* [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 38 additional inputs, on iter 1 have 218 / 256 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 38 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 2 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 3 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (/ PI a) (- a)) into (* -1 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (* -1 (/ PI (pow a 2))) -2) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ PI (pow b 2)) 2) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ PI (pow b 2)) 2) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (/ PI (pow b 2)) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (* 2 (/ 1 b)) 2)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* 0 (/ -1 b)))) into (/ PI (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (* 2 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 4)) 2) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (* 2 (/ 1 (pow b 2))) 2)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ (* 2 (/ 1 b)) 2)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 2 a) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -2 b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -2 b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* -1 PI) (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* 1/2 (* b PI)) (/ (- (* 2 (/ 1 (pow b 2)))) (/ -2 b))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 2)) -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (/ -2 b)) (+ (* (* 1/2 (* b PI)) (/ (- (* 2 (/ 1 (pow b 3)))) (/ -2 b))) (* (- (* 1/2 PI)) (/ (- (* 2 (/ 1 (pow b 2)))) (/ -2 b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 PI) -1) into PI * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ 2 (- a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1 PI) 1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 2 b) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1 PI) 1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 2 b) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (/ PI b) 1) (+ (* (* -1 PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 2 b) (/ -1 b)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* -1/2 (* b PI)) (/ (* 2 (/ 1 (pow b 2))) (/ 2 b))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) 1) (+ (* (* -1 PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 2 b) (/ 0 b)) (* (* 2 (/ 1 (pow b 2))) (/ -1 b)))) into (* 2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (/ 2 b)) (+ (* (* -1/2 (* b PI)) (/ (* 2 (/ 1 (pow b 3))) (/ 2 b))) (* (* 1/2 PI) (/ (* 2 (/ 1 (pow b 2))) (/ 2 b))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 2 -1) into -2 * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (* 2 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 2 a) into (/ 2 a) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ -2 b) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ 2 (- a)) into (/ -2 a) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 2 b) into (/ 2 b) * [misc]taylor: Taking taylor expansion of (/ 2 (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 2 b) into (/ 2 b) * [misc]taylor: Taking taylor expansion of (/ 2 b) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 2 b) (/ -1 b)))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 2 b) (/ 0 b)) (* (* 2 (/ 1 (pow b 2))) (/ -1 b)))) into (* 2 (/ 1 (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (/ PI a) (- a)) into (* -1 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (/ PI (pow b 2)) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* 0 (/ -1 b)))) into (/ PI (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* -1 PI) (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 2)) -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 PI) -1) into PI * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1 PI) 1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1 PI) 1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (/ PI b) 1) (+ (* (* -1 PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) 1) (+ (* (* -1 PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI (+ a b))) (log (- b a))) (log (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI (+ a b))) (log (- b a))) (log (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (/ PI (+ a b))) (log (- b a))) (log (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 3 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ PI (+ a b)) (- b a))) (log (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (- (log (/ PI (* (+ a b) (- b a)))) (log (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ PI (* (+ a b) (- b a)))) (log (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 4 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* (/ 2 (- (/ 1 a) (/ 1 b))) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ PI (+ a b)) (- b a)) 3) (/ (/ (* (* 2 2) 2) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (pow (/ (/ PI (+ a b)) (- b a)) 3) (/ (/ (* (* 2 2) 2) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 7 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ PI (+ a b)) (- b a)) (/ (/ PI (+ a b)) (- b a))) (/ (/ PI (+ a b)) (- b a))) (* (* (/ 2 (- (/ 1 a) (/ 1 b))) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI (+ a b)) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b)))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (/ PI (+ a b)) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b)))) 3))) * * * * [misc]progress: [ 8 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 13 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (+ a b)) (- b a))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (/ PI (+ a b)) (- b a))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 14 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (- b a)) (+ a b))) (cbrt (/ (/ PI (- b a)) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (/ PI (- b a)) (+ a b))) (cbrt (/ (/ PI (- b a)) (+ a b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (/ PI (- b a)) (+ a b))) (cbrt (/ (/ PI (- b a)) (+ a b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 15 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ PI (- b a)) (+ a b))) 2) (cbrt (/ (/ PI (- b a)) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (/ PI (- b a)) (+ a b))) 2) (cbrt (/ (/ PI (- b a)) (+ a b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (* (+ a b) (- b a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (* (+ a b) (- b a))))))) * * * * [misc]progress: [ 16 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (- b a)) (+ a b))) (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (/ 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (/ PI (- b a)) (+ a b))) (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (/ 2 (- b a)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (/ PI (- b a)) (+ a b))) (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (/ 2 (- b a)))) (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (* b a)))) * * * * [misc]progress: [ 17 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (cbrt (/ (/ PI (- b a)) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (/ PI (- b a)) (+ a b))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (cbrt (/ (/ PI (- b a)) (+ a b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (* (+ a b) (- b a)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (cbrt (/ PI (* (+ a b) (- b a)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 18 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ PI (* (+ a b) (- b a))))) (/ 2 (- (/ (/ 1 a) a) (/ (/ 1 b) b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ PI (* (+ a b) (- b a))))) (/ 2 (- (/ (/ 1 a) a) (/ (/ 1 b) b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ PI (* (+ a b) (- b a))))) (/ 2 (- (/ (/ 1 a) a) (/ (/ 1 b) b)))) (/ (cbrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 19 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (/ PI (* (+ a b) (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 20 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (* (+ a b) (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 21 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI (- b a)) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (/ PI (- b a)) (+ a b))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (/ PI (- b a)) (+ a b))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 22 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI (- b a)) (+ a b))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (/ PI (- b a)) (+ a b))) 2) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (* (+ a b) (- b a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) 2) (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (* (+ a b) (- b a))))))) * * * * [misc]progress: [ 23 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (- b a) (+ a b)))) (/ 2 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (* (- b a) (+ a b)))) (/ 2 (- b a))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI (- b a)) (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (* (- b a) (+ a b)))) (/ 2 (- b a))) (/ (sqrt (/ (/ PI (- b a)) (+ a b))) (* b a)))) * * * * [misc]progress: [ 24 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (* (+ a b) (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (sqrt (/ PI (* (+ a b) (- b a)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 25 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (* (+ a b) (- b a)))) (/ 2 (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (* (+ a b) (- b a)))) (/ 2 (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (sqrt (/ (/ PI (+ a b)) (- b a))) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 26 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 27 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 28 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 29 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) 2) (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) 2) (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 30 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- b a)) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- b a)) (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* (* b a) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- b a)) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (* (* b a) (cbrt (- b a)))))) * * * * [misc]progress: [ 31 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))))) * * * * [misc]progress: [ 32 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))))) * * * * [misc]progress: [ 33 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 34 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (sqrt (- b a))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 35 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 36 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) 2) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (cbrt (/ PI (+ a b))) 2) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) 2) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 37 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ (cbrt (/ PI (+ a b))) (/ 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ (cbrt (/ PI (+ a b))) (/ 2 (- b a)))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* (* b a) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (/ (cbrt (/ PI (+ a b))) (/ 2 (- b a)))) (/ (cbrt (/ PI (+ a b))) (* (* b a) (sqrt (- b a)))))) * * * * [misc]progress: [ 38 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (* (sqrt (- b a)) 2) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (* (sqrt (- b a)) 2) (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))))) * * * * [misc]progress: [ 39 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (+ (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))))) * * * * [misc]progress: [ 40 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 41 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 42 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 43 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ 2 (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ PI (+ a b))) (/ 2 (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ PI (+ a b))) (/ 2 (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 44 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (* (/ (- b a) 2) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- b a) 2) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* (- b a) (* b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) 2) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (* (- b a) (* b a))))) * * * * [misc]progress: [ 45 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (cbrt (/ PI (+ a b)))) (/ 2 (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (cbrt (/ PI (+ a b)))) (/ 2 (cbrt (/ PI (+ a b))))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 46 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ 2 (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ 2 (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b)))) (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI (+ a b))) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (+ (/ (- b a) a) (/ (- b a) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ 2 (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b)))) (/ (cbrt (/ PI (+ a b))) (+ (/ (- b a) a) (/ (- b a) b))))) * * * * [misc]progress: [ 47 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 48 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 49 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 50 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (* (cbrt (- b a)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (* (cbrt (- b a)) 2)) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 51 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) 2) (/ (- b a) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (+ a b))) 2) (/ (- b a) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (* b a) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (+ a b))) 2) (/ (- b a) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (/ PI (+ a b))) (* (* b a) (cbrt (- b a)))))) * * * * [misc]progress: [ 52 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))))) * * * * [misc]progress: [ 53 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) 2) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) 2) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (sqrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))))) * * * * [misc]progress: [ 54 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 55 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 56 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 57 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* 2 (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (* 2 (sqrt (- b a)))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) 2) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 58 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (/ (- b a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (/ (- b a) 2))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (* b a) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (/ (- b a) 2))) (/ (sqrt (/ PI (+ a b))) (* (* b a) (sqrt (- b a)))))) * * * * [misc]progress: [ 59 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (sqrt (/ PI (+ a b))) (* 2 (sqrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (sqrt (/ PI (+ a b))) (* 2 (sqrt (- b a))))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (/ (/ 1 b) b))))) * * * * [misc]progress: [ 60 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (/ 1 a) a) (/ (/ 1 b) b)) (sqrt (/ PI (+ a b)))) (* 2 (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (- (/ (/ 1 a) a) (/ (/ 1 b) b)) (sqrt (/ PI (+ a b)))) (* 2 (sqrt (- b a)))) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (- (/ (/ 1 a) a) (/ (/ 1 b) b)) (sqrt (/ PI (+ a b)))) (* 2 (sqrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))))) * * * * [misc]progress: [ 61 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 62 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 63 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI (+ a b))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 64 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) 2) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) 2) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 65 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ 2 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (/ 2 (- b a))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (- b a) (* b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (+ a b))) (/ 2 (- b a))) (/ (sqrt (/ PI (+ a b))) (* (- b a) (* b a))))) * * * * [misc]progress: [ 66 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) 2) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (+ a b))) 2) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (+ a b))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 67 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (+ a b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI (+ a b))) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (+ (/ (- b a) a) (/ (- b a) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (+ a b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (+ a b))) (+ (/ (- b a) a) (/ (- b a) b))))) * * * * [misc]progress: [ 68 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 69 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 70 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ PI (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ PI (cbrt (- b a)))))) * * * * [misc]progress: [ 71 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 2) (cbrt (- b a))) (cbrt (- b a))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 72 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- b a) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI b) (+ a b)) (cbrt (- b a))) a) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- b a) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (/ PI b) (+ a b)) (cbrt (- b a))) a))) * * * * [misc]progress: [ 73 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 74 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (+ (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (+ (/ 1 a) (/ 1 b)))) (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* (+ a b) (+ (/ 1 b) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (+ (/ 1 a) (/ 1 b)))) (/ (/ PI (cbrt (- b a))) (* (+ a b) (+ (/ 1 b) (/ 1 a)))))) * * * * [misc]progress: [ 75 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 76 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 77 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ PI (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ PI (sqrt (- b a)))))) * * * * [misc]progress: [ 78 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 2) (sqrt (- b a))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 79 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- b a) 2) (sqrt (- b a))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI b) (+ a b)) (sqrt (- b a))) a) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- b a) 2) (sqrt (- b a))) (/ (/ (/ (/ PI b) (+ a b)) (sqrt (- b a))) a))) * * * * [misc]progress: [ 80 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* 2 (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* 2 (sqrt (- b a)))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 81 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (+ (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (+ (/ 1 a) (/ 1 b)))) (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (+ a b) (+ (/ 1 b) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (+ (/ 1 a) (/ 1 b)))) (/ (/ PI (sqrt (- b a))) (* (+ a b) (+ (/ 1 b) (/ 1 a)))))) * * * * [misc]progress: [ 82 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (- b a)) (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 83 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (- b a)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 84 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (* (/ PI (* (+ a b) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (* (/ PI (* (+ a b) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 85 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 86 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- b a) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) 2) (/ (/ (/ PI (+ a b)) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) (+ a b)) (* b (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- b a) 2) (/ (/ (/ PI a) (+ a b)) (* b (- b a))))) * * * * [misc]progress: [ 87 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) (pow a 3)) (/ (/ 1 2) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ (/ 1 2) (pow a 3)) (/ (/ 1 2) (pow b 3))) (/ (/ (/ PI (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (* (+ (/ 1 b) (/ 1 a)) (* (/ 1 b) (- b a))) (* (* (- b a) (/ 1 a)) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ (/ 1 2) (pow a 3)) (/ (/ 1 2) (pow b 3))) (/ (/ PI (+ a b)) (+ (* (+ (/ 1 b) (/ 1 a)) (* (/ 1 b) (- b a))) (* (* (- b a) (/ 1 a)) (/ 1 a)))))) * * * * [misc]progress: [ 88 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* 2 a)) (/ (/ 1 2) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ (/ 1 a) (* 2 a)) (/ (/ 1 2) (* b b))) (/ (/ (/ PI (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (/ (- b a) a) (/ (- b a) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ (/ 1 a) (* 2 a)) (/ (/ 1 2) (* b b))) (/ (/ PI (+ a b)) (+ (/ (- b a) a) (/ (- b a) b))))) * * * * [misc]progress: [ 89 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (* (cbrt (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (* (cbrt (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 90 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 91 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (* 2 (+ a b)))))) * * * * [misc]progress: [ 92 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 93 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (/ (* (/ (- b a) 2) PI) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (- b a) 2) PI) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (* (+ a b) a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ (- b a) 2) PI) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ 1 b) (* (+ a b) a)) (cbrt (- b a))))) * * * * [misc]progress: [ 94 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI 2)) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ 1 (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ 1 (* a a)))))) * * * * [misc]progress: [ 95 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (/ (* (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (* (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 96 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 97 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 98 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (- b a))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (- b a)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (- b a)) (* 2 (+ a b)))))) * * * * [misc]progress: [ 99 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI 2) (sqrt (- b a))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) 2) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 100 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (- b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (sqrt (- b a))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (* (+ a b) a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (sqrt (- b a))) (/ (/ (/ 1 b) (* (+ a b) a)) (sqrt (- b a))))) * * * * [misc]progress: [ 101 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (sqrt (- b a))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI 2) (sqrt (- b a))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ 1 (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ 1 (* a a)))))) * * * * [misc]progress: [ 102 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (+ (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI 2) (+ (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 103 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ 1 (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ a b) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (* (+ a b) (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 104 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ 1 (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ a b) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (* (+ a b) (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 105 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (* PI (/ (/ (/ 1 (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* PI (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) 2))) * * * * [misc]progress: [ 106 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI 2) (/ (/ (/ 1 (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 107 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ PI 2) (- b a)) (/ (/ (/ 1 (+ a b)) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (+ a b)) (* (- b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI 2) (- b a)) (/ (/ (/ 1 b) (+ a b)) (* (- b a) a)))) * * * * [misc]progress: [ 108 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) (/ (/ (/ 1 (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ a b) (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) (/ (/ 1 (* (+ a b) (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))))) * * * * [misc]progress: [ 109 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ PI 2)) (/ (/ (/ 1 (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (+ (/ (- b a) b) (/ (- b a) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ PI 2)) (/ (/ 1 (+ a b)) (+ (/ (- b a) b) (/ (- b a) a))))) * * * * [misc]progress: [ 110 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (* (cbrt (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (* (cbrt (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (+ (/ (* (- b a) b) (cbrt (- b a))) (/ (* a a) (cbrt (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ (/ (* (- b a) b) (cbrt (- b a))) (/ (* a a) (cbrt (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 111 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (+ (/ (* (- b a) b) (cbrt (- b a))) (/ (* a a) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ (/ (* (- b a) b) (cbrt (- b a))) (/ (* a a) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 112 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (/ (+ (* a a) (* (- b a) b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (+ (* a a) (* (- b a) b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 113 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (* (- (* b b) (* (- b a) a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (* b b) (* (- b a) a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 114 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (/ (* PI (- b a)) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (* PI (- b a)) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (- (/ b a) (/ (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* PI (- b a)) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (/ (- (/ b a) (/ (- b a) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 115 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI (* 2 (+ (pow a 3) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI (* 2 (+ (pow a 3) (pow b 3))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b b) (* (- b a) a)) (cbrt (- b a))) (+ (* (+ (/ 1 b) (/ 1 a)) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- (* b b) (* (- b a) a)) (cbrt (- b a))) (+ (* (+ (/ 1 b) (/ 1 a)) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 116 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (cbrt (- b a)) 2)) (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (cbrt (- b a)) 2)) (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (- b a)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (+ (* (- a b) a) (* b b)) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (+ (* (- a b) a) (* b b)) (* (+ (/ 1 b) (/ 1 a)) (cbrt (- b a)))))) * * * * [misc]progress: [ 117 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (+ (/ (* (- b a) b) (sqrt (- b a))) (/ (* a a) (sqrt (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ (/ (* (- b a) b) (sqrt (- b a))) (/ (* a a) (sqrt (- b a)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 118 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (+ (/ (* (- b a) b) (sqrt (- b a))) (/ (* a a) (sqrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ (/ (* (- b a) b) (sqrt (- b a))) (/ (* a a) (sqrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 119 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (/ (+ (* a a) (* (- b a) b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (* (/ (+ (* a a) (* (- b a) b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 120 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (* (* 2 b) (* b b)) (* (* a a) (* 2 a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (+ (* (* 2 b) (* b b)) (* (* a a) (* 2 a)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (* (- (* b b) (* (- b a) a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) 2) (* (- (* b b) (* (- b a) a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 121 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (- b a)) (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (- (/ b a) (/ (- b a) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (/ (- (/ b a) (/ (- b a) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 122 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* 2 (sqrt (- b a)))) (/ PI (+ (pow a 3) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* 2 (sqrt (- b a)))) (/ PI (+ (pow a 3) (pow b 3)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b b) (* (- b a) a)) (sqrt (- b a))) (+ (* (+ (/ 1 b) (/ 1 a)) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- (* b b) (* (- b a) a)) (sqrt (- b a))) (+ (* (+ (/ 1 b) (/ 1 a)) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 123 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (/ 2 (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (/ 2 (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (+ (* (- a b) a) (* b b)) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (+ (* (- a b) a) (* b b)) (* (+ (/ 1 b) (/ 1 a)) (sqrt (- b a)))))) * * * * [misc]progress: [ 124 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (- (/ (* b b) (- b a)) a) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (- (/ (* b b) (- b a)) a) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 125 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (- (/ (* b b) (- b a)) a) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (- (/ (* b b) (- b a)) a) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 126 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 127 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) 2) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ (pow a 3) (pow b 3))) 2) (/ (+ (* a a) (* (- b a) b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 128 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (- b a)) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (+ (pow a 3) (pow b 3))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (/ (/ b a) (- b a)) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ PI 2) (- b a)) (+ (pow a 3) (pow b 3))) (- (/ (/ b a) (- b a)) (/ 1 b)))) * * * * [misc]progress: [ 129 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI 2) (+ (pow a 3) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI 2) (+ (pow a 3) (pow b 3)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b b) (* (- b a) a)) (- b a)) (+ (/ (/ 1 a) a) (/ (+ (/ 1 a) (/ 1 b)) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- (* b b) (* (- b a) a)) (- b a)) (+ (/ (/ 1 a) a) (/ (+ (/ 1 a) (/ 1 b)) b))))) * * * * [misc]progress: [ 130 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (+ (/ (- b a) b) (/ (- b a) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) (/ (- (* b b) (* (- b a) a)) (+ (/ (- b a) b) (/ (- b a) a))))) * * * * [misc]progress: [ 131 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (cbrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 132 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (cbrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 133 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- a b) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (* 2 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (* 2 (cbrt (- b a)))))) * * * * [misc]progress: [ 134 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (* (- a b) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (* (- a b) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- a b) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 135 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- b a))) (/ (/ (- a b) (cbrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (* a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- b a))) (/ (/ (- a b) (* a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 136 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (/ (/ (- a b) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (cbrt (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- a b) (cbrt (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 137 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (* 2 (- a b))) (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (+ a b)) (* 2 (- a b))) (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- b a))))) (/ (/ (- a b) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (- a b) (cbrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (+ (/ 1 a) (/ 1 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ (- a b) (+ (/ 1 a) (/ 1 b))) (cbrt (- b a))))) * * * * [misc]progress: [ 138 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (sqrt (- b a))) (- (* a a) (* b b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (sqrt (- b a))) (- (* a a) (* b b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (sqrt (- b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 