17.654 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (exp (* a x)) 1.0) 0.045 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.046 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.047 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.048 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.049 * * [simplify]: iteration 4 : 110 enodes (cost 3 ) 0.051 * * [simplify]: iteration 5 : 318 enodes (cost 3 ) 0.059 * * [simplify]: iteration 6 : 1623 enodes (cost 3 ) 0.100 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.101 * [simplify]: Simplified to: (- (exp (* a x)) 1.0) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.104 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.114 * [approximate]: Approximating (- (exp (* a x)) 1.0) in (a x) around 0 0.117 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (- (exp (* a x)) 1.0) in x 0.148 * [approximate]: Approximating (- (exp (/ 1 (* a x))) 1.0) in (a x) around 0 0.150 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.155 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.155 * [approximate]: Approximating (- (exp (/ 1 (* a x))) 1.0) in (a x) around 0 0.157 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1.0) in x 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.162 * [approximate]: Approximating (exp (* a x)) in (a x) around 0 0.163 * [taylor]: Taking taylor expansion of (exp (* a x)) in x 0.163 * [taylor]: Taking taylor expansion of (exp (* a x)) in x 0.164 * [taylor]: Taking taylor expansion of (exp (* a x)) in x 0.167 * [taylor]: Taking taylor expansion of (exp (* a x)) in x 0.170 * [taylor]: Taking taylor expansion of (exp (* a x)) in x 0.171 * [approximate]: Approximating (exp (/ 1 (* a x))) in (a x) around 0 0.172 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.173 * [approximate]: Approximating (exp (/ 1 (* a x))) in (a x) around 0 0.174 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.175 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.175 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.175 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a x))) in x 0.175 * * * [progress]: simplifying candidates 0.176 * [simplify]: Simplifying using # : (/ (exp (exp (* a x))) (exp 1.0)) (log (- (exp (* a x)) 1.0)) (exp (- (exp (* a x)) 1.0)) (* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0))) (cbrt (- (exp (* a x)) 1.0)) (* (* (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0)) (- (exp (* a x)) 1.0)) (sqrt (- (exp (* a x)) 1.0)) (sqrt (- (exp (* a x)) 1.0)) (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (exp (* a x))) (+ (* 1.0 1.0) (* (exp (* a x)) 1.0))) (neg 1.0) (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) (+ (exp (* a x)) 1.0) (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0)) (- (exp (* a x)) 1.0) (neg 1.0) (exp a) (log (exp (* a x))) (exp (exp (* a x))) (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (cbrt (exp (* a x))) (* (* (exp (* a x)) (exp (* a x))) (exp (* a x))) (sqrt (exp (* a x))) (sqrt (exp (* a x))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0) (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) 1)) (exp (* a x)) (exp (* a x)) 0.178 * * [simplify]: iteration 0 : 115 enodes (cost 135 ) 0.181 * * [simplify]: iteration 1 : 333 enodes (cost 127 ) 0.186 * * [simplify]: iteration 2 : 1116 enodes (cost 125 ) 0.214 * * [simplify]: iteration 3 : 5001 enodes (cost 125 ) 0.215 * [simplify]: Simplified to: (exp (- (exp (* a x)) 1.0)) (log (- (exp (* a x)) 1.0)) (exp (- (exp (* a x)) 1.0)) (* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0))) (cbrt (- (exp (* a x)) 1.0)) (pow (- (exp (* a x)) 1.0) 3) (sqrt (- (exp (* a x)) 1.0)) (sqrt (- (exp (* a x)) 1.0)) (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)) (neg 1.0) (+ (neg (* 1.0 1.0)) (pow (exp a) (* 2 x))) (+ (exp (* a x)) 1.0) (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0)) (- (exp (* a x)) 1.0) (neg 1.0) (exp a) (* a x) (exp (exp (* a x))) (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (cbrt (exp (* a x))) (pow (exp (* a x)) 3) (sqrt (exp (* a x))) (sqrt (exp (* a x))) (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0) (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) 1)) (exp (* a x)) (exp (* a x)) 0.215 * * * [progress]: adding candidates to table 0.274 * * [progress]: iteration 2 / 4 0.274 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.324 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.336 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.344 * * * [progress]: generating series expansions 0.344 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.344 * [approximate]: Approximating (* (pow a 3) (pow x 3)) in (a x) around 0 0.345 * [taylor]: Taking taylor expansion of (* (pow a 3) (pow x 3)) in x 0.347 * [taylor]: Taking taylor expansion of (* (pow a 3) (pow x 3)) in x 0.351 * [taylor]: Taking taylor expansion of (* (pow a 3) (pow x 3)) in x 0.356 * [taylor]: Taking taylor expansion of (* (pow a 3) (pow x 3)) in x 0.357 * [approximate]: Approximating (/ 1 (* (pow a 3) (pow x 3))) in (a x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.389 * [approximate]: Approximating (/ 1 (* (pow a 3) (pow x 3))) in (a x) around 0 0.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 3) (pow x 3))) in x 0.426 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.427 * [approximate]: Approximating (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in (x a) around 0 0.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.429 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.438 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) in a 0.448 * [approximate]: Approximating (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in (x a) around 0 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.498 * [approximate]: Approximating (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in (x a) around 0 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a x)) (+ (* 1/6 (/ 1 (* (pow a 3) (pow x 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow x 2)))))) in a 0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.543 * [approximate]: Approximating (* 1/2 (* (pow a 2) x)) in (a x) around 0 0.544 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 0.552 * [approximate]: Approximating (/ 1/2 (* (pow a 2) x)) in (a x) around 0 0.553 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 0.560 * [approximate]: Approximating (/ -1/2 (* (pow a 2) x)) in (a x) around 0 0.566 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 0.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.573 * [approximate]: Approximating (* x (+ a (* 1/2 (* (pow a 2) x)))) in (x a) around 0 0.574 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 0.575 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 0.578 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 0.582 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 0.586 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 0.586 * [approximate]: Approximating (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in (x a) around 0 0.589 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.592 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.597 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.603 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.611 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.614 * [approximate]: Approximating (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in (x a) around 0 0.617 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.619 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.625 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.631 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.639 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 0.642 * * * [progress]: simplifying candidates 0.648 * [simplify]: Simplifying using # : (* a x) (+ (* (log a) 3) (* (log x) 3)) (+ (* (log a) 3) (* (log x) 3)) (+ (* (log a) 3) (log (pow x 3))) (+ (* (log a) 3) (* (log x) 3)) (+ (* (log a) 3) (* (log x) 3)) (+ (* (log a) 3) (log (pow x 3))) (+ (log (pow a 3)) (* (log x) 3)) (+ (log (pow a 3)) (* (log x) 3)) (+ (log (pow a 3)) (log (pow x 3))) (log (* (pow a 3) (pow x 3))) (exp (* (pow a 3) (pow x 3))) (* (* (* (pow a 3) (pow a 3)) (pow a 3)) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* (pow a 3) (pow x 3))) (cbrt (* (pow a 3) (pow x 3)))) (cbrt (* (pow a 3) (pow x 3))) (* (* (* (pow a 3) (pow x 3)) (* (pow a 3) (pow x 3))) (* (pow a 3) (pow x 3))) (sqrt (* (pow a 3) (pow x 3))) (sqrt (* (pow a 3) (pow x 3))) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (pow x (/ 3 2))) (* (pow (sqrt a) 3) (pow x (/ 3 2))) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (pow x (/ 3 2))) (* (pow (sqrt a) 3) (pow x (/ 3 2))) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (sqrt (pow x 3))) (* (sqrt (pow a 3)) (sqrt (pow x 3))) (* (sqrt (pow a 3)) (pow x (/ 3 2))) (* (sqrt (pow a 3)) (pow x (/ 3 2))) (* (pow a (/ 3 2)) (pow (sqrt x) 3)) (* (pow a (/ 3 2)) (pow (sqrt x) 3)) (* (pow a (/ 3 2)) (pow (sqrt x) 3)) (* (pow a (/ 3 2)) (pow (sqrt x) 3)) (* (pow a (/ 3 2)) (sqrt (pow x 3))) (* (pow a (/ 3 2)) (sqrt (pow x 3))) (* (pow a (/ 3 2)) (pow x (/ 3 2))) (* (pow a (/ 3 2)) (pow x (/ 3 2))) (* (pow a 3) (pow (* (cbrt x) (cbrt x)) 3)) (* (pow a 3) (pow (sqrt x) 3)) (* (pow a 3) (pow 1 3)) (* (pow a 3) (* x x)) (* (pow a 3) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* (pow a 3) (pow (* (cbrt x) (cbrt x)) 3)) (* (pow a 3) (pow (sqrt x) 3)) (* (pow a 3) (pow 1 3)) (* (pow a 3) x) (* (pow a 3) (sqrt (pow x 3))) (* (pow a 3) 1) (* (pow a 3) (pow x (/ 3 2))) (* (pow (cbrt a) 3) (pow x 3)) (* (pow (sqrt a) 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* a (pow x 3)) (* (cbrt (pow a 3)) (pow x 3)) (* (pow (cbrt a) 3) (pow x 3)) (* (pow (sqrt a) 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* (* a a) (pow x 3)) (* (sqrt (pow a 3)) (pow x 3)) (* (pow a 3) (pow x 3)) (* (pow a (/ 3 2)) (pow x 3)) (* (exp (* x (+ a (* (* 1/2 (pow a 2)) x)))) (exp (* 1/6 (* (pow a 3) (pow x 3))))) (log (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (exp (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (* (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))))) (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (* (* (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (sqrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (sqrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (+ (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (pow (* 1/6 (* (pow a 3) (pow x 3))) 3)) (+ (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (- (* (* 1/6 (* (pow a 3) (pow x 3))) (* 1/6 (* (pow a 3) (pow x 3)))) (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))))) (- (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (* 1/6 (* (pow a 3) (pow x 3))) (* 1/6 (* (pow a 3) (pow x 3))))) (- (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* x (* (* 1/2 (pow a 2)) x)) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* (* (* 1/2 (pow a 2)) x) x) (* 1/6 (* (pow a 3) (pow x 3)))) (* (* 1/2 (pow a 2)) x) (+ (+ (log 1/2) (* (log a) 2)) (log x)) (+ (+ (log 1/2) (* (log a) 2)) (log x)) (+ (+ (log 1/2) (log (pow a 2))) (log x)) (+ (log (* 1/2 (pow a 2))) (log x)) (log (* (* 1/2 (pow a 2)) x)) (exp (* (* 1/2 (pow a 2)) x)) (* (* (* (* 1/2 1/2) 1/2) (* (* (pow a 2) (pow a 2)) (pow a 2))) (* (* x x) x)) (* (* (* (* 1/2 (pow a 2)) (* 1/2 (pow a 2))) (* 1/2 (pow a 2))) (* (* x x) x)) (* (cbrt (* (* 1/2 (pow a 2)) x)) (cbrt (* (* 1/2 (pow a 2)) x))) (cbrt (* (* 1/2 (pow a 2)) x)) (* (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) (* (cbrt x) (cbrt x))) (* (* 1/2 (pow a 2)) (sqrt x)) (* (* 1/2 (pow a 2)) 1) (* (pow a 2) x) (* x (+ a (* (* 1/2 (pow a 2)) x))) (+ (log x) (log (+ a (* (* 1/2 (pow a 2)) x)))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (exp (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (* (* x x) x) (* (* (+ a (* (* 1/2 (pow a 2)) x)) (+ a (* (* 1/2 (pow a 2)) x))) (+ a (* (* 1/2 (pow a 2)) x)))) (* (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x))))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* x a) (* x (* (* 1/2 (pow a 2)) x)) (* a x) (* (* (* 1/2 (pow a 2)) x) x) (* x (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))))) (* x (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* x 1) (* (cbrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* (sqrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3))) (* x (- (* a a) (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x)))) (* (pow a 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* (pow a 3) (pow x 3)) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) 0.655 * * [simplify]: iteration 0 : 471 enodes (cost 797 ) 0.665 * * [simplify]: iteration 1 : 2758 enodes (cost 737 ) 0.740 * * [simplify]: iteration 2 : 5001 enodes (cost 737 ) 0.745 * [simplify]: Simplified to: (* a x) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (* 3 (+ (log a) (log x))) (exp (* (pow a 3) (pow x 3))) (pow (* (pow a 3) (pow x 3)) 3) (* (cbrt (* (pow a 3) (pow x 3))) (cbrt (* (pow a 3) (pow x 3)))) (cbrt (* (pow a 3) (pow x 3))) (pow (* (pow a 3) (pow x 3)) 3) (sqrt (* (pow a 3) (pow x 3))) (sqrt (* (pow a 3) (pow x 3))) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (pow x 3/2)) (* (pow (sqrt a) 3) (pow x 3/2)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (pow (sqrt x) 3)) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (sqrt (pow x 3))) (* (pow (sqrt a) 3) (pow x 3/2)) (* (pow (sqrt a) 3) (pow x 3/2)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (pow (sqrt x) 3)) (* (sqrt (pow a 3)) (sqrt (pow x 3))) (* (sqrt (pow a 3)) (sqrt (pow x 3))) (* (sqrt (pow a 3)) (pow x 3/2)) (* (sqrt (pow a 3)) (pow x 3/2)) (* (pow a 3/2) (pow (sqrt x) 3)) (* (pow a 3/2) (pow (sqrt x) 3)) (* (pow a 3/2) (pow (sqrt x) 3)) (* (pow a 3/2) (pow (sqrt x) 3)) (* (pow a 3/2) (sqrt (pow x 3))) (* (pow a 3/2) (sqrt (pow x 3))) (* (pow a 3/2) (pow x 3/2)) (* (pow a 3/2) (pow x 3/2)) (* (* (pow a 3) x) x) (* (pow a 3) (pow (sqrt x) 3)) (pow a 3) (* (* (pow a 3) x) x) (* (* (pow a 3) x) x) (* (* (pow a 3) x) x) (* (pow a 3) (pow (sqrt x) 3)) (pow a 3) (* (pow a 3) x) (* (pow a 3) (sqrt (pow x 3))) (pow a 3) (* (pow a 3) (pow x 3/2)) (* a (pow x 3)) (* (pow (sqrt a) 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* a (pow x 3)) (* a (pow x 3)) (* a (pow x 3)) (* (pow (sqrt a) 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* (* a a) (pow x 3)) (* (sqrt (pow a 3)) (pow x 3)) (* (pow a 3) (pow x 3)) (* (pow a 3/2) (pow x 3)) (exp (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (log (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (exp (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (* (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))))) (cbrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (pow (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) 3) (sqrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (sqrt (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))) (+ (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (pow (* 1/6 (* (pow a 3) (pow x 3))) 3)) (+ (* (* 1/6 (* (pow a 3) (pow x 3))) (- (* 1/6 (* (pow a 3) (pow x 3))) (* x (+ a (* (* 1/2 (pow a 2)) x))))) (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))))) (+ (* -1/36 (* (pow x 6) (pow a 6))) (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))))) (- (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* (* (* 1/2 (pow a 2)) x) x) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* (* (* 1/2 (pow a 2)) x) x) (* 1/6 (* (pow a 3) (pow x 3)))) (* 1/2 (* (pow a 2) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (exp (* (* 1/2 (pow a 2)) x)) (pow (* (* 1/2 (pow a 2)) x) 3) (pow (* (* 1/2 (pow a 2)) x) 3) (* (cbrt (* (* 1/2 (pow a 2)) x)) (cbrt (* (* 1/2 (pow a 2)) x))) (cbrt (* (* 1/2 (pow a 2)) x)) (pow (* (* 1/2 (pow a 2)) x) 3) (sqrt (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) (* (cbrt x) (cbrt x))) (* (* 1/2 (pow a 2)) (sqrt x)) (* 1/2 (pow a 2)) (* (pow a 2) x) (* x (+ a (* (* 1/2 (pow a 2)) x))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (exp (* x (+ a (* (* 1/2 (pow a 2)) x)))) (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (* (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x))))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* a x) (* x (* (* 1/2 (pow a 2)) x)) (* a x) (* x (* (* 1/2 (pow a 2)) x)) (* x (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))))) (* x (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) x (* (cbrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* (sqrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3))) (+ (* x (pow a 2)) (* x (* (neg (* (pow a 4) 1/4)) (pow x 2)))) (* (pow a 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* (pow a 3) (pow x 3)) (* x (+ a (* (* 1/2 (pow a 2)) x))) (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3)))) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* a x) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) 0.745 * * * [progress]: adding candidates to table 1.209 * * [progress]: iteration 3 / 4 1.209 * * * [progress]: picking best candidate 1.227 * * * * [pick]: Picked # 1.227 * * * [progress]: localizing error 1.235 * * * [progress]: generating rewritten candidates 1.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.240 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.255 * * * [progress]: generating series expansions 1.255 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.255 * [approximate]: Approximating (* 1/2 (* (pow a 2) x)) in (a x) around 0 1.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 1.257 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 1.260 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 1.263 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a 2) x)) in x 1.263 * [approximate]: Approximating (/ 1/2 (* (pow a 2) x)) in (a x) around 0 1.265 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 1.266 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow a 2) x)) in x 1.272 * [approximate]: Approximating (/ -1/2 (* (pow a 2) x)) in (a x) around 0 1.273 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 1.274 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1/2 (* (pow a 2) x)) in x 1.280 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.280 * [approximate]: Approximating (* x (+ a (* 1/2 (* (pow a 2) x)))) in (x a) around 0 1.284 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 1.286 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 1.288 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 1.292 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 1.296 * [taylor]: Taking taylor expansion of (* x (+ a (* 1/2 (* (pow a 2) x)))) in a 1.297 * [approximate]: Approximating (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in (x a) around 0 1.299 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.302 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.307 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.314 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.322 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.324 * [approximate]: Approximating (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in (x a) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.330 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.335 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.341 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.350 * [taylor]: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x) in a 1.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.352 * [approximate]: Approximating (+ a (* 1/2 (* (pow a 2) x))) in (a x) around 0 1.353 * [taylor]: Taking taylor expansion of (+ a (* 1/2 (* (pow a 2) x))) in x 1.353 * [taylor]: Taking taylor expansion of (+ a (* 1/2 (* (pow a 2) x))) in x 1.354 * [taylor]: Taking taylor expansion of (+ a (* 1/2 (* (pow a 2) x))) in x 1.356 * [taylor]: Taking taylor expansion of (+ a (* 1/2 (* (pow a 2) x))) in x 1.358 * [taylor]: Taking taylor expansion of (+ a (* 1/2 (* (pow a 2) x))) in x 1.360 * [approximate]: Approximating (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in (a x) around 0 1.366 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in x 1.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in x 1.372 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in x 1.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in x 1.383 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a)) in x 1.384 * [approximate]: Approximating (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in (a x) around 0 1.386 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in x 1.389 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in x 1.394 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in x 1.399 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in x 1.406 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 (* (pow a 2) x))) (/ 1 a))) in x 1.