22.138 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying using # : (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) 0.098 * * [simplify]: iteration 0 : 27 enodes (cost 10 ) 0.099 * * [simplify]: iteration 1 : 72 enodes (cost 10 ) 0.101 * * [simplify]: iteration 2 : 192 enodes (cost 10 ) 0.104 * * [simplify]: iteration 3 : 437 enodes (cost 10 ) 0.110 * * [simplify]: iteration 4 : 816 enodes (cost 10 ) 0.122 * * [simplify]: iteration 5 : 1578 enodes (cost 10 ) 0.142 * * [simplify]: iteration 6 : 2764 enodes (cost 10 ) 0.188 * * [simplify]: iteration 7 : 5002 enodes (cost 10 ) 0.188 * [simplify]: Simplified to: (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) 0.189 * * [progress]: iteration 1 / 4 0.189 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 0.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 0.248 * [approximate]: Approximating (* (sqrt (- a 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 0.289 * [approximate]: Approximating (* (sqrt (- (/ 1 a) 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 0.347 * [approximate]: Approximating (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) in (a) around 0 0.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.376 * [approximate]: Approximating (* 1.0 (* (/ 1 (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in (a) around 0 0.466 * [approximate]: Approximating (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (sqrt 9.0)))) in (a) around 0 0.568 * [approximate]: Approximating (/ 1.0 (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))) in (a) around 0 0.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.623 * [approximate]: Approximating (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in (a rand) around 0 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 0.695 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 0.752 * [approximate]: Approximating (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in (a rand) around 0 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 0.786 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 0.838 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 0.899 * [approximate]: Approximating (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in (a rand) around 0 0.906 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 0.916 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 0.941 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 0.959 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.960 * [approximate]: Approximating (* (+ (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) 1.0) (- a 0.3333333333333333)) in (a rand) around 0 0.983 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) 1.0) (- a 0.3333333333333333)) in rand 0.997 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) 1.0) (- a 0.3333333333333333)) in rand 1.023 * [approximate]: Approximating (* (+ (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) 1.0) (- (/ 1 a) 0.3333333333333333)) in (a rand) around 0 1.039 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) 1.0) (- (/ 1 a) 0.3333333333333333)) in rand 1.044 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) 1.0) (- (/ 1 a) 0.3333333333333333)) in rand 1.070 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) 1.0) (- (/ 1 a) 0.3333333333333333)) in rand 1.091 * [approximate]: Approximating (* -1 (* (- 1.0 (* 1.0 (/ 1 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)))) (+ (/ 1 a) 0.3333333333333333))) in (a rand) around 0 1.099 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (* 1.0 (/ 1 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)))) (+ (/ 1 a) 0.3333333333333333))) in rand 1.117 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (* 1.0 (/ 1 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)))) (+ (/ 1 a) 0.3333333333333333))) in rand 1.136 * * * [progress]: simplifying candidates 1.138 * [simplify]: Simplifying using # : (log (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (exp (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))) (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3)))) (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (+ a (/ 1.0 3.0))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (exp (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (neg 1.0) (neg (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ (cbrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (cbrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (sqrt 1.0) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ (sqrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1 (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ 1.0 (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ 1 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1 1) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ 1.0 (sqrt 9.0)) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 1) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (cbrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3))))) (/ 1.0 (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (+ (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand)) (+ (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand)) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (exp (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand)) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand)) (* (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (sqrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (sqrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt rand) (cbrt rand))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 1) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ (cbrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ (sqrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (sqrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) rand) (* (sqrt (+ a (/ 1.0 3.0))) rand) (* 1.0 rand) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (+ (log (- a (/ 1.0 3.0))) (log (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (log (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (exp (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (cbrt (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (cbrt (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))) (cbrt (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (* (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (sqrt (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (sqrt (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (+ (pow 1.0 3) (pow (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 3))) (* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (+ (* 1.0 1.0) (- (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow 1.0 3) (pow (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 3))) (* (+ a (/ 1.0 3.0)) (+ (* 1.0 1.0) (- (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (+ a (/ 1.0 3.0)) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (sqrt (- a (/ 1.0 3.0))) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (sqrt (- a (/ 1.0 3.0))) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* 1.0 (- a (/ 1.0 3.0))) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0))) (* (- a (/ 1.0 3.0)) (* (cbrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))) (* (- a (/ 1.0 3.0)) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- a (/ 1.0 3.0)) 1) (* (cbrt (- a (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (sqrt (- a (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ (pow 1.0 3) (pow (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 3))) (* (- a (/ 1.0 3.0)) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (- (+ (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)) (* 1/2 (/ (* a (sqrt 9.0)) (sqrt (neg 0.3333333333333333))))) (* 1/8 (/ (* (pow a 2) (sqrt 9.0)) (pow (sqrt (neg 0.3333333333333333)) 3)))) (+ (* 0.3333333333333333 (/ (* NAN (sqrt 9.0)) a)) (+ (* 2 (/ (* (pow NAN 5) (sqrt 9.0)) (pow a 2))) (+ (* NAN (sqrt 9.0)) (+ (/ (* (pow NAN 3) (sqrt 9.0)) a) (* 0.6666666666666666 (/ (* (pow NAN 3) (sqrt 9.0)) (pow a 2))))))) (- (+ NAN (+ (* 2 (/ (pow NAN 5) (pow a 2))) (* 6.0 (/ (pow NAN 3) (pow a 2))))) (+ (* 3.0 (/ NAN a)) (/ (pow NAN 3) a))) (- (* 1.0 (/ (sqrt -3.0) (sqrt 9.0))) (+ (* 4.5 (/ a (* (sqrt -3.0) (sqrt 9.0)))) (+ (* 13.5 (/ (pow a 2) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (pow a 2) (* (pow (sqrt -3.0) 3) (sqrt 9.0))))))) (- (+ (* 2.0 (/ (pow NAN 5) (* (pow a 3) (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ NAN (* (pow a 2) (sqrt 9.0)))) (+ (* 0.1111111111111111 (/ NAN (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ NAN (* a (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 3.0 (/ 1 (* a NAN))) (+ (* 9.0 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (* 1.0 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) (+ (* 13.5 (/ (* (pow a 2) rand) (* (sqrt 9.0) (sqrt -3.0)))) (+ (* 4.5 (/ (* a rand) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (* (pow a 2) rand) (* (sqrt 9.0) (pow (sqrt -3.0) 3))))))) (- (+ (* 1.0 (/ (* NAN rand) (* a (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* (pow a 2) (sqrt 9.0)))) (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 3) (sqrt 9.0)))) (* 0.1111111111111111 (/ (* NAN rand) (* (pow a 3) (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ (* NAN rand) a)) (+ (* 3.0 (/ rand (* a NAN))) (+ (* 1.0 (/ rand NAN)) (* 9.0 (/ rand (* (pow a 2) NAN)))))) (* 1.0 (/ (* (pow NAN 3) rand) (pow a 2)))) (- (* 1.0 a) (+ (* 0.3333333333333333 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) 0.3333333333333333)) (- (+ (* 1.0 a) (* 1.0 (/ (* NAN rand) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* a (sqrt 9.0))))) (+ (* 1.0 a) (+ (* 2.6666666666666665 (/ rand NAN)) (+ (* 1.0 (/ (* a rand) NAN)) (* 1.0 (* NAN rand))))) 1.148 * * [simplify]: iteration 0 : 1008 enodes (cost 1422 ) 1.166 * * [simplify]: iteration 1 : 4617 enodes (cost 1341 ) 1.235 * * [simplify]: iteration 2 : 5001 enodes (cost 1341 ) 1.242 * [simplify]: Simplified to: (log (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (exp (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (pow (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 3) (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))) (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3)))) (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (+ a (/ 1.0 3.0))) 1/2 1/2 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (exp (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (pow (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 3) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (pow (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 3) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 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(/ 1.0 (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ 1 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) 1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ 1.0 (sqrt 9.0)) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (cbrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3))))) (/ 1.0 (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (exp (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 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3))) (* (+ (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 1.0)) (* 1.0 1.0)) (+ (* (/ 1.0 3.0) (+ (/ 1.0 3.0) a)) (pow a 2))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (+ (* (/ 1.0 3.0) (+ (/ 1.0 3.0) a)) (pow a 2))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow 1.0 3) (pow (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 3))) (* (+ (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 1.0)) (* 1.0 1.0)) (+ a (/ 1.0 3.0))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (+ a (/ 1.0 3.0)) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (sqrt (- a (/ 1.0 3.0))) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (sqrt (- a (/ 1.0 3.0))) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (cbrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))) (* (- a (/ 1.0 3.0)) (sqrt (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (- a (/ 1.0 3.0)) (* (cbrt (- a (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (sqrt (- a (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (+ (pow 1.0 3) (pow (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) 3))) (* (- a (/ 1.0 3.0)) (- (* 1.0 1.0) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (- (+ (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)) (* 1/2 (/ (* a (sqrt 9.0)) (sqrt (neg 0.3333333333333333))))) (* 1/8 (/ (* (pow a 2) (sqrt 9.0)) (pow (sqrt (neg 0.3333333333333333)) 3)))) (+ (* 0.3333333333333333 (/ (* NAN (sqrt 9.0)) a)) (+ (* 2 (/ (* (pow NAN 5) (sqrt 9.0)) (pow a 2))) (+ (* NAN (sqrt 9.0)) (+ (/ (* (pow NAN 3) (sqrt 9.0)) a) (* 0.6666666666666666 (/ (* (pow NAN 3) (sqrt 9.0)) (pow a 2))))))) (- (+ NAN (+ (* 2 (/ (pow NAN 5) (pow a 2))) (* 6.0 (/ (pow NAN 3) (pow a 2))))) (+ (* 3.0 (/ NAN a)) (/ (pow NAN 3) a))) (- (* 1.0 (/ (sqrt -3.0) (sqrt 9.0))) (+ (* 4.5 (/ a (* (sqrt -3.0) (sqrt 9.0)))) (+ (* 13.5 (/ (pow a 2) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (pow a 2) (* (pow (sqrt -3.0) 3) (sqrt 9.0))))))) (- (+ (* 2.0 (/ (pow NAN 5) (* (pow a 3) (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ NAN (* (pow a 2) (sqrt 9.0)))) (+ (* 0.1111111111111111 (/ NAN (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ NAN (* a (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 3.0 (/ 1 (* a NAN))) (+ (* 9.0 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (* 1.0 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) (+ (* 13.5 (/ (* (pow a 2) rand) (* (sqrt 9.0) (sqrt -3.0)))) (+ (* 4.5 (/ (* a rand) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (* (pow a 2) rand) (* (sqrt 9.0) (pow (sqrt -3.0) 3))))))) (- (+ (* 1.0 (/ (* NAN rand) (* a (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* (pow a 2) (sqrt 9.0)))) (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 3) (sqrt 9.0)))) (* 0.1111111111111111 (/ (* NAN rand) (* (pow a 3) (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ (* NAN rand) a)) (+ (* 3.0 (/ rand (* a NAN))) (+ (* 1.0 (/ rand NAN)) (* 9.0 (/ rand (* (pow a 2) NAN)))))) (* 1.0 (/ (* (pow NAN 3) rand) (pow a 2)))) (- (* 1.0 a) (+ (* 0.3333333333333333 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) 0.3333333333333333)) (* 1.0 (- (+ a (/ (* NAN rand) (sqrt 9.0))) (/ (* (pow NAN 3) rand) (* a (sqrt 9.0))))) (+ (+ (* 1.0 a) (* 2.6666666666666665 (/ rand NAN))) (* 1.0 (+ (/ (* a rand) NAN) (* NAN rand)))) 1.243 * * * [progress]: adding candidates to table 2.693 * * [progress]: iteration 2 / 4 2.693 * * * [progress]: picking best candidate 2.720 * * * * [pick]: Picked # 2.720 * * * [progress]: localizing error 2.732 * * * [progress]: generating rewritten candidates 2.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 2.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.769 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.786 * * * [progress]: generating series expansions 2.786 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.787 * [approximate]: Approximating (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in (a rand) around 0 2.802 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 2.819 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 2.854 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 2.888 * [approximate]: Approximating (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in (a rand) around 0 2.904 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 2.965 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 3.004 * [approximate]: Approximating (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in (a rand) around 0 3.013 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 3.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 3.