139 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (- a b)) (sqrt (- b a))) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI (- a b)) (sqrt (- b a))) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (sqrt (- b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 140 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- a b)) (* (+ a b) (sqrt (- b a)))) (/ (/ (- a b) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (* 2 (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- a b)) (* (+ a b) (sqrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (* 2 (sqrt (- b a)))))) * * * * [misc]progress: [ 141 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (* 2 (- a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (* 2 (- a b))) (/ (/ (- a b) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) 2) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 142 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (/ (/ PI (/ 2 (- b a))) (* (sqrt (- b a)) (* (+ a b) (- a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (/ 2 (- b a))) (* (sqrt (- b a)) (* (+ a b) (- a b)))) (/ (/ (- a b) (sqrt (- b a))) (* a b)))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (* a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (/ 2 (- b a))) (* (sqrt (- b a)) (* (+ a b) (- a b)))) (/ (/ (- a b) (* a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 143 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (* (sqrt (- b a)) 2) (/ (/ PI (+ a b)) (- a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (* (sqrt (- b a)) 2) (/ (/ PI (+ a b)) (- a b)))) (/ (/ (- a b) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (sqrt (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- a b) (sqrt (- b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 144 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (* (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI (+ a b)) (* 2 (- a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI (+ a b)) (* 2 (- a b))) (sqrt (- b a)))) (/ (/ (- a b) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (- a b) (sqrt (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (+ (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ (- a b) (+ (/ 1 a) (/ 1 b))) (sqrt (- b a))))) * * * * [misc]progress: [ 145 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (- a b) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 146 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (- a b) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 147 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (- a b)) (/ (/ (- a b) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (- a b)) (/ (- (/ (- a b) a) (/ (- a b) b)) (* (- b a) 2)))) * * * * [misc]progress: [ 148 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) 2) (/ (/ (- a b) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ (- a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- a b)) (+ a b)) 2) (* (- (/ 1 a) (/ 1 b)) (/ (- a b) (- b a))))) * * * * [misc]progress: [ 149 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (/ PI 2)) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (- b a) (/ PI 2)) (* (- a b) (+ a b))) (/ (/ (- a b) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) b) (* (- b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (- b a) (/ PI 2)) (* (- a b) (+ a b))) (/ (/ (- a b) b) (* (- b a) a)))) * * * * [misc]progress: [ 150 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (* (- a b) 2)) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (+ a b)) (* (- a b) 2)) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (/ (/ (- a b) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (- b a)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (- (* a a) (* b b))) 1) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ (- a b) (- b a)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a))))) * * * * [misc]progress: [ 151 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (- (* a a) (* b b))) 1) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (- a b) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (- a b) (+ a b)))) (/ (/ (- a b) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (- a b) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (/ (/ (- a b) (- b a)) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (- a b) (+ a b)))) (/ (/ (- a b) (- b a)) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 152 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ (/ PI (- b a)) (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 153 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ (/ PI (- b a)) (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 154 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (* (/ PI (* (+ a b) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (* (/ PI (* (+ a b) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 155 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 156 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 (- (* 1 b) (* a 1)))) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (- b a) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) 2) (/ (/ (/ PI (+ a b)) (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) (+ a b)) (* b (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- b a) 2) (/ (/ (/ PI a) (+ a b)) (* b (- b a))))) * * * * [misc]progress: [ 157 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) (pow a 3)) (/ (/ 1 2) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ (/ 1 2) (pow a 3)) (/ (/ 1 2) (pow b 3))) (/ (/ (/ PI (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (* (+ (/ 1 b) (/ 1 a)) (* (/ 1 b) (- b a))) (* (* (- b a) (/ 1 a)) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ PI (+ a b)) (+ (* (+ (/ 1 b) (/ 1 a)) (* (/ 1 b) (- b a))) (* (* (- b a) (/ 1 a)) (/ 1 a)))))) * * * * [misc]progress: [ 158 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) (* a a)) (/ (/ 1 b) (* b 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ (/ 1 2) (* a a)) (/ (/ 1 b) (* b 2))) (/ (/ (/ PI (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (/ (- b a) a) (/ (- b a) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ (/ 1 2) (* a a)) (/ (/ 1 b) (* b 2))) (/ (/ PI (+ a b)) (+ (/ (- b a) a) (/ (- b a) b))))) * * * * [misc]progress: [ 159 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (- b a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 160 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 161 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (/ 1 (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 162 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI 2) (+ a b)) (/ (/ 1 (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 163 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (+ a b)) (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- b a) (+ a b)) (/ PI 2)) (/ (/ 1 (- b a)) (* a b)))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (+ a b)) (/ PI 2)) (/ (/ (/ 1 a) b) (- b a)))) * * * * [misc]progress: [ 164 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI 2) (+ a b))) (/ (/ 1 (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ 1 (- b a)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 165 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI 2) (+ a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (/ 1 (- b a)) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ 1 (- b a)) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 166 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (+ (* b (+ b a)) (* a a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ (* b (+ b a)) (* a a)) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 167 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (+ (* b (+ b a)) (* a a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ (* b (+ b a)) (* a a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 168 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* b (+ b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ (+ (* a a) (* b (+ b a))) (/ 2 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 169 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (* (+ b a) b) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) 2) (* (- (/ 1 a) (/ 1 b)) (+ (* (+ b a) b) (* a a))))) * * * * [misc]progress: [ 170 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (* (/ (- b a) 2) (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- b a) 2) (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (* a b)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (+ b a) b)) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) 2) (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3)))) (/ (+ (* a a) (* (+ b a) b)) (* b a)))) * * * * [misc]progress: [ 171 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (* 2 (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI (* 2 (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (- (pow b 3) (pow a 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* b (+ b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (/ (/ 1 b) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (+ (* a a) (* b (+ b a))) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (/ (/ 1 b) b))))) * * * * [misc]progress: [ 172 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (* (* (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ (+ (/ 1 a) (/ 1 b)) 2)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ (+ (/ 1 a) (/ 1 b)) 2)) (- (/ 1 a) (/ 1 b))) (/ (+ (* b b) (+ (* a a) (* b a))) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* b (+ b a))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (+ (* a a) (* b (+ b a))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 173 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (* (- b a) (+ a b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (* (- b a) (+ a b))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ b a) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (/ (+ a b) (cbrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 174 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ b a) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (/ (+ a b) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 175 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (* (- b a) (+ a b))) (/ (+ b a) (/ 2 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (- (/ (+ a b) (* 2 a)) (/ (+ a b) (* 2 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) (* (- b a) (+ a b))) (- (/ (+ a b) (* 2 a)) (/ (+ a b) (* 2 b))))) * * * * [misc]progress: [ 176 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- (* b b) (* a a))) (/ (+ b a) (/ 1 (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (- (/ (+ a b) a) (/ (+ a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) 2) (- (/ (+ a b) a) (/ (+ a b) b)))) * * * * [misc]progress: [ 177 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ 2 (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (+ a b)) (* (/ 2 (- b a)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (+ a b)) (* (/ 2 (- b a)) (- b a))) (/ (+ b a) (* a b)))) * [enter]simplify: Simplifying (/ (+ b a) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (+ a b) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (+ a b)) (* (/ 2 (- b a)) (- b a))) (/ (+ a b) (* b a)))) * * * * [misc]progress: [ 178 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (/ (* (- (* b b) (* a a)) 2) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (/ (* (- (* b b) (* a a)) 2) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))))) (/ (+ b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 a) (/ 1 b)) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (+ a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 a) (/ 1 b)) (/ 1 b)))))) * * * * [misc]progress: [ 179 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (/ 2 (+ (/ 1 b) (/ 1 a)))) (/ (* (- b a) (+ a b)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (/ 2 (+ (/ 1 b) (/ 1 a)))) (/ (* (- b a) (+ a b)) (- (/ 1 a) (/ 1 b)))) (/ (+ b a) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (+ b a) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (+ a b) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 180 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 183 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) (* (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) (cbrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 184 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) (sqrt (/ 2 (- (/ 1 a) (/ 1 b))))) (sqrt (/ 2 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 185 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) 1) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 186 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) 2) (/ 1 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 187 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (* 1 b) (* a 1)))) (* a b))) * * * * [misc]progress: [ 188 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))))) * * * * [misc]progress: [ 189 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- b a)) (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 190 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI (+ a b)) (- b a))) (cbrt (/ (/ PI (+ a b)) (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (- b a)) (+ a b))) (cbrt (/ (/ PI (- b a)) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (/ PI (- b a)) (+ a b))) (cbrt (/ (/ PI (- b a)) (+ a b)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (cbrt (/ (/ PI (+ a b)) (- b a)))))) * * * * [misc]progress: [ 191 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* (+ a b) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ PI (* (+ a b) (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (sqrt (/ (/ PI (+ a b)) (- b a)))))) * * * * [misc]progress: [ 192 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 193 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ PI (+ a b)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 194 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (- b a))))) * * * * [misc]progress: [ 195 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 196 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 197 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ PI (+ a b))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (- b a))))) * * * * [misc]progress: [ 198 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 199 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (- b a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 200 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (- b a))))) * * * * [misc]progress: [ 201 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [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 (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ 1 (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 202 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (sqrt (- b a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ 1 (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 203 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (/ PI (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (/ 1 (+ a b)) (- b a))))) * * * * [misc]progress: [ 204 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 205 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 206 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (+ (* a a) (- (* b b) (* a b))) (- b a))))) * * * * [misc]progress: [ 207 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (- a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 208 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ a b)) (* (- a b) (sqrt (- b a)))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (- a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 209 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ a b)) (- a b)) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ (- a b) (- b a))))) * * * * [misc]progress: [ 210 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 211 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (+ a b)) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 212 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (+ (* b b) (+ (* a a) (* b a)))))) * * * * [misc]progress: [ 213 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ a b)) (- (* b b) (* a a))) (/ (/ 2 (- (/ 1 a) (/ 1 b))) (+ b a)))) * * * * [misc]progress: [ 214 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ a b)) (- b a)) 2) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 215 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (+ a b)) (* (/ 2 (- (/ 1 a) (/ 1 b))) (- b a)))) * * * * [misc]progress: [ 216 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 219 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 220 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 221 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 227 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (/ (/ PI (sqrt (+ a b))) (sqrt (+ b a))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 228 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (/ (/ PI 1) (+ b a)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 229 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (* (/ PI (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 230 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (* (/ PI (- (* a a) (* b b))) (- a b)) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 231 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 233 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 234 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 235 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 236 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 237 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 238 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 239 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 240 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 241 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 242 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 243 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 1) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 244 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 245 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 1) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 246 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 1) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 247 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 1) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 248 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (/ (/ 2 1) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 249 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (* (/ 2 (- (* 1 b) (* a 1))) (* a b)))) * * * * [misc]progress: [ 250 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (* (/ 2 (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 251 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) (* (/ 2 (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 252 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (log (/ PI (+ a b))) (log (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (/ PI (+ a b))) (log (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 254 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI (+ a b)) (- b a)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (/ PI (+ a b)) (- b a)) 3)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 257 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 260 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 261 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 262 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (- b a))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 263 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 264 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 265 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 266 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 267 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ PI (+ a b)) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI (+ a b)) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 268 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 269 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (/ (/ PI (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (/ PI (- b a)) (+ a b))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 270 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [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 (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 271 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 272 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* PI (/ (/ 1 (+ a b)) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI (/ (/ 1 (- b a)) (+ a b))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 273 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 274 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 275 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [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 (51 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (/ b 1) (/ (* a a) (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (+ (pow a 3) (pow b 3))) (+ (/ b 1) (/ (* a a) (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 276 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 277 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (+ a b)) (* (- a b) (sqrt (- b a)))) (/ (- a b) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a)))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 278 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (+ a b)) (- a b)) (/ (- a b) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (+ a b)) (- a b)) (/ (- a b) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 279 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 280 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 281 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 282 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 283 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (sqrt (- b a))) (sqrt (- b a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 284 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) 1) (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 285 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (cbrt (/ PI (+ a b))))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 286 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (/ PI (+ a b))) (/ (- b a) (sqrt (/ PI (+ a b))))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 287 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 288 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 289 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (+ (* a a) (- (* b b) (* a b))))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 290 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (/ PI (+ a b)) (- a b)) (/ (- b a) (- a b))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 291 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (+ a b)) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a))) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 292 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI (+ a b)) (- (* b b) (* a a))) (+ a b)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 293 / 305 ] simplifiying candidate # * * * * [misc]progress: [ 294 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 295 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 296 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 297 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ 0 (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 298 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ 0 (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 299 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ 0 (- b a)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 300 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) 0)) * * * * [misc]progress: [ 301 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) 0)) * * * * [misc]progress: [ 302 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (+ a b)) (- b a)) 0)) * * * * [misc]progress: [ 303 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 304 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 305 / 305 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ 2 (- (/ 1 a) (/ 1 b))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 2) into (* -2 a) * [misc]backup-simplify: Simplify (/ -1 (* -2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 2)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- b) -2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- b) -2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 -2) (+ (* (* 1/2 b) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 b) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 b) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* (* 1/2 b) (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 b) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 b) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* a b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 2) into (* -2 a) * [misc]backup-simplify: Simplify (/ -1 (* -2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1/2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 2)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (* (- (/ PI (pow b 2))) (/ 1/2 b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (+ (* (- (/ PI (pow b 2))) 0) (* (/ PI (pow b 3)) (/ 1/2 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- b) -2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- b) -2) into (* 1/2 b) * [misc]backup-simplify: Simplify (* PI (* 1/2 b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 -2) (+ (* (* 1/2 b) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* (- (/ PI b)) (* 1/2 b))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 b) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* (- (/ PI b)) 0) (* (/ PI (pow b 2)) (* 1/2 b)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/2 b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* (* 1/2 b) (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* (/ PI b) (* 1/2 b))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 b) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* (/ PI b) 0) (* (- (/ PI (pow b 2))) (* 1/2 b)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ PI (sqrt (+ a b))) (sqrt (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ PI 1) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI (- (* a a) (* b b))) (- a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (exp (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) 2)))))) * * * * [misc]progress: [ 18 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (- b a) 2) (* (- b a) 2)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) 3)))) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) a) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (- (/ (/ (/ 1 2) (- b a)) a) (/ (/ 1 b) (* (- b a) 2))))) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)))) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))))) * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ 1 (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (- b a) 2) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (* (- b a) 2) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (* (- b a) 2) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) (* (- (pow b 3) (pow a 3)) 2)) (+ (* b b) (* (+ b a) a))))) * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ PI (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) (* (- (* b b) (* a a)) 2)) (+ a b)))) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- b a) (* (* (- b a) 2) (* a b))))) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (* (- b a) 2) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (* (- b a) 2) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) 1)) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ PI (+ a b))) (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (- (+ (log (/ PI (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (* (- b a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (+ (log (/ PI (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (* (- b a) 2))))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ PI (+ a b))) (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (+ (log (/ PI (+ a b))) (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ PI (+ a b))) (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))))) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (- b a) 2) (* (- b a) 2)) (* (- b a) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (pow (/ PI (+ a b)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (pow (/ PI (+ a b)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))))))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) (pow (/ PI (+ a b)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) (pow (/ PI (+ a b)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* (- b a) 2)))) * [enter]simplify: Simplifying (* (+ a b) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (* (- b a) 2)))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ 1 (- b a))) (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2))) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ 1 (- b a))) (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ 1 (- b a))) (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ 1 (- b a))) (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ 1 (- b a))) (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) 1) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))))) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- b a) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (/ (/ 1 (- b a)) 2))) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- (pow b 3) (pow a 3)) 2))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- (* b b) (* a a)) 2))) (+ a b))) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (/ PI (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))))) * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI (+ a b))) (* (sqrt (/ PI (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) (- a b)) (* (- a b) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))))) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- b a) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (- b a) 2))) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ a b))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ PI (+ a b)) (/ (log (exp (- (/ 1 a) (/ 1 b)))) (* (- b a) 2)))) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ PI (+ a b)) (/ (/ (- b a) (* a b)) (* (- b a) 2)))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (/ (- b a) (* a b)) (* (- b a) 2)))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ PI (+ a b)) (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (- b a) 2)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (- b a) 2)))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (- b a) 2)))) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (- b a) 2)))) * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (- b a) 2)))) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ PI (+ a b)) (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (- b a) 2)))) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* a (/ (/ 1 a) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* a (/ 0 -1)) (* 0 (/ (/ 1 a) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* a (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 a) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* a b)) into (* a b) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ -1 (- b)) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) a) (+ (* (/ 1 a) (/ -1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ -1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ -1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (* a b) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (- a)) (+ (* (/ 1 a) (/ 1 (- a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ 1 a) (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ 1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* a b) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (/ PI (pow b 2)) (/ 0 b)))) into (- (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* (- (/ PI (pow b 3))) (/ 0 b)))) into (/ PI (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ -1 (- b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ -1 (- b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ 1 b) (- b)) (+ (* (/ 1 b) (/ 1 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into (- PI) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ 1 b) (/ 0 (- b))) (* 0 (/ 1 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 2)) (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* (- PI) (/ 0 (/ 1 b))))) into (/ PI b) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 b)) into (* -1 (* b PI)) * [misc]backup-simplify: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 b))))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 (* -1 (* b PI)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (/ 1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 b))) (* PI (/ 0 (/ 1 b))))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 PI) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (/ PI (pow b 2)) (/ 0 b)))) into (- (/ PI (pow b 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* (- (/ PI (pow b 3))) (/ 0 b)))) into (/ PI (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ -1 (- b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ -1 (- b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ 1 b) (- b)) (+ (* (/ 1 b) (/ 1 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ 1 b) (/ 0 (- b))) (* 0 (/ 1 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 2)) (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* (- PI) (/ 0 (/ 1 b))))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 b))))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (/ 1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 