8.466 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))) 0.018 * [simplify]: Sending expressions to egg_math: (- (* h0 h1) (* h2 (* (* h1 h1) h1))) 0.020 * * [simplify]: iteration 0 : 16 enodes (cost 5 ) 0.021 * * [simplify]: iteration 1 : 40 enodes (cost 4 ) 0.023 * * [simplify]: iteration 2 : 88 enodes (cost 4 ) 0.025 * * [simplify]: iteration 3 : 142 enodes (cost 4 ) 0.028 * * [simplify]: iteration 4 : 202 enodes (cost 4 ) 0.031 * * [simplify]: iteration 5 : 400 enodes (cost 4 ) 0.040 * * [simplify]: iteration 6 : 1349 enodes (cost 4 ) 0.073 * * [simplify]: iteration 7 : 4708 enodes (cost 4 ) 0.202 * * [simplify]: iteration 8 : 5001 enodes (cost 4 ) 0.203 * [simplify]: Simplified to: (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) 0.205 * * [progress]: iteration 1 / 4 0.205 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.213 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.229 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.251 * * * [progress]: generating series expansions 0.251 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.252 * [approximate]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.275 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.276 * [approximate]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in x 0.276 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.276 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in x 0.276 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.276 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.300 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.300 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.300 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.300 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.302 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.302 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.302 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.302 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.330 * [approximate]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in x 0.330 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.330 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.330 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.330 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.332 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.332 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.332 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.365 * * * [progress]: simplifying candidates 0.366 * [simplify]: Simplifying using # : (expm1 (* 0.12900613773279798 (* x x))) (log1p (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)) (+ (log 0.12900613773279798) (+ (log x) (log x))) (+ (log 0.12900613773279798) (log (* x x))) (log (* 0.12900613773279798 (* x x))) (exp (* 0.12900613773279798 (* x x))) (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) x) (* (* x x) x))) (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x)))) (cbrt (* 0.12900613773279798 (* x x))) (* (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))) (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x) (* 0.12900613773279798 x) (* (cbrt 0.12900613773279798) (* x x)) (* (sqrt 0.12900613773279798) (* x x)) (* 0.12900613773279798 (* x x)) (expm1 (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (log1p (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (+ (log x) (log (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (log (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (exp (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (* (* x x) x) (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (* (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (sqrt x) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (sqrt x) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* x (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* (* x x) 0.12900613773279798)))) (* x (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))) (* x (fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* (* x x) 0.12900613773279798)))) (* x (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))) (* x (fma 1 0.954929658551372 (- (* (* x x) 0.12900613773279798)))) (* x (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))) (* x 0.954929658551372) (* x (- (* 0.12900613773279798 (* x x)))) (* x 0.954929658551372) (* x (- (* 0.12900613773279798 (* x x)))) (* (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* (* x x) 0.12900613773279798))) x) (* (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798)) x) (* (fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* (* x x) 0.12900613773279798))) x) (* (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798)) x) (* (fma 1 0.954929658551372 (- (* (* x x) 0.12900613773279798))) x) (* (fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798)) x) (* 0.954929658551372 x) (* (- (* 0.12900613773279798 (* x x))) x) (* 0.954929658551372 x) (* (- (* 0.12900613773279798 (* x x))) x) (* x (* (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* x 1) (* (cbrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- (pow 0.954929658551372 3) (pow (* 0.12900613773279798 (* x x)) 3))) (* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))))) (* 0.12900613773279798 (pow x 2)) (* 0.12900613773279798 (pow x 2)) (* 0.12900613773279798 (pow x 2)) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) 0.366 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (* h1 h1))) (log1p (* h0 (* h1 h1))) (* h0 (* h1 h1)) (* h0 (* h1 h1)) (+ (log h0) (+ (log h1) (log h1))) (+ (log h0) (log (* h1 h1))) (log (* h0 (* h1 h1))) (exp (* h0 (* h1 h1))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (* (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (* h0 (* h1 h1))) (cbrt (* h0 (* h1 h1)))) (cbrt (* h0 (* h1 h1))) (* (* (* h0 (* h1 h1)) (* h0 (* h1 h1))) (* h0 (* h1 h1))) (sqrt (* h0 (* h1 h1))) (sqrt (* h0 (* h1 h1))) (* (sqrt h0) h1) (* (sqrt h0) h1) (* h0 h1) (* (cbrt h0) (* h1 h1)) (* (sqrt h0) (* h1 h1)) (* h0 (* h1 h1)) (expm1 (* h1 (- h2 (* h0 (* h1 h1))))) (log1p (* h1 (- h2 (* h0 (* h1 h1))))) (* h1 (- h2 (* h0 (* h1 h1)))) (+ (log h1) (log (- h2 (* h0 (* h1 h1))))) (log (* h1 (- h2 (* h0 (* h1 h1))))) (exp (* h1 (- h2 (* h0 (* h1 h1))))) (* (* (* h1 h1) h1) (* (* (- h2 (* h0 (* h1 h1))) (- h2 (* h0 (* h1 h1)))) (- h2 (* h0 (* h1 h1))))) (* (cbrt (* h1 (- h2 (* h0 (* h1 h1))))) (cbrt (* h1 (- h2 (* h0 (* h1 h1)))))) (cbrt (* h1 (- h2 (* h0 (* h1 h1))))) (* (* (* h1 (- h2 (* h0 (* h1 h1)))) (* h1 (- h2 (* h0 (* h1 h1))))) (* h1 (- h2 (* h0 (* h1 h1))))) (sqrt (* h1 (- h2 (* h0 (* h1 h1))))) (sqrt (* h1 (- h2 (* h0 (* h1 h1))))) (* (sqrt h1) (sqrt (- h2 (* h0 (* h1 h1))))) (* (sqrt h1) (sqrt (- h2 (* h0 (* h1 h1))))) (* h1 (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (* h1 h1) h0)))) (* h1 (fma (- (* h1 h1)) h0 (* (* h1 h1) h0))) (* h1 (fma (sqrt h2) (sqrt h2) (- (* (* h1 h1) h0)))) (* h1 (fma (- (* h1 h1)) h0 (* (* h1 h1) h0))) (* h1 (fma 1 h2 (- (* (* h1 h1) h0)))) (* h1 (fma (- (* h1 h1)) h0 (* (* h1 h1) h0))) (* h1 h2) (* h1 (- (* h0 (* h1 h1)))) (* h1 h2) (* h1 (- (* h0 (* h1 h1)))) (* (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (* h1 h1) h0))) h1) (* (fma (- (* h1 h1)) h0 (* (* h1 h1) h0)) h1) (* (fma (sqrt h2) (sqrt h2) (- (* (* h1 h1) h0))) h1) (* (fma (- (* h1 h1)) h0 (* (* h1 h1) h0)) h1) (* (fma 1 h2 (- (* (* h1 h1) h0))) h1) (* (fma (- (* h1 h1)) h0 (* (* h1 h1) h0)) h1) (* h2 h1) (* (- (* h0 (* h1 h1))) h1) (* h2 h1) (* (- (* h0 (* h1 h1))) h1) (* h1 (* (cbrt (- h2 (* h0 (* h1 h1)))) (cbrt (- h2 (* h0 (* h1 h1)))))) (* h1 (sqrt (- h2 (* h0 (* h1 h1))))) (* h1 1) (* (cbrt h1) (- h2 (* h0 (* h1 h1)))) (* (sqrt h1) (- h2 (* h0 (* h1 h1)))) (* h1 (- h2 (* h0 (* h1 h1)))) (* h1 (- (pow h2 3) (pow (* h0 (* h1 h1)) 3))) (* h1 (- (* h2 h2) (* (* h0 (* h1 h1)) (* h0 (* h1 h1))))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) 0.369 * * [simplify]: iteration 0 : 225 enodes (cost 321 ) 0.374 * * [simplify]: iteration 1 : 1006 enodes (cost 278 ) 0.395 * * [simplify]: iteration 2 : 5001 enodes (cost 267 ) 0.397 * [simplify]: Simplified to: (expm1 (* 0.12900613773279798 (* x x))) (log1p (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)) (log (* 0.12900613773279798 (* x x))) (log (* 0.12900613773279798 (* x x))) (log (* 0.12900613773279798 (* x x))) (exp (* 0.12900613773279798 (* x x))) (pow (* 0.12900613773279798 (* x x)) 3) (pow (* 0.12900613773279798 (* x x)) 3) (* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x)))) (cbrt (* 0.12900613773279798 (* x x))) (pow (* 0.12900613773279798 (* x x)) 3) (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))) (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x) (* 0.12900613773279798 x) (* (cbrt 0.12900613773279798) (* x x)) (* (sqrt 0.12900613773279798) (* x x)) (* 0.12900613773279798 (* x x)) (expm1 (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (log1p (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (log (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (log (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (exp (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (pow (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) 3) (* (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (pow (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) 3) (sqrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (* (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (pow x 1/2)) (* (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (pow x 1/2)) (* x (+ (pow (cbrt 0.954929658551372) 3) (- (* 0.12900613773279798 (* x x))))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x (+ (pow (cbrt 0.954929658551372) 3) (- (* 0.12900613773279798 (* x x))))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x (* (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) x (* (cbrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- (pow 0.954929658551372 3) (pow (* 0.12900613773279798 (* x x)) 3))) (fma x (* 0.954929658551372 0.954929658551372) (* x (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4)))) (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* x (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) 0.397 * * * [progress]: adding candidates to table 0.471 * * [progress]: iteration 2 / 4 0.471 * * * [progress]: picking best candidate 0.477 * * * * [pick]: Picked # 0.477 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.483 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.499 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.520 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.521 * [approximate]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.529 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in (x) around 0 0.529 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.530 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.537 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.545 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.545 * [approximate]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in x 0.545 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) in x 0.545 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.545 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x) in x 0.545 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))) in x 0.545 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.545 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.569 * [approximate]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.570 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.570 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.570 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.570 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.572 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.572 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.572 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.572 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.600 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.600 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.600 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x)) in x 0.602 * [taylor]: Taking taylor expansion of -1 in x 0.602 * [taylor]: Taking taylor expansion of (/ (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) x) in x 0.602 * [taylor]: Taking taylor expansion of (- 0.954929658551372 (* 0.12900613773279798 (/ 1 (pow x 2)))) in x 0.602 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.602 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 2))) in x 0.602 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.634 * * * [progress]: simplifying candidates 0.635 * [simplify]: Simplifying using # : (expm1 (* (* 0.12900613773279798 x) x)) (log1p (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (+ (+ (log 0.12900613773279798) (log x)) (log x)) (+ (log (* 0.12900613773279798 x)) (log x)) (log (* (* 0.12900613773279798 x) x)) (exp (* (* 0.12900613773279798 x) x)) (* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x)) (* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x)) (* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x))) (cbrt (* (* 0.12900613773279798 x) x)) (* (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) (* (cbrt x) (cbrt x))) (* (* 0.12900613773279798 x) (sqrt x)) (* (* 0.12900613773279798 x) 1) (* x x) (expm1 (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (log1p (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (+ (log x) (log (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (log (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (exp (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (* (* x x) x) (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))) (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (* (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (sqrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (sqrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (sqrt x) (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (sqrt x) (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* x (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* x (* 0.12900613773279798 x))))) (* x (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))) (* x (fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* x (* 0.12900613773279798 x))))) (* x (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))) (* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x))))) (* x (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))) (* x 0.954929658551372) (* x (- (* (* 0.12900613773279798 x) x))) (* x 0.954929658551372) (* x (- (* (* 0.12900613773279798 x) x))) (* (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* x (* 0.12900613773279798 x)))) x) (* (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x))) x) (* (fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* x (* 0.12900613773279798 x)))) x) (* (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x))) x) (* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x) (* (fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x))) x) (* 0.954929658551372 x) (* (- (* (* 0.12900613773279798 x) x)) x) (* 0.954929658551372 x) (* (- (* (* 0.12900613773279798 x) x)) x) (* x (* (cbrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (cbrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))) (* x (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* x 1) (* (cbrt x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (sqrt x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (* x (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)))) (* 0.12900613773279798 (pow x 2)) (* 0.12900613773279798 (pow x 2)) (* 0.12900613773279798 (pow x 2)) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) 0.636 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) h1)) (log1p (* (* h0 h1) h1)) (* (* h0 h1) h1) (* (* h0 h1) h1) (+ (+ (log h0) (log h1)) (log h1)) (+ (log (* h0 h1)) (log h1)) (log (* (* h0 h1) h1)) (exp (* (* h0 h1) h1)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (* (* h0 h1) (* (cbrt h1) (cbrt h1))) (* (* h0 h1) (sqrt h1)) (* (* h0 h1) 1) (* h1 h1) (expm1 (* h1 (- h2 (* (* h0 h1) h1)))) (log1p (* h1 (- h2 (* (* h0 h1) h1)))) (* h1 (- h2 (* (* h0 h1) h1))) (+ (log h1) (log (- h2 (* (* h0 h1) h1)))) (log (* h1 (- h2 (* (* h0 h1) h1)))) (exp (* h1 (- h2 (* (* h0 h1) h1)))) (* (* (* h1 h1) h1) (* (* (- h2 (* (* h0 h1) h1)) (- h2 (* (* h0 h1) h1))) (- h2 (* (* h0 h1) h1)))) (* (cbrt (* h1 (- h2 (* (* h0 h1) h1)))) (cbrt (* h1 (- h2 (* (* h0 h1) h1))))) (cbrt (* h1 (- h2 (* (* h0 h1) h1)))) (* (* (* h1 (- h2 (* (* h0 h1) h1))) (* h1 (- h2 (* (* h0 h1) h1)))) (* h1 (- h2 (* (* h0 h1) h1)))) (sqrt (* h1 (- h2 (* (* h0 h1) h1)))) (sqrt (* h1 (- h2 (* (* h0 h1) h1)))) (* (sqrt h1) (sqrt (- h2 (* (* h0 h1) h1)))) (* (sqrt h1) (sqrt (- h2 (* (* h0 h1) h1)))) (* h1 (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* h1 (* h0 h1))))) (* h1 (fma (- h1) (* h0 h1) (* h1 (* h0 h1)))) (* h1 (fma (sqrt h2) (sqrt h2) (- (* h1 (* h0 h1))))) (* h1 (fma (- h1) (* h0 h1) (* h1 (* h0 h1)))) (* h1 (fma 1 h2 (- (* h1 (* h0 h1))))) (* h1 (fma (- h1) (* h0 h1) (* h1 (* h0 h1)))) (* h1 h2) (* h1 (- (* (* h0 h1) h1))) (* h1 h2) (* h1 (- (* (* h0 h1) h1))) (* (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* h1 (* h0 h1)))) h1) (* (fma (- h1) (* h0 h1) (* h1 (* h0 h1))) h1) (* (fma (sqrt h2) (sqrt h2) (- (* h1 (* h0 h1)))) h1) (* (fma (- h1) (* h0 h1) (* h1 (* h0 h1))) h1) (* (fma 1 h2 (- (* h1 (* h0 h1)))) h1) (* (fma (- h1) (* h0 h1) (* h1 (* h0 h1))) h1) (* h2 h1) (* (- (* (* h0 h1) h1)) h1) (* h2 h1) (* (- (* (* h0 h1) h1)) h1) (* h1 (* (cbrt (- h2 (* (* h0 h1) h1))) (cbrt (- h2 (* (* h0 h1) h1))))) (* h1 (sqrt (- h2 (* (* h0 h1) h1)))) (* h1 1) (* (cbrt h1) (- h2 (* (* h0 h1) h1))) (* (sqrt h1) (- h2 (* (* h0 h1) h1))) (* h1 (- h2 (* (* h0 h1) h1))) (* h1 (- (pow h2 3) (pow (* (* h0 h1) h1) 3))) (* h1 (- (* h2 h2) (* (* (* h0 h1) h1) (* (* h0 h1) h1)))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) 0.639 * * [simplify]: iteration 0 : 223 enodes (cost 317 ) 0.644 * * [simplify]: iteration 1 : 1111 enodes (cost 275 ) 0.670 * * [simplify]: iteration 2 : 5002 enodes (cost 268 ) 0.672 * [simplify]: Simplified to: (expm1 (* (* 0.12900613773279798 x) x)) (log1p (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (log (* (* 0.12900613773279798 x) x)) (log (* (* 0.12900613773279798 x) x)) (log (* (* 0.12900613773279798 x) x)) (exp (* (* 0.12900613773279798 x) x)) (pow (* (* 0.12900613773279798 x) x) 3) (pow (* (* 0.12900613773279798 x) x) 3) (* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x))) (cbrt (* (* 0.12900613773279798 x) x)) (pow (* (* 0.12900613773279798 x) x) 3) (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) (* (cbrt x) (cbrt x))) (* (* 0.12900613773279798 x) (sqrt x)) (* 0.12900613773279798 x) (pow x 2) (expm1 (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (log1p (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (log (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (log (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (exp (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (pow (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) 3) (* (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))) (cbrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (pow (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) 3) (sqrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (sqrt (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (pow x 1/2)) (* (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (pow x 1/2)) (* x (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* x (* 0.12900613773279798 x))))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x (fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* x (* 0.12900613773279798 x))))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (pow x 3) (+ (- 0.12900613773279798) 0.12900613773279798)) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))) (* x (* (cbrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (cbrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))) (* x (sqrt (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) x (* (cbrt x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (sqrt x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (* (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (fma (* 0.12900613773279798 x) x 0.954929658551372)) (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) 0.672 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 3 / 4 0.744 * * * [progress]: picking best candidate 0.749 * * * * [pick]: Picked # 0.749 * * * [progress]: localizing error 0.756 * * * [progress]: generating rewritten candidates 0.756 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.769 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.779 * * * [progress]: generating series expansions 0.779 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.779 * [approximate]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in (x) around 0 0.779 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 0.779 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.779 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 0.779 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.779 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.791 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in x 0.791 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.791 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in x 0.791 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.791 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.802 * [approximate]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in x 0.802 * [taylor]: Taking taylor expansion of -0.12900613773279798 in x 0.802 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in x 0.803 * [taylor]: Taking taylor expansion of -0.12900613773279798 in x 0.803 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.815 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.816 * [approximate]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in x 0.816 * [taylor]: Taking taylor expansion of (* 0.954929658551372 x) in x 0.816 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 0.816 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.816 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in x 0.816 * [taylor]: Taking taylor expansion of (* 0.954929658551372 x) in x 0.816 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 0.816 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.816 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.838 * [approximate]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in x 0.838 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 0.838 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.838 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in x 0.839 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 0.839 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.870 * [approximate]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in x 0.870 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 0.870 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 0.871 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.904 * * * [progress]: simplifying candidates 0.905 * [simplify]: Simplifying using # : (expm1 (* 0.12900613773279798 (pow x 3))) (log1p (* 0.12900613773279798 (pow x 3))) (+ (log 0.12900613773279798) (* (log x) 3)) (+ (log 0.12900613773279798) (* (log x) 3)) (+ (log 0.12900613773279798) (log (pow x 3))) (log (* 0.12900613773279798 (pow x 3))) (exp (* 0.12900613773279798 (pow x 3))) (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 0.12900613773279798 (pow x 3))) (cbrt (* 0.12900613773279798 (pow x 3)))) (cbrt (* 0.12900613773279798 (pow x 3))) (* (* (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3))) (* 0.12900613773279798 (pow x 3))) (sqrt (* 0.12900613773279798 (pow x 3))) (sqrt (* 0.12900613773279798 (pow x 3))) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (sqrt (pow x 3))) (* (sqrt 0.12900613773279798) (sqrt (pow x 3))) (* (sqrt 0.12900613773279798) (pow x (/ 3 2))) (* (sqrt 0.12900613773279798) (pow x (/ 3 2))) (* 0.12900613773279798 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.12900613773279798 (pow (sqrt x) 3)) (* 0.12900613773279798 (pow 1 3)) (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 0.12900613773279798 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.12900613773279798 (pow (sqrt x) 3)) (* 0.12900613773279798 (pow 1 3)) (* 0.12900613773279798 x) (* 0.12900613773279798 (sqrt (pow x 3))) (* 0.12900613773279798 1) (* 0.12900613773279798 (pow x (/ 3 2))) (* (cbrt 0.12900613773279798) (pow x 3)) (* (sqrt 0.12900613773279798) (pow x 3)) (* 0.12900613773279798 (pow x 3)) (expm1 (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (log1p (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (* (exp (* x 0.954929658551372)) (/ 1 (exp (* 0.12900613773279798 (pow x 3))))) (* (exp (* x 0.954929658551372)) (exp (- (* 0.12900613773279798 (pow x 3))))) (log (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (exp (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (* (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3)))))) (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (* (* (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3)))) (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (sqrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (sqrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (+ (pow (* x 0.954929658551372) 3) (pow (- (* 0.12900613773279798 (pow x 3))) 3)) (+ (* (* x 0.954929658551372) (* x 0.954929658551372)) (- (* (- (* 0.12900613773279798 (pow x 3))) (- (* 0.12900613773279798 (pow x 3)))) (* (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3)))))) (- (* (* x 0.954929658551372) (* x 0.954929658551372)) (* (- (* 0.12900613773279798 (pow x 3))) (- (* 0.12900613773279798 (pow x 3))))) (- (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3)))) (+ (* x 0.954929658551372) 0) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) 0.905 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (pow h1 3))) (log1p (* h0 (pow h1 3))) (+ (log h0) (* (log h1) 3)) (+ (log h0) (* (log h1) 3)) (+ (log h0) (log (pow h1 3))) (log (* h0 (pow h1 3))) (exp (* h0 (pow h1 3))) (* (* (* h0 h0) h0) (* (* (pow h1 3) (pow h1 3)) (pow h1 3))) (* (cbrt (* h0 (pow h1 3))) (cbrt (* h0 (pow h1 3)))) (cbrt (* h0 (pow h1 3))) (* (* (* h0 (pow h1 3)) (* h0 (pow h1 3))) (* h0 (pow h1 3))) (sqrt (* h0 (pow h1 3))) (sqrt (* h0 (pow h1 3))) (* (sqrt h0) (pow (sqrt h1) 3)) (* (sqrt h0) (pow (sqrt h1) 3)) (* (sqrt h0) (pow (sqrt h1) 3)) (* (sqrt h0) (pow (sqrt h1) 3)) (* (sqrt h0) (sqrt (pow h1 3))) (* (sqrt h0) (sqrt (pow h1 3))) (* (sqrt h0) (pow h1 (/ 3 2))) (* (sqrt h0) (pow h1 (/ 3 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 3)) (* h0 (pow (sqrt h1) 3)) (* h0 (pow 1 3)) (* h0 (* h1 h1)) (* h0 (* (cbrt (pow h1 3)) (cbrt (pow h1 3)))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 3)) (* h0 (pow (sqrt h1) 3)) (* h0 (pow 1 3)) (* h0 h1) (* h0 (sqrt (pow h1 3))) (* h0 1) (* h0 (pow h1 (/ 3 2))) (* (cbrt h0) (pow h1 3)) (* (sqrt h0) (pow h1 3)) (* h0 (pow h1 3)) (expm1 (+ (* h1 h2) (- (* h0 (pow h1 3))))) (log1p (+ (* h1 h2) (- (* h0 (pow h1 3))))) (* (exp (* h1 h2)) (/ 1 (exp (* h0 (pow h1 3))))) (* (exp (* h1 h2)) (exp (- (* h0 (pow h1 3))))) (log (+ (* h1 h2) (- (* h0 (pow h1 3))))) (exp (+ (* h1 h2) (- (* h0 (pow h1 3))))) (* (cbrt (+ (* h1 h2) (- (* h0 (pow h1 3))))) (cbrt (+ (* h1 h2) (- (* h0 (pow h1 3)))))) (cbrt (+ (* h1 h2) (- (* h0 (pow h1 3))))) (* (* (+ (* h1 h2) (- (* h0 (pow h1 3)))) (+ (* h1 h2) (- (* h0 (pow h1 3))))) (+ (* h1 h2) (- (* h0 (pow h1 3))))) (sqrt (+ (* h1 h2) (- (* h0 (pow h1 3))))) (sqrt (+ (* h1 h2) (- (* h0 (pow h1 3))))) (+ (pow (* h1 h2) 3) (pow (- (* h0 (pow h1 3))) 3)) (+ (* (* h1 h2) (* h1 h2)) (- (* (- (* h0 (pow h1 3))) (- (* h0 (pow h1 3)))) (* (* h1 h2) (- (* h0 (pow h1 3)))))) (- (* (* h1 h2) (* h1 h2)) (* (- (* h0 (pow h1 3))) (- (* h0 (pow h1 3))))) (- (* h1 h2) (- (* h0 (pow h1 3)))) (+ (* h1 h2) 0) (* h0 (pow h1 3)) (* h0 (pow h1 3)) (* h0 (pow h1 3)) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) 0.909 * * [simplify]: iteration 0 : 227 enodes (cost 255 ) 0.914 * * [simplify]: iteration 1 : 1119 enodes (cost 225 ) 0.943 * * [simplify]: iteration 2 : 5002 enodes (cost 221 ) 0.945 * [simplify]: Simplified to: (expm1 (* 0.12900613773279798 (pow x 3))) (log1p (* 0.12900613773279798 (pow x 3))) (log (* 0.12900613773279798 (pow x 3))) (log (* 0.12900613773279798 (pow x 3))) (log (* 0.12900613773279798 (pow x 3))) (log (* 0.12900613773279798 (pow x 3))) (exp (* 0.12900613773279798 (pow x 3))) (pow (* 0.12900613773279798 (pow x 3)) 3) (* (cbrt (* 0.12900613773279798 (pow x 3))) (cbrt (* 0.12900613773279798 (pow x 3)))) (cbrt (* 0.12900613773279798 (pow x 3))) (pow (* 0.12900613773279798 (pow x 3)) 3) (sqrt (* 0.12900613773279798 (pow x 3))) (sqrt (* 0.12900613773279798 (pow x 3))) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (pow (sqrt x) 3)) (* (sqrt 0.12900613773279798) (sqrt (pow x 3))) (* (sqrt 0.12900613773279798) (sqrt (pow x 3))) (* (sqrt 0.12900613773279798) (pow x (/ 3 2))) (* (sqrt 0.12900613773279798) (pow x (/ 3 2))) (* (* 0.12900613773279798 x) x) (* 0.12900613773279798 (pow (sqrt x) 3)) 0.12900613773279798 (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x) (* 0.12900613773279798 (pow (sqrt x) 3)) 0.12900613773279798 (* 0.12900613773279798 x) (* 0.12900613773279798 (sqrt (pow x 3))) 0.12900613773279798 (* 0.12900613773279798 (pow x (/ 3 2))) (* (cbrt 0.12900613773279798) (pow x 3)) (* (sqrt 0.12900613773279798) (pow x 3)) (* 0.12900613773279798 (pow x 3)) (expm1 (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (log1p (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (exp (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (exp (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (log (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (exp (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (* (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3)))))) (cbrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (pow (fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3)))) 3) (sqrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (sqrt (+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))) (- (pow (* x 0.954929658551372) 3) (pow (* 0.12900613773279798 (pow x 3)) 3)) (fma (* x x) (* 0.954929658551372 0.954929658551372) (fma (pow x 6) (* 0.12900613773279798 0.12900613773279798) (* (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3))))) (fma (* x x) (* 0.954929658551372 0.954929658551372) (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 6))) (fma x 0.954929658551372 (* 0.12900613773279798 (pow x 3))) (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3)))) (fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3)))) (fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3)))) 0.945 * * * [progress]: adding candidates to table 1.045 * * [progress]: iteration 4 / 4 1.045 * * * [progress]: picking best candidate 1.048 * * * * [pick]: Picked # 1.048 * * * [progress]: localizing error 1.055 * * * [progress]: generating rewritten candidates 1.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 1.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.095 * * * [progress]: generating series expansions 1.095 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 1.095 * [approximate]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 1.095 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.095 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 1.095 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.095 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.106 * [approximate]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in x 1.107 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.107 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (/ 0.12900613773279798 (pow x 3)) in x 1.107 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.107 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in x 1.118 * [taylor]: Taking taylor expansion of -0.12900613773279798 in x 1.118 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (/ -0.12900613773279798 (pow x 3)) in x 1.119 * [taylor]: Taking taylor expansion of -0.12900613773279798 in x 1.119 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.129 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.129 * [approximate]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in x 1.129 * [taylor]: Taking taylor expansion of (* 0.954929658551372 x) in x 1.129 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 1.129 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.129 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) in x 1.129 * [taylor]: Taking taylor expansion of (* 0.954929658551372 x) in x 1.129 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (pow x 3)) in x 1.130 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.130 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.152 * [approximate]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in x 1.152 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 1.152 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 1.152 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (- (* 0.954929658551372 (/ 1 x)) (* 0.12900613773279798 (/ 1 (pow x 3)))) in x 1.153 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 1.153 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.188 * [approximate]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in x 1.188 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 1.188 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (- (* 0.12900613773279798 (/ 1 (pow x 3))) (* 0.954929658551372 (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of (* 0.12900613773279798 (/ 1 (pow x 3))) in x 1.189 * [taylor]: Taking taylor expansion of 0.12900613773279798 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.189 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (* 0.954929658551372 (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of 0.954929658551372 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.220 * * * [progress]: simplifying candidates 1.220 * [simplify]: Simplifying using # : (expm1 (* (* 0.12900613773279798 x) (* x x))) (log1p (* (* 0.12900613773279798 x) (* x x))) (* (* 0.12900613773279798 x) (* x x)) (* (* 0.12900613773279798 x) (* x x)) (* (* 0.12900613773279798 x) (* x x)) (* (* 0.12900613773279798 x) (* x x)) (+ (+ (log 0.12900613773279798) (log x)) (+ (log x) (log x))) (+ (+ (log 0.12900613773279798) (log x)) (log (* x x))) (+ (log (* 0.12900613773279798 x)) (+ (log x) (log x))) (+ (log (* 0.12900613773279798 x)) (log (* x x))) (log (* (* 0.12900613773279798 x) (* x x))) (exp (* (* 0.12900613773279798 x) (* x x))) (* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* 0.12900613773279798 x) (* x x))) (cbrt (* (* 0.12900613773279798 x) (* x x)))) (cbrt (* (* 0.12900613773279798 x) (* x x))) (* (* (* (* 0.12900613773279798 x) (* x x)) (* (* 0.12900613773279798 x) (* x x))) (* (* 0.12900613773279798 x) (* x x))) (sqrt (* (* 0.12900613773279798 x) (* x x))) (sqrt (* (* 0.12900613773279798 x) (* x x))) (* (* 0.12900613773279798 x) x) (* x (* x x)) (expm1 (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (log1p (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (* (exp (* x 0.954929658551372)) (/ 1 (exp (* (* 0.12900613773279798 x) (* x x))))) (* (exp (* x 0.954929658551372)) (exp (- (* (* 0.12900613773279798 x) (* x x))))) (log (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (exp (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (* (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x)))))) (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (* (* (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x)))) (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (sqrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (sqrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (+ (pow (* x 0.954929658551372) 3) (pow (- (* (* 0.12900613773279798 x) (* x x))) 3)) (+ (* (* x 0.954929658551372) (* x 0.954929658551372)) (- (* (- (* (* 0.12900613773279798 x) (* x x))) (- (* (* 0.12900613773279798 x) (* x x)))) (* (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x)))))) (- (* (* x 0.954929658551372) (* x 0.954929658551372)) (* (- (* (* 0.12900613773279798 x) (* x x))) (- (* (* 0.12900613773279798 x) (* x x))))) (- (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x)))) (+ (* x 0.954929658551372) 0) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3))) 1.221 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) (* h1 h1))) (log1p (* (* h0 h1) (* h1 h1))) (* (* h0 h1) (* h1 h1)) (* (* h0 h1) (* h1 h1)) (* (* h0 h1) (* h1 h1)) (* (* h0 h1) (* h1 h1)) (+ (+ (log h0) (log h1)) (+ (log h1) (log h1))) (+ (+ (log h0) (log h1)) (log (* h1 h1))) (+ (log (* h0 h1)) (+ (log h1) (log h1))) (+ (log (* h0 h1)) (log (* h1 h1))) (log (* (* h0 h1) (* h1 h1))) (exp (* (* h0 h1) (* h1 h1))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (* (* h0 h1) (* h1 h1))) (cbrt (* (* h0 h1) (* h1 h1)))) (cbrt (* (* h0 h1) (* h1 h1))) (* (* (* (* h0 h1) (* h1 h1)) (* (* h0 h1) (* h1 h1))) (* (* h0 h1) (* h1 h1))) (sqrt (* (* h0 h1) (* h1 h1))) (sqrt (* (* h0 h1) (* h1 h1))) (* (* h0 h1) h1) (* h1 (* h1 h1)) (expm1 (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (log1p (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (* (exp (* h1 h2)) (/ 1 (exp (* (* h0 h1) (* h1 h1))))) (* (exp (* h1 h2)) (exp (- (* (* h0 h1) (* h1 h1))))) (log (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (exp (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (* (cbrt (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (cbrt (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1)))))) (cbrt (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (* (* (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1)))) (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (sqrt (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (sqrt (+ (* h1 h2) (- (* (* h0 h1) (* h1 h1))))) (+ (pow (* h1 h2) 3) (pow (- (* (* h0 h1) (* h1 h1))) 3)) (+ (* (* h1 h2) (* h1 h2)) (- (* (- (* (* h0 h1) (* h1 h1))) (- (* (* h0 h1) (* h1 h1)))) (* (* h1 h2) (- (* (* h0 h1) (* h1 h1)))))) (- (* (* h1 h2) (* h1 h2)) (* (- (* (* h0 h1) (* h1 h1))) (- (* (* h0 h1) (* h1 h1))))) (- (* h1 h2) (- (* (* h0 h1) (* h1 h1)))) (+ (* h1 h2) 0) (* h0 (pow h1 3)) (* h0 (pow h1 3)) (* h0 (pow h1 3)) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) (- (* h2 h1) (* h0 (pow h1 3))) 1.224 * * [simplify]: iteration 0 : 229 enodes (cost 264 ) 1.229 * * [simplify]: iteration 1 : 1074 enodes (cost 215 ) 1.260 * * [simplify]: iteration 2 : 5001 enodes (cost 194 ) 1.261 * [simplify]: Simplified to: (expm1 (* (* 0.12900613773279798 x) (* x x))) (log1p (* (* 0.12900613773279798 x) (* x x))) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (fma 3 (log x) (log 0.12900613773279798)) (fma 3 (log x) (log 0.12900613773279798)) (fma 3 (log x) (log 0.12900613773279798)) (fma 3 (log x) (log 0.12900613773279798)) (fma 3 (log x) (log 0.12900613773279798)) (pow (exp 0.12900613773279798) (pow x 3)) (pow (* 0.12900613773279798 (pow x 3)) 3) (pow (* 0.12900613773279798 (pow x 3)) 3) (pow (* 0.12900613773279798 (pow x 3)) 3) (pow (* 0.12900613773279798 (pow x 3)) 3) (* (cbrt (* (* 0.12900613773279798 x) (* x x))) (cbrt (* (* 0.12900613773279798 x) (* x x)))) (cbrt (* (* 0.12900613773279798 x) (* x x))) (pow (* 0.12900613773279798 (pow x 3)) 3) (sqrt (* (* 0.12900613773279798 x) (* x x))) (sqrt (* (* 0.12900613773279798 x) (* x x))) (* (* 0.12900613773279798 x) x) (pow x 3) (expm1 (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (log1p (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (pow (exp x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (pow (exp x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (+ (log x) (log (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (pow (exp x) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x)))))) (cbrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (pow (- (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3))) 3) (sqrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (sqrt (+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))) (- (pow (* x 0.954929658551372) 3) (pow (* 0.12900613773279798 (pow x 3)) 3)) (fma (* 0.954929658551372 0.954929658551372) (* x x) (fma (* 0.12900613773279798 0.12900613773279798) (pow x 6) (* (* 0.12900613773279798 (pow x 3)) (fma x 0.954929658551372 0)))) (* (* x x) (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 0.12900613773279798) (pow x 4)))) (fma x 0.954929658551372 (* 0.12900613773279798 (pow x 3))) (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (* 0.12900613773279798 (pow x 3)) (- (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3))) (- (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3))) (- (fma x 0.954929658551372 0) (* 0.12900613773279798 (pow x 3))) 1.261 * * * [progress]: adding candidates to table 1.333 * [progress]: [Phase 3 of 3] Extracting. 1.333 * * [regime]: Finding splitpoints for: (# # #) 1.334 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.334 * * * * [regimes]: Trying to branch on x from (# # #) 1.345 * * * [regime]: Found split indices: #