* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 3 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs x)) 3/4) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ 1 x))) 3/4) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ -1 x))) 3/4) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 3 2 1 2) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [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 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [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 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * [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 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 3 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 3 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs x))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ 1 (cube (fabs x))) (/ 1 (cube (fabs x)))))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ 1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (cube (fabs x))) (fabs (/ 1 x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))) (/ (/ 1 (cube (fabs x))) (* (/ (fabs x) 1) (cube (fabs x)))))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ -1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ 3/4 (fabs x)) (* (fabs x) (fabs x))) (fabs (/ -1 x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ 1 (cube (fabs x))) (/ 1 (cube (fabs x)))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (* 1 (/ 3 4)) (cube (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (* (/ (fabs x) 1) (/ (sqrt PI) (/ 15 8)))) (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs (/ 1 x))))) (fabs x)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ 3 (fabs x)) (cube (fabs x))) 4) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (/ (/ (fabs x) 1) (/ (/ 15 8) (sqrt PI)))) (/ (cube (/ 1 (fabs x))) (cube (fabs (/ 1 x)))))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs (/ -1 x))))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 1 (cube (fabs x))) (/ (fabs x) (/ 3 4))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (exp (* (fabs x) (fabs x))) (/ (/ (fabs x) 1) (/ (/ 15 8) (sqrt PI)))) (/ (/ 1 (cube (fabs x))) (cube (fabs (/ -1 x)))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ 1 (fabs x))) (cube (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (fabs x))) (cbrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (fabs x))) (sqrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * [enter]simplify: Simplifying (* (fabs x) 4) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (fabs x) 4) * [exit]simplify: Simplified to (* (fabs x) 4) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 3 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 3 4) * [exit]simplify: Simplified to (/ 3 4) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * * * * [misc]progress: [ 64 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 65 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 66 / 69 ] 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 (fabs x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (fabs x)) * [exit]simplify: Simplified to (cube (fabs x)) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 1 (fabs x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 3 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs x)) 3/4) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ 1 x))) 3/4) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ -1 x))) 3/4) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 3 2 1 1) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [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 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [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 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * [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 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 3 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 3 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs x))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x))))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ 1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (cube (fabs x))) (fabs (/ 1 x))) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (/ (* (/ (/ 1 (fabs x)) (cube (fabs x))) (/ (/ 15 8) (cube (fabs x)))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ -1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (fabs (/ -1 x))) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ (/ 3 4) (fabs x)) (* (fabs x) (fabs x))) (fabs x)) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs (/ 1 x)))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ (/ 1 (fabs x)) (cube (fabs x))) (/ 3 4)) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs (/ 1 x))) (* (fabs (/ 1 x)) (fabs (/ 1 x)))) (* (fabs x) (fabs x))) (/ (/ (exp (* (fabs x) (fabs x))) (* (sqrt PI) (/ 8 15))) (* (fabs x) (fabs x))))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs (/ -1 x)))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ 3 (fabs x)) (cube (fabs x))) 4) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (/ (/ 1 (fabs (/ -1 x))) (fabs (/ -1 x))) (/ (* (fabs x) (fabs x)) (/ 1 (fabs (/ -1 x))))) (/ (* (exp (* (fabs x) (fabs x))) (/ (/ 15 8) (sqrt PI))) (* (fabs x) (fabs x))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ 1 (fabs x))) (cube (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (fabs x))) (cbrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (fabs x))) (sqrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * [enter]simplify: Simplifying (* (fabs x) 4) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (fabs x) 4) * [exit]simplify: Simplified to (* (fabs x) 4) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 3 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 3 4) * [exit]simplify: Simplified to (/ 3 4) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * * * * [misc]progress: [ 64 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 65 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 66 / 69 ] 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 (fabs x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (fabs x)) * [exit]simplify: Simplified to (cube (fabs x)) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 1 (fabs x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 3 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs x)) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs x)) in x * [misc]taylor: Taking taylor expansion of (fabs x) in x * [misc]backup-simplify: Simplify (fabs x) into (fabs x) * [misc]backup-simplify: Simplify (/ 1 (fabs x)) into (/ 1 (fabs x)) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs x)) 3/4) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs x)) (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))) (* 0 (/ 0 (fabs x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs x)) into (/ 3/4 (fabs x)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 x))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 x)) in x * [misc]backup-simplify: Simplify (fabs (/ 1 x)) into (fabs (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ 1 x))) into (/ 1 (fabs (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ 1 x))) 3/4) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ 1 x))) (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))) (* 0 (/ 0 (fabs (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ 1 x))) into (/ 3/4 (fabs (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (fabs (/ 1 (- x)))) (/ 3 4)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (fabs (/ 1 (- x))) into (fabs (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (/ -1 x))) into (/ 1 (fabs (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 3 4) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 4 in x * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 3 4) into 3/4 * [misc]backup-simplify: Simplify (* (/ 1 (fabs (/ -1 x))) 3/4) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (* 0 3/4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (* 0 3/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 3/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (/ -1 x))) (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))) (* 0 (/ 0 (fabs (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (fabs (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3/4 (fabs (/ -1 x))) into (/ 3/4 (fabs (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 3 2 1 1) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs x))) into (cube (/ 1 (fabs x))) * [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 (fabs x))) into (cube (/ 1 (fabs x))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [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 (fabs (/ 1 x)))) into (cube (/ 1 (fabs (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (fabs (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ 1 (- x))))) into (cube (/ 1 (fabs (/ -1 x)))) * [misc]backup-simplify: Simplify (cube (/ 1 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * [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 (fabs (/ -1 x)))) into (cube (/ 1 (fabs (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 3 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 3 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs x))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (cube (/ 1 (fabs x))) (* (/ (fabs x) 1) (cube (fabs x)))) (* (exp (* (fabs x) (fabs x))) (/ (/ 15 8) (sqrt PI))))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ 1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (cube (fabs x))) (fabs (/ 1 x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (cube (/ 1 (fabs x))) (* (/ (fabs x) 1) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (/ 3/4 (fabs (/ -1 x)))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ 3/4 (fabs (/ -1 x))) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (cube (/ 1 (fabs x))) (* (cube (fabs x)) (/ (fabs x) 1))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs x))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs (/ 1 x)))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ 3 (fabs x)) (cube (fabs x))) 4) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (* (exp (* (fabs x) (fabs x))) (/ (/ 15 8) (sqrt PI))) (/ (cube (/ 1 (fabs (/ 1 x)))) (* (cube (fabs x)) (/ (fabs x) 1))))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (cube (/ 1 (fabs x))) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqr (sqrt (sqrt PI)))) (/ (* (cube (/ 1 (fabs (/ -1 x)))) (/ (cube 1) (cube (fabs x)))) (fabs x)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (fma (/ (/ (/ 3 (fabs x)) (cube (fabs x))) 4) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) (* (/ (cube (/ 1 (fabs (/ -1 x)))) (* (/ (fabs x) 1) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x)))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * [exit]simplify: Simplified to (expm1 (sqrt PI)) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (sqrt PI)) * [exit]simplify: Simplified to (log (sqrt PI)) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (sqrt PI)) * [exit]simplify: Simplified to (exp (sqrt PI)) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sqrt PI)) * [exit]simplify: Simplified to (cube (sqrt PI)) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (expm1 (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log1p (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (fabs x))) (log (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * [exit]simplify: Simplified to (+ (- (log (fabs x))) (log (/ 3 4))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (log (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (exp (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ 1 (fabs x))) (cube (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * [exit]simplify: Simplified to (/ (cube (/ 3 4)) (cube (fabs x))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cbrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (cube (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (fabs x))) (cbrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (cbrt (/ 3 4)) (cbrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (fabs x)) (/ 3 4))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * [exit]simplify: Simplified to (sqrt (/ (/ 3 4) (fabs x))) * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (fabs x))) (sqrt (/ 3 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * [exit]simplify: Simplified to (* (sqrt (/ 3 4)) (sqrt (/ 1 (fabs x)))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * [enter]simplify: Simplifying (* (fabs x) 4) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (fabs x) 4) * [exit]simplify: Simplified to (* (fabs x) 4) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 3 4)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * [exit]simplify: Simplified to (/ (/ 3 4) (fabs x)) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 3 (fabs x)) * [exit]simplify: Simplified to (/ 3 (fabs x)) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 3 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 3 4) * [exit]simplify: Simplified to (/ 3 4) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (expm1 (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * [exit]simplify: Simplified to (- (log (cube (fabs x)))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (exp (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ 1 (fabs x)) * [exit]simplify: Simplified to (/ 1 (fabs x)) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * * * * [misc]progress: [ 64 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 65 / 69 ] 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 (/ 1 (fabs x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * [exit]simplify: Simplified to (cube (/ 1 (fabs x))) * * * * [misc]progress: [ 66 / 69 ] 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 (fabs x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (fabs x)) * [exit]simplify: Simplified to (cube (fabs x)) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (fabs x)) (/ 1 (fabs x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * [exit]simplify: Simplified to (/ 1 (* (fabs x) (fabs x))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (fabs x) (fabs x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (fabs x) (fabs x)) * [exit]simplify: Simplified to (* (fabs x) (fabs x)) * [enter]simplify: Simplifying (log1p (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (log1p (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [enter]simplify: Simplifying (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * [exit]simplify: Simplified to (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * [enter]simplify: Simplifying (+ (fma (* (/ 3 4) (/ (/ 1 (fabs x)) (cube (fabs x)))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x)))) (/ 1 (fabs x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (+ (/ 1 (fabs x)) (fma (/ (/ (/ 3 4) (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x))))) * [exit]simplify: Simplified to (+ (/ 1 (fabs x)) (fma (/ (/ (/ 3 4) (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x))))) * [enter]simplify: Simplifying (* (* (cube (/ 1 (fabs x))) (/ (/ 1 (fabs x)) (cube (fabs x)))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (/ (cube (fabs x)) (/ (/ 15 8) (sqrt PI)))) (exp (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (/ (cube (fabs x)) (/ (/ 15 8) (sqrt PI)))) (exp (* (fabs x) (fabs x)))) * [enter]simplify: Simplifying (sqrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [enter]simplify: Simplifying (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * [exit]simplify: Simplified to (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) * [enter]simplify: Simplifying (+ (/ 1 (fabs x)) (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ 1 2) (cube (fabs x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) * [exit]simplify: Simplified to (+ (fma (/ (/ 3/4 (fabs x)) (cube (fabs x))) (/ 1 (fabs x)) (/ (/ (/ 1 2) (fabs x)) (* (fabs x) (fabs x)))) (/ 1 (fabs x))) * [enter]simplify: Simplifying (* (/ (/ (/ 1 (fabs x)) (cube (fabs x))) (cube (fabs x))) (* (/ (/ 15 8) (sqrt PI)) (exp (* (fabs x) (fabs x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 15 8) (sqrt PI)) (* (cube (fabs x)) (* (fabs x) (fabs x)))) (/ (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (* (/ (/ (/ 15 8) (sqrt PI)) (* (cube (fabs x)) (* (fabs x) (fabs x)))) (/ (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [enter]simplify: Simplifying (sqrt (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) * [enter]simplify: Simplifying (cube (cube (/ 1 (fabs x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * [exit]simplify: Simplified to (/ 1 (cube (cube (fabs x)))) * [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 (fabs x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (fabs x)) * [exit]simplify: Simplified to (cube (fabs x)) * [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 (fabs x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (fabs x)) * [exit]simplify: Simplified to (cube (fabs x)) * [enter]simplify: Simplifying (sqrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [exit]simplify: Simplified to (sqrt (sqrt PI)) * [enter]simplify: Simplifying (log1p (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [exit]simplify: Simplified to (log1p (sqrt PI)) * [enter]simplify: Simplifying (cbrt (sqrt PI)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt PI)) * [exit]simplify: Simplified to (cbrt (sqrt PI))