b))) (* PI (/ 0 (/ 1 b))))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 12 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (sqrt (+ a b))) (sqrt (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 13 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI 1) (+ b a)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 14 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 2) (/ (* (/ PI (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 15 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 2) (/ (* (/ PI (- (* a a) (* b b))) (- a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 16 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- b a)) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (log (- b a)) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (exp (- (log (- b a)) (log (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 18 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- b a) (- b a)) (- b a)) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (cbrt (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3))))) * * * * [misc]progress: [ 21 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ b (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (- (/ b (- (/ 1 a) (/ 1 b))) (/ a (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 26 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 27 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 28 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 29 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * * * * [misc]progress: [ 30 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 31 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 32 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 33 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 34 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 35 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 36 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 37 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (sqrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * * * * [misc]progress: [ 38 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 39 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 40 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 41 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (sqrt (- b a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 42 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (/ 1 (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 43 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 44 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 45 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * * * * [misc]progress: [ 46 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 47 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 48 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 49 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* 1 (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 50 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 54 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 55 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) 1) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 56 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 57 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) 1) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 58 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) 1) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 59 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) 1) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 60 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (/ (- b a) 1) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 61 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 62 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))))) * * * * [misc]progress: [ 63 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (- b a) (- (* 1 b) (* a 1))) (* a b))))) * * * * [misc]progress: [ 65 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))))))) * * * * [misc]progress: [ 66 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 67 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (pow b 3) (pow a 3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- (pow b 3) (pow a 3)) (* (- (/ 1 a) (/ 1 b)) (+ (* b b) (+ (* a a) (* b a)))))))) * * * * [misc]progress: [ 68 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [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 (32 enodes) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (/ (* (+ b a) (- b a)) (* (- (/ 1 a) (/ 1 b)) (+ b a)))))) * * * * [misc]progress: [ 69 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (* (+ b a) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (* (+ b a) (- b a)))) 1)) * * * * [misc]progress: [ 70 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 2)) (- (log (/ PI (+ a b))) (- (log (- b a)) (log (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (+ a b))) (+ (log (- b a)) (log 2))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (+ a b))) (+ (log (- b a)) (log 2))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 72 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 2)) (- (log (/ PI (+ a b))) (log (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI (+ a b))) (log 2)) (log (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (/ PI (+ a b))) (log 2)) (log (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 73 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 2)) (log (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (+ (log (/ PI (* (- b a) (+ a b)))) (- (log (- (/ 1 a) (/ 1 b))) (log 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ PI (* (- b a) (+ a b)))) (- (log (- (/ 1 a) (/ 1 b))) (log 2))))) * * * * [misc]progress: [ 74 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ (* (* (- b a) (- b a)) (- b a)) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (/ (* (* (/ PI (+ b a)) (/ PI (+ b a))) (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a)))) (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (* (/ PI (+ b a)) (/ PI (+ b a))) (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a)))) (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3)))) * * * * [misc]progress: [ 77 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a))) (* (/ PI (+ b a)) (/ PI (+ b a)))) (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a))) (* (/ PI (+ b a)) (/ PI (+ b a)))) (pow (/ (- b a) (- (/ 1 a) (/ 1 b))) 3)))) * * * * [misc]progress: [ 78 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)) (* (/ (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)) (* (/ (* (/ (/ 1 2) (* 2 2)) (/ PI (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)))))) * * * * [misc]progress: [ 79 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (+ b a)) (* 2 (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (* 2 (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ PI (+ b a)) (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 83 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (* (cbrt (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 85 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (sqrt (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (sqrt (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 86 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 87 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 88 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 89 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 90 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 91 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 92 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 93 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 94 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 95 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 96 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 97 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 98 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 99 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 100 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 101 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 102 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 103 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 104 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 105 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 106 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 107 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 108 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 109 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 110 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 111 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 112 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1)) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 113 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (- b a))) (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 114 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (* 1 b) (* a 1))))) (/ (cbrt (/ PI (+ a b))) (* b a)))) * * * * [misc]progress: [ 115 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (cbrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))))) * * * * [misc]progress: [ 116 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 117 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 118 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 119 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 120 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 121 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 122 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 123 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 124 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 125 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 126 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 127 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 128 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 129 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 130 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 131 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 132 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 133 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 134 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 135 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 136 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 137 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 1))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 138 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 139 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 1))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 140 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 1))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 141 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 1))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 142 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ 1 1))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 143 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) 1)) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 144 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (- b a))) (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (+ a b)))))) * * * * [misc]progress: [ 145 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (* 1 b) (* a 1))))) (/ (sqrt (/ PI (+ a b))) (* b a)))) * * * * [misc]progress: [ 146 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (sqrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))))) * * * * [misc]progress: [ 147 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 148 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 149 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 150 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 151 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 152 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 153 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 154 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 155 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 156 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 157 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 158 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 159 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 160 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 161 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 162 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 163 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 164 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 165 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (sqrt (- b a)) 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 166 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))))) * * * * [misc]progress: [ 167 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))))) * * * * [misc]progress: [ 168 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 169 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ PI (* (+ a b) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ PI (* (+ a b) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 170 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 171 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 172 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 173 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ 1 1))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 174 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 175 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) (+ a b)))) * * * * [misc]progress: [ 176 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (+ a b)) a) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (- b a) (- (* 1 b) (* a 1))))) (/ (/ (/ PI b) (+ a b)) a))) * * * * [misc]progress: [ 177 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (/ PI (+ a b)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a))))) * * * * [misc]progress: [ 178 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ 1 (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (/ PI (+ a b)) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 179 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 180 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 181 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 182 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 183 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 184 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 185 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 186 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 187 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 188 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 189 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 190 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 191 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 192 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 193 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 194 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 195 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 196 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (sqrt (- b a)) 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 197 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 198 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 199 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 200 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 201 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 202 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 203 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 204 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ 1 1))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 205 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI 1)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 206 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ a b)))) * * * * [misc]progress: [ 207 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (- b a) (- (* 1 b) (* a 1))))) (/ (/ (/ 1 a) b) (+ a b)))) * * * * [misc]progress: [ 208 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 209 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 210 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (- (* b b) (* (- b a) a)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 211 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (- (* b b) (* (- b a) a)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 212 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))))) * * * * [misc]progress: [ 213 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))))) * * * * [misc]progress: [ 214 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 215 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (cbrt (- b a))))) * * * * [misc]progress: [ 216 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 