 1/60 (pow (/ 1 x) 5) (/ 2 x))) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (fma 1/3 (pow (/ 1 x) 3) (fma 1/60 (pow (/ 1 x) 5) (/ 2 x))) in x 0.567 * [taylor]: Rewrote expression to (+ (* 1/3 (pow (/ 1 x) 3)) (fma 1/60 (pow (/ 1 x) 5) (/ 2 x))) 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ 1 x) 5) (/ 2 x)) in x 0.568 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ 1 x) 5)) (/ 2 x)) 0.568 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ 1 x) 5)) in x 0.568 * [taylor]: Taking taylor expansion of 1/60 in x 0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (fma 1/3 (pow (/ 1 x) 3) (fma 1/60 (pow (/ 1 x) 5) (/ 2 x))) in x 0.568 * [taylor]: Rewrote expression to (+ (* 1/3 (pow (/ 1 x) 3)) (fma 1/60 (pow (/ 1 x) 5) (/ 2 x))) 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x 0.568 * [taylor]: Taking taylor expansion of 1/3 in x 0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ 1 x) 5) (/ 2 x)) in x 0.569 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ 1 x) 5)) (/ 2 x)) 0.569 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ 1 x) 5)) in x 0.569 * [taylor]: Taking taylor expansion of 1/60 in x 0.569 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.572 * [taylor]: Taking taylor expansion of 2 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.591 * [approximate]: Taking taylor expansion of (fma 1/3 (pow (/ -1 x) 3) (fma 1/60 (pow (/ -1 x) 5) (/ -2 x))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (fma 1/3 (pow (/ -1 x) 3) (fma 1/60 (pow (/ -1 x) 5) (/ -2 x))) in x 0.591 * [taylor]: Rewrote expression to (+ (* 1/3 (pow (/ -1 x) 3)) (fma 1/60 (pow (/ -1 x) 5) (/ -2 x))) 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ -1 x) 3)) in x 0.591 * [taylor]: Taking taylor expansion of 1/3 in x 0.591 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ -1 x) 5) (/ -2 x)) in x 0.592 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ -1 x) 5)) (/ -2 x)) 0.592 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ -1 x) 5)) in x 0.592 * [taylor]: Taking taylor expansion of 1/60 in x 0.592 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.592 * [taylor]: Taking taylor expansion of -2 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (fma 1/3 (pow (/ -1 x) 3) (fma 1/60 (pow (/ -1 x) 5) (/ -2 x))) in x 0.593 * [taylor]: Rewrote expression to (+ (* 1/3 (pow (/ -1 x) 3)) (fma 1/60 (pow (/ -1 x) 5) (/ -2 x))) 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ -1 x) 3)) in x 0.593 * [taylor]: Taking taylor expansion of 1/3 in x 0.593 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ -1 x) 5) (/ -2 x)) in x 0.593 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ -1 x) 5)) (/ -2 x)) 0.593 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ -1 x) 5)) in x 0.593 * [taylor]: Taking taylor expansion of 1/60 in x 0.593 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.594 * [taylor]: Taking taylor expansion of -2 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.613 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 3) 0.613 * [approximate]: Taking taylor expansion of (fma 1/60 (pow x 5) (* 2 x)) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (fma 1/60 (pow x 5) (* 2 x)) in x 0.613 * [taylor]: Rewrote expression to (+ (* 1/60 (pow x 5)) (* 2 x)) 0.613 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.613 * [taylor]: Taking taylor expansion of 1/60 in x 0.613 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (fma 1/60 (pow x 5) (* 2 x)) in x 0.613 * [taylor]: Rewrote expression to (+ (* 1/60 (pow x 5)) (* 2 x)) 0.613 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.613 * [taylor]: Taking taylor expansion of 1/60 in x 0.613 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.641 * [approximate]: Taking taylor expansion of (fma 1/60 (pow (/ 1 x) 5) (/ 2 x)) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ 1 x) 5) (/ 2 x)) in x 0.642 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ 1 x) 5)) (/ 2 x)) 0.642 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ 1 x) 5)) in x 0.642 * [taylor]: Taking taylor expansion of 1/60 in x 0.642 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.642 * [taylor]: Taking taylor expansion of 2 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ 1 x) 5) (/ 2 x)) in x 0.642 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ 1 x) 5)) (/ 2 x)) 0.642 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ 1 x) 5)) in x 0.642 * [taylor]: Taking taylor expansion of 1/60 in x 0.642 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.643 * [taylor]: Taking taylor expansion of 2 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (fma 1/60 (pow (/ -1 x) 5) (/ -2 x)) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ -1 x) 5) (/ -2 x)) in x 0.688 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ -1 x) 5)) (/ -2 x)) 0.688 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ -1 x) 5)) in x 0.688 * [taylor]: Taking taylor expansion of 1/60 in x 0.688 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.688 * [taylor]: Taking taylor expansion of -1 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.688 * [taylor]: Taking taylor expansion of -2 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (fma 1/60 (pow (/ -1 x) 5) (/ -2 x)) in x 0.689 * [taylor]: Rewrote expression to (+ (* 1/60 (pow (/ -1 x) 5)) (/ -2 x)) 0.689 * [taylor]: Taking taylor expansion of (* 1/60 (pow (/ -1 x) 5)) in x 0.689 * [taylor]: Taking taylor expansion of 1/60 in x 0.689 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.689 * [taylor]: Taking taylor expansion of -2 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.734 * * * [progress]: simplifying candidates 0.735 * [simplify]: Simplifying using # : (expm1 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (log1p (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (* 1/3 (pow x 3)) (log (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (exp (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (* (* (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (expm1 (fma 1/60 (pow x 5) (* 2 x))) (log1p (fma 1/60 (pow x 5) (* 2 x))) (* 1/60 (pow x 5)) (log (fma 1/60 (pow x 5) (* 2 x))) (exp (fma 1/60 (pow x 5) (* 2 x))) (* (cbrt (fma 1/60 (pow x 5) (* 2 x))) (cbrt (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/60 (pow x 5) (* 2 x))) (* (* (fma 1/60 (pow x 5) (* 2 x)) (fma 1/60 (pow x 5) (* 2 x))) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (fma 1/60 (pow x 5) (* 2 x))) (sqrt (fma 1/60 (pow x 5) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (* 1/60 (pow x 5))) (+ (* 2 x) (* 1/60 (pow x 5))) (+ (* 2 x) (* 1/60 (pow x 5))) 0.738 * * [simplify]: iteration 0 : 60 enodes (cost 148 ) 0.740 * * [simplify]: iteration 1 : 184 enodes (cost 130 ) 0.744 * * [simplify]: iteration 2 : 1006 enodes (cost 130 ) 0.767 * * [simplify]: iteration 3 : 5001 enodes (cost 130 ) 0.768 * [simplify]: Simplified to: (expm1 (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (log1p (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (* 1/3 (pow x 3)) (log (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (exp (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (expm1 (fma 1/60 (pow x 5) (* 2 x))) (log1p (fma 1/60 (pow x 5) (* 2 x))) (* 1/60 (pow x 5)) (log (fma 1/60 (pow x 5) (* 2 x))) (exp (fma 1/60 (pow x 5) (* 2 x))) (* (cbrt (fma 1/60 (pow x 5) (* 2 x))) (cbrt (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/60 (pow x 5) (* 2 x))) (pow (fma 1/60 (pow x 5) (* 2 x)) 3) (sqrt (fma 1/60 (pow x 5) (* 2 x))) (sqrt (fma 1/60 (pow x 5) (* 2 x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (fma 1/60 (pow x 5) (* 2 x)) (fma 1/60 (pow x 5) (* 2 x)) (fma 1/60 (pow x 5) (* 2 x)) 0.769 * * * [progress]: adding candidates to table 0.829 * * [progress]: iteration 3 / 4 0.829 * * * [progress]: picking best candidate 0.833 * * * * [pick]: Picked # 0.833 * * * [progress]: localizing error 0.842 * * * [progress]: generating rewritten candidates 0.842 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.843 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.845 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.848 * * * [progress]: generating series expansions 0.848 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.848 * [approximate]: Taking taylor expansion of (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) in x 0.849 * [taylor]: Rewrote expression to (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (exp (- x)))) 0.849 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.849 * [taylor]: Taking taylor expansion of (exp x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.850 * [taylor]: Taking taylor expansion of (exp x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (- (exp (- x))) in x 0.851 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.851 * [taylor]: Taking taylor expansion of (- x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) in x 0.852 * [taylor]: Rewrote expression to (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (exp (- x)))) 0.852 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.852 * [taylor]: Taking taylor expansion of (exp x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.853 * [taylor]: Taking taylor expansion of (exp x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (- (exp (- x))) in x 0.855 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.855 * [taylor]: Taking taylor expansion of (- x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.896 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))) (- (exp (- (/ 1 x))))) in (x) around 0 0.896 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))) (- (exp (- (/ 1 x))))) in x 0.896 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) (- (exp (- (/ 1 x))))) 0.896 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 0.896 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.896 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 x)))) in x 0.897 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))) (- (exp (- (/ 1 x))))) in x 0.898 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) (- (exp (- (/ 1 x))))) 0.898 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.899 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 x)))) in x 0.899 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))) (- (exp (/ 1 x)))) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))) (- (exp (/ 1 x)))) in x 0.915 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) (- (exp (/ 1 x)))) 0.915 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.916 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))) (- (exp (/ 1 x)))) in x 0.917 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) (- (exp (/ 1 x)))) 0.917 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 0.917 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x))) in x 0.918 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.931 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.931 * [approximate]: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.931 * [taylor]: Taking taylor expansion of (exp x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.932 * [taylor]: Taking taylor expansion of (exp x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.935 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.935 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.939 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.939 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.940 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.940 * [taylor]: Taking taylor expansion of -1 in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.943 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.943 * [approximate]: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.943 * [taylor]: Taking taylor expansion of (exp x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 0.944 * [taylor]: Taking taylor expansion of (exp x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.947 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 0.947 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.951 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.955 * * * [progress]: simplifying candidates 0.956 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (log1p (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (* (sqrt (exp x)) (sqrt (exp x))) (log (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (exp (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (* (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (* (* (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (sqrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (sqrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (sqrt 1) (sqrt (exp x)) (/ 1 2) (/ (cbrt x) 2) (/ (sqrt x) 2) (/ x 2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (sqrt 1) (sqrt (exp x)) (/ 1 2) (/ (cbrt x) 2) (/ (sqrt x) 2) (/ x 2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (* -1 x))) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (sqrt (exp x)) (sqrt (exp x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (sqrt (exp x)) (sqrt (exp x)) 0.959 * * [simplify]: iteration 0 : 103 enodes (cost 242 ) 0.961 * * [simplify]: iteration 1 : 216 enodes (cost 214 ) 0.966 * * [simplify]: iteration 2 : 638 enodes (cost 213 ) 0.978 * * [simplify]: iteration 3 : 2234 enodes (cost 211 ) 1.032 * * [simplify]: iteration 4 : 5001 enodes (cost 209 ) 1.033 * [simplify]: Simplified to: (expm1 (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (log1p (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (exp x) (log (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (exp (- (exp x) (exp (- x)))) (* (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (pow (- (exp x) (exp (- x))) 3) (sqrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (sqrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (pow (sqrt (exp x)) 3) (fabs (cbrt (exp x))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) 1 (sqrt (exp x)) 1/2 (/ (cbrt x) 2) (/ (sqrt x) 2) (* 1/2 x) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (pow (sqrt (exp x)) 3) (fabs (cbrt (exp x))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) 1 (sqrt (exp x)) 1/2 (/ (cbrt x) 2) (/ (sqrt x) 2) (* 1/2 x) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) (fma (fma x 1/8 1/2) x 1) (sqrt (exp x)) (sqrt (exp x)) (fma (fma x 1/8 1/2) x 1) (sqrt (exp x)) (sqrt (exp x)) 1.033 * * * [progress]: adding candidates to table 1.144 * * [progress]: iteration 4 / 4 1.144 * * * [progress]: picking best candidate 1.146 * * * * [pick]: Picked # 1.146 * * * [progress]: localizing error 1.155 * * * [progress]: generating rewritten candidates 1.155 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.161 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1) 1.167 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.177 * * * [progress]: generating series expansions 1.177 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.177 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.177 * [taylor]: Taking taylor expansion of (exp x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.177 * [taylor]: Taking taylor expansion of (- x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.178 * [taylor]: Taking taylor expansion of (exp x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.178 * [taylor]: Taking taylor expansion of (- x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.202 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.202 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.204 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.204 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.211 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.211 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.211 * [taylor]: Taking taylor expansion of -1 in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.211 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.211 * [taylor]: Taking taylor expansion of -1 in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.215 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1) 1.215 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 1.215 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.215 * [taylor]: Taking taylor expansion of (exp x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.215 * [taylor]: Taking taylor expansion of (- x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.216 * [taylor]: Taking taylor expansion of (exp x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.216 * [taylor]: Taking taylor expansion of (- x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.241 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.241 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.246 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 1.246 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.246 * [taylor]: Taking taylor expansion of -1 in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.250 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.251 * [approximate]: Taking taylor expansion of (exp (- (exp x) (exp (- x)))) in (x) around 0 1.251 * [taylor]: Taking taylor expansion of (exp (- (exp x) (exp (- x)))) in x 1.251 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.251 * [taylor]: Taking taylor expansion of (exp x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.251 * [taylor]: Taking taylor expansion of (- x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (exp (- (exp x) (exp (- x)))) in x 1.254 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 1.254 * [taylor]: Taking taylor expansion of (exp x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.254 * [taylor]: Taking taylor expansion of (- x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (exp (- (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.261 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.263 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.263 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.276 * [approximate]: Taking taylor expansion of (exp (- (exp (/ -1 x)) (exp (/ 1 x)))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) (exp (/ 1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) (exp (/ 1 x)))) in x 1.277 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.277 * [taylor]: Taking taylor expansion of -1 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.292 * * * [progress]: simplifying candidates 1.294 * [simplify]: Simplifying using # : (expm1 (log (exp (- (exp x) (exp (- x)))))) (log1p (log (exp (- (exp x) (exp (- x)))))) (log (exp (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt 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