* [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 137 additional inputs, on iter 1 have 119 / 256 * * * * [misc]points: Computing exacts on every 8 of 137 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 137 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 137 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 137 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 64 additional inputs, on iter 2 have 192 / 256 * * * * [misc]points: Computing exacts on every 4 of 64 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 64 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 64 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 37 additional inputs, on iter 3 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 37 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 22 additional inputs, on iter 4 have 234 / 256 * * * * [misc]points: Computing exacts for 22 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 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 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 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))))"}* * * * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in 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]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 (/ g h)))) into (* 1/3 (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)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 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 (/ 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 (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (/ 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (/ 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * * * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in 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]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 (/ g h)))) into (* 1/3 (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)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 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 (/ 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (/ g h)))) (* 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 (/ g h)))) (* 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 (/ 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (/ g h)))) (* 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 (/ g h)))) (* 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 (/ 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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 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 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [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 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (* (/ 2 3) PI)) * [exit]simplify: Simplified to (log (* (/ 2 3) PI)) * * * * [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 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [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 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* PI 2) 3)) (cbrt (/ (* PI 2) 3))) * [exit]simplify: Simplified to (* (cbrt (/ (* PI 2) 3)) (cbrt (/ (* PI 2) 3))) * [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 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (/ 3 2))) * [exit]simplify: Simplified to (cbrt (/ PI (/ 3 2))) * * * * [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 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ PI 3) 2) 3) * [exit]simplify: Simplified to (pow (* (/ PI 3) 2) 3) * * * * [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 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (/ 3 2))) * [exit]simplify: Simplified to (sqrt (/ PI (/ 3 2))) * [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 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (/ 3 2))) * [exit]simplify: Simplified to (sqrt (/ PI (/ 3 2))) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (- PI) 2) * [exit]simplify: Simplified to (* (- PI) 2) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 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 (5 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 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [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 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 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 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3))) * [exit]simplify: Simplified to (log (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI)))) * * * * [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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2)))) (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (* (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2)))) (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [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 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3))) * [exit]simplify: Simplified to (cbrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (112 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (pow (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI))) 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 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* 3 (+ (acos (/ (- g) h)) (* PI 2))) * [exit]simplify: Simplified to (* 3 (+ (acos (/ (- g) h)) (* PI 2))) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [exit]simplify: Simplified to (* 3 3) * * * * [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 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (+ (pow (* (/ 2 3) PI) 3) (pow (/ (acos (- (/ g h))) 3) 3)) * [exit]simplify: Simplified to (+ (pow (* (/ 2 3) PI) 3) (pow (/ (acos (- (/ g h))) 3) 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 (106 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (- (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (* (/ (/ 2 3) (/ 3 PI)) (- (acos (- (/ g h))) (* PI 2)))) * [exit]simplify: Simplified to (- (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (* (/ (/ 2 3) (/ 3 PI)) (- (acos (- (/ g h))) (* PI 2)))) * * * * [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 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (326 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 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 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 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))) * [exit]simplify: Simplified to (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))) * * * * [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 (+ (* PI 2) (acos (/ (- g) h))) * [exit]simplify: Simplified to (+ (* PI 2) (acos (/ (- g) h))) * * * * [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 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)) * [exit]simplify: Simplified to (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)) * * * * [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 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * [exit]simplify: Simplified to (* (+ 2 1) (/ 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 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 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cos (/ (asin (/ (- g) h)) 3)) (cos (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)))) * [exit]simplify: Simplified to (* (cos (/ (asin (/ (- g) h)) 3)) (cos (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)))) * [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 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sin (/ (asin (/ (- g) h)) 3)) (sin (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)))) * [exit]simplify: Simplified to (* (sin (/ (asin (/ (- g) h)) 3)) (sin (+ (/ (/ PI 2) 3) (* (/ 2 3) PI)))) * * * * [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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (log (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * * * * [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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (exp (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * * * * [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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3))))) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3)))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * * * * [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 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (pow (cos (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI)))) 3) * [exit]simplify: Simplified to (pow (cos (+ (/ (acos (/ (- g) h)) 3) (/ 2 (/ 3 PI)))) 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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [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 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ (acos (/ (- g) h)) 3) (/ PI (/ 3 2))))) * * * * [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 (60 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * * * * [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) * [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 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI 3) 2) * [exit]simplify: Simplified to (/ (/ PI 3) 2) * [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 (5 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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ (acos (/ (- g) h)) 3) (/ (* PI 2) 3)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) * * [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 (* 2 (cos (+ (* (acos (- (/ g h))) 1/3) (* 2/3 PI)))) * * * * [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 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (/ (* PI 2) 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 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (/ (* PI 2) 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 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (/ (* PI 2) 3))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) * * * * [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) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (log (sin (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (log (sin (/ (+ 2 1) (/ 3 PI)))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (exp (sin (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (exp (sin (/ (+ 2 1) (/ 3 PI)))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (* (+ 2 1) (/ PI 3)))) (cbrt (sin (* (+ 2 1) (/ PI 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (* (/ PI 3) (+ 2 1)))) (cbrt (sin (* (/ PI 3) (+ 2 1))))) * [exit]simplify: Simplified to (* (cbrt (sin (* (/ PI 3) (+ 2 1)))) (cbrt (sin (* (/ PI 3) (+ 2 1))))) * [enter]simplify: Simplifying (cbrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ 2 1) (/ 3 PI)))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (* (+ 2 1) (/ PI 3))) (sin (* (+ 2 1) (/ PI 3)))) (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ 2 1) (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ 2 1) (/ 3 PI))) 3) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ 2 1) (/ 3 PI)))) * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ 2 1) (/ 3 PI)))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] 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: [ 10 / 62 ] 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: [ 11 / 62 ] 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: [ 12 / 62 ] 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 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * * * * [misc]progress: [ 13 / 62 ] 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: [ 14 / 62 ] 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) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 17 / 62 ] 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: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] 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: [ 20 / 62 ] 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: [ 21 / 62 ] 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: [ 22 / 62 ] 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 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * * * * [misc]progress: [ 23 / 62 ] 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: [ 24 / 62 ] 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) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 27 / 62 ] 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: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 2 1))) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 2 1))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 2 1))) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 2 1))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 2 1))) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 2 1))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 2 1) (/ 3 PI))) (cbrt (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 2 1) (/ 3 PI))) (cbrt (/ (+ 2 1) (/ 3 PI)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (* (+ 2 1) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (* (+ 2 1) (/ PI 3)) 3) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ PI (* (* PI 2) (* 2 2))) * [exit]simplify: Simplified to (+ PI (* (* PI 2) (* 2 2))) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* 2 (* 3 2))) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* 2 (* 3 2))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (* PI (* 2 2)) PI) * [exit]simplify: Simplified to (- (* PI (* 2 2)) PI) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * [exit]simplify: Simplified to (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 2 1)) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 2 1)) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (+ 2 1) * [exit]simplify: Simplified to (+ 2 1) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ PI (* PI 2)) * [exit]simplify: Simplified to (+ PI (* PI 2)) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 2 1)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 2 1)) (/ 3 PI)) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 1)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 2 1)) (/ 3 PI)) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ PI (* PI 2)) * [exit]simplify: Simplified to (+ PI (* PI 2)) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 2 1) (/ PI 3))) 2)) (* (sin (/ (acos (/ g h)) 3)) (* (sin (* (+ 2 1) (/ PI 3))) 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(g h) (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 3 / 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 (/ 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 (/ (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 (/ (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 (* 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 (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ g h)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ g h))) into (* 1/3 (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]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ 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 (/ 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 (/ (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 (* 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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 h) (/ 1 g)))) into (* 1/3 (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]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ 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 (/ 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 (/ (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 (* 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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ 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 (- h)) (/ 1 (- g))))) into (* 1/3 (acos (/ g h))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))) in h * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (+ 2 1) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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]backup-simplify: Simplify (+ 2 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ g h))))) 1) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ g h))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ g h))))) 0) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ g h)))) in h * [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 (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ g h))))) 1) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ g h))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ g h))))) 0) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ g h))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ g h))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ g h))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ g h))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ g h))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]approximate: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (+ 2 1) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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]backup-simplify: Simplify (+ 2 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ h g)))) in h * [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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ (/ 1 h) (/ 1 g)))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]approximate: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (+ 2 1) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in h * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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]backup-simplify: Simplify (+ 2 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ 2 1) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (+ 2 1) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in g * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 3) 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 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 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 1) into 3 * [misc]backup-simplify: Simplify (* 3 (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ h g)))) in h * [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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) 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) 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 (- PI (* 1/3 (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 (- PI (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g))))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 70 ] 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: [ 3 / 70 ] 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: [ 4 / 70 ] 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: [ 5 / 70 ] 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 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * * * * [misc]progress: [ 6 / 70 ] 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: [ 7 / 70 ] 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) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 8 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 10 / 70 ] 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: [ 11 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 2 1))) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 2 1))) * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 2 1))) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 2 1))) * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 2 1))) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 2 1))) * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 2 1) (/ 3 PI))) (cbrt (/ (+ 2 1) (/ 3 PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 2 1) (/ 3 PI))) (cbrt (/ (+ 2 1) (/ 3 PI)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (* (+ 2 1) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (* (+ 2 1) (/ PI 3)) 3) * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ PI (* (* PI 2) (* 2 2))) * [exit]simplify: Simplified to (+ PI (* (* PI 2) (* 2 2))) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* 2 (* 3 2))) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* 2 (* 3 2))) * * * * [misc]progress: [ 21 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (* PI (* 2 2)) PI) * [exit]simplify: Simplified to (- (* PI (* 2 2)) PI) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 22 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * [exit]simplify: Simplified to (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * * * [misc]progress: [ 24 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 2 1)) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 2 1)) * * * * [misc]progress: [ 25 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (+ 2 1) * [exit]simplify: Simplified to (+ 2 1) * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ PI (* PI 2)) * [exit]simplify: Simplified to (+ PI (* PI 2)) * * * * [misc]progress: [ 27 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 2 1)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 2 1)) (/ 3 PI)) * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 1)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 2 1)) (/ 3 PI)) * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 2 1) (/ 3 PI)) * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ PI (* PI 2)) * [exit]simplify: Simplified to (+ PI (* PI 2)) * * * * [misc]progress: [ 31 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * * * * [misc]progress: [ 32 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (log (/ (acos (/ g h)) 3)) * * * * [misc]progress: [ 36 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (exp (/ (acos (/ g h)) 3)) * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (acos (/ g h)) 3)) (cbrt (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (8 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 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (cbrt (/ (acos (/ g h)) 3)) * * * * [misc]progress: [ 38 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (acos (/ g h)) 3) (/ (acos (/ g h)) 3)) (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ (acos (/ g h)) 3) 3) * [exit]simplify: Simplified to (pow (/ (acos (/ g h)) 3) 3) * * * * [misc]progress: [ 39 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 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 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ g h)) 3)) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos (/ g h))) * * [misc]simplify: iters left: 5 (5 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) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 41 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI 3) 2) * [exit]simplify: Simplified to (/ (/ PI 3) 2) * [enter]simplify: Simplifying (/ (asin (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (asin (/ g h)) 3) * [exit]simplify: Simplified to (/ (asin (/ g h)) 3) * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 44 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ g h))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 3 (acos (/ g h))) * [exit]simplify: Simplified to (/ 3 (acos (/ g h))) * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (cbrt (acos (/ g h)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (/ g h)))) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (/ g h)))) * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (sqrt (acos (/ g h)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (/ g h)))) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (/ g h)))) * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ g h))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 3 (acos (/ g h))) * [exit]simplify: Simplified to (/ 3 (acos (/ g h))) * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (+ 2 1) (/ PI 3))) (cos (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [enter]simplify: Simplifying (* (sin (* (+ 2 1) (/ PI 3))) (sin (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (- (sin (* (+ 2 1) (/ PI 3))))) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (- (sin (* (+ 2 1) (/ PI 3))))) * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (+ 2 1) (/ PI 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ g h)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (- (+ 2 1) (/ 1 2)))) (cos (/ (asin (/ g h)) 3))) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (- (+ 2 1) (/ 1 2)))) (cos (/ (asin (/ g h)) 3))) * [enter]simplify: Simplifying (* (sin (- (* (+ 2 1) (/ PI 3)) (/ (/ PI 2) 3))) (sin (/ (asin (/ g h)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (sin (* (/ PI 3) (- (+ 2 1) (/ 1 2)))) (sin (/ (asin (/ g h)) 3))) * [exit]simplify: Simplified to (* (sin (* (/ PI 3) (- (+ 2 1) (/ 1 2)))) (sin (/ (asin (/ g h)) 3))) * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (+ 2 1) (/ PI 3))) (cos (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [enter]simplify: Simplifying (* (sin (* (+ 2 1) (/ PI 3))) (sin (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (- (sin (* (+ 2 1) (/ PI 3))))) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (- (sin (* (+ 2 1) (/ PI 3))))) * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (cos (* (/ PI 3) (+ 2 1))) (cos (/ (acos (/ g h)) 3))) * [enter]simplify: Simplifying (* (sin (* (+ 2 1) (/ PI 3))) (sin (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (sin (* (/ PI 3) (+ 2 1))) (sin (/ (acos (/ g h)) 3))) * [exit]simplify: Simplified to (* (sin (* (/ PI 3) (+ 2 1))) (sin (/ (acos (/ g h)) 3))) * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [exit]simplify: Simplified to (log (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [exit]simplify: Simplified to (exp (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) (cbrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) (cbrt (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3))))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) (cbrt (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3))))) * [enter]simplify: Simplifying (cbrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3))) (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3))) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3))) 3) * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [enter]simplify: Simplifying (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* 2 (cos (- (/ (+ 2 1) (/ 3 PI)) (/ (acos (/ g h)) 3)))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (+ 2 1) (/ 3 PI)) (* 1/3 (acos (/ g h))))) 2) * * * * [misc]progress: [ 66 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (+ 2 1) (/ 3 PI)) (* 1/3 (acos (/ g h))))) 2) * * * * [misc]progress: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- (* (+ 2 1) (/ PI 3)) (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (+ 2 1) (/ 3 PI)) (* 1/3 (acos (/ g h))))) 2) * * * * [misc]progress: [ 68 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- PI (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cos (* (acos (/ g h)) 1/3)) (- 2)) * * * * [misc]progress: [ 69 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- PI (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cos (* (acos (/ g h)) 1/3)) (- 2)) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (- PI (* 1/3 (acos (/ g h)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cos (* (acos (/ g h)) 1/3)) (- 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(g h) (* (cos (* (acos (/ g h)) 1/3)) (- 2)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (acos (/ g h)) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ g h)) 1/3) into (* 1/3 (acos (/ g h))) * [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 (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (* 0 1/3)) 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 (/ g h)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]approximate: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 h) (/ 1 g)))) into (* 1/3 (acos (/ g h))) * [misc]approximate: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [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 (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 (- h)) (/ 1 (- g))))) into (* 1/3 (acos (/ g h))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (* 1/3 (acos (/ g h)))) * [exit]simplify: Simplified to (log (* 1/3 (acos (/ g h)))) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (pow (exp 1/3) (acos (/ g h))) * [exit]simplify: Simplified to (pow (exp 1/3) (acos (/ g h))) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (acos (/ g h)) 1/3)) (cbrt (* (acos (/ g h)) 1/3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/3 (acos (/ g h)))) (cbrt (* 1/3 (acos (/ g h))))) * [exit]simplify: Simplified to (* (cbrt (* 1/3 (acos (/ g h)))) (cbrt (* 1/3 (acos (/ g h))))) * [enter]simplify: Simplifying (cbrt (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* 1/3 (acos (/ g h)))) * [exit]simplify: Simplified to (cbrt (* 1/3 (acos (/ g h)))) * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (acos (/ g h)) 1/3) (* (acos (/ g h)) 1/3)) (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* 1/3 (acos (/ g h))) 3) * [exit]simplify: Simplified to (pow (* 1/3 (acos (/ g h))) 3) * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (* 1/3 (acos (/ g h)))) * [exit]simplify: Simplified to (sqrt (* 1/3 (acos (/ g h)))) * [enter]simplify: Simplifying (sqrt (* (acos (/ g h)) 1/3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (* 1/3 (acos (/ g h)))) * [exit]simplify: Simplified to (sqrt (* 1/3 (acos (/ g h)))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (/ g h))) 1/3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* 1/3 (cbrt (acos (/ g h)))) * [exit]simplify: Simplified to (* 1/3 (cbrt (acos (/ g h)))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (acos (/ g h))) 1/3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* 1/3 (sqrt (acos (/ g h)))) * [exit]simplify: Simplified to (* 1/3 (sqrt (acos (/ g h)))) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (/ g h)) 1/3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (/ g h))) * [exit]simplify: Simplified to (* 1/3 (acos (/ g h))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/3 (acos (/ g h)))) (- 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (- 2) (cos (* (acos (/ g h)) 1/3))) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/3 (acos (/ g h)))) (- 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (- 2) (cos (* (acos (/ g h)) 1/3))) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/3 (acos (/ g h)))) (- 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (- 2) (cos (* (acos (/ g h)) 1/3))) * * * [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 (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sin (* (/ PI 3) (+ 2 1))) * [exit]simplify: Simplified to (sin (* (/ PI 3) (+ 2 1))) * [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)) * * * * [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 4069 additional inputs, on iter 1 have 3931 / 8000 * * * * [misc]points: Computing exacts on every 254 of 4069 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 127 of 4069 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 4069 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 4069 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 4069 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 4069 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 4069 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4069 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 2005 additional inputs, on iter 2 have 5995 / 8000 * * * * [misc]points: Computing exacts on every 125 of 2005 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 2005 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 2005 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 2005 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 2005 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 2005 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2005 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 1021 additional inputs, on iter 3 have 6979 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1021 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 1021 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 1021 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 1021 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 1021 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1021 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 525 additional inputs, on iter 4 have 7475 / 8000 * * * * [misc]points: Computing exacts on every 32 of 525 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 16 of 525 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 525 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 525 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 525 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 525 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 252 additional inputs, on iter 5 have 7748 / 8000 * * * * [misc]points: Computing exacts on every 15 of 252 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 252 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 252 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 252 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 134 additional inputs, on iter 6 have 7866 / 8000 * * * * [misc]points: Computing exacts on every 8 of 134 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 134 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 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 134 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 61 additional inputs, on iter 7 have 7939 / 8000 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 61 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 25 additional inputs, on iter 8 have 7975 / 8000 * * * * [misc]points: Computing exacts for 25 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 8 additional inputs, on iter 9 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs