* [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 70 additional inputs, on iter 2 have 186 / 256 * * * * [misc]points: Computing exacts on every 4 of 70 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 70 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 70 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 3 have 224 / 256 * * * * [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 16 additional inputs, on iter 4 have 240 / 256 * * * * [misc]points: Computing exacts for 16 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 5 additional inputs, on iter 5 have 251 / 256 * * * * [misc]points: Computing exacts for 5 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 6 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 7 have 254 / 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 (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) * * [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 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) into (* 1/3 (acos (* -1 (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (* PI 2/3)) * [exit]simplify: Simplified to (log (* PI 2/3)) * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (pow PI 3) 27/8) * [exit]simplify: Simplified to (/ (pow PI 3) 27/8) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* -2 PI) * [exit]simplify: Simplified to (* -2 PI) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3 * [exit]simplify: Simplified to -3 * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/3 * [exit]simplify: Simplified to 1/3 * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 3/2 PI) * [exit]simplify: Simplified to (/ 3/2 PI) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (log (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (log (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (pow (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)) 3) * [exit]simplify: Simplified to (pow (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)) 3) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (+ (* PI 6) (* (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (+ (* PI 6) (* (acos (- (/ g h))) 3)) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 9 * [exit]simplify: Simplified to 9 * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ (* 2 PI) 3) 3) (pow (/ (acos (/ (- g) h)) 3) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (+ (/ (* (acos (- (/ g h))) (acos (- (/ g h)))) (/ 27 (acos (- (/ g h))))) (* 8/27 (pow PI 3))) * [exit]simplify: Simplified to (+ (/ (* (acos (- (/ g h))) (acos (- (/ g h)))) (/ 27 (acos (- (/ g h))))) (* 8/27 (pow PI 3))) * [enter]simplify: Simplifying (+ (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (- (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (* (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (+ (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (- (* (* 2/3 PI) (* 2/3 PI)) (/ (acos (- (/ g h))) (/ 9/2 PI)))) * [exit]simplify: Simplified to (+ (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (- (* (* 2/3 PI) (* 2/3 PI)) (/ (acos (- (/ g h))) (/ 9/2 PI)))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)) (- (* PI 2/3) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)) (- (* PI 2/3) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (- (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (- (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* PI 2)) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* PI 2)) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (+ (* 2/3 PI) (/ PI 6)) * [exit]simplify: Simplified to (+ (* 2/3 PI) (/ PI 6)) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ PI 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (+ (* 2/3 PI) (/ PI 3)) * [exit]simplify: Simplified to (+ (* 2/3 PI) (/ PI 3)) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ PI 3/2))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ PI 3/2))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ PI 3/2))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ PI 3/2))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (/ PI 6))) (cos (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (/ PI 6))) (cos (/ (asin (/ (- g) h)) 3))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (sin (+ (* PI 2/3) (/ PI 6))) (sin (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (sin (+ (* PI 2/3) (/ PI 6))) (sin (/ (asin (/ (- g) h)) 3))) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (log (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (exp (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (exp (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) * [exit]simplify: Simplified to (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) * [enter]simplify: Simplifying (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (pow (cos (+ (* 2/3 PI) (/ (acos (- (/ g h))) 3))) 3) * [exit]simplify: Simplified to (pow (cos (+ (* 2/3 PI) (/ (acos (- (/ g h))) 3))) 3) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (cbrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (* (acos (- (/ g h))) (acos (- (/ g h)))) (/ 27 (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ (* (acos (- (/ g h))) (acos (- (/ g h)))) (/ 27 (acos (- (/ g h))))) * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3 * [exit]simplify: Simplified to -3 * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI 6) * [exit]simplify: Simplified to (/ PI 6) * [enter]simplify: Simplifying (/ (asin (/ (- g) h)) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [exit]simplify: Simplified to (/ PI 3) * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/3 * [exit]simplify: Simplified to 1/3 * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (cbrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (sqrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ PI 3/2) (* (acos (- (/ g h))) 1/3))) 2) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ PI 3/2) (* (acos (- (/ g h))) 1/3))) 2) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ PI 3/2) (* (acos (- (/ g h))) 1/3))) 2) * * * [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 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ PI 3/2)) (cos (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (/ PI 3/2)) 1/2) * [exit]simplify: Simplified to (* (sin (/ PI 3/2)) 1/2) * [enter]simplify: Simplifying (* (cos (/ PI 3/2)) (sin (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos (/ PI 3/2)) (/ 2 (sqrt 3))) * [exit]simplify: Simplified to (/ (cos (/ PI 3/2)) (/ 2 (sqrt 3))) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sin (+ (/ PI 3) (/ PI 3/2)))) * [exit]simplify: Simplified to (log (sin (+ (/ PI 3) (/ PI 3/2)))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sin (+ (/ PI 3) (/ PI 3/2)))) * [exit]simplify: Simplified to (exp (sin (+ (/ PI 3) (/ PI 3/2)))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ (/ PI 3/2) (/ PI 3)))) (cbrt (sin (+ (/ PI 3/2) (/ PI 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (+ (/ PI 3) (/ PI 3/2)))) (cbrt (sin (+ (/ PI 3) (/ PI 3/2))))) * [exit]simplify: Simplified to (* (cbrt (sin (+ (/ PI 3) (/ PI 3/2)))) (cbrt (sin (+ (/ PI 3) (/ PI 3/2))))) * [enter]simplify: Simplifying (cbrt (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sin (+ (/ PI 3) (/ PI 3/2)))) * [exit]simplify: Simplified to (cbrt (sin (+ (/ PI 3) (/ PI 3/2)))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (+ (/ PI 3/2) (/ PI 3))) (sin (+ (/ PI 3/2) (/ PI 3)))) (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (sin (+ (/ PI 3) (/ PI 3/2))) 3) * [exit]simplify: Simplified to (pow (sin (+ (/ PI 3) (/ PI 3/2))) 3) * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ (/ PI 3) (/ PI 3/2)))) * [exit]simplify: Simplified to (sqrt (sin (+ (/ PI 3) (/ PI 3/2)))) * [enter]simplify: Simplifying (sqrt (sin (+ (/ PI 3/2) (/ PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ (/ PI 3) (/ PI 3/2)))) * [exit]simplify: Simplified to (sqrt (sin (+ (/ PI 3) (/ PI 3/2)))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3)) * [exit]simplify: Simplified to (log (/ PI 3)) * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ PI 3)) * [exit]simplify: Simplified to (exp (/ PI 3)) * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [enter]simplify: Simplifying (cbrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3) (/ PI 3)) (/ PI 3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (/ PI 27) (* PI PI)) * [exit]simplify: Simplified to (* (/ PI 27) (* PI PI)) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3 * [exit]simplify: Simplified to -3 * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/3 * [exit]simplify: Simplified to 1/3 * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3)) * [exit]simplify: Simplified to (log (/ PI 3)) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ PI 3)) * [exit]simplify: Simplified to (exp (/ PI 3)) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [enter]simplify: Simplifying (cbrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3) (/ PI 3)) (/ PI 3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (/ PI 27) (* PI PI)) * [exit]simplify: Simplified to (* (/ PI 27) (* PI PI)) * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3 * [exit]simplify: Simplified to -3 * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/3 * [exit]simplify: Simplified to 1/3 * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3/2)) * [exit]simplify: Simplified to (log (/ PI 3/2)) * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * [enter]simplify: Simplifying (cbrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3/2)) * [exit]simplify: Simplified to (cbrt (/ PI 3/2)) * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3/2) (/ PI 3/2)) (/ PI 3/2)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ PI 27/8) (* PI PI)) * [exit]simplify: Simplified to (* (/ PI 27/8) (* PI PI)) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [enter]simplify: Simplifying (sqrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3/2 * [exit]simplify: Simplified to -3/2 * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3/2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2/3 * [exit]simplify: Simplified to 2/3 * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3/2 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3/2 PI) * [exit]simplify: Simplified to (/ 3/2 PI) * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (+ (/ PI 3/2) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (+ (/ PI 3/2) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (+ (/ PI 3) (/ PI 3/2))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (+ (/ PI 3) (/ PI 3/2))) 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) in h * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) in h * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9)) in h * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) in h * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 h) (/ 1 g)))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9)) in h * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9)) in g * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) in h * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 1) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (* 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))))) into (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 h) (/ 1 g)))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (acos (- (/ g h))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (acos (- (/ (/ 1 h) (/ 1 g))))) into (* 3 (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))) into (* 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ g h))) 3) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ g h)))) into (* 3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ g h))))) into (+ (* 6 PI) (* 3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ g h))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 h) (/ 1 g))))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in h * [misc]taylor: Taking taylor expansion of (* PI 6) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in h * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) 9) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 6) (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (* PI 6) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 6 in g * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 9 in g * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* PI 6) into (* 6 PI) * [misc]backup-simplify: Simplify (* (acos (- (/ h g))) 3) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 PI) (* 3 (acos (- (/ h g))))) 9) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of 1/9 in h * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 6 PI) (* 3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 6 PI) in h * [misc]taylor: Taking taylor expansion of 6 in h * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 6 PI) into (* 6 PI) * [misc]backup-simplify: Simplify (* 3 (acos (- (/ h g)))) into (* 3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 6 PI) (* 3 (acos (- (/ h g))))) into (+ (* 6 PI) (* 3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 6 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (/ h g))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ h g)))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))))) into (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (log (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (exp (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) (cbrt (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) 3) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* PI 6)) (exp (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (exp (* 6 PI)) (pow (exp 3) (acos (- (/ g h))))) * [exit]simplify: Simplified to (* (exp (* 6 PI)) (pow (exp 3) (acos (- (/ g h))))) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (log (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * [exit]simplify: Simplified to (log (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (pow (exp 3) (acos (/ (- g) h))) (exp (* 6 PI))) * [exit]simplify: Simplified to (* (pow (exp 3) (acos (/ (- g) h))) (exp (* 6 PI))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* PI 6) (* (acos (- (/ g h))) 3))) (cbrt (+ (* PI 6) (* (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h)))))) * [exit]simplify: Simplified to (* (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h)))))) * [enter]simplify: Simplifying (cbrt (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * [exit]simplify: Simplified to (cbrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* PI 6) (* (acos (- (/ g h))) 3)) (+ (* PI 6) (* (acos (- (/ g h))) 3))) (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (pow (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 3) * [exit]simplify: Simplified to (pow (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 3) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * [exit]simplify: Simplified to (sqrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * [enter]simplify: Simplifying (sqrt (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * [exit]simplify: Simplified to (sqrt (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* PI 6) 3) (pow (* (acos (- (/ g h))) 3) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (+ (* (* PI 216) (* PI PI)) (* (* (acos (/ (- g) h)) 27) (* (acos (/ (- g) h)) (acos (/ (- g) h))))) * [exit]simplify: Simplified to (+ (* (* PI 216) (* PI PI)) (* (* (acos (/ (- g) h)) 27) (* (acos (/ (- g) h)) (acos (/ (- g) h))))) * [enter]simplify: Simplifying (+ (* (* PI 6) (* PI 6)) (- (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3)) (* (* PI 6) (* (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (+ (- (* (acos (- (/ g h))) (* -18 PI)) (* PI (* PI -36))) (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (+ (- (* (acos (- (/ g h))) (* -18 PI)) (* PI (* PI -36))) (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* PI 6) (* PI 6)) (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (+ (* (* PI PI) 36) (* (acos (- (/ g h))) (* (acos (- (/ g h))) -9))) * [exit]simplify: Simplified to (+ (* (* PI PI) 36) (* (acos (- (/ g h))) (* (acos (- (/ g h))) -9))) * [enter]simplify: Simplifying (- (* PI 6) (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (- (* 6 PI) (* 3 (acos (/ (- g) h)))) * [exit]simplify: Simplified to (- (* 6 PI) (* 3 (acos (/ (- g) h)))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* 3 (acos (- (/ g h))))) * [exit]simplify: Simplified to (log (* 3 (acos (- (/ g h))))) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (pow (exp 3) (acos (- (/ g h)))) * [exit]simplify: Simplified to (pow (exp 3) (acos (- (/ g h)))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (acos (- (/ g h))) 3)) (cbrt (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* 3 (acos (/ (- g) h)))) (cbrt (* 3 (acos (/ (- g) h))))) * [exit]simplify: Simplified to (* (cbrt (* 3 (acos (/ (- g) h)))) (cbrt (* 3 (acos (/ (- g) h))))) * [enter]simplify: Simplifying (cbrt (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* 3 (acos (/ (- g) h)))) * [exit]simplify: Simplified to (cbrt (* 3 (acos (/ (- g) h)))) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3)) (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (* 27 (acos (/ (- g) h))) (* (acos (/ (- g) h)) (acos (/ (- g) h)))) * [exit]simplify: Simplified to (* (* 27 (acos (/ (- g) h))) (* (acos (/ (- g) h)) (acos (/ (- g) h)))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (acos (/ (- g) h)))) * [exit]simplify: Simplified to (sqrt (* 3 (acos (/ (- g) h)))) * [enter]simplify: Simplifying (sqrt (* (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (acos (/ (- g) h)))) * [exit]simplify: Simplified to (sqrt (* 3 (acos (/ (- g) h)))) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (- (/ g h)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* 3 (cbrt (acos (/ (- g) h)))) * [exit]simplify: Simplified to (* 3 (cbrt (acos (/ (- g) h)))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (acos (- (/ g h)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* 3 (sqrt (acos (/ (- g) h)))) * [exit]simplify: Simplified to (* 3 (sqrt (acos (/ (- g) h)))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (- (/ g h))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* 3 (acos (/ (- g) h))) * [exit]simplify: Simplified to (* 3 (acos (/ (- g) h))) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [exit]simplify: Simplified to (log (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [exit]simplify: Simplified to (exp (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) (cbrt (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9))) * [enter]simplify: Simplifying (cbrt (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [exit]simplify: Simplified to (cbrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9) (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (/ (* (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) (/ 729 (+ (* 6 PI) (* 3 (acos (/ (- g) h)))))) * [exit]simplify: Simplified to (/ (* (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) (+ (* 6 PI) (* 3 (acos (/ (- g) h))))) (/ 729 (+ (* 6 PI) (* 3 (acos (/ (- g) h)))))) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [exit]simplify: Simplified to (sqrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [enter]simplify: Simplifying (sqrt (/ (+ (* PI 6) (* (acos (- (/ g h))) 3)) 9)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * [exit]simplify: Simplified to (sqrt (/ (+ (* 6 PI) (* 3 (acos (/ (- g) h)))) 9)) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (+ (* -3 (acos (/ (- g) h))) (* PI -6)) * [exit]simplify: Simplified to (+ (* -3 (acos (/ (- g) h))) (* PI -6)) * [enter]simplify: Simplifying (- 9) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -9 * [exit]simplify: Simplified to -9 * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 9) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/9 * [exit]simplify: Simplified to 1/9 * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 9 (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 9 (+ (* (acos (/ (- g) h)) 3) (* 6 PI))) * [exit]simplify: Simplified to (/ 9 (+ (* (acos (/ (- g) h)) 3) (* 6 PI))) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 9 (cbrt (+ (* PI 6) (* (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ 9 (cbrt (+ (* (acos (/ (- g) h)) 3) (* 6 PI)))) * [exit]simplify: Simplified to (/ 9 (cbrt (+ (* (acos (/ (- g) h)) 3) (* 6 PI)))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 9 (sqrt (+ (* PI 6) (* (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ 9 (sqrt (+ (* (acos (/ (- g) h)) 3) (* 6 PI)))) * [exit]simplify: Simplified to (/ 9 (sqrt (+ (* (acos (/ (- g) h)) 3) (* 6 PI)))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 9 (+ (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 9 (+ (* (acos (/ (- g) h)) 3) (* 6 PI))) * [exit]simplify: Simplified to (/ 9 (+ (* (acos (/ (- g) h)) 3) (* 6 PI))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 9 (+ (* (* PI 6) (* PI 6)) (- (* (* (acos (- (/ g h))) 3) (* (acos (- (/ g h))) 3)) (* (* PI 6) (* (acos (- (/ g h))) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (* 54 PI) -3) (acos (- (/ g h)))) (* (* 324 PI) PI)) (* (* 81 (acos (- (/ g h)))) (acos (- (/ g h))))) * [exit]simplify: Simplified to (+ (+ (* (* (* 54 PI) -3) (acos (- (/ g h)))) (* (* 324 PI) PI)) (* (* 81 (acos (- (/ g h)))) (acos (- (/ g h))))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 9 (- (* PI 6) (* (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (* (acos (/ (- g) h)) -27) (* PI 54)) * [exit]simplify: Simplified to (+ (* (acos (/ (- g) h)) -27) (* PI 54)) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* PI 6)) 9)) 2) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* PI 6)) 9)) 2) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* 6 PI) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* PI 6)) 9)) 2) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* PI 6) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* 6 PI)) 9)) 2) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* PI 6) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* 6 PI)) 9)) 2) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (+ (* PI 6) (* 3 (acos (- (/ g h))))) 