* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 2 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 4 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 5 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (* x 2))) (log (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 9 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 10 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (expm1 (* x 2))) (cube (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 11 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 12 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 13 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 14 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 15 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (expm1 (* 2 x))) * [exit]simplify: Simplified to (- (expm1 (* 2 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: [ 17 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [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: [ 18 / 23 ] 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 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 19 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 23 ] 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: [ 21 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * * [misc]progress: [ 22 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* x 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * * * * [misc]progress: [ 23 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 x))) (expm1 (/ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 x))) (expm1 (/ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 x))) (expm1 (/ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 (- x)))) (expm1 (/ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 (- x)))) (expm1 (/ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 2 (/ 1 (- x)))) (expm1 (/ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (expm1 (* -1 x)) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -1 x)) into (expm1 (* -1 x)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* -2 x)) (expm1 (* -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x -2)) (expm1 (- x)))) * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 x))) * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (* -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (- x)))) * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* -2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x -2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (log1p (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 12 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (/ 2 x))) (log (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (expm1 (/ 2 x))) (log (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (- (log (expm1 (/ 2 x))) (log (expm1 (/ 1 x)))) * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (log (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (exp (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (expm1 (/ 2 x))) (cube (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 19 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * * * * [misc]progress: [ 20 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 (/ 2 x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (- (expm1 (/ 2 x))) * [exit]simplify: Simplified to (- (expm1 (/ 2 x))) * [enter]simplify: Simplifying (- (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (expm1 (/ 1 x))) * [exit]simplify: Simplified to (- (expm1 (/ 1 x))) * * * * [misc]progress: [ 23 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 2 x)) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (exp (/ 2 x)) (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ (exp (/ 2 x)) (expm1 (/ 1 x))) * [enter]simplify: Simplifying (/ 1 (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 24 / 49 ] 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 (/ 2 x)) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ 1 x)) * [exit]simplify: Simplified to (exp (/ 1 x)) * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (expm1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (expm1 (/ 1 x))) * [exit]simplify: Simplified to (log (expm1 (/ 1 x))) * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 1 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 1 x))) * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ 1 x))) * [exit]simplify: Simplified to (cbrt (expm1 (/ 1 x))) * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cube (expm1 (/ 1 x))) * [exit]simplify: Simplified to (cube (expm1 (/ 1 x))) * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ 1 x))) * [exit]simplify: Simplified to (sqrt (expm1 (/ 1 x))) * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 2 x)) * [exit]simplify: Simplified to (exp (/ 2 x)) * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ 2 x) * [exit]simplify: Simplified to (/ 2 x) * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * * * * [misc]progress: [ 45 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (/ 2 x))) * * [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 (cube (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cube (expm1 (/ 2 x))) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (/ 2 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (/ 2 x))) into (exp (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (/ 2 x)))) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (/ 2 x))) into (exp (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (/ 2 x)))) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (/ 2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (/ 2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (/ 2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (/ 2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (/ 2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* 2 x))) into (exp (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* 2 x)))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* 2 x))) into (exp (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* 2 x)))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (* 2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (* 2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (* 2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (* 2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (* 2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* -2 x))) into (exp (expm1 (* -2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* -2 x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* -2 x))) into (exp (expm1 (* -2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* -2 x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (* -2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (* -2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (* -2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (* -2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (* -2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (/ 2 x))) into (exp (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (/ 2 x)))) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (/ 2 x))) into (exp (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (/ 2 x)))) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (/ 2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (/ 2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (/ 2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (/ 2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (/ 2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (/ 2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (/ 2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (/ 2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (/ 2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (/ 2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (/ 2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 x))))) (expm1 (/ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 x))))) (expm1 (/ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* 2 x))) into (exp (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* 2 x)))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 x))))) (expm1 (/ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* 2 x))) into (exp (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* 2 x)))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (* 2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (* 2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (* 2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* 2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (* 2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (* 2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (* 2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (* 2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (* 2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* 2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (* 2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 (- x)))))) (expm1 (/ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 (- x)))))) (expm1 (/ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* -2 x))) into (exp (expm1 (* -2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* -2 x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]taylor: Taking taylor expansion of (/ (log (exp (expm1 (/ 2 (/ 1 (- x)))))) (expm1 (/ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (/ 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (/ 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (exp (expm1 (* -2 x))) into (exp (expm1 (* -2 x))) * [misc]backup-simplify: Simplify (log (exp (expm1 (* -2 x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (expm1 (* -2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (expm1 (* -2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (expm1 (* -2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (expm1 (* -2 x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (expm1 (* -2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (expm1 (* -2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (expm1 (* -2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (expm1 (* -2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (expm1 (* -2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (expm1 (* -2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (expm1 (* -2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (* -1 x))) (+ (* (/ (expm1 (* -2 x)) (expm1 (* -1 x))) (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))) (* 0 (/ 0 (expm1 (* -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* -2 x)) (expm1 (* -1 x))) into (/ (expm1 (* -2 x)) (expm1 (* -1 x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 x))) into (expm1 x) * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (/ 1 (- x)))) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify (expm1 (* -1 x)) into (expm1 (* -1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -1 x)) into (expm1 (* -1 x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 2 x)) into (expm1 (/ 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 x))) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* 2 x)) into (expm1 (* 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 2 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (expm1 (/ 2 (/ 1 (- x)))) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -2 x)) into (expm1 (* -2 x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* -2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x -2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* -2 x)) (expm1 (* -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x -2)) (expm1 (- x)))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 x))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 (* -1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (- x)))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (* 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (* -2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x -2)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log1p (expm1 (/ 2 x))) * [exit]simplify: Simplified to (log1p (expm1 (/ 2 x))) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (expm1 (/ 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ 2 x)) * [exit]simplify: Simplified to (expm1 (/ 2 x)) * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (exp (/ 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (/ 2 x)) * [exit]simplify: Simplified to (exp (/ 2 x)) * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (expm1 (/ 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ 2 x)) * [exit]simplify: Simplified to (expm1 (/ 2 x)) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cube (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cube (expm1 (/ 2 x))) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (log1p (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (exp (expm1 (/ 2 x))))) (log (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (log (expm1 (/ 2 x))) (log (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (- (log (expm1 (/ 2 x))) (log (expm1 (/ 1 x)))) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (log (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (exp (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (log (exp (expm1 (/ 2 x))))) (cube (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (cube (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (log (exp (expm1 (/ 2 x))))) (cbrt (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (expm1 (/ 2 x))))) (sqrt (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- (expm1 (/ 2 x))) * [exit]simplify: Simplified to (- (expm1 (/ 2 x))) * [enter]simplify: Simplifying (- (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (expm1 (/ 1 x))) * [exit]simplify: Simplified to (- (expm1 (/ 1 x))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (exp (exp (/ 2 x)))) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (exp (/ 2 x)) (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ (exp (/ 2 x)) (expm1 (/ 1 x))) * [enter]simplify: Simplifying (/ (log (exp 1)) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 40 / 69 ] 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 (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * [enter]simplify: Simplifying (/ (log (exp 1)) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 42 / 69 ] 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 (/ (log (exp (expm1 (/ 2 x)))) (expm1 (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (/ 1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (exp (expm1 (/ 2 x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (/ 2 x)) 1) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (log (exp 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) 1) * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (/ 1 x)) (log (exp (expm1 (/ 2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * [exit]simplify: Simplified to (/ (expm1 (/ 1 x)) (expm1 (/ 2 x))) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ 1 x)) * [exit]simplify: Simplified to (exp (/ 1 x)) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ 1 x))) * [exit]simplify: Simplified to (expm1 (expm1 (/ 1 x))) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (expm1 (/ 1 x))) * [exit]simplify: Simplified to (log (expm1 (/ 1 x))) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 1 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 1 x))) * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ 1 x))) * [exit]simplify: Simplified to (cbrt (expm1 (/ 1 x))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cube (expm1 (/ 1 x))) * [exit]simplify: Simplified to (cube (expm1 (/ 1 x))) * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ 1 x))) * [exit]simplify: Simplified to (sqrt (expm1 (/ 1 x))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 2 x)) * [exit]simplify: Simplified to (exp (/ 2 x)) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * [exit]simplify: Simplified to (expm1 (expm1 (/ 2 x))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ 2 x) * [exit]simplify: Simplified to (/ 2 x) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * [exit]simplify: Simplified to (log (expm1 (/ 2 x))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (/ 2 x))) * * [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 (cube (expm1 (/ 2 x))) * [exit]simplify: Simplified to (cube (expm1 (/ 2 x))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (/ 2 x))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (exp (expm1 (/ 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * [exit]simplify: Simplified to (exp (expm1 (/ 2 x))) * [enter]simplify: Simplifying (/ (expm1 (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x))