217 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 218 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 219 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 220 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))))) * * * * [misc]progress: [ 221 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))))) * * * * [misc]progress: [ 222 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 223 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (sqrt (- b a))))) * * * * [misc]progress: [ 224 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 225 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 226 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 227 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 228 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))))) * * * * [misc]progress: [ 229 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))))) * * * * [misc]progress: [ 230 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 231 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 232 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 233 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 234 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 235 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 236 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) 1)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))))) * * * * [misc]progress: [ 237 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (* a a) (* (- b a) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (- b a))) (* (- (/ 1 a) (/ 1 b)) (+ (* a a) (* (- b a) b))))) * * * * [misc]progress: [ 238 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (- (/ b a) (/ (- b a) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (* 1 b) (* a 1))))) (- (/ b a) (/ (- b a) b)))) * * * * [misc]progress: [ 239 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (- (* a a) (* b (- a b))) (+ (/ (/ 1 b) b) (/ (+ (/ 1 b) (/ 1 a)) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (- (* a a) (* b (- a b))) (+ (/ (/ 1 b) b) (/ (+ (/ 1 b) (/ 1 a)) a))))) * * * * [misc]progress: [ 240 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* a (- b a))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (- (* b b) (* a (- b a))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 241 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 242 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 243 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))))) * * * * [misc]progress: [ 244 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))))) * * * * [misc]progress: [ 245 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 246 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (- a b) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 247 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 248 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 249 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 250 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 251 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))))) * * * * [misc]progress: [ 252 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))))) * * * * [misc]progress: [ 253 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 254 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (- a b) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 255 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 256 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 257 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 258 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 259 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))))) * * * * [misc]progress: [ 260 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))))) * * * * [misc]progress: [ 261 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 1))) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 262 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (* (/ (- a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 263 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 1))) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 264 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 1))) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 265 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 1))) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 266 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ 1 1))) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 267 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) 1)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 268 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * [exit]simplify: Simplified to (- (/ (- a b) a) (/ (- a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (- b a))) (- (/ (- a b) a) (/ (- a b) b)))) * * * * [misc]progress: [ 269 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (- a b) (* a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (* 1 b) (* a 1))))) (/ (- a b) (* a b)))) * * * * [misc]progress: [ 270 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 b) (/ 1 a)) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))))) (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 b) (/ 1 a)) (/ 1 b)))))) * * * * [misc]progress: [ 271 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- a b) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) (/ (- a b) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 272 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) 1) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 273 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ PI (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 274 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 2) (/ (/ PI (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 275 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (/ 1 2)) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 276 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ 1 2)) (* (sqrt (/ 1 2)) (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 277 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 278 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 279 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ 1 2) (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 280 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) 2)) * * * * [misc]progress: [ 281 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 282 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (+ a b))) (- (log (- b a)) (log (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (+ a b))) (log (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (exp (+ (- (log (/ PI (+ a b))) (log (- b a))) (log (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 284 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (+ a b))) (log (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (- (log (/ PI (+ a b))) (log (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (exp (- (log (/ PI (+ a b))) (log (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 285 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 286 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 287 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ (* (* (- b a) (- b a)) (- b a)) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (/ (* (/ PI (+ a b)) (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI (+ a b)) (* (- b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (cbrt (* (/ (* (/ PI (+ a b)) (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI (+ a b)) (* (- b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 288 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (pow (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (- b a)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (cbrt (pow (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (- b a)) 3)))) * * * * [misc]progress: [ 289 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 290 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 291 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 292 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 293 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 294 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 295 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))))) * * * * [misc]progress: [ 296 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))))))) * * * * [misc]progress: [ 297 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 298 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 299 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 300 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 301 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 302 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 303 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b))))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b))))) (sqrt (- b a))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))))))) * * * * [misc]progress: [ 304 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))))))) * * * * [misc]progress: [ 305 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 306 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (cbrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 307 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 308 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 309 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 310 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (/ (cbrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (cbrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 311 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (+ a b))) (cbrt (- (/ 1 a) (/ 1 b))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 312 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ PI (+ a b))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 313 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 314 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [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 (69 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (* (cbrt (/ PI (+ a b))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (* (cbrt (/ PI (+ a b))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (* (cbrt (/ PI (+ a b))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) (* (/ (cbrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 315 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 316 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 317 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 318 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 319 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 320 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (- b a)) (/ (cbrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (- b a)) (* (- (/ 1 a) (/ 1 b)) (cbrt (/ PI (+ a b))))))) * * * * [misc]progress: [ 321 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (* a b))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (cbrt (/ PI (+ a b))) (* b a))))) * * * * [misc]progress: [ 322 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (cbrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a))))))) * * * * [misc]progress: [ 323 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (+ a b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (- b a) (cbrt (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (- b a) (cbrt (/ PI (+ a b))))) (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (cbrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 324 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (/ PI (+ a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 325 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (+ a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 326 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))))))) * * * * [misc]progress: [ 327 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))))))) * * * * [misc]progress: [ 328 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 329 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ PI (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 330 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 331 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 332 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 333 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 334 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))))))) * * * * [misc]progress: [ 335 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))))))) * * * * [misc]progress: [ 336 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 337 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 338 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 339 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 340 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 341 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (sqrt (- b a))) (/ (sqrt (/ PI (+ a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 342 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (/ PI (+ a b)))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (/ PI (+ a b)))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 343 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ a b)))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ a b)))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 344 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 345 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ PI (+ a b)))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ PI (+ a b)))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 346 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 347 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 348 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 349 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 350 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 351 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (/ (sqrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (+ a b))))))) * * * * [misc]progress: [ 352 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (* a b))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (* b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (/ PI (+ a b))) (/ (sqrt (/ PI (+ a b))) (* b a))))) * * * * [misc]progress: [ 353 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ PI (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (sqrt (/ PI (+ a b))) (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b)))) (- b a)) (/ (sqrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (sqrt (/ PI (+ a b))) (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a))))))) * * * * [misc]progress: [ 354 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) a) (/ 1 (* b b))) (/ (sqrt (/ PI (+ a b))) (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (- (/ (/ 1 a) a) (/ 1 (* b b))) (/ (sqrt (/ PI (+ a b))) (- b a))) (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (- (/ (/ 1 a) a) (/ 1 (* b b))) (/ (sqrt (/ PI (+ a b))) (- b a))) (/ (sqrt (/ PI (+ a b))) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 355 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (/ PI (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 356 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 357 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 358 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 359 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 360 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 361 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 362 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 363 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 364 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ 1 (cbrt (- b a))) (/ 1 (cbrt (- b a)))) (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 365 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a))))))) * * * * [misc]progress: [ 366 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a))))))) * * * * [misc]progress: [ 367 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 368 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a))))))) * * * * [misc]progress: [ 369 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 370 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 371 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 372 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 373 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ PI (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a)))))) * * * * [misc]progress: [ 374 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (+ a b) PI) (- b a)))))) * * * * [misc]progress: [ 375 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 376 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ (/ PI (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ PI (* (+ a b) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (/ PI (* (+ a b) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 377 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 378 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 379 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 380 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 381 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 382 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ 1 (- b a)) (/ (/ PI (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ a b))))) * * * * [misc]progress: [ 383 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ PI (+ a b)) (* a b))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (+ a b)) a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* 1 (/ (/ (/ PI b) (+ a b)) a)))) * * * * [misc]progress: [ 384 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (- b a)) (/ (/ PI (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ 1 (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ PI (+ a b)) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)))))) * * * * [misc]progress: [ 385 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- b a)) (/ (/ PI (+ a b)) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- b a)) (/ (/ PI (+ a b)) (+ (/ 1 b) (/ 1 a)))))) * * * * [misc]progress: [ 386 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (+ a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 387 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 388 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ PI (cbrt (- b a))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ PI (cbrt (- b a))) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 389 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (cbrt (- b a)) PI) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ (cbrt (- b a)) PI) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 390 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 391 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (/ (cbrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (/ (cbrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 392 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 393 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 394 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 395 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (cbrt (- b a))))))) * * * * [misc]progress: [ 396 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) PI)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (sqrt (- b a)) PI)) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 397 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (/ PI (sqrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (sqrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 398 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 399 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ PI (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ PI (sqrt (- b a)))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 400 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 401 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 402 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 403 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (sqrt (- b a))))))) * * * * [misc]progress: [ 404 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* PI (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* PI (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* PI (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 405 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) PI) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (sqrt (- (/ 1 a) (/ 1 b))) PI) (/ (/ 1 (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (sqrt (- (/ 1 a) (/ 1 b))) PI) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 406 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 407 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (* PI (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* PI (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (/ 1 (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* PI (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 408 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 409 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 410 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 411 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 412 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 413 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (- b a)) (/ (/ 1 (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ a b))))) * * * * [misc]progress: [ 414 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* PI (/ (/ 1 (+ a b)) (* a b))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) b) (+ a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* PI (/ (/ (/ 1 a) b) (+ a b))))) * * * * [misc]progress: [ 415 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) (* a a)) (/ (/ PI b) (* b b))) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (- (/ (/ PI a) (* a a)) (/ (/ PI b) (* b b))) (- b a)) (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (/ 1 (+ a b)) (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (/ 1 b))))))) * * * * [misc]progress: [ 416 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (- b a)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (/ 1 (+ a b)) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 417 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (- (* b b) (* (- b a) a)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 418 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (- (* b b) (* (- b a) a)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 419 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b)))))) * * * * [misc]progress: [ 420 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (* (cbrt (- b a)) (+ (pow a 3) (pow b 3))) (/ PI (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (* (cbrt (- b a)) (+ (pow a 3) (pow b 3))) (/ PI (cbrt (- b a))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ (* (- a b) a) (* b b)))))) * * * * [misc]progress: [ 421 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 422 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ PI (+ (pow a 3) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ PI (+ (pow a 3) (pow b 3))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (cbrt (- b a)))))) * * * * [misc]progress: [ 423 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 424 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 425 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 426 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (* b b) (* (- b a) a)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 427 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (* (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (* (sqrt (- b a)) (+ (pow a 3) (pow b 3)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b)))))) * * * * [misc]progress: [ 428 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ (pow a 3) (pow b 3))) (/ PI (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ (pow a 3) (pow b 3))) (/ PI (sqrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ (* (- a b) a) (* b b)))))) * * * * [misc]progress: [ 429 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 430 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (* b b) (* (- b a) a))) (sqrt (- b a)))))) * * * * [misc]progress: [ 431 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 432 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 433 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 434 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (+ (pow a 3) (pow b 3))) (/ (- (* b b) (* (- b a) a)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 435 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI (+ (pow a 3) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI (+ (pow a 3) (pow b 3))))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI (+ (pow a 3) (pow b 3))))) (* (cbrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a))))))) * * * * [misc]progress: [ 436 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (* (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- (/ 1 a) (/ 1 b)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ PI (+ (pow a 3) (pow b 3))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (- (/ 1 a) (/ 1 b))) (+ (/ b 1) (/ (* a a) (- b a))))))) * * * * [misc]progress: [ 437 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 438 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (/ PI (+ (pow a 3) (pow b 3))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (+ (pow a 3) (pow b 3))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ PI (+ (pow a 3) (pow b 3))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 439 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 440 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 441 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 442 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 443 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* b b) (* a (- a b))))))) * * * * [misc]progress: [ 444 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- b a)) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (* a a) (* (- b a) b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (- b a)) (* (- (/ 1 a) (/ 1 b)) (+ (* a a) (* (- b a) b)))))) * * * * [misc]progress: [ 445 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (* a b))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (- (/ b a) (/ (- b a) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ PI (+ (pow a 3) (pow b 3))) (- (/ b a) (/ (- b a) b))))) * * * * [misc]progress: [ 446 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI (- b a)) (+ (pow a 3) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI (- b a)) (+ (pow a 3) (pow b 3)))) (/ (+ (* a a) (- (* b b) (* a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (- (* a a) (* b (- a b))) (+ (/ (/ 1 b) b) (/ (+ (/ 1 b) (/ 1 a)) a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (- (* a a) (* b (- a b))) (+ (/ (/ 1 b) b) (/ (+ (/ 1 b) (/ 1 a)) a)))))) * * * * [misc]progress: [ 447 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (+ (/ 1 b) (/ 1 a))) (/ (+ (pow a 3) (pow b 3)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (/ PI (- b a)) (+ (/ 1 b) (/ 1 a))) (/ (+ (pow a 3) (pow b 3)) (- (/ 1 a) (/ 1 b)))) (/ (+ (* a a) (- (* b b) (* a b))) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* a (- b a))) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (- (* b b) (* a (- b a))) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 448 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) (- a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ (/ PI (+ a b)) (- a b)) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (/ (- a b) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 449 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ a b)) (- a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (+ a b)) (- a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (/ (- a b) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 450 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (/ (/ PI (+ a b)) (- a b)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- a b) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b)))))) * * * * [misc]progress: [ 451 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (- a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (/ PI (+ a b)) (- a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- a b) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- b a)) (- a b)))))) * * * * [misc]progress: [ 452 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 453 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (- a b)) (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (/ PI (+ a b)) (- a b)) (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- a b) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (- a b) (cbrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 454 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 455 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 456 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 457 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI (- a b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (- a b) a) (/ (- a b) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 458 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) PI) (/ (* (sqrt (- b a)) (* (+ a b) (- a b))) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) PI) (/ (* (sqrt (- b a)) (* (+ a b) (- a b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (- a b) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b)))))) * * * * [misc]progress: [ 459 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (* (/ PI (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (- a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ PI (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (- a b)))) (/ (- a b) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (sqrt (- b a)) (- a b)))))) * * * * [misc]progress: [ 460 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 461 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (/ (* (+ a b) (- a b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (/ (* (+ a b) (- a b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))))) (/ (- a b) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (* (/ (- a b) (sqrt (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 462 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 463 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 464 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 465 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (sqrt (- b a)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (sqrt (- b a))) (* (- a b) (+ a b))) (/ (- (/ (- a b) a) (/ (- a b) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 466 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (* PI (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (- a b) (+ a b)) (cbrt (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* PI (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (- a b) (+ a b)) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (- a b) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (* PI (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (- a b) (+ a b)) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b)))))) * * * * [misc]progress: [ 467 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- a b) (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- a b) (/ PI (+ a b)))) (/ (- a b) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- a b) (/ PI (+ a b)))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (- b a) (- a b)))))) * * * * [misc]progress: [ 468 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 469 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (- a b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (/ (/ PI (+ a b)) (- a b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (/ (- a b) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (* (/ (/ PI (+ a b)) (- a b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (* (/ (- a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 470 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 471 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 472 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 473 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ PI (- a b)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- a b)) (+ a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 474 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ a b)) (- a b)) (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ a b)) (- a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 475 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- b a)) (- (* a a) (* b b))) (/ (- a b) (/ 1 (- (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (/ (- a b) (/ 1 (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * [exit]simplify: Simplified to (- (/ (- a b) a) (/ (- a b) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (- b a)) (- (/ (- a b) a) (/ (- a b) b))))) * * * * [misc]progress: [ 476 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (* 1 b) (* a 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 1) (+ a b)) (- a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI 1) (+ a b)) (- a b)) (/ (- a b) (* a b))))) * [enter]simplify: Simplifying (/ (- a b) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (- a b) (* a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ (/ PI 1) (+ a b)) (- a b)) (/ (- a b) (* a b))))) * * * * [misc]progress: [ 477 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI (- b a)) (* (- a b) (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ PI (- b a)) (* (- a b) (+ a b)))) (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * [enter]simplify: Simplifying (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 b) (/ 1 a)) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (/ (- a b) (+ (* (/ 1 a) (/ 1 a)) (* (+ (/ 1 b) (/ 1 a)) (/ 1 b))))))) * * * * [misc]progress: [ 478 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (+ (/ 1 a) (/ 1 b))) (/ (- (* a a) (* b