* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 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 256 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 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 130 additional inputs, on iter 1 have 126 / 256 * * * * [misc]points: Computing exacts on every 8 of 130 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 130 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 130 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 130 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 68 additional inputs, on iter 2 have 188 / 256 * * * * [misc]points: Computing exacts on every 4 of 68 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 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 68 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 3 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 4 have 236 / 256 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 5 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 6 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (exp (- (- 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 (444 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) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp (* x x)) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (* x x)) E) in x * [misc]taylor: Taking taylor expansion of (exp (* x x)) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]taylor: Taking taylor expansion of (/ (exp (* x x)) E) in x * [misc]taylor: Taking taylor expansion of (exp (* x x)) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ 1 E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into (/ 1 E) * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* (/ 1 E) (/ 0 E)))) 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 (* (exp 0) (+ (* (/ (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 * [misc]backup-simplify: Simplify (- (/ 1/2 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into (* 1/2 (/ 1 E)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 E)) into (/ 1/2 E) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 E) (pow x 4)) (+ (* (/ 1 E) (pow x 2)) (/ 1 E))) into (+ (/ (pow x 2) E) (+ (/ 1 E) (* 1/2 (/ (pow x 4) E)))) * [misc]approximate: Taking taylor expansion of (/ (exp (* (/ 1 x) (/ 1 x))) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (* (/ 1 x) (/ 1 x))) E) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 x))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 x))) into (exp (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]taylor: Taking taylor expansion of (/ (exp (* (/ 1 x) (/ 1 x))) E) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 x))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 x))) into (exp (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow (/ 1 x) 2))) E) into (/ (exp (pow x 2)) E) * [misc]approximate: Taking taylor expansion of (/ (exp (* (/ 1 (- x)) (/ 1 (- x)))) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (* (/ 1 (- x)) (/ 1 (- x)))) E) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- x)))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- x)))) into (exp (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]taylor: Taking taylor expansion of (/ (exp (* (/ 1 (- x)) (/ 1 (- x)))) E) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- x)))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- x)))) into (exp (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow x 2))) E) into (/ (exp (/ 1 (pow x 2))) E) * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (pow x 2))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (pow (/ 1 (- x)) 2))) E) into (/ (exp (pow x 2)) E) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [exit]simplify: Simplified to (- (* x x) 1) * * * * [misc]progress: [ 3 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (exp (/ (exp (* x x)) E)) * * * * [misc]progress: [ 4 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp (* x x)) E)) (cbrt (/ (exp (* x x)) E))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (exp (* x x)) E)) (cbrt (/ (exp (* x x)) E))) * [exit]simplify: Simplified to (* (cbrt (/ (exp (* x x)) E)) (cbrt (/ (exp (* x x)) E))) * [enter]simplify: Simplifying (cbrt (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (cbrt (/ (exp (* x x)) E)) * * * * [misc]progress: [ 5 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (exp (* x x)) E) (/ (exp (* x x)) E)) (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (pow (/ (exp (* x x)) E) 3) * [exit]simplify: Simplified to (pow (/ (exp (* x x)) E) 3) * * * * [misc]progress: [ 6 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * [enter]simplify: Simplifying (sqrt (/ (exp (* x x)) E)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * * * * [misc]progress: [ 7 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* x x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (exp (* x x))) * [exit]simplify: Simplified to (- (exp (* x x))) * [enter]simplify: Simplifying (- E) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- E) * [exit]simplify: Simplified to (- E) * * * * [misc]progress: [ 8 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 E) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (/ 1 E) * [exit]simplify: Simplified to (/ 1 E) * * * * [misc]progress: [ 10 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (exp (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ E (exp (* x x))) * [exit]simplify: Simplified to (/ E (exp (* x x))) * * * * [misc]progress: [ 11 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (cbrt (exp (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ E (cbrt (exp (* x x)))) * [exit]simplify: Simplified to (/ E (cbrt (exp (* x x)))) * * * * [misc]progress: [ 12 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (sqrt (exp (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ E (sqrt (exp (* x x)))) * [exit]simplify: Simplified to (/ E (sqrt (exp (* x x)))) * * * * [misc]progress: [ 13 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (exp (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ E (exp (* x x))) * [exit]simplify: Simplified to (/ E (exp (* x x))) * * * * [misc]progress: [ 14 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (pow x 2) E) (+ (/ 1 E) (* 1/2 (/ (pow x 4) E)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (* x (/ x E)) (+ (* (pow x 4) (/ 1/2 E)) (/ 1 E))) * * * * [misc]progress: [ 15 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow x 2)) E) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * * * * [misc]progress: [ 16 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow x 2)) E) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * * * [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 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 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 8000 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 8000 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 8000 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 8000 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 8000 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 8000 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 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4010 additional inputs, on iter 1 have 3990 / 8000 * * * * [misc]points: Computing exacts on every 250 of 4010 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 4010 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 4010 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 4010 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 4010 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 4010 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 3 of 4010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4010 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1976 additional inputs, on iter 2 have 6024 / 8000 * * * * [misc]points: Computing exacts on every 123 of 1976 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 61 of 1976 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 1976 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 1976 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 1976 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 3 of 1976 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1976 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1005 additional inputs, on iter 3 have 6995 / 8000 * * * * [misc]points: Computing exacts on every 62 of 1005 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 1005 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 1005 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 1005 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 3 of 1005 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1005 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 498 additional inputs, on iter 4 have 7502 / 8000 * * * * [misc]points: Computing exacts on every 31 of 498 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 498 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 498 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 3 of 498 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 498 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 238 additional inputs, on iter 5 have 7762 / 8000 * * * * [misc]points: Computing exacts on every 14 of 238 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 238 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 3 of 238 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 238 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 116 additional inputs, on iter 6 have 7884 / 8000 * * * * [misc]points: Computing exacts on every 7 of 116 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 3 of 116 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 116 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 54 additional inputs, on iter 7 have 7946 / 8000 * * * * [misc]points: Computing exacts on every 3 of 54 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 54 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 8 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 9 have 7986 / 8000 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs