* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 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 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 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 (- 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]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 x)) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ -1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ -1 x)) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (expm1 x)) * [exit]simplify: Simplified to (expm1 (expm1 x)) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (expm1 x)) * [exit]simplify: Simplified to (log (expm1 x)) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (expm1 x)) * [exit]simplify: Simplified to (exp (expm1 x)) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (expm1 x)) * [exit]simplify: Simplified to (cube (expm1 x)) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 13 / 13 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* 1/2 (sqr x)) (* 1 x))) into (+ (* 1/2 (sqr x)) (+ (* 1/6 (pow x 3)) x)) * [misc]approximate: Taking taylor expansion of (- (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 x)) 1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 x)) 1) into (- (exp (/ 1 x)) 1) * [misc]approximate: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (- (exp (/ -1 x)) 1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ -1 x)) 1) into (- (exp (/ -1 x)) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr x)) (+ (* 1/6 (pow x 3)) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (fma (* x x) (fma 1/6 x 1/2) x) * * * * [misc]progress: [ 2 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 x)) * * * * [misc]progress: [ 3 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ -1 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ -1 x)) * * * * [misc]progress: [ 4 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (expm1 x)) * [exit]simplify: Simplified to (expm1 (expm1 x)) * * * * [misc]progress: [ 5 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 6 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (expm1 x)) * [exit]simplify: Simplified to (log (expm1 x)) * * * * [misc]progress: [ 9 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (exp (expm1 x)) * [exit]simplify: Simplified to (exp (expm1 x)) * * * * [misc]progress: [ 10 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 11 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (expm1 x)) * [exit]simplify: Simplified to (cube (expm1 x)) * * * * [misc]progress: [ 12 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 13 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 14 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (cube (exp x)) 1) * [exit]simplify: Simplified to (- (cube (exp x)) 1) * [enter]simplify: Simplifying (+ (sqr (exp x)) (+ (sqr 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (fma (exp x) (exp x) (+ (exp x) 1)) * [exit]simplify: Simplified to (fma (exp x) (exp x) (+ (exp x) 1)) * * * * [misc]progress: [ 16 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp x)) (sqr 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [exit]simplify: Simplified to (+ 1 (exp x)) * * * * [misc]progress: [ 17 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp x)) 1) * [exit]simplify: Simplified to (+ (sqrt (exp x)) 1) * [enter]simplify: Simplifying (- (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- (sqrt (exp x)) 1) * [exit]simplify: Simplified to (- (sqrt (exp x)) 1) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x)