55.928 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (+ x (* x x)) 0.014 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 11 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.018 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (+ x (* x x)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.034 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.065 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.068 * * [simplify]: iteration 0 : 79 enodes (cost 58 ) 0.071 * * [simplify]: iteration 1 : 324 enodes (cost 50 ) 0.078 * * [simplify]: iteration 2 : 1105 enodes (cost 50 ) 0.111 * * [simplify]: iteration 3 : 5001 enodes (cost 50 ) 0.112 * [simplify]: Simplified to: (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* x (- x (pow x 3))) (- x (* x x)) (+ 1 x) (+ 1 x) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) 0.112 * * * [progress]: adding candidates to table 0.130 * * [progress]: iteration 2 / 4 0.131 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.142 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.153 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of 1 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.163 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.163 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of 1 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.164 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.181 * * * [progress]: simplifying candidates 0.182 * [simplify]: Simplifying using # : (* x (+ 1 x)) (+ (log x) (log (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (* (* (* x x) x) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (* (* (* x (+ 1 x)) (* x (+ 1 x))) (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* x 1) (* x x) (* 1 x) (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) (* x 1) (* x 1) (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (* x (+ (pow 1 3) (pow x 3))) (* x (- (* 1 1) (* x x))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.185 * * [simplify]: iteration 0 : 120 enodes (cost 81 ) 0.188 * * [simplify]: iteration 1 : 627 enodes (cost 71 ) 0.201 * * [simplify]: iteration 2 : 2861 enodes (cost 71 ) 0.258 * * [simplify]: iteration 3 : 5002 enodes (cost 71 ) 0.259 * [simplify]: Simplified to: (* x (+ 1 x)) (log (* x (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (pow (* x (+ 1 x)) 3) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (pow (* x (+ 1 x)) 3) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) x (pow x 2) x (pow x 2) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) x x (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (+ (pow x 4) x) (* x (- 1 (* x x))) (* x (+ 1 x)) (* x (+ 1 x)) (* x (+ 1 x)) 0.259 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 3 / 4 0.282 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.294 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.312 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.326 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.326 * [approximate]: Taking taylor expansion of (/ (+ x (pow x 4)) (- (+ (pow x 2) 1) x)) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (+ x (pow x 4)) (- (+ (pow x 2) 1) x)) in x 0.327 * [taylor]: Taking taylor expansion of (+ x (pow x 4)) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1) x) in x 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ (+ x (pow x 4)) (- (+ (pow x 2) 1) x)) in x 0.328 * [taylor]: Taking taylor expansion of (+ x (pow x 4)) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1) x) in x 0.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.349 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 4)) (/ 1 x)) (- (+ (/ 1 (pow x 2)) 1) (/ 1 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 4)) (/ 1 x)) (- (+ (/ 1 (pow x 2)) 1) (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 4)) (/ 1 x)) (- (+ (/ 1 (pow x 2)) 1) (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 x)) (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 x)) (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1))) in x 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.397 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 x)) (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1))) in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.433 * [approximate]: Taking taylor expansion of (- (pow x 2) x) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.457 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.473 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.474 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) 1) x) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1) x) in x 0.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1) x) in x 0.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.477 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1)) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 x) 1)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.489 * [approximate]: Taking taylor expansion of (+ x (pow x 4)) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (+ x (pow x 4)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ x (pow x 4)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 x)) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.523 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 x)) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.550 * * * [progress]: simplifying candidates 0.551 * [simplify]: Simplifying using # : (- (log (+ (pow x 4) x)) (log (+ (* 1 1) (- (* x x) (* 1 x))))) (log (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (exp (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (* (* (+ (pow x 4) x) (+ (pow x 4) x)) (+ (pow x 4) x)) (* (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x)))) (+ (* 1 1) (- (* x x) (* 1 x))))) (* (cbrt (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (cbrt (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x)))))) (cbrt (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (* (* (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (sqrt (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (sqrt (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x))))) (- (+ (pow x 4) x)) (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (/ (cbrt (+ (pow x 4) x)) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (cbrt (+ (pow x 4) x)) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) 1) (/ (cbrt (+ (pow x 4) x)) (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) 1) (/ (cbrt (+ (pow x 4) x)) (+ 1 (- (* x x) (* 1 x)))) (/ (sqrt (+ (pow x 4) x)) (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (/ (sqrt (+ (pow x 4) x)) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (sqrt (+ (pow x 4) x)) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (sqrt (+ (pow x 4) x)) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (sqrt (+ (pow x 4) x)) 1) (/ (sqrt (+ (pow x 4) x)) (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (sqrt (+ (pow x 4) x)) 1) (/ (sqrt (+ (pow x 4) x)) (+ 1 (- (* x x) (* 1 x)))) (/ 1 (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (/ (+ (pow x 4) x) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ 1 (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (+ (pow x 4) x) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ 1 1) (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x)))) (/ 1 1) (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x)))) (/ 1 (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (/ (+ (pow x 4) x) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ 1 (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (+ (pow x 4) x) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ 1 1) (/ (+ (pow x 4) x) (+ (* 1 1) (- (* x x) (* 1 x)))) (/ 1 1) (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x)))) (/ 1 (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (+ (* 1 1) (- (* x x) (* 1 x))) (+ (pow x 4) x)) (/ (+ (pow x 4) x) (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (/ (+ (pow x 4) x) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (/ (+ (pow x 4) x) 1) (/ (+ (pow x 4) x) 1) (/ (+ (* 1 1) (- (* x x) (* 1 x))) (cbrt (+ (pow x 4) x))) (/ (+ (* 1 1) (- (* x x) (* 1 x))) (sqrt (+ (pow x 4) x))) (/ (+ (* 1 1) (- (* x x) (* 1 x))) (+ (pow x 4) x)) (/ (+ (* 1 1) (- (* x x) (* 1 x))) (+ (pow x 4) x)) (/ (+ (pow x 4) x) (+ (pow (* 1 1) 3) (pow (- (* x x) (* 1 x)) 3))) (/ (+ (pow x 4) x) (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x))))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* (pow x 4) (pow x 4)) (- (* x x) (* (pow x 4) x)))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (- (pow x 4) x)) (/ (exp (* x x)) (exp (* 1 x))) (log (- (* x x) (* 1 x))) (exp (- (* x x) (* 1 x))) (* (cbrt (- (* x x) (* 1 x))) (cbrt (- (* x x) (* 1 x)))) (cbrt (- (* x x) (* 1 x))) (* (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x))) (- (* x x) (* 1 x))) (sqrt (- (* x x) (* 1 x))) (sqrt (- (* x x) (* 1 x))) (- (pow (* x x) 3) (pow (* 1 x) 3)) (+ (* (* x x) (* x x)) (+ (* (* 1 x) (* 1 x)) (* (* x x) (* 1 x)))) (- (* 1 x)) (- (* (* x x) (* x x)) (* (* 1 x) (* 1 x))) (+ (* x x) (* 1 x)) (- x 1) (- (* 1 x)) (* (exp (* 1 1)) (/ (exp (* x x)) (exp (* 1 x)))) (* (exp (* 1 1)) (exp (- (* x x) (* 1 x)))) (log (+ (* 1 1) (- (* x x) (* 1 x)))) (exp (+ (* 1 1) (- (* x x) (* 1 x)))) (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (* (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x)))) (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (+ (pow (* 1 1) 3) (pow (- (* x x) (* 1 x)) 3)) (+ (* (* 1 1) (* 1 1)) (- (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x))) (* (* 1 1) (- (* x x) (* 1 x))))) (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))) (- (* 1 1) (- (* x x) (* 1 x))) (+ 1 (- (* x x) (* 1 x))) (+ (* 1 1) (* x x)) (+ (* 1 1) (* x x)) (+ (* 1 1) (* x x)) (* (exp (pow x 4)) (exp x)) (log (+ (pow x 4) x)) (exp (+ (pow x 4) x)) (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (cbrt (+ (pow x 4) x)) (* (* (+ (pow x 4) x) (+ (pow x 4) x)) (+ (pow x 4) x)) (sqrt (+ (pow x 4) x)) (sqrt (+ (pow x 4) x)) (+ (pow (pow x 4) 3) (pow x 3)) (+ (* (pow x 4) (pow x 4)) (- (* x x) (* (pow x 4) x))) (- (* (pow x 4) (pow x 4)) (* x x)) (- (pow x 4) x) (+ (pow x 4) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (- (pow x 2) x) (- (pow x 2) x) (- (pow x 2) x) (- (+ (pow x 2) 1) x) (- (+ (pow x 2) 1) x) (- (+ (pow x 2) 1) x) (+ x (pow x 4)) (+ x (pow x 4)) (+ x (pow x 4)) 0.557 * * [simplify]: iteration 0 : 320 enodes (cost 687 ) 0.565 * * [simplify]: iteration 1 : 1618 enodes (cost 617 ) 0.597 * * [simplify]: iteration 2 : 5002 enodes (cost 611 ) 0.601 * [simplify]: Simplified to: (log (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (log (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (exp (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (pow (/ (+ (pow x 4) x) (- (+ 1 (pow x 2)) x)) 3) (* (cbrt (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (cbrt (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x)))))) (cbrt (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (pow (/ (+ (pow x 4) x) (- (+ 1 (pow x 2)) x)) 3) (sqrt (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (sqrt (/ (+ (pow x 4) x) (+ 1 (- (* x x) (* 1 x))))) (- (+ (pow x 4) x)) (- (+ 1 (* x (- x 1)))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (* (cbrt (+ 1 (- (* x x) (* 1 x)))) (cbrt (+ 1 (- (* x x) (* 1 x)))))) (/ (cbrt (+ (pow x 4) x)) (cbrt (+ 1 (- (* x x) (* 1 x))))) (/ (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (sqrt (+ 1 (- (* x x) (* 1 x))))) (/ (cbrt (+ (pow x 4) x)) (sqrt (+ 1 (- (* x x) (* 1 x))))) (* (cbrt (+ 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(/ (+ (pow x 4) x) (cbrt (+ 1 (- (* x x) (* 1 x))))) (/ 1 (sqrt (+ 1 (- (* x x) (* 1 x))))) (/ (+ (pow x 4) x) (sqrt (+ 1 (- (* x x) (* 1 x))))) 1 (/ (+ (pow x 4) x) (- (+ 1 (pow x 2)) x)) 1 (/ (+ (pow x 4) x) (- (+ 1 (pow x 2)) x)) (/ 1 (- (+ 1 (pow x 2)) x)) (/ (- (+ 1 (pow x 2)) x) (+ (pow x 4) x)) (/ (+ (pow x 4) x) (* (cbrt (+ 1 (- (* x x) (* 1 x)))) (cbrt (+ 1 (- (* x x) (* 1 x)))))) (/ (+ (pow x 4) x) (sqrt (+ 1 (- (* x x) (* 1 x))))) (+ (pow x 4) x) (+ (pow x 4) x) (/ (+ 1 (- (* x x) (* 1 x))) (cbrt (+ (pow x 4) x))) (/ (- (+ 1 (pow x 2)) x) (sqrt (+ (pow x 4) x))) (/ (- (+ 1 (pow x 2)) x) (+ (pow x 4) x)) (/ (- (+ 1 (pow x 2)) x) (+ (pow x 4) x)) (/ (+ (pow x 4) x) (+ 1 (pow (- (* x x) (* 1 x)) 3))) (/ (+ (pow x 4) x) (- 1 (* (pow x 2) (* (- x 1) (- x 1))))) (* (- (+ (pow x 8) (pow x 2)) (pow x 5)) (- (+ 1 (* x x)) x)) (* (- (pow x 4) x) (- (+ 1 (* x x)) x)) (exp (- (pow x 2) x)) (log (* x (- x 1))) (exp (- (pow x 2) x)) (* (cbrt (- (* x x) (* 1 x))) (cbrt (- (* x x) (* 1 x)))) (cbrt (- (* x x) (* 1 x))) (pow (* x (- x 1)) 3) (sqrt (- (* x x) (* 1 x))) (sqrt (- (* x x) (* 1 x))) (- (pow x 6) (pow x 3)) (* x (+ (pow x 3) (* x (+ x 1)))) (- x) (* x (- (pow x 3) x)) (* x (+ x 1)) (- x 1) (- x) (exp (+ 1 (* x (- x 1)))) (exp (+ 1 (* x (- x 1)))) (log (- (+ 1 (pow x 2)) x)) (exp (+ 1 (* x (- x 1)))) (* (cbrt (+ 1 (- (* x x) (* 1 x)))) (cbrt (+ 1 (- (* x x) (* 1 x))))) (cbrt (+ 1 (- (* x x) (* 1 x)))) (pow (- (+ 1 (pow x 2)) x) 3) (sqrt (+ 1 (- (* x x) (* 1 x)))) (sqrt (+ 1 (- (* x x) (* 1 x)))) (+ 1 (pow (- (* x x) (* 1 x)) 3)) (+ (* (* x (- x 1)) (- (* x (- x 1)) 1)) 1) (- 1 (* (pow x 2) (* (- x 1) (- x 1)))) (+ (- 1 (pow x 2)) x) (- (+ 1 (pow x 2)) x) (+ (pow x 2) 1) (+ (pow x 2) 1) (+ (pow x 2) 1) (exp (+ (pow x 4) x)) (log (+ (pow x 4) x)) (exp (+ (pow x 4) x)) (* (cbrt (+ (pow x 4) x)) (cbrt (+ (pow x 4) x))) (cbrt (+ (pow x 4) x)) (pow (+ (pow x 4) x) 3) (sqrt (+ (pow x 4) x)) (sqrt (+ (pow x 4) x)) (+ (pow (pow x 4) 3) (pow x 3)) (- (+ (pow x 8) (pow x 2)) (pow x 5)) (- (pow x 8) (pow x 2)) (- (pow x 4) x) (+ (pow x 4) x) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* x (- x 1)) (* x (- x 1)) (* x (- x 1)) (- (+ 1 (pow x 2)) x) (- (+ 1 (pow x 2)) x) (- (+ 1 (pow x 2)) x) (+ (pow x 4) x) (+ (pow x 4) x) (+ (pow x 4) x) 0.601 * * * [progress]: adding candidates to table 0.749 * [progress]: [Phase 3 of 3] Extracting. 0.749 * * [regime]: Finding splitpoints for: (# #) 0.749 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 0.749 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 0.759 * * * * [regimes]: Trying to branch on x from (# #) 0.771 * * * [regime]: Found split indices: #