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.407 * [approximate]: Approximating (* 1/2 (pow a 2)) in (a) around 0 1.416 * [approximate]: Approximating (/ 1/2 (pow a 2)) in (a) around 0 1.426 * [approximate]: Approximating (/ 1/2 (pow a 2)) in (a) around 0 1.436 * * * [progress]: simplifying candidates 1.437 * [simplify]: Simplifying using # : (* (* 1/2 (pow a 2)) x) (+ (+ (log 1/2) (* (log a) 2)) (log x)) (+ (+ (log 1/2) (* (log a) 2)) (log x)) (+ (+ (log 1/2) (log (pow a 2))) (log x)) (+ (log (* 1/2 (pow a 2))) (log x)) (log (* (* 1/2 (pow a 2)) x)) (exp (* (* 1/2 (pow a 2)) x)) (* (* (* (* 1/2 1/2) 1/2) (* (* (pow a 2) (pow a 2)) (pow a 2))) (* (* x x) x)) (* (* (* (* 1/2 (pow a 2)) (* 1/2 (pow a 2))) (* 1/2 (pow a 2))) (* (* x x) x)) (* (cbrt (* (* 1/2 (pow a 2)) x)) (cbrt (* (* 1/2 (pow a 2)) x))) (cbrt (* (* 1/2 (pow a 2)) x)) (* (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) (* (cbrt x) (cbrt x))) (* (* 1/2 (pow a 2)) (sqrt x)) (* (* 1/2 (pow a 2)) 1) (* (pow a 2) x) (* x (+ a (* (* 1/2 (pow a 2)) x))) (+ (log x) (log (+ a (* (* 1/2 (pow a 2)) x)))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (exp (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (* (* x x) x) (* (* (+ a (* (* 1/2 (pow a 2)) x)) (+ a (* (* 1/2 (pow a 2)) x))) (+ a (* (* 1/2 (pow a 2)) x)))) (* (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x))))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (* (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt x) (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* x a) (* x (* (* 1/2 (pow a 2)) x)) (* a x) (* (* (* 1/2 (pow a 2)) x) x) (* x (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))))) (* x (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) (* x 1) (* (cbrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* (sqrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3))) (* x (- (* a a) (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x)))) (* (exp a) (exp (* (* 1/2 (pow a 2)) x))) (log (+ a (* (* 1/2 (pow a 2)) x))) (exp (+ a (* (* 1/2 (pow a 2)) x))) (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (* (* (+ a (* (* 1/2 (pow a 2)) x)) (+ a (* (* 1/2 (pow a 2)) x))) (+ a (* (* 1/2 (pow a 2)) x))) (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3)) (+ (* a a) (- (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x)) (* a (* (* 1/2 (pow a 2)) x)))) (- (* a a) (* (* (* 1/2 (pow a 2)) x) (* (* 1/2 (pow a 2)) x))) (- a (* (* 1/2 (pow a 2)) x)) (+ (log 1/2) (* (log a) 2)) (+ (log 1/2) (* (log a) 2)) (+ (log 1/2) (log (pow a 2))) (log (* 1/2 (pow a 2))) (exp (* 1/2 (pow a 2))) (* (* (* 1/2 1/2) 1/2) (* (* (pow a 2) (pow a 2)) (pow a 2))) (* (cbrt (* 1/2 (pow a 2))) (cbrt (* 1/2 (pow a 2)))) (cbrt (* 1/2 (pow a 2))) (* (* (* 1/2 (pow a 2)) (* 1/2 (pow a 2))) (* 1/2 (pow a 2))) (sqrt (* 1/2 (pow a 2))) (sqrt (* 1/2 (pow a 2))) (* (sqrt 1/2) (pow (sqrt a) 2)) (* (sqrt 1/2) (pow (sqrt a) 2)) (* (sqrt 1/2) a) (* (sqrt 1/2) a) (* (sqrt 1/2) (sqrt (pow a 2))) (* (sqrt 1/2) (sqrt (pow a 2))) (* (sqrt 1/2) (pow a (/ 2 2))) (* (sqrt 1/2) (pow a (/ 2 2))) (* 1/2 (pow (* (cbrt a) (cbrt a)) 2)) (* 1/2 (pow (sqrt a) 2)) (* 1/2 (pow 1 2)) (* 1/2 a) (* 1/2 (* (cbrt (pow a 2)) (cbrt (pow a 2)))) (* 1/2 (sqrt (pow a 2))) (* 1/2 1) (* 1/2 (pow a (/ 2 2))) (* (cbrt 1/2) (pow a 2)) (* (sqrt 1/2) (pow a 2)) (* 1/2 (pow a 2)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) (+ a (* 1/2 (* (pow a 2) x))) (+ a (* 1/2 (* (pow a 2) x))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (pow a 2)) (* 1/2 (pow a 2)) (* 1/2 (pow a 2)) 1.442 * * [simplify]: iteration 0 : 317 enodes (cost 474 ) 1.454 * * [simplify]: iteration 1 : 1745 enodes (cost 406 ) 1.493 * * [simplify]: iteration 2 : 5002 enodes (cost 403 ) 1.496 * [simplify]: Simplified to: (* 1/2 (* (pow a 2) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (log (* (* 1/2 (pow a 2)) x)) (exp (* (* 1/2 (pow a 2)) x)) (pow (* (* 1/2 (pow a 2)) x) 3) (pow (* (* 1/2 (pow a 2)) x) 3) (* (cbrt (* (* 1/2 (pow a 2)) x)) (cbrt (* (* 1/2 (pow a 2)) x))) (cbrt (* (* 1/2 (pow a 2)) x)) (pow (* (* 1/2 (pow a 2)) x) 3) (sqrt (* (* 1/2 (pow a 2)) x)) (sqrt (* (* 1/2 (pow a 2)) x)) (* (* 1/2 (pow a 2)) (* (cbrt x) (cbrt x))) (* (* 1/2 (pow a 2)) (sqrt x)) (* 1/2 (pow a 2)) (* (pow a 2) x) (* x (+ a (* (* 1/2 (pow a 2)) x))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (log (* x (+ a (* (* 1/2 (pow a 2)) x)))) (exp (* x (+ a (* (* 1/2 (pow a 2)) x)))) (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (* (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x))))) (cbrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (pow (* x (+ a (* (* 1/2 (pow a 2)) x))) 3) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (sqrt (* x (+ a (* (* 1/2 (pow a 2)) x)))) (* (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (pow x 1/2)) (* (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (pow x 1/2)) (* x a) (* x (* (* 1/2 (pow a 2)) x)) (* x a) (* x (* (* 1/2 (pow a 2)) x)) (* x (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))))) (* x (sqrt (+ a (* (* 1/2 (pow a 2)) x)))) x (* (cbrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* (sqrt x) (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3))) (* (* (- (pow a 2) (* (* (* 1/4 (pow a 4)) x) x)) 1) x) (exp (+ a (* (* 1/2 (pow a 2)) x))) (log (+ a (* 1/2 (* (pow a 2) x)))) (exp (+ a (* (* 1/2 (pow a 2)) x))) (* (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (cbrt (+ a (* (* 1/2 (pow a 2)) x)))) (cbrt (+ a (* (* 1/2 (pow a 2)) x))) (pow (+ a (* 1/2 (* (pow a 2) x))) 3) (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (sqrt (+ a (* (* 1/2 (pow a 2)) x))) (+ (pow a 3) (pow (* (* 1/2 (pow a 2)) x) 3)) (+ (* (* (* 1/2 (pow a 2)) x) (- (* (* 1/2 (pow a 2)) x) a)) (pow a 2)) (- (pow a 2) (* (* (* 1/4 (pow a 4)) x) x)) (- a (* (* 1/2 (pow a 2)) x)) (log (* 1/2 (pow a 2))) (log (* 1/2 (pow a 2))) (log (* 1/2 (pow a 2))) (log (* 1/2 (pow a 2))) (exp (* 1/2 (pow a 2))) (* 1/8 (pow a 6)) (* (cbrt (* 1/2 (pow a 2))) (cbrt (* 1/2 (pow a 2)))) (cbrt (* 1/2 (pow a 2))) (* 1/8 (pow a 6)) (sqrt (* 1/2 (pow a 2))) (sqrt (* 1/2 (pow a 2))) (* (sqrt 1/2) a) (* (sqrt 1/2) a) (* (sqrt 1/2) a) (* (sqrt 1/2) a) (* (sqrt 1/2) (sqrt (pow a 2))) (* (sqrt 1/2) (sqrt (pow a 2))) (* (sqrt 1/2) a) (* (sqrt 1/2) a) (* 1/2 (pow (* (cbrt a) (cbrt a)) 2)) (* 1/2 a) 1/2 (* 1/2 a) (* 1/2 (* (cbrt (pow a 2)) (cbrt (pow a 2)))) (* 1/2 (fabs a)) 1/2 (* 1/2 a) (* (cbrt 1/2) (pow a 2)) (* (sqrt 1/2) (pow a 2)) (* 1/2 (pow a 2)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* 1/2 (* (pow a 2) x)) (* x a) (* x (+ a (* (* 1/2 (pow a 2)) x))) (* x (+ a (* (* 1/2 (pow a 2)) x))) (+ a (* 1/2 (* (pow a 2) x))) (+ a (* 1/2 (* (pow a 2) x))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (pow a 2)) (* 1/2 (pow a 2)) (* 1/2 (pow a 2)) 1.496 * * * [progress]: adding candidates to table 1.769 * * [progress]: iteration 4 / 4 1.769 * * * [progress]: picking best candidate 1.778 * * * * [pick]: Picked # 1.778 * * * [progress]: localizing error 1.781 * * * [progress]: generating rewritten candidates 1.781 * * * [progress]: generating series expansions 1.781 * * * [progress]: simplifying candidates 1.781 * [simplify]: Simplifying using # : 1.782 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.782 * [simplify]: Simplified to: 1.782 * * * [progress]: adding candidates to table 1.783 * [progress]: [Phase 3 of 3] Extracting. 1.783 * * [regime]: Finding splitpoints for: (# # # # #) 1.783 * * * [regime-changes]: Trying 5 branch expressions: ((* a x) (exp (* a x)) (- (exp (* a x)) 1.0) x a) 1.783 * * * * [regimes]: Trying to branch on (* a x) from (# # # # #) 2.029 * * * * [regimes]: Trying to branch on (* a x) from (# # #) 2.068 * * * * [regimes]: Trying to branch on (exp (* a x)) from (# # # # #) 2.111 * * * * [regimes]: Trying to branch on (exp (* a x)) from (# # #) 2.148 * * * * [regimes]: Trying to branch on (- (exp (* a x)) 1.0) from (# # # # #) 2.194 * * * * [regimes]: Trying to branch on (- (exp (* a x)) 1.0) from (# #) 2.225 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.286 * * * * [regimes]: Trying to branch on a from (# # # # #) 2.360 * * * [regime]: Found split indices: #