* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 60 additional inputs, on iter 1 have 196 / 256 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 60 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 2 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (expm1 x))))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (expm1 x)) 3))) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) (/ (cbrt (exp x)) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (cbrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (/ (sqrt (expm1 x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (exp x)) (/ (sqrt (expm1 x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) (/ (cbrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) (/ (exp x) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (exp x) (cbrt (expm1 x))))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (expm1 x))) (/ (exp x) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (expm1 x))) (/ (exp x) (sqrt (expm1 x))))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (expm1 x)))) * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (expm1 x)))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (sqrt (expm1 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) 1) (expm1 x))) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ -1/2 (* 1 (/ 1 x)))) into (- (+ (* 1/12 x) (/ 1 x)) 1/2) * [misc]approximate: Taking taylor expansion of (/ 1 (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 x)) 1)) into (/ 1 (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 x)) 1)) into (/ 1 (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 x)) 1)) into (/ 1 (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 (/ 1 x))) 1)) into (/ 1 (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ 1 (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 x)) 1)) into (/ 1 (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 x)) 1)) into (/ 1 (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 x)) 1)) into (/ 1 (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ 1 (- (exp x) 1)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (exp x) (/ 1 (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp x) (/ 1 (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (exp x) (/ 1 (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 1 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/12) (+ (* 1 -1/2) (* 1/2 1))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (* (exp (/ 1 x)) (/ 1 (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (/ 1 (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 x)) 1)) into (/ 1 (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (/ 1 (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ 1 x)) 1)) into (/ 1 (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (/ 1 (- (exp (/ 1 x)) 1))) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (* (exp (/ 1 (- x))) (/ 1 (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (/ 1 (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 x)) 1)) into (/ 1 (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (/ 1 (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (- (exp (/ -1 x)) 1)) into (/ 1 (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (/ 1 (- (exp (/ -1 x)) 1))) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (exp x) (pow (expm1 x) -1))) * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (exp x) (/ (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (exp x) (/ (/ 1 (sqrt (expm1 x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (exp x) (/ (/ 1 1) (expm1 x)))) * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp x) (/ 1 (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (/ (exp x) (expm1 x)) 1)) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (- (log (expm1 x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (expm1 x))))) * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (log (/ 1 (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (expm1 x))))) * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (exp x) (exp x)) (exp x)) (* (* (/ 1 (expm1 x)) (/ 1 (expm1 x))) (/ 1 (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (expm1 x)) 3))) * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (* (cbrt (/ 1 (expm1 x))) (cbrt (/ 1 (expm1 x))))) (cbrt (/ 1 (expm1 x))))) * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (sqrt (/ 1 (expm1 x)))) (sqrt (/ 1 (expm1 x))))) * * * * [misc]progress: [ 35 / 47 ] 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)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) 1) (/ 1 (expm1 x)))) * * * * [misc]progress: [ 36 / 47 ] 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)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) 1) (/ 1 (expm1 x)))) * * * * [misc]progress: [ 37 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp x)) (/ 1 (expm1 x))))) * * * * [misc]progress: [ 38 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (* (sqrt (exp x)) (/ 1 (expm1 x))))) * * * * [misc]progress: [ 39 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (exp x) 1) (expm1 x))) * * * * [misc]progress: [ 41 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 x) (/ 1 x)) 1/2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x -1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (+ (/ 1 x) (fma 1/12 x -1/2)))) * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ 1 (expm1 x)))) * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ 1 (expm1 x)))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (exp x)) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 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 1) (+ (* 1 (/ 1/2 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 * [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 (- (/ 1/8 1) (+ (* 1 (/ 1/6 1)) (* 0 (/ 1/2 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [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 (/ (- 1/6 (+ (* 2 (* 1/2 1/8)))) (* 2 1)) into 1/48 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/48 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 1/6 1)) (* -1/24 (/ 1/2 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (- 1/24 (pow 1/8 2) (+ (* 2 (* 1/2 1/48)))) (* 2 1)) into 1/384 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/120 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/120 0) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/384 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 1/24 1)) (* -1/24 (/ 1/6 1)) (* 0 (/ 1/2 1)))) into 7/5760 * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]backup-simplify: Simplify (+ (* 7/5760 (pow x 3)) (+ (* -1/24 x) (* 1 (/ 1 x)))) into (- (+ (* 7/5760 (pow x 3)) (/ 1 x)) (* 1/24 x)) * [misc]approximate: Taking taylor expansion of (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ 1 x))) (- (exp (/ 1 x)) 1)) into (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ 1 x))) (- (exp (/ 1 x)) 1)) into (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) into (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (exp (/ 1 (/ 1 x)))) (/ 1 (- (exp (/ 1 (/ 1 x))) 1))) into (* (sqrt (exp x)) (/ 1 (- (exp x) 1))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ -1 x))) (- (exp (/ -1 x)) 1)) into (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ -1 x))) (- (exp (/ -1 x)) 1)) into (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) into (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (- (exp (/ -1 (/ 1 (- x)))) 1)) (sqrt (exp (/ -1 (/ 1 (- x)))))) into (* (sqrt (exp x)) (/ 1 (- (exp x) 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/2 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 * [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 (- (/ 1/8 1) (+ (* 1 (/ 1/6 1)) (* 0 (/ 1/2 1)))) into -1/24 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1 -1/24) (+ (* 1/2 0) (* 1/8 1))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ 1 x))) (- (exp (/ 1 x)) 1)) into (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ 1 x))) (- (exp (/ 1 x)) 1)) into (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* (sqrt (exp (/ 1 x))) (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1)))) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1))) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (exp (/ 1 x))) (/ 1 (- (exp (/ 1 x)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (exp (/ 1 (- x)))) (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (/ 1 (- x)))) (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ -1 x))) (- (exp (/ -1 x)) 1)) into (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (/ 1 (- x)))) (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (exp (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqrt (exp (/ -1 x))) (- (exp (/ -1 x)) 1)) into (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (* (sqrt (exp (/ -1 x))) (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x))))) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x)))) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (- (exp (/ -1 x)) 1)) (sqrt (exp (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (/ 1 x)))) into (sqrt (exp x)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 (/ 1 (- x))))) into (sqrt (exp x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (/ 1 x)))) into (sqrt (exp x)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ -1 (/ 1 (- x))))) into (sqrt (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (exp x))) (log (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (log (sqrt (exp x))) (log (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (exp (- (log (sqrt (exp x))) (log (expm1 x)))))) * * * * [misc]progress: [ 5 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (* (expm1 x) (expm1 x))) (/ (exp x) (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (cbrt (* (/ (sqrt (exp x)) (* (expm1 x) (expm1 x))) (/ (exp x) (expm1 x)))))) * * * * [misc]progress: [ 8 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (* (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x)))) (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 13 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (/ (sqrt (expm1 x)) (cbrt (sqrt (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (cbrt (sqrt (exp x))) (/ (sqrt (expm1 x)) (cbrt (sqrt (exp x))))) (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (sqrt (expm1 x))) (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 14 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (/ (cbrt (sqrt (exp x))) (expm1 x))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (/ (cbrt (sqrt (exp x))) (expm1 x))))) * * * * [misc]progress: [ 15 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (fabs (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (fabs (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 16 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (fabs (cbrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (fabs (cbrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 17 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (fabs (cbrt (exp x))) (/ (sqrt (cbrt (exp x))) (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (fabs (cbrt (exp x))) (/ (sqrt (cbrt (exp x))) (expm1 x))))) * * * * [misc]progress: [ 18 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 19 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 20 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (sqrt (sqrt (exp x))) (/ (sqrt (sqrt (exp x))) (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (sqrt (sqrt (exp x))) (/ (sqrt (sqrt (exp x))) (expm1 x))))) * * * * [misc]progress: [ 21 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) (/ (sqrt (exp x)) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) (/ (sqrt (exp x)) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 22 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ 1 (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ 1 (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 23 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* 1 (/ (sqrt (exp x)) (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* 1 (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 24 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 25 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 26 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (sqrt (sqrt (exp x))) (/ (sqrt (sqrt (exp x))) (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (sqrt (sqrt (exp x))) (/ (sqrt (sqrt (exp x))) (expm1 x))))) * * * * [misc]progress: [ 27 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) (/ (sqrt (exp x)) (cbrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (exp x)) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 28 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* (/ 1 (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* (/ 1 (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 29 / 125 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (* 1 (/ (sqrt (exp x)) (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (* 1 (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 30 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 34 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (sqrt (expm1 x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 35 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) 1) (expm1 x)))) * * * * [misc]progress: [ 36 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (/ (expm1 x) (cbrt (sqrt (exp x))))))) * * * * [misc]progress: [ 37 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (fabs (cbrt (exp x))) (/ (expm1 x) (sqrt (cbrt (exp x))))))) * * * * [misc]progress: [ 38 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (/ (expm1 x) (sqrt (sqrt (exp x))))))) * * * * [misc]progress: [ 39 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ 1 (/ (expm1 x) (sqrt (exp x)))))) * * * * [misc]progress: [ 40 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (/ (expm1 x) (sqrt (sqrt (exp x))))))) * * * * [misc]progress: [ 41 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (/ (exp x) (expm1 x)) 1)) * * * * [misc]progress: [ 45 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (exp x))) (- (log (sqrt (exp x))) (log (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (exp x))) (- (log (sqrt (exp x))) (log (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (exp x))) (- (log (sqrt (exp x))) (log (expm1 x)))))) * * * * [misc]progress: [ 47 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (exp x))) (log (/ (sqrt (exp x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (exp x))) (- (log (sqrt (exp x))) (log (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (exp x))) (- (log (sqrt (exp x))) (log (expm1 x)))))) * * * * [misc]progress: [ 48 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (/ (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (* (* (expm1 x) (expm1 x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (/ (pow (exp x) 3) (pow (expm1 x) 3)) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (pow (exp x) 3) (pow (expm1 x) 3)))) * * * * [misc]progress: [ 51 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (* (* (/ (sqrt (exp x)) (expm1 x)) (/ (sqrt (exp x)) (expm1 x))) (/ (sqrt (exp x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (expm1 x)) 3))) * * * * [misc]progress: [ 52 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (exp x)) (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (exp x)) (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (* (cbrt (/ (sqrt (exp x)) (expm1 x))) (cbrt (/ (sqrt (exp x)) (expm1 x))))) (cbrt (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 57 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (exp x)) (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (exp x)) (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (/ (sqrt (exp x)) (expm1 x)))) (sqrt (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 58 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (cbrt (sqrt (exp x))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 59 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (sqrt (expm1 x)))) (/ (cbrt (sqrt (exp x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 60 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) 1)) (/ (cbrt (sqrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 61 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (sqrt (cbrt (exp x))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 62 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (expm1 x)))) (/ (sqrt (cbrt (exp x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 63 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) 1)) (/ (sqrt (cbrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 64 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 65 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 66 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) 1)) (/ (sqrt (sqrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 67 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt 1) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 68 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt 1) (sqrt (expm1 x)))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 69 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt 1) 1)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 70 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (sqrt (sqrt (exp x))) (cbrt (expm1 x))))) * * * * [misc]progress: [ 71 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x)))) (/ (sqrt (sqrt (exp x))) (sqrt (expm1 x))))) * * * * [misc]progress: [ 72 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (exp x))) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (exp x))) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ (sqrt (sqrt (exp x))) 1)) (/ (sqrt (sqrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 73 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x))))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 74 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ 1 (sqrt (expm1 x)))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 75 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (/ 1 1)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 76 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) 1) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 77 / 125 ] 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)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (exp x))) (/ 1 (expm1 x)))) * * * * [misc]progress: [ 78 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (* (cbrt (sqrt (exp x))) (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 79 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (exp x))) (* (sqrt (cbrt (exp x))) (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 80 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (exp x))) (* (sqrt (sqrt (exp x))) (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 81 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 82 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (exp x))) (* (sqrt (sqrt (exp x))) (/ (sqrt (exp x)) (expm1 x))))) * * * * [misc]progress: [ 83 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (exp x)) (sqrt (exp x))) (expm1 x))) * * * * [misc]progress: [ 85 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (exp x)) (/ (* (fabs (cbrt (exp x))) (sqrt (cbrt (exp x)))) (expm1 x)))) * * * * [misc]progress: [ 95 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (exp x)) (/ (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (expm1 x)))) * * * * [misc]progress: [ 96 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (exp x)) (/ (* 1 (sqrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 97 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (exp x)) (/ (fabs (sqrt (exp x))) (expm1 x)))) * * * * [misc]progress: [ 99 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (fabs (cbrt (exp x))) (sqrt (cbrt (exp x)))) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 109 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 110 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* 1 (sqrt (exp x))) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 111 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (fabs (sqrt (exp x))) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 113 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (pow x 3)) (/ 1 x)) (* 1/24 x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fma (fma x (* 7/5760 x) -1/24) x (/ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (fma (fma x (* 7/5760 x) -1/24) x (/ 1 x)))) * * * * [misc]progress: [ 115 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (exp x)) (/ 1 (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 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 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 116 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (exp x)) (/ 1 (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 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 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 117 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 118 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 119 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 120 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (fma x (fma x 1/8 1/2) 1) (expm1 x)))) * * * * [misc]progress: [ 121 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 122 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 123 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fma x (fma x 1/8 1/2) 1) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 124 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 125 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# #) * * * [misc]regime: Found split indices: #