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 3.079 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 3.080 * [approximate]: Approximating (* (sqrt (- a 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 3.125 * [approximate]: Approximating (* (sqrt (- (/ 1 a) 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 3.181 * [approximate]: Approximating (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) in (a) around 0 3.210 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.211 * [approximate]: Approximating (* 1.0 (* (/ 1 (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in (a) around 0 3.304 * [approximate]: Approximating (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (sqrt 9.0)))) in (a) around 0 3.412 * [approximate]: Approximating (/ 1.0 (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))) in (a) around 0 3.466 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.467 * [approximate]: Approximating (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in (a rand) around 0 3.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 3.503 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in rand 3.599 * [approximate]: Approximating (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in (a rand) around 0 3.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 3.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 3.638 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 3.689 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (* rand (sqrt 9.0))))) in rand 3.750 * [approximate]: Approximating (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in (a rand) around 0 3.757 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 3.767 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 3.793 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) rand)) in rand 3.812 * * * [progress]: simplifying candidates 3.814 * [simplify]: Simplifying using # : (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (+ (log (- a (/ 1.0 3.0))) (+ (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand))) (+ (log (- a (/ 1.0 3.0))) (+ (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand))) (+ (log (- a (/ 1.0 3.0))) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (log (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (exp (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand))) (* (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand))) (* (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (* (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (sqrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (sqrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (* 1.0 rand)) (* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* 1.0 rand)) (* (+ a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt (- a (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (sqrt (- a (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* 1.0 rand)) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (log (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (exp (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))) (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3)))) (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (+ a (/ 1.0 3.0))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (exp (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (neg 1.0) (neg (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ (cbrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (cbrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (sqrt 1.0) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ (sqrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1 (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ 1.0 (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ 1 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1 1) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ 1.0 (sqrt 9.0)) (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 1) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (cbrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt 1.0)) (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) (/ 1.0 (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3))))) (/ 1.0 (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (+ (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand)) (+ (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log rand)) (log (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (exp (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand)) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand)) (* (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (sqrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (sqrt (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt rand) (cbrt rand))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt rand)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 1) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ (cbrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (cbrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ (sqrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ (sqrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ (sqrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (* (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (/ 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (* (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) rand) (* (sqrt (+ a (/ 1.0 3.0))) rand) (* 1.0 rand) (- (+ (* 0.5 (/ (* a rand) (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)))) (* 1.0 (/ (* (sqrt (neg 0.3333333333333333)) rand) (sqrt 9.0)))) (* 0.125 (/ (* (pow a 2) rand) (* (pow (sqrt (neg 0.3333333333333333)) 3) (sqrt 9.0))))) (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 2) (sqrt 9.0)))) (+ (* 1.0 (/ (* (pow NAN 3) rand) (* a (sqrt 9.0)))) (+ (* 1.0 (/ (* NAN rand) (sqrt 9.0))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* a (sqrt 9.0)))) (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))))) (- (+ (* 1.0 (/ (* a rand) NAN)) (+ (* 8.0 (/ rand (* a NAN))) (+ (* 2.6666666666666665 (/ rand NAN)) (* 1.0 (* NAN rand))))) (+ (* 0.3333333333333335 (/ (* NAN rand) a)) (* 1.0 (/ (* (pow NAN 3) rand) a)))) (- (+ (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)) (* 1/2 (/ (* a (sqrt 9.0)) (sqrt (neg 0.3333333333333333))))) (* 1/8 (/ (* (pow a 2) (sqrt 9.0)) (pow (sqrt (neg 0.3333333333333333)) 3)))) (+ (* 0.3333333333333333 (/ (* NAN (sqrt 9.0)) a)) (+ (* 2 (/ (* (pow NAN 5) (sqrt 9.0)) (pow a 2))) (+ (* NAN (sqrt 9.0)) (+ (/ (* (pow NAN 3) (sqrt 9.0)) a) (* 0.6666666666666666 (/ (* (pow NAN 3) (sqrt 9.0)) (pow a 2))))))) (- (+ NAN (+ (* 2 (/ (pow NAN 5) (pow a 2))) (* 6.0 (/ (pow NAN 3) (pow a 2))))) (+ (* 3.0 (/ NAN a)) (/ (pow NAN 3) a))) (- (* 1.0 (/ (sqrt -3.0) (sqrt 9.0))) (+ (* 4.5 (/ a (* (sqrt -3.0) (sqrt 9.0)))) (+ (* 13.5 (/ (pow a 2) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (pow a 2) (* (pow (sqrt -3.0) 3) (sqrt 9.0))))))) (- (+ (* 2.0 (/ (pow NAN 5) (* (pow a 3) (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ NAN (* (pow a 2) (sqrt 9.0)))) (+ (* 0.1111111111111111 (/ NAN (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ NAN (* a (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 3.0 (/ 1 (* a NAN))) (+ (* 9.0 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (* 1.0 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) (+ (* 13.5 (/ (* (pow a 2) rand) (* (sqrt 9.0) (sqrt -3.0)))) (+ (* 4.5 (/ (* a rand) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (* (pow a 2) rand) (* (sqrt 9.0) (pow (sqrt -3.0) 3))))))) (- (+ (* 1.0 (/ (* NAN rand) (* a (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* (pow a 2) (sqrt 9.0)))) (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 3) (sqrt 9.0)))) (* 0.1111111111111111 (/ (* NAN rand) (* (pow a 3) (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ (* NAN rand) a)) (+ (* 3.0 (/ rand (* a NAN))) (+ (* 1.0 (/ rand NAN)) (* 9.0 (/ rand (* (pow a 2) NAN)))))) (* 1.0 (/ (* (pow NAN 3) rand) (pow a 2)))) 3.823 * * [simplify]: iteration 0 : 973 enodes (cost 1341 ) 3.840 * * [simplify]: iteration 1 : 4218 enodes (cost 1216 ) 3.897 * * [simplify]: iteration 2 : 5001 enodes (cost 1216 ) 3.903 * [simplify]: Simplified to: (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (log (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (log (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (log (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (log (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (exp (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (pow (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) 3) (pow (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) 3) (pow (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) 3) (* (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))) (cbrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (pow (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) 3) (sqrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (sqrt (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))) (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (* 1.0 rand)) (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (+ (* (/ 1.0 3.0) (+ (/ 1.0 3.0) a)) (pow a 2))) (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* 1.0 rand)) (* (+ a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt (- a (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (sqrt (- a (/ 1.0 3.0))) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (* (- 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(* 9.0 (- a (/ 1.0 3.0))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (exp (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (pow (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 3) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (pow (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 3) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (neg 1.0) (neg (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (/ (cbrt 1.0) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (cbrt 1.0) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (* 9.0 (- a (/ 1.0 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2.6666666666666665 (/ rand NAN)) (* 1.0 (* NAN rand))))) (+ (* 0.3333333333333335 (/ (* NAN rand) a)) (* 1.0 (/ (* (pow NAN 3) rand) a)))) (- (+ (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)) (* 1/2 (/ (* a (sqrt 9.0)) (sqrt (neg 0.3333333333333333))))) (* 1/8 (/ (* (pow a 2) (sqrt 9.0)) (pow (sqrt (neg 0.3333333333333333)) 3)))) (+ (* 0.3333333333333333 (/ (* NAN (sqrt 9.0)) a)) (+ (* 2 (/ (* (pow NAN 5) (sqrt 9.0)) (pow a 2))) (+ (* NAN (sqrt 9.0)) (+ (/ (* (pow NAN 3) (sqrt 9.0)) a) (* 0.6666666666666666 (/ (* (pow NAN 3) (sqrt 9.0)) (pow a 2))))))) (- (+ NAN (+ (* 2 (/ (pow NAN 5) (pow a 2))) (* 6.0 (/ (pow NAN 3) (pow a 2))))) (+ (* 3.0 (/ NAN a)) (/ (pow NAN 3) a))) (- (* 1.0 (/ (sqrt -3.0) (sqrt 9.0))) (+ (* 4.5 (/ a (* (sqrt -3.0) (sqrt 9.0)))) (+ (* 13.5 (/ (pow a 2) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (pow a 2) (* (pow (sqrt -3.0) 3) (sqrt 9.0))))))) (- (+ (* 2.0 (/ (pow NAN 5) (* (pow a 3) (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ NAN (* (pow a 2) (sqrt 9.0)))) (+ (* 0.1111111111111111 (/ NAN (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ NAN (* a (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 3.0 (/ 1 (* a NAN))) (+ (* 9.0 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (* 1.0 (/ (* rand (sqrt -3.0)) (sqrt 9.0))) (+ (* 13.5 (/ (* (pow a 2) rand) (* (sqrt 9.0) (sqrt -3.0)))) (+ (* 4.5 (/ (* a rand) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (* (pow a 2) rand) (* (sqrt 9.0) (pow (sqrt -3.0) 3))))))) (- (+ (* 1.0 (/ (* NAN rand) (* a (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* (pow a 2) (sqrt 9.0)))) (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 3) (sqrt 9.0)))) (* 0.1111111111111111 (/ (* NAN rand) (* (pow a 3) (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ (* NAN rand) a)) (+ (* 3.0 (/ rand (* a NAN))) (+ (* 1.0 (/ rand NAN)) (* 9.0 (/ rand (* (pow a 2) NAN)))))) (* 1.0 (/ (* (pow NAN 3) rand) (pow a 2)))) 3.904 * * * [progress]: adding candidates to table 5.574 * * [progress]: iteration 3 / 4 5.574 * * * [progress]: picking best candidate 5.600 * * * * [pick]: Picked # 5.600 * * * [progress]: localizing error 5.612 * * * [progress]: generating rewritten candidates 5.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 5.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 5.628 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.672 * * * [progress]: generating series expansions 5.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 5.672 * [approximate]: Approximating (* (sqrt (- a 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 5.715 * [approximate]: Approximating (* (sqrt (- (/ 1 a) 0.3333333333333333)) (sqrt 9.0)) in (a) around 0 5.774 * [approximate]: Approximating (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))) in (a) around 0 5.804 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 5.804 * [approximate]: Approximating (* 1.0 (* (/ 1 (sqrt 9.0)) (sqrt (/ 1 (- a 0.3333333333333333))))) in (a) around 0 5.925 * [approximate]: Approximating (* 1.0 (* (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333))) (/ 1 (sqrt 9.0)))) in (a) around 0 6.029 * [approximate]: Approximating (/ 1.0 (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))) in (a) around 0 6.104 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.105 * [approximate]: Approximating (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in (a rand) around 0 6.120 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 6.140 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 6.171 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 6.206 * [approximate]: Approximating (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in (a rand) around 0 6.221 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 6.224 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 6.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 6.286 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 6.324 * [approximate]: Approximating (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in (a rand) around 0 6.332 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 6.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 6.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* rand (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333)))))) in rand 6.400 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.401 * [approximate]: Approximating (* 1.0 (* (/ 1 (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in (a) around 0 6.473 * [approximate]: Approximating (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (sqrt 9.0)))) in (a) around 0 6.563 * [approximate]: Approximating (* -1.0 (/ (+ (/ 1 a) 0.3333333333333333) (sqrt (* -9.0 (+ (/ 1 a) 0.3333333333333333))))) in (a) around 0 6.636 * * * [progress]: simplifying candidates 6.638 * [simplify]: Simplifying using # : (log (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (exp (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))) (sqrt (* 9.0 (- (pow a 3) (pow (/ 1.0 3.0) 3)))) (sqrt (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (sqrt (* 9.0 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (+ a (/ 1.0 3.0))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- (log 1.0) (log (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (log (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (exp (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (cbrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (/ 1.0 (sqrt 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0.3333333333333333)) 3)))) (+ (* 0.3333333333333333 (/ (* NAN (sqrt 9.0)) a)) (+ (* 2 (/ (* (pow NAN 5) (sqrt 9.0)) (pow a 2))) (+ (* NAN (sqrt 9.0)) (+ (/ (* (pow NAN 3) (sqrt 9.0)) a) (* 0.6666666666666666 (/ (* (pow NAN 3) (sqrt 9.0)) (pow a 2))))))) (- (+ NAN (+ (* 2 (/ (pow NAN 5) (pow a 2))) (* 6.0 (/ (pow NAN 3) (pow a 2))))) (+ (* 3.0 (/ NAN a)) (/ (pow NAN 3) a))) (- (* 1.0 (/ (sqrt -3.0) (sqrt 9.0))) (+ (* 4.5 (/ a (* (sqrt -3.0) (sqrt 9.0)))) (+ (* 13.5 (/ (pow a 2) (* (sqrt -3.0) (sqrt 9.0)))) (* 10.125 (/ (pow a 2) (* (pow (sqrt -3.0) 3) (sqrt 9.0))))))) (- (+ (* 2.0 (/ (pow NAN 5) (* (pow a 3) (sqrt 9.0)))) (+ (* 0.3333333333333333 (/ NAN (* (pow a 2) (sqrt 9.0)))) (+ (* 0.1111111111111111 (/ NAN (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ NAN (* a (sqrt 9.0))))))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 3) (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 3.0 (/ 1 (* a NAN))) (+ (* 9.0 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (+ (* 0.5 (/ (* a rand) (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)))) (* 1.0 (/ (* (sqrt (neg 0.3333333333333333)) rand) (sqrt 9.0)))) (* 0.125 (/ (* (pow a 2) rand) (* (pow (sqrt (neg 0.3333333333333333)) 3) (sqrt 9.0))))) (+ (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 2) (sqrt 9.0)))) (* 1.0 (+ (/ (* (pow NAN 3) rand) (* a (sqrt 9.0))) (/ (* NAN rand) (sqrt 9.0))))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* a (sqrt 9.0)))) (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (+ (* 1.0 (/ (* a rand) NAN)) (+ (* 8.0 (/ rand (* a NAN))) (+ (* 2.6666666666666665 (/ rand NAN)) (* 1.0 (* NAN rand))))) (+ (* 0.3333333333333335 (/ (* NAN rand) a)) (* 1.0 (/ (* (pow NAN 3) rand) a)))) (- (+ (* 1.0 (/ (sqrt (neg 0.3333333333333333)) (sqrt 9.0))) (* 0.5 (/ a (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0))))) (* 0.125 (/ (pow a 2) (* (pow (sqrt (neg 0.3333333333333333)) 3) (sqrt 9.0))))) (+ (* 2.0 (/ (pow NAN 5) (* (pow a 2) (sqrt 9.0)))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))) (+ (* 1.0 (/ NAN (sqrt 9.0))) (+ (* 0.3333333333333333 (/ NAN (* a (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* a (sqrt 9.0)))))))) (- (+ (* 1.0 NAN) (+ (* 2.6666666666666665 (/ 1 NAN)) (+ (* 8.0 (/ 1 (* a NAN))) (* 1.0 (/ a NAN))))) (+ (* 0.3333333333333335 (/ NAN a)) (* 1.0 (/ (pow NAN 3) a)))) 6.731 * * * [progress]: adding candidates to table 8.236 * * [progress]: iteration 4 / 4 8.236 * * * [progress]: picking best candidate 8.258 * * * * [pick]: Picked # 8.258 * * * [progress]: localizing error 8.271 * * * [progress]: generating rewritten candidates 8.271 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.333 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 8.341 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 8.366 * * * [progress]: generating series expansions 8.366 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.367 * [approximate]: Approximating (* 1.0 (* (/ 1 (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in (a) around 0 8.442 * [approximate]: Approximating (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (sqrt 9.0)))) in (a) around 0 8.533 * [approximate]: Approximating (* -1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* (sqrt (neg (+ (/ 1 a) 0.3333333333333333))) (sqrt 9.0)))) in (a) around 0 8.647 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.651 * [approximate]: Approximating (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in (a rand) around 0 8.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 8.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 8.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ rand (sqrt 9.0)) (sqrt (- a 0.3333333333333333)))) in rand 8.754 * [approximate]: Approximating (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in (a rand) around 0 8.767 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 8.770 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 8.788 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 8.833 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- (/ 1 a) 0.3333333333333333)) (/ 1 (* rand (sqrt 9.0))))) in rand 8.871 * [approximate]: Approximating (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* (sqrt (neg (+ (/ 1 a) 0.3333333333333333))) (* rand (sqrt 9.0))))) in (a rand) around 0 8.892 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* (sqrt (neg (+ (/ 1 a) 0.3333333333333333))) (* rand (sqrt 9.0))))) in rand 8.912 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* (sqrt (neg (+ (/ 1 a) 0.3333333333333333))) (* rand (sqrt 9.0))))) in rand 8.945 * [taylor]: Taking taylor expansion of (* 1.0 (/ (+ (/ 1 a) 0.3333333333333333) (* (sqrt (neg (+ (/ 1 a) 0.3333333333333333))) (* rand (sqrt 9.0))))) in rand 8.985 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 8.985 * [approximate]: Approximating (* 1.0 (sqrt (/ 1 (- a 0.3333333333333333)))) in (a) around 0 9.039 * [approximate]: Approximating (* 1.0 (sqrt (/ 1 (- (/ 1 a) 0.3333333333333333)))) in (a) around 0 9.087 * [approximate]: Approximating (/ 1.0 (sqrt (neg (+ (/ 1 a) 0.3333333333333333)))) in (a) around 0 9.142 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 9.143 * [approximate]: Approximating (/ (- a 0.3333333333333333) (sqrt 9.0)) in (a) around 0 9.170 * [approximate]: Approximating (/ (- (/ 1 a) 0.3333333333333333) (sqrt 9.0)) in (a) around 0 9.207 * [approximate]: Approximating (* -1 (/ (+ (/ 1 a) 0.3333333333333333) (sqrt 9.0))) in (a) around 0 9.253 * * * [progress]: simplifying candidates 9.257 * [simplify]: Simplifying using # : (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) (+ (- (log (- a (/ 1.0 3.0))) (log (sqrt 9.0))) (- (log 1.0) (log (sqrt (- a (/ 1.0 3.0)))))) (+ (- (log (- a (/ 1.0 3.0))) (log (sqrt 9.0))) (log (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) (+ (log (/ (- a (/ 1.0 3.0)) (sqrt 9.0))) (- (log 1.0) (log (sqrt (- a (/ 1.0 3.0)))))) (+ (log (/ (- a (/ 1.0 3.0)) (sqrt 9.0))) (log (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) (log (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) (exp (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) (* (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt 9.0) (sqrt 9.0)) (sqrt 9.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))) (* (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt 9.0) (sqrt 9.0)) (sqrt 9.0))) (* (* 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9.0)))) (cbrt (/ (- a (/ 1.0 3.0)) (sqrt 9.0))) (pow (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) 3) (sqrt (/ (- a (/ 1.0 3.0)) (sqrt 9.0))) (sqrt (/ (- a (/ 1.0 3.0)) (sqrt 9.0))) (neg (- a (/ 1.0 3.0))) (neg (sqrt 9.0)) (/ a (sqrt 9.0)) (/ (/ 1.0 3.0) (sqrt 9.0)) (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (cbrt (- a (/ 1.0 3.0))) (cbrt (sqrt 9.0))) (/ (cbrt (- a (/ 1.0 3.0))) (/ (fabs (cbrt 9.0)) (cbrt (- a (/ 1.0 3.0))))) (/ (cbrt (- a (/ 1.0 3.0))) (sqrt (cbrt 9.0))) (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (sqrt (sqrt 9.0))) (/ (cbrt (- a (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (sqrt 1)) (/ (cbrt (- a (/ 1.0 3.0))) (sqrt 9.0)) (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (sqrt (sqrt 9.0))) (/ (cbrt (- a (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (/ (cbrt (- a (/ 1.0 3.0))) (sqrt 9.0)) (/ (sqrt (- a (/ 1.0 3.0))) (* 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1.0 3.0))) (cbrt (sqrt 9.0))) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (* (cbrt 9.0) (cbrt 9.0)))) (/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (cbrt 9.0))) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 1)) (/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9.0)) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (sqrt 9.0))) (+ (sqrt a) (sqrt (/ 1.0 3.0))) (/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9.0)) (/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (cbrt (sqrt 9.0))) (/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (* (cbrt 9.0) (cbrt 9.0)))) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (cbrt 9.0))) (/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (sqrt 9.0))) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (sqrt 9.0))) (/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt 1)) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt 9.0)) (/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (sqrt 9.0))) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (sqrt 9.0))) (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt 9.0)) (/ 1 (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (- a (/ 1.0 3.0)) (cbrt (sqrt 9.0))) (/ 1 (sqrt (* (cbrt 9.0) (cbrt 9.0)))) (/ (- a (/ 1.0 3.0)) (sqrt (cbrt 9.0))) (/ 1 (sqrt (sqrt 9.0))) (/ (- a (/ 1.0 3.0)) (sqrt (sqrt 9.0))) (/ 1 (sqrt 1)) (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1 (sqrt (sqrt 9.0))) (/ (- a (/ 1.0 3.0)) (sqrt (sqrt 9.0))) 1 (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1 (sqrt 9.0)) (/ (sqrt 9.0) (- a (/ 1.0 3.0))) (/ (- a (/ 1.0 3.0)) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (- a (/ 1.0 3.0)) (sqrt (* (cbrt 9.0) (cbrt 9.0)))) (/ (- a (/ 1.0 3.0)) (sqrt (sqrt 9.0))) (/ (- a (/ 1.0 3.0)) (sqrt 1)) (/ (- a (/ 1.0 3.0)) (sqrt (sqrt 9.0))) (- a (/ 1.0 3.0)) (/ (sqrt 9.0) (cbrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) (- a (/ 1.0 3.0))) (/ (sqrt 9.0) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (/ (sqrt 9.0) (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))) (/ (sqrt 9.0) (- a (/ 1.0 3.0))) (* (+ (* (/ 1.0 3.0) (+ (/ 1.0 3.0) a)) (pow a 2)) (sqrt 9.0)) (* (sqrt 9.0) (+ a (/ 1.0 3.0))) (- (+ (* 1.0 (/ (sqrt (neg 0.3333333333333333)) (sqrt 9.0))) (* 0.5 (/ a (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0))))) (* 0.125 (/ (pow a 2) (* (pow (sqrt (neg 0.3333333333333333)) 3) (sqrt 9.0))))) (+ (* 2.0 (/ (pow NAN 5) (* (pow a 2) (sqrt 9.0)))) (+ (* 0.6666666666666666 (/ (pow NAN 3) (* (pow a 2) (sqrt 9.0)))) (+ (* 1.0 (/ NAN (sqrt 9.0))) (+ (* 0.3333333333333333 (/ NAN (* a (sqrt 9.0)))) (* 1.0 (/ (pow NAN 3) (* a (sqrt 9.0)))))))) (- (- (* 1.0 (+ (/ NAN (sqrt 9.0)) (/ a (* NAN (sqrt 9.0))))) (* 0.3333333333333333 (/ NAN (* a (sqrt 9.0))))) (* 1.0 (/ (pow NAN 3) (* a (sqrt 9.0))))) (- (+ (* 0.5 (/ (* a rand) (* (sqrt (neg 0.3333333333333333)) (sqrt 9.0)))) (* 1.0 (/ (* (sqrt (neg 0.3333333333333333)) rand) (sqrt 9.0)))) (* 0.125 (/ (* (pow a 2) rand) (* (pow (sqrt (neg 0.3333333333333333)) 3) (sqrt 9.0))))) (+ (+ (* 2.0 (/ (* (pow NAN 5) rand) (* (pow a 2) (sqrt 9.0)))) (* 1.0 (+ (/ (* (pow NAN 3) rand) (* a (sqrt 9.0))) (/ (* NAN rand) (sqrt 9.0))))) (+ (* 0.3333333333333333 (/ (* NAN rand) (* a (sqrt 9.0)))) (* 0.6666666666666666 (/ (* (pow NAN 3) rand) (* (pow a 2) (sqrt 9.0)))))) (- (- (* 1.0 (+ (/ (* a rand) (* NAN (sqrt 9.0))) (/ (* NAN rand) (sqrt 9.0)))) (* 1.0 (/ (* (pow NAN 3) rand) (* a (sqrt 9.0))))) (* 0.3333333333333333 (/ (* NAN rand) (* a (sqrt 9.0))))) (- (* 1.0 (sqrt -3.0)) (+ (* 13.5 (/ (pow a 2) (sqrt -3.0))) (+ (* 4.5 (/ a (sqrt -3.0))) (* 10.125 (/ (pow a 2) (pow (sqrt -3.0) 3)))))) (- (+ (* 0.3333333333333333 (/ NAN (pow a 2))) (+ (* 2.0 (/ (pow NAN 5) (pow a 3))) (+ (* 1.0 (/ NAN a)) (* 0.1111111111111111 (/ NAN (pow a 3)))))) (+ (* 1.0 (/ (pow NAN 3) (pow a 2))) (* 0.6666666666666666 (/ (pow NAN 3) (pow a 3))))) (- (+ (* 1.0 (/ NAN a)) (+ (* 0.3333333333333333 (/ 1 (* a NAN))) (+ (* 0.1111111111111111 (/ 1 (* (pow a 2) NAN))) (* 1.0 (/ 1 NAN))))) (* 1.0 (/ (pow NAN 3) (pow a 2)))) (- (/ a (sqrt 9.0)) (* 0.3333333333333333 (/ 1 (sqrt 9.0)))) (- (/ a (sqrt 9.0)) (* 0.3333333333333333 (/ 1 (sqrt 9.0)))) (- (/ a (sqrt 9.0)) (* 0.3333333333333333 (/ 1 (sqrt 9.0)))) 9.307 * * * [progress]: adding candidates to table 12.889 * [progress]: [Phase 3 of 3] Extracting. 12.889 * * [regime]: Finding splitpoints for: (# # # # # # #) 12.891 * * * [regime-changes]: Trying 3 branch expressions: ((- a (/ 1.0 3.0)) rand a) 12.891 * * * * [regimes]: Trying to branch on (- a (/ 1.0 3.0)) from (# # # # # # #) 12.954 * * * * [regimes]: Trying to branch on rand from (# # # # # # #) 13.014 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 13.075 * * * [regime]: Found split indices: #