* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [exit]simplify: Simplified to (- x (log (expm1 x))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [exit]simplify: Simplified to (- x (log (expm1 x))) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * [enter]simplify: Simplifying (cbrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [enter]simplify: Simplifying (sqrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (exp x)) * [exit]simplify: Simplified to (- (exp x)) * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (expm1 x))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (expm1 x))) (cbrt (exp x))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (expm1 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (expm1 x))) (cbrt (expm1 x))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [exit]simplify: Simplified to (sqrt (exp x)) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (expm1 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (expm1 x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (expm1 x) (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/6 1) (+ (* 1 (/ 1/2 1)) (* -1/2 (/ 1 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/6 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 (/ 1 x))) 1) (exp (/ 1 (/ 1 x)))) into (/ (- (exp x) 1) (exp x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ -1 (/ 1 (- x))))) into (/ (- (exp x) 1) (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 2 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (log1p (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 3 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * * * * [misc]progress: [ 5 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * * * * [misc]progress: [ 6 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (exp (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 7 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * * * * [misc]progress: [ 8 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x)))) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x)))) * [enter]simplify: Simplifying (cbrt (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 9 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (expm1 x) (exp x)) (/ (expm1 x) (exp x))) (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * * * * [misc]progress: [ 10 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [enter]simplify: Simplifying (sqrt (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 11 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * [enter]simplify: Simplifying (- (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (exp x)) * [exit]simplify: Simplified to (- (exp x)) * * * * [misc]progress: [ 12 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- x)) * [exit]simplify: Simplified to (exp (- x)) * * * * [misc]progress: [ 13 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 x)) (cbrt (exp x))) (/ (cbrt (expm1 x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 x)) (cbrt (exp x))) (/ (cbrt (expm1 x)) (cbrt (exp x)))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (exp x))) * * * * [misc]progress: [ 14 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 x)) (sqrt (exp x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 x)) (sqrt (exp x))) (cbrt (expm1 x))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (sqrt (exp x))) * * * * [misc]progress: [ 15 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (expm1 x))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * * * * [misc]progress: [ 16 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (expm1 x)) (cbrt (exp x))) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (/ (sqrt (expm1 x)) (cbrt (exp x))) (cbrt (exp x))) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (cbrt (exp x))) * * * * [misc]progress: [ 17 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * * * * [misc]progress: [ 18 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * * * * [misc]progress: [ 19 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * * * * [misc]progress: [ 20 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (exp x))) * [exit]simplify: Simplified to (/ 1 (sqrt (exp x))) * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * * * * [misc]progress: [ 21 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 22 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- x)) * [exit]simplify: Simplified to (exp (- x)) * * * * [misc]progress: [ 24 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 25 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ (expm1 x) (cbrt (exp x))) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (/ (expm1 x) (cbrt (exp x))) (cbrt (exp x))) * * * * [misc]progress: [ 26 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * * * * [misc]progress: [ 27 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 28 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * * * * [misc]progress: [ 29 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * * * * [misc]progress: [ 30 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 31 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ (* 1/6 (pow x 3)) x) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (fma (fma 1/6 x -1/2) x 1)) * * * * [misc]progress: [ 32 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (exp x) 1) (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 33 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (exp x) 1) (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (expm1 x) (exp (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (expm1 x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (+ (* 1 -1) (* 1/2 1))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 -1/6) (+ (* 1 1/2) (+ (* 1/2 -1) (* 1/6 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/6 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (* (- (exp (/ 1 x)) 1) (exp (- (/ 1 x)))) into (* (exp (- (/ 1 x))) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 x))) (- (exp (/ 1 x)) 1)) into (* (exp (- (/ 1 x))) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (* 0 (exp (- (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 (/ 1 x)))) (- (exp (/ 1 (/ 1 x))) 1)) into (* (exp (- x)) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 (- x))) (exp (- (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (* (- (exp (/ -1 x)) 1) (exp (/ 1 x))) into (* (- (exp (/ -1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (* (- (exp (/ -1 x)) 1) (exp (/ 1 x))) into (* (- (exp (/ -1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (* 0 (exp (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ -1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ 1 (/ 1 (- x))))) into (* (- (exp x) 1) (exp (* -1 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (log1p (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 4 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 x)) (- x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * * * * [misc]progress: [ 6 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * * * * [misc]progress: [ 7 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (exp (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 8 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp (- x)) (exp (- x))) (exp (- x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (pow (expm1 x) 3) (pow (exp x) 3)) * [exit]simplify: Simplified to (/ (pow (expm1 x) 3) (pow (exp x) 3)) * * * * [misc]progress: [ 9 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (expm1 x) (exp (- x)))) (cbrt (* (expm1 x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x)))) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x)))) * [enter]simplify: Simplifying (cbrt (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 10 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (expm1 x) (exp (- x))) (* (expm1 x) (exp (- x)))) (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * * * * [misc]progress: [ 11 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [enter]simplify: Simplifying (sqrt (* (expm1 x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * * * * [misc]progress: [ 12 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) (* (cbrt (exp (- x))) (cbrt (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (expm1 x)) * [exit]simplify: Simplified to (* (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (expm1 x)) * * * * [misc]progress: [ 15 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) (sqrt (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 x) (sqrt (exp (- x)))) * [exit]simplify: Simplified to (* (expm1 x) (sqrt (exp (- x)))) * * * * [misc]progress: [ 16 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 17 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 x)) (exp (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * * * * [misc]progress: [ 18 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 x)) (exp (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * * * * [misc]progress: [ 19 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 20 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 21 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 x) (exp 0)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 22 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ (* 1/6 (pow x 3)) x) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (fma (fma 1/6 x -1/2) x 1)) * * * * [misc]progress: [ 24 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (exp (- x)) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 25 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- (exp x) 1) (exp (* -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (fma 1/12 x 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 x) 1/2) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/12 (/ 1 (/ 1 x)))) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x))))) into (+ 1/2 (* 1/12 x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (+ 0 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (+ 0 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (+ 1/2 (* 1/12 (/ 1 (/ 1 x))))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (+ 0 -1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x)))))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x 1/12) * [exit]simplify: Simplified to (* x 1/12) * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (fma x 1/12 1/2)) (cbrt (fma x 1/12 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma x 1/12 1/2)) (cbrt (fma x 1/12 1/2))) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 8 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (pow (fma x 1/12 1/2) 3) * [exit]simplify: Simplified to (pow (fma x 1/12 1/2) 3) * * * * [misc]progress: [ 9 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 10 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 12 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 13 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 x)) (exp (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 18 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 20 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 21 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 x) (fma 1/12 x 1/2)) (+ (/ 1 x) (fma 1/12 x 1/2))) (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (fma 1/12 x 1/2)) 3) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (fma 1/12 x 1/2)) 3) * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 24 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 x) 3) (pow (fma 1/12 x 1/2) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (fma (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (/ (/ 1 x) (* x x))) * [exit]simplify: Simplified to (fma (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (/ (/ 1 x) (* x x))) * [enter]simplify: Simplifying (+ (* (/ 1 x) (/ 1 x)) (- (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (* (/ 1 x) (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (fma (+ (/ -1 x) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (* (/ 1 x) (/ 1 x))) * [exit]simplify: Simplified to (fma (+ (/ -1 x) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (* (/ 1 x) (/ 1 x))) * * * * [misc]progress: [ 25 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 x) (/ 1 x)) (* (fma 1/12 x 1/2) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (- (/ 1 x) (fma 1/12 x 1/2)) (+ (fma 1/12 x 1/2) (/ 1 x))) * [exit]simplify: Simplified to (* (- (/ 1 x) (fma 1/12 x 1/2)) (+ (fma 1/12 x 1/2) (/ 1 x))) * [enter]simplify: Simplifying (- (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma -1/12 x -1/2)) * [exit]simplify: Simplified to (+ (/ 1 x) (fma -1/12 x -1/2)) * * * * [misc]progress: [ 27 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 29 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* 1/12 x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (fma x 1/12 (/ 1 x)) * [exit]simplify: Simplified to (fma x 1/12 (/ 1 x)) * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 33 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (exp x) (- (exp x) 1)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x)