9))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* (acos (- (/ g h))) 3) (* 6 PI)) 9)) 2) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/9 (+ (* 6 PI) (* 3 (acos (- (/ g h)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI 2/3) (* (acos (/ (- g) h)) 1/3))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ g h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ g h))) 3) into (* 1/3 (acos (- (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ g h))) 3) into (* 1/3 (acos (- (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ g h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ g h))) 3) into (* 1/3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (- (/ g h)))) into (* 1/3 (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (- (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 g) (/ 1 h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (- (/ h g)))) into (* 1/3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ (/ 1 h) (/ 1 g)))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in h * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ PI 3/2) (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ PI 3/2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3/2 in g * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify (/ PI 3/2) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (- (/ h g))) 3) into (* 1/3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (- (/ h g)))) into (* 1/3 (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (- (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3/2) (+ (* (* 2/3 PI) (/ 0 3/2)) (* 0 (/ 0 3/2)) (* 0 (/ 0 3/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (- (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))) into (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3/2)) * [exit]simplify: Simplified to (log (/ PI 3/2)) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * [exit]simplify: Simplified to (exp (/ PI 3/2)) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3/2)) (cbrt (/ PI 3/2))) * [enter]simplify: Simplifying (cbrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3/2)) * [exit]simplify: Simplified to (cbrt (/ PI 3/2)) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3/2) (/ PI 3/2)) (/ PI 3/2)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ PI 27/8) (* PI PI)) * [exit]simplify: Simplified to (* (/ PI 27/8) (* PI PI)) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [enter]simplify: Simplifying (sqrt (/ PI 3/2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * [exit]simplify: Simplified to (sqrt (/ PI 3/2)) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -3/2 * [exit]simplify: Simplified to -3/2 * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3/2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2/3 * [exit]simplify: Simplified to 2/3 * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3/2 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3/2 PI) * [exit]simplify: Simplified to (/ 3/2 PI) * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 2/3 PI)) * [exit]simplify: Simplified to (log (* 2/3 PI)) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 2/3 PI)) * [exit]simplify: Simplified to (exp (* 2/3 PI)) * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 2/3)) (cbrt (* PI 2/3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [enter]simplify: Simplifying (cbrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 2/3) (* PI 2/3)) (* PI 2/3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (* PI 8/27) (* PI PI)) * [exit]simplify: Simplified to (* (* PI 8/27) (* PI PI)) * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [enter]simplify: Simplifying (sqrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 2/3 PI)) * [exit]simplify: Simplified to (log (* 2/3 PI)) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 2/3 PI)) * [exit]simplify: Simplified to (exp (* 2/3 PI)) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 2/3)) (cbrt (* PI 2/3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [exit]simplify: Simplified to (* (cbrt (* 2/3 PI)) (cbrt (* 2/3 PI))) * [enter]simplify: Simplifying (cbrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * [exit]simplify: Simplified to (cbrt (* 2/3 PI)) * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 2/3) (* PI 2/3)) (* PI 2/3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (* PI 8/27) (* PI PI)) * [exit]simplify: Simplified to (* (* PI 8/27) (* PI PI)) * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [enter]simplify: Simplifying (sqrt (* PI 2/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * [exit]simplify: Simplified to (sqrt (* 2/3 PI)) * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ PI 3/2)) (exp (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))) * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [exit]simplify: Simplified to (log (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [exit]simplify: Simplified to (exp (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)))) * [enter]simplify: Simplifying (cbrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [exit]simplify: Simplified to (cbrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (pow (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) 3) * [exit]simplify: Simplified to (pow (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) 3) * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [enter]simplify: Simplifying (sqrt (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3))) * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI 3) (* 3/2 (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (* 3 PI) (* (acos (- (/ g h))) 3/2)) * [exit]simplify: Simplified to (+ (* 3 PI) (* (acos (- (/ g h))) 3/2)) * [enter]simplify: Simplifying (* 3/2 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 9/2 * [exit]simplify: Simplified to 9/2 * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ PI 3/2) 3) (pow (/ (acos (- (/ g h))) 3) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 27/8) (* PI PI)) (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (/ (acos (/ (- g) h)) 27))) * [exit]simplify: Simplified to (+ (* (/ PI 27/8) (* PI PI)) (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (/ (acos (/ (- g) h)) 27))) * [enter]simplify: Simplifying (+ (* (/ PI 3/2) (/ PI 3/2)) (- (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (* (/ PI 3/2) (/ (acos (- (/ g h))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (+ (- (* (/ PI 9/4) PI) (* (/ PI 9/2) (acos (- (/ g h))))) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (+ (- (* (/ PI 9/4) PI) (* (/ PI 9/2) (acos (- (/ g h))))) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI 3/2) (/ PI 3/2)) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (+ (/ (acos (- (/ g h))) 3) (/ PI 3/2)) (- (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (+ (/ (acos (- (/ g h))) 3) (/ PI 3/2)) (- (/ PI 3/2) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (- (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (- (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ PI 3/2) (/ (/ PI 2) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ PI 6)) * [exit]simplify: Simplified to (+ (/ PI 3/2) (/ PI 6)) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ PI 3/2) (/ PI 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (/ PI 3) (/ PI 3/2)) * [exit]simplify: Simplified to (+ (/ PI 3) (/ PI 3/2)) * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (/ PI 3/2) (/ (acos (- (/ g h))) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))))) (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2/3 PI)))))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI))))) (* (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))) 2)) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI))))) (* (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))) 2)) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (* PI 2/3) (/ (acos (- (/ g h))) 3))))) (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI)))) (cbrt (cos (+ (/ (acos (- (/ g h))) 3) (* 2/3 PI))))) (* (cbrt (cos (+ (* 2/3 PI) (* 1/3 (acos (- (/ g h))))))) 2)) * * * [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 (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (sin (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [enter]simplify: Simplifying (sin (+ (/ PI 3/2) (/ PI 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sin (+ (/ PI 3) (/ PI 3/2))) * [exit]simplify: Simplified to (sin (+ (/ PI 3) (/ PI 3/2))) * * * * [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 4051 additional inputs, on iter 1 have 3949 / 8000 * * * * [misc]points: Computing exacts on every 253 of 4051 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 126 of 4051 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 4051 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 4051 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 4051 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 4051 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 4051 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4051 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 2044 additional inputs, on iter 2 have 5956 / 8000 * * * * [misc]points: Computing exacts on every 127 of 2044 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 2044 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 2044 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 2044 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 2044 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 2044 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2044 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 1013 additional inputs, on iter 3 have 6987 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1013 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 1013 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 1013 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 1013 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 1013 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1013 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 508 additional inputs, on iter 4 have 7492 / 8000 * * * * [misc]points: Computing exacts on every 31 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 508 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 508 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 253 additional inputs, on iter 5 have 7747 / 8000 * * * * [misc]points: Computing exacts on every 15 of 253 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 253 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 253 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 253 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 113 additional inputs, on iter 6 have 7887 / 8000 * * * * [misc]points: Computing exacts on every 7 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 113 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 57 additional inputs, on iter 7 have 7943 / 8000 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 57 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [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 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs