* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 266 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing 266 additional correct outputs * * * * [misc]points: Computing exacts on every 17 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 266 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 1 of 266 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 1 have 135 / 256 * * * * [misc]points: Computing 131 additional correct outputs * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 1 of 131 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 64 additional inputs, on iter 2 have 202 / 256 * * * * [misc]points: Computing 64 additional correct outputs * * * * [misc]points: Computing exacts on every 4 of 64 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 64 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 3 have 237 / 256 * * * * [misc]points: Computing 29 additional correct outputs * * * * [misc]points: Computing exacts on every 2 of 29 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 4 have 250 / 256 * * * * [misc]points: Computing 16 additional correct outputs * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (exp (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * * [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 (- (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (* 1/2 (exp -1)) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp -1)) (pow x 4)) (+ (* (exp -1) (pow x 2)) (exp -1))) into (+ (* 1/2 (* (exp -1) (pow x 4))) (+ (exp -1) (* (exp -1) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 x) 2)) 1)) into (exp (- (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 (- x)) 2)) 1)) into (exp (- (pow x 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp -1) * [exit]simplify: Simplified to (exp -1) * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (pow (exp (cbrt (- 1 (* x x)))) (- (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (pow (exp (cbrt (- 1 (* x x)))) (- (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (exp (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (/ 1 (exp (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [exit]simplify: Simplified to (/ 1 E) * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [exit]simplify: Simplified to (/ 1 E) * [enter]simplify: Simplifying (exp (- (- (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (exp (* x x)) * [exit]simplify: Simplified to (exp (* x x)) * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [exit]simplify: Simplified to (/ 1 E) * [enter]simplify: Simplifying (exp (- (- (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (exp (* x x)) * [exit]simplify: Simplified to (exp (* x x)) * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ E (exp (* x x))) * [exit]simplify: Simplified to (/ E (exp (* x x))) * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (exp (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ E (exp (* x x))) * [exit]simplify: Simplified to (/ E (exp (* x x))) * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [exit]simplify: Simplified to (- (* x x) 1) * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (pow (exp (/ 1 E)) (exp (* x x))) * [exit]simplify: Simplified to (pow (exp (/ 1 E)) (exp (* x x))) * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (- (- 1 (* x x))))) (cbrt (exp (- (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (- (* x x) 1))) (cbrt (exp (- (* x x) 1)))) * [exit]simplify: Simplified to (* (cbrt (exp (- (* x x) 1))) (cbrt (exp (- (* x x) 1)))) * [enter]simplify: Simplifying (cbrt (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cbrt (exp (- (* x x) 1))) * [exit]simplify: Simplified to (cbrt (exp (- (* x x) 1))) * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (- (- 1 (* x x)))) (exp (- (- 1 (* x x))))) (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (pow (exp (- (* x x) 1)) 3) * [exit]simplify: Simplified to (pow (exp (- (* x x) 1)) 3) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (exp (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (exp (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (exp (- (* x x) 1))) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (exp -1) (pow x 4))) (+ (exp -1) (* (exp -1) (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (* (+ (+ (* x x) 1) (* (pow x 4) 1/2)) (exp -1)) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (* x x) 1)) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (* x x) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqrt -1)) 1) 1)))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (sqrt -1)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt -1) 3)) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 4)) (+ (* (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) (pow x 2)) (exp (sqrt -1)))) into (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 x) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 (- x)) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 3 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * * * * [misc]progress: [ 4 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 5 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [exit]simplify: Simplified to (exp (sqrt 1)) * * * * [misc]progress: [ 6 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 7 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 8 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 9 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * * * * [misc]progress: [ 11 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 12 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [enter]simplify: Simplifying (cbrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 13 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1)))) (exp (sqrt (- (* x x) 1)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * * * * [misc]progress: [ 14 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 15 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (pow (+ (+ (* (* (exp (sqrt -1)) (/ (pow x 4) -1)) (- 1/8 (/ 1/8 (sqrt -1)))) (exp (sqrt -1))) (* (* (/ 1/2 (sqrt -1)) (* x x)) (exp (sqrt -1)))) (sqrt (+ (* x x) (- 1)))) * * * * [misc]progress: [ 17 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (sqrt (- (pow x 2) 1))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 18 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (sqrt (- (pow x 2) 1))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * [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 / 2 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqrt -1)) 1) 1)))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (sqrt -1)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt -1) 3)) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 4)) (+ (* (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) (pow x 2)) (exp (sqrt -1)))) into (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 x) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 (- x)) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x 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]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqrt -1)) 1) 1)))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (sqrt -1)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt -1) 3)) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 4)) (+ (* (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) (pow x 2)) (exp (sqrt -1)))) into (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 x) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 (- x)) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [exit]simplify: Simplified to (exp (sqrt 1)) * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 8 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 9 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * * * * [misc]progress: [ 11 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 12 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [enter]simplify: Simplifying (cbrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 13 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1)))) (exp (sqrt (- (* x x) 1)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * * * * [misc]progress: [ 14 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 15 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 18 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * * * * [misc]progress: [ 19 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 20 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [exit]simplify: Simplified to (exp (sqrt 1)) * * * * [misc]progress: [ 21 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 24 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * * * * [misc]progress: [ 26 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (exp (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 27 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [exit]simplify: Simplified to (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) * [enter]simplify: Simplifying (cbrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (cbrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1)))) (exp (sqrt (- (* x x) 1)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) 3) * * * * [misc]progress: [ 29 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [enter]simplify: Simplifying (sqrt (exp (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (sqrt (exp (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (+ (+ (* (/ (exp (sqrt -1)) (/ (sqrt -1) (* x x))) 1/2) (exp (sqrt -1))) (- (* 1/8 (/ (exp (sqrt -1)) (/ -1 (pow x 4)))) (* (/ (exp (sqrt -1)) (/ -1 (pow x 4))) (/ 1/8 (sqrt -1))))))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (exp (sqrt (- (pow x 2) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 33 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (exp (sqrt (- (pow x 2) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (- (+ (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (exp (sqrt -1)))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3))))) (sqrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (+ (/ (* (exp (sqrt -1)) (* (* x x) 1/2)) (sqrt -1)) (+ (exp (sqrt -1)) (* (/ (exp (sqrt -1)) (/ -1 1/8)) (- (pow x 4) (/ (pow x 4) (sqrt -1)))))))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (exp (sqrt (- (pow x 2) 1)))) (sqrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (sqrt (exp (sqrt (- (pow x 2) 1)))) (sqrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (exp (- (- 1 (* x x)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (exp (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (- (- 1 (* x x)))) * * * * [misc]points: Sampling 8010 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing 8010 additional correct outputs * * * * [misc]points: Computing exacts on every 501 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 63 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 16 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 8010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 8010 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3958 additional inputs, on iter 1 have 4052 / 8000 * * * * [misc]points: Computing 3958 additional correct outputs * * * * [misc]points: Computing exacts on every 247 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 124 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 3958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 3958 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1978 additional inputs, on iter 2 have 6032 / 8000 * * * * [misc]points: Computing 1978 additional correct outputs * * * * [misc]points: Computing exacts on every 124 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 1978 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 1978 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 958 additional inputs, on iter 3 have 7052 / 8000 * * * * [misc]points: Computing 958 additional correct outputs * * * * [misc]points: Computing exacts on every 60 of 958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 958 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 958 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 457 additional inputs, on iter 4 have 7553 / 8000 * * * * [misc]points: Computing 457 additional correct outputs * * * * [misc]points: Computing exacts on every 29 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 14 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 457 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 233 additional inputs, on iter 5 have 7777 / 8000 * * * * [misc]points: Computing 233 additional correct outputs * * * * [misc]points: Computing exacts on every 15 of 233 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 233 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 233 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 233 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 119 additional inputs, on iter 6 have 7891 / 8000 * * * * [misc]points: Computing 119 additional correct outputs * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 119 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 63 additional inputs, on iter 7 have 7947 / 8000 * * * * [misc]points: Computing 63 additional correct outputs * * * * [misc]points: Computing exacts on every 4 of 63 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 63 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 37 additional inputs, on iter 8 have 7973 / 8000 * * * * [misc]points: Computing 37 additional correct outputs * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 1 of 37 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 7989 / 8000 * * * * [misc]points: Computing 21 additional correct outputs * * * * [misc]points: Computing exacts on every 1 of 21 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs