* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ i 2)) in i * [misc]taylor: Taking taylor expansion of (/ i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* i 2) (* i 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* i 2) (* i 2)) in i * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1/4 (- 1.0)) into -0.25 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ i 2)) in i * [misc]taylor: Taking taylor expansion of (/ i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* i 2) (* i 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* i 2) (* i 2)) in i * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1/4 (- 1.0)) into -0.25 * [misc]backup-simplify: Simplify -0.25 into -0.25 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 2 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 2) (* 0 0))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 4 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))) (* 0 (/ 4 (- 1.0))) (* (- 1.0) (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))) (* 0 (/ 0 (- 1.0))) (* (- 1.0) (/ 4 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 4.0) * [misc]backup-simplify: Simplify (- 4.0) into (- 4.0) * [misc]backup-simplify: Simplify (+ (* (- 4.0) (pow i 6)) (+ (* (- 1.0) (pow i 4)) (* -0.25 (sqr i)))) into (- (+ (* 0.25 (sqr i)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) 2) (* (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) 2) (* (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.015625 * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ (- 1.0) 4)) (* 0.015625 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ 0 4)) (* 0.015625 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.00390625 * [misc]backup-simplify: Simplify 0.00390625 into 0.00390625 * [misc]backup-simplify: Simplify (+ (* 0.00390625 (pow (/ 1 i) 4)) (+ (* 0.015625 (sqr (/ 1 i))) 1/16)) into (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 -1/2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 -1/2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.015625 * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ (- 1.0) 4)) (* 0.015625 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ 0 4)) (* 0.015625 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.00390625 * [misc]backup-simplify: Simplify 0.00390625 into 0.00390625 * [misc]backup-simplify: Simplify (+ (* 0.00390625 (pow (/ 1 (- i)) 4)) (+ (* 0.015625 (sqr (/ 1 (- i)))) 1/16)) into (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (sqr i)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (fma (* i (- i)) 0.25 (fma 1.0 (- (pow i 4)) (* (pow i 6) (- 4.0)))) * * * * [misc]progress: [ 2 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (/ 0.00390625 (pow i 4)) (fma (/ 0.015625 i) (/ 1 i) 1/16)) * * * * [misc]progress: [ 3 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (/ 0.00390625 (pow i 4)) (fma (/ 0.015625 i) (/ 1 i) 1/16)) * * * * [misc]progress: [ 4 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 5 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 6 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqr (/ i 2))) (log (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 8 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 9 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 10 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqr (/ i 2))) (cube (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 11 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 12 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 13 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqr (/ i 2))) (cbrt (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i 2) (/ i 2))) (cbrt (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (/ (cbrt (* (/ i 2) (/ i 2))) (cbrt (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 14 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 15 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 2) (sqrt (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ i 2) (sqrt (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (/ (/ i 2) (sqrt (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 16 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ i 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (/ i 2) (/ i 2))) * [exit]simplify: Simplified to (- (* (/ i 2) (/ i 2))) * [enter]simplify: Simplifying (- (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (- (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 17 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 18 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr i) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* (/ i 1) i) * [exit]simplify: Simplified to (* (/ i 1) i) * [enter]simplify: Simplifying (/ (sqr (/ 1 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 19 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ i 2) * [exit]simplify: Simplified to (/ i 2) * [enter]simplify: Simplifying (/ (/ i 2) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 20 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 21 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * * * * [misc]progress: [ 23 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 24 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqr (/ i 2)) * [exit]simplify: Simplified to (sqr (/ i 2)) * * * * [misc]progress: [ 25 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 26 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ 1 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ 1 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ 1 2))) * * * * [misc]progress: [ 27 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (/ i 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (cube 2) (/ 1 i)) (* (/ 1.0 i) 2)) * [exit]simplify: Simplified to (- (/ (cube 2) (/ 1 i)) (* (/ 1.0 i) 2)) * * * * [misc]progress: [ 28 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 29 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (pow (* (* i 2) (* i 2)) 3) (pow 1.0 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * * * * [misc]progress: [ 30 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (sqr (* (* i 2) (* i 2))) (sqr 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 31 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* i 2) (* i 2)) 1.0) (sqr 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* 2 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (* (* 2 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ i 2)) in i * [misc]taylor: Taking taylor expansion of (/ i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* i 2) (* i 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* i 2) (* i 2)) in i * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1/4 (- 1.0)) into -0.25 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ i 2)) in i * [misc]taylor: Taking taylor expansion of (/ i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* i 2) (* i 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* i 2) (* i 2)) in i * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1/4 (- 1.0)) into -0.25 * [misc]backup-simplify: Simplify -0.25 into -0.25 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 2 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 2) (* 0 0))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 4 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))) (* 0 (/ 4 (- 1.0))) (* (- 1.0) (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- 1.0)) (+ (* -0.25 (/ 0 (- 1.0))) (* 0 (/ 0 (- 1.0))) (* (- 1.0) (/ 4 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 4.0) * [misc]backup-simplify: Simplify (- 4.0) into (- 4.0) * [misc]backup-simplify: Simplify (+ (* (- 4.0) (pow i 6)) (+ (* (- 1.0) (pow i 4)) (* -0.25 (sqr i)))) into (- (+ (* 0.25 (sqr i)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) 2) (* (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) 2) (* (/ 1 i) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.015625 * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ (- 1.0) 4)) (* 0.015625 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ 0 4)) (* 0.015625 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.00390625 * [misc]backup-simplify: Simplify 0.00390625 into 0.00390625 * [misc]backup-simplify: Simplify (+ (* 0.00390625 (pow (/ 1 i) 4)) (+ (* 0.015625 (sqr (/ 1 i))) 1/16)) into (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in (i) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)) in i * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) 2) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 -1/2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 -1/2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.015625 * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ (- 1.0) 4)) (* 0.015625 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/16 (/ 0 4)) (* 0 (/ 0 4)) (* 0.015625 (/ (- 1.0) 4)) (* 0 (/ 0 4)))) into 0.00390625 * [misc]backup-simplify: Simplify 0.00390625 into 0.00390625 * [misc]backup-simplify: Simplify (+ (* 0.00390625 (pow (/ 1 (- i)) 4)) (+ (* 0.015625 (sqr (/ 1 (- i)))) 1/16)) into (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) into (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) into (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) * [misc]backup-simplify: Simplify (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) into (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) into (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0)))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]backup-simplify: Simplify (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)))) in i * [misc]backup-simplify: Simplify (cbrt (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0)))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]backup-simplify: Simplify (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) into (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) into (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) into (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) * [misc]backup-simplify: Simplify (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) into (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) into (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0)))) * [misc]approximate: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ (/ 1 i) 2)) (- (* (* (/ 1 i) 2) (* (/ 1 i) 2)) 1.0))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]backup-simplify: Simplify (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]approximate: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0))) in (i) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]taylor: Taking taylor expansion of (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0))) in i * [misc]backup-simplify: Simplify (cube (/ (sqr (/ (/ 1 (- i)) 2)) (- (* (* (/ 1 (- i)) 2) (* (/ 1 (- i)) 2)) 1.0))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]backup-simplify: Simplify (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) into (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (+ (* 0.25 (sqr i)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (fma (- 4.0) (pow i 6) (fma (* i i) (- 0.25) (* (pow i 4) (- 1.0)))) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (+ (fma (/ 0.015625 i) (/ 1 i) 1/16) (/ 0.00390625 (pow i 4))) * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (* 0.015625 (/ 1 (sqr i))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (+ (fma (/ 0.015625 i) (/ 1 i) 1/16) (/ 0.00390625 (pow i 4))) * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (* i 1/4) i) (- (* (* 4 i) i) 1.0)) * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ 1/4 (* (- (/ 4 (* i i)) 1.0) (* i i))) * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ 1/4 (* (- (/ 4 (* i i)) 1.0) (* i i))) * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (* 1/4 (/ (sqr i) (- (* 4 (sqr i)) 1.0))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (* (* i i) 1/4) (- (* i (* 4 i)) 1.0)) * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (- (/ 4 (* i i)) 1.0)) (* i i)) * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1/4 (* (- (* 4 (/ 1 (sqr i))) 1.0) (sqr i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (- (/ 4 (* i i)) 1.0)) (* i i)) * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqr (/ i 2))) (log (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqr (/ i 2))) (cube (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqr (/ i 2))) (cbrt (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i 2) (/ i 2))) (cbrt (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (/ (cbrt (* (/ i 2) (/ i 2))) (cbrt (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 2) (sqrt (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ i 2) (sqrt (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (/ (/ i 2) (sqrt (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ i 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (/ i 2) (/ i 2))) * [exit]simplify: Simplified to (- (* (/ i 2) (/ i 2))) * [enter]simplify: Simplifying (- (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (- (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr i) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* (/ i 1) i) * [exit]simplify: Simplified to (* (/ i 1) i) * [enter]simplify: Simplifying (/ (sqr (/ 1 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ i 2) * [exit]simplify: Simplified to (/ i 2) * [enter]simplify: Simplifying (/ (/ i 2) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqr (/ i 2)) * [exit]simplify: Simplified to (sqr (/ i 2)) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ 1 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ 1 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ 1 2))) * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (/ i 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (cube 2) (/ 1 i)) (* (/ 1.0 i) 2)) * [exit]simplify: Simplified to (- (/ (cube 2) (/ 1 i)) (* (/ 1.0 i) 2)) * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (* i 2) (* i 2)) 1.0) (sqr (/ i 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * [exit]simplify: Simplified to (/ (- (* (* 2 i) (* 2 i)) 1.0) (sqr (/ i 2))) * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (pow (* (* i 2) (* i 2)) 3) (pow 1.0 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (/ i 2)) (- (sqr (* (* i 2) (* i 2))) (sqr 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* i 2) (* i 2)) 1.0) (sqr 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* 2 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (* (* 2 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (expm1 (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log1p (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (log (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (exp (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (sqr 1) 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (sqr i) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ i (/ 1 i)) * [exit]simplify: Simplified to (/ i (/ 1 i)) * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ 1 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (/ i 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ i 2) * [exit]simplify: Simplified to (/ i 2) * [enter]simplify: Simplifying (cbrt (cube (/ (/ i 2) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (sqr (/ i 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ i 2) (/ i 2)) * [exit]simplify: Simplified to (* (/ i 2) (/ i 2)) * [enter]simplify: Simplifying (cbrt (cube (/ 1 (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * [exit]simplify: Simplified to (/ 1 (- (* (* i 2) (* i 2)) 1.0)) * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (pow (* (* i 2) (* i 2)) 3) (pow 1.0 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0))) * [enter]simplify: Simplifying (cbrt (cube (+ (sqr (* (* i 2) (* i 2))) (+ (sqr 1.0) (* (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (fma (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i)) (* (fma (* 2 i) (* 2 i) 1.0) 1.0)) * [exit]simplify: Simplified to (fma (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i)) (* (fma (* 2 i) (* 2 i) 1.0) 1.0)) * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (sqr (* (* i 2) (* i 2))) (sqr 1.0))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)) * [enter]simplify: Simplifying (cbrt (cube (+ (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (fma (* 2 i) (* 2 i) 1.0) * [exit]simplify: Simplified to (fma (* 2 i) (* 2 i) 1.0) * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [enter]simplify: Simplifying (cbrt (* (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (cbrt (* (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (sqr (/ i 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ i 2) (/ i 2)) * [exit]simplify: Simplified to (* (/ i 2) (/ i 2)) * [enter]simplify: Simplifying (cbrt (cube (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (* (* 2 i) (* 2 i)) 1.0) * [exit]simplify: Simplified to (- (* (* 2 i) (* 2 i)) 1.0) * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cbrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (sqrt (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (expm1 (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (expm1 (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (log1p (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (log1p (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (log (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (log (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (exp (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (exp (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (cube (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (cube (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr i) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqr (/ (cube i) 1)) * [exit]simplify: Simplified to (sqr (/ (cube i) 1)) * [enter]simplify: Simplifying (cube (/ (sqr (/ 1 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ 1 2) (/ 1 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ 1 2) (/ 1 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ i 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cube (/ i 2)) * [exit]simplify: Simplified to (cube (/ i 2)) * [enter]simplify: Simplifying (cube (/ (/ i 2) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (cube (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ i 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqr (cube (/ i 2))) * [exit]simplify: Simplified to (sqr (cube (/ i 2))) * [enter]simplify: Simplifying (cube (/ 1 (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ 1 (cube (- (* (* i 2) (* i 2)) 1.0))) * [exit]simplify: Simplified to (/ 1 (cube (- (* (* i 2) (* i 2)) 1.0))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (pow (* (* i 2) (* i 2)) 3) (pow 1.0 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0)))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (sqr (cube (* 2 i))) (cube 1.0)))) * [enter]simplify: Simplifying (cube (+ (sqr (* (* i 2) (* i 2))) (+ (sqr 1.0) (* (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (cube (fma (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i)) (* (fma (* 2 i) (* 2 i) 1.0) 1.0))) * [exit]simplify: Simplified to (cube (fma (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i)) (* (fma (* 2 i) (* 2 i) 1.0) 1.0))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (sqr (* (* i 2) (* i 2))) (sqr 1.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (cube (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (/ (* (/ i 2) (/ i 2)) (fma (* 2 i) (* 2 i) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0))) * [enter]simplify: Simplifying (cube (+ (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * [exit]simplify: Simplified to (cube (fma (* 2 i) (* 2 i) 1.0)) * [exit]simplify: Simplified to (cube (fma (* 2 i) (* 2 i) 1.0)) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ i 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqr (cube (/ i 2))) * [exit]simplify: Simplified to (sqr (cube (/ i 2))) * [enter]simplify: Simplifying (cube (- (* (* i 2) (* i 2)) 1.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cube (- (* (* 2 i) (* 2 i)) 1.0)) * [exit]simplify: Simplified to (cube (- (* (* 2 i) (* 2 i)) 1.0)) * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (* (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)) (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (sqrt (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * [exit]simplify: Simplified to (sqrt (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (- (+ (* 0.25 (sqr i)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (fma (* i (- i)) 0.25 (fma 1.0 (- (pow i 4)) (* (pow i 6) (- 4.0)))) * [enter]simplify: Simplifying (/ 0.00390625 (pow i 4)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ 0.00390625 (pow i 4)) * [exit]simplify: Simplified to (/ 0.00390625 (pow i 4)) * [enter]simplify: Simplifying (fma (/ 0.015625 i) (/ 1 i) 1/16) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (fma (/ 0.015625 i) (/ 1 i) 1/16) * [exit]simplify: Simplified to (fma (/ 0.015625 i) (/ 1 i) 1/16) * [enter]simplify: Simplifying (/ (cube (sqr (/ i 2))) (cube (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [enter]simplify: Simplifying (cube (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))) * [exit]simplify: Simplified to (cube (/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0)))