b)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (* (/ (* (/ PI (- b a)) (+ (/ 1 a) (/ 1 b))) (/ (- (* a a) (* b b)) (- (/ 1 a) (/ 1 b)))) (/ (- a b) (+ (/ 1 a) (/ 1 b)))))) * [enter]simplify: Simplifying (/ (- a b) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- a b) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (- (* a a) (* b b))) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (/ (- a b) (+ (/ 1 b) (/ 1 a)))))) * * * * [misc]progress: [ 479 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 480 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 481 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 482 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (* (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b)))))) (cbrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 483 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))) (sqrt (/ (- b a) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 484 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 485 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 486 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 487 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (cbrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 488 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 489 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 490 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 491 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (* (cbrt (- b a)) (cbrt (- b a))) 1)) (/ (cbrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 492 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 493 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (sqrt (- b a)) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 494 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) 1)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 495 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (sqrt (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 496 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) 1)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 497 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) 1)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 498 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) 1)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 499 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (sqrt (- b a)) 1)) (/ (sqrt (- b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 500 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 501 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 (sqrt (- (/ 1 a) (/ 1 b))))) (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 502 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 1)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 503 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))))) * * * * [misc]progress: [ 504 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 1)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 505 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 1)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 506 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 1)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 507 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ 1 1)) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 508 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) 1) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 509 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (- b a)) (/ 1 (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 510 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (- b a) (- (* 1 b) (* a 1)))) (* a b)))) * * * * [misc]progress: [ 511 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (- b a) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b)))))) * * * * [misc]progress: [ 512 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (/ (- b a) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 513 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (/ (/ (- b a) (- (/ 1 a) (/ 1 b))) (cbrt (/ PI (+ a b))))))) * * * * [misc]progress: [ 514 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ a b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ (sqrt (/ PI (+ a b))) (/ (/ (- b a) (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ a b))))))) * * * * [misc]progress: [ 515 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 516 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 517 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ PI (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ (pow a 3) (pow b 3))) (/ (/ (- b a) (- (/ 1 a) (/ 1 b))) (+ (* a a) (- (* b b) (* a b))))))) * * * * [misc]progress: [ 518 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ (/ (/ PI (+ a b)) (- a b)) (/ (/ (- b a) (- (/ 1 a) (/ 1 b))) (- a b))))) * * * * [misc]progress: [ 519 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (* (/ (/ PI (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 520 / 532 ] simplifiying candidate # * * * * [misc]progress: [ 521 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ 0 (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 522 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ 0 (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 523 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 2) (/ 0 (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 524 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* a b)))) * * * * [misc]progress: [ 525 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* a b)))) * * * * [misc]progress: [ 526 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 2) (/ (/ PI (+ a b)) (* a b)))) * * * * [misc]progress: [ 527 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 528 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 529 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 530 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 2) 0)) * * * * [misc]progress: [ 531 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 2) 0)) * * * * [misc]progress: [ 532 / 532 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 2) 0)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (cbrt (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]backup-simplify: Simplify (/ (/ PI a) (pow (- a) 1/3)) into (* (pow (/ 1 (* (pow a 4) -1)) 1/3) PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (cbrt (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]backup-simplify: Simplify (/ (/ PI b) (pow b 1/3)) into (* (pow (/ 1 (pow b 4)) 1/3) PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (cbrt (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]backup-simplify: Simplify (/ (/ PI b) (pow b 1/3)) into (* (pow (/ 1 (pow b 4)) 1/3) PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* (pow (/ 1 (pow b 4)) 1/3) PI)) into (* (pow (/ 1 (pow b 4)) 1/3) PI) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow b 4)) 1/3) PI) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 4)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) 0) into (- (* 4 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log b)))) into (* -4/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log b))) into (pow b -4/3) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow b 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log b))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow b 2)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (pow b 1/3)) (+ (* (* (pow (/ 1 (pow b 4)) 1/3) PI) (/ (* -1/3 (pow (/ 1 (pow b 2)) 1/3)) (pow b 1/3))))) into (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI)))) (* (- (/ 1 b)) (* (pow (/ 1 (pow b 4)) 1/3) PI))) into (- (* 5/3 (* PI (pow (/ 1 (pow b 7)) 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 5/3 (* PI (pow (/ 1 (pow b 7)) 1/3)))) in b * [misc]taylor: Taking taylor expansion of (* 5/3 (* PI (pow (/ 1 (pow b 7)) 1/3))) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 (pow b 7)) 1/3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 7)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 7))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 7)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 7))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 7)) in b * [misc]taylor: Taking taylor expansion of (pow b 7) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log b)) 0) into (- (* 7 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 7 (log b)))) into (* -7/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -7/3 (log b))) into (pow b -7/3) * [misc]backup-simplify: Simplify (* (pow b -4/3) PI) into (* PI (pow (/ 1 (pow b 4)) 1/3)) * [misc]backup-simplify: Simplify (* PI (pow (/ 1 (pow b 4)) 1/3)) into (* (pow (/ 1 (pow b 4)) 1/3) PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log b)))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow b 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (pow b 1/3)) (+ (* (* (pow (/ 1 (pow b 4)) 1/3) PI) (/ (* -1/9 (pow (/ 1 (pow b 5)) 1/3)) (pow b 1/3))) (* (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) (/ (* -1/3 (pow (/ 1 (pow b 2)) 1/3)) (pow b 1/3))))) into (+ (* 7/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (* 7/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)))) (+ (* (- (/ 1 b)) (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI)))) (* 0 (* (pow (/ 1 (pow b 4)) 1/3) PI)))) into (+ (* 13/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) * [misc]taylor: Taking taylor expansion of (+ (* 13/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) in b * [misc]taylor: Taking taylor expansion of (* 13/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) in b * [misc]taylor: Taking taylor expansion of 13/9 in b * [misc]backup-simplify: Simplify 13/9 into 13/9 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 (pow b 10)) 1/3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 10)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 10))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 10) (log b)) 0) into (- (* 10 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 10 (log b)))) into (* -10/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -10/3 (log b))) into (pow b -10/3) * [misc]taylor: Taking taylor expansion of (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)) in b * [misc]taylor: Taking taylor expansion of 1/9 in b * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow b 10)) 1/3) PI) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 10)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 10))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 10) (log b)) 0) into (- (* 10 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 10 (log b)))) into (* -10/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -10/3 (log b))) into (pow b -10/3) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* PI (pow b -7/3)) into (* (pow (/ 1 (pow b 7)) 1/3) PI) * [misc]backup-simplify: Simplify (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI)) into (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI)) * [misc]backup-simplify: Simplify (- (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) into (- (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) * [misc]backup-simplify: Simplify (- (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) into (- (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) 0) into (- (* 4 (log b))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b -4/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log b))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (pow (/ 1 (pow b 8)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 4))) (pow b 1/3)) (+ (* (* (pow (/ 1 (pow b 4)) 1/3) PI) (/ (* -5/81 (pow (/ 1 (pow b 8)) 1/3)) (pow b 1/3))) (* (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) (/ (* -1/9 (pow (/ 1 (pow b 5)) 1/3)) (pow b 1/3))) (* (+ (* 7/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) (/ (* -1/3 (pow (/ 1 (pow b 2)) 1/3)) (pow b 1/3))))) into (- (* 5/27 (* PI (pow (/ 1 (pow b 13)) 1/3))) (* 73/81 (* (pow (/ 1 (pow b 13)) 1/3) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 5/27 (* PI (pow (/ 1 (pow b 13)) 1/3))) (* 73/81 (* (pow (/ 1 (pow b 13)) 1/3) PI)))) (+ (* (- (/ 1 b)) (+ (* 7/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 1/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)))) (+ (* 0 (- (* 2/3 (* (pow (/ 1 (pow b 7)) 1/3) PI)))) (* 0 (* (pow (/ 1 (pow b 4)) 1/3) PI))))) into (- (+ (* 82/81 (* (pow (/ 1 (pow b 13)) 1/3) PI)) (* 16/27 (* PI (pow (/ 1 (pow b 13)) 1/3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 82/81 (* (pow (/ 1 (pow b 13)) 1/3) PI)) (* 16/27 (* PI (pow (/ 1 (pow b 13)) 1/3))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 82/81 (* (pow (/ 1 (pow b 13)) 1/3) PI)) (* 16/27 (* PI (pow (/ 1 (pow b 13)) 1/3)))) in b * [misc]taylor: Taking taylor expansion of (* 82/81 (* (pow (/ 1 (pow b 13)) 1/3) PI)) in b * [misc]taylor: Taking taylor expansion of 82/81 in b * [misc]backup-simplify: Simplify 82/81 into 82/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow b 13)) 1/3) PI) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 13)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 13))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 13)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 13))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 13)) in b * [misc]taylor: Taking taylor expansion of (pow b 13) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 13) (log b)) 0) into (- (* 13 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 13 (log b)))) into (* -13/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -13/3 (log b))) into (pow b -13/3) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 16/27 (* PI (pow (/ 1 (pow b 13)) 1/3))) in b * [misc]taylor: Taking taylor expansion of 16/27 in b * [misc]backup-simplify: Simplify 16/27 into 16/27 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 (pow b 13)) 1/3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow b 13)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow b 13))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow b 13)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow b 13))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 13)) in b * [misc]taylor: Taking taylor expansion of (pow b 13) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 13) (log b)) 0) into (- (* 13 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 13 (log b)))) into (* -13/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -13/3 (log b))) into (pow b -13/3) * [misc]backup-simplify: Simplify (* PI (pow b -10/3)) into (* (pow (/ 1 (pow b 10)) 1/3) PI) * [misc]backup-simplify: Simplify (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)) into (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)) * [misc]backup-simplify: Simplify (* (pow b -10/3) PI) into (* PI (pow (/ 1 (pow b 10)) 1/3)) * [misc]backup-simplify: Simplify (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) into (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) * [misc]backup-simplify: Simplify (+ (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI)) (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3)))) into (+ (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) * [misc]backup-simplify: Simplify (+ (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) into (+ (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/9 (* PI (pow (/ 1 (pow b 10)) 1/3))) (* 13/9 (* (pow (/ 1 (pow b 10)) 1/3) PI))) (* 1 a)) (+ (- (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) (* (* (pow (/ 1 (pow b 4)) 1/3) PI) (* 1 (/ 1 a))))) into (- (+ (* (/ PI a) (pow (/ 1 (pow b 4)) 1/3)) (* 14/9 (* (* a PI) (pow (/ 1 (pow b 10)) 1/3)))) (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]backup-simplify: Simplify (/ PI (pow b -1/3)) into (* (pow b 1/3) PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (/ PI (exp (* 1/3 (- (log -1) (log a)))))) into (* -1 (/ (* PI b) (exp (* 1/3 (- (log -1) (log a)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* PI b) (exp (* 1/3 (- (log -1) (log a)))))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* PI b) (exp (* 1/3 (- (log -1) (log a))))) in b * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log a)) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log a))) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]backup-simplify: Simplify (* -1 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) into (* -1 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) * [misc]backup-simplify: Simplify (* -1 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) into (* -1 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 b)) 1)) (pow -1 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (- (log -1) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log a)))) b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log a)))) b)) (exp (* 1/3 (- (log -1) (log a)))))))) into (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a))))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a)))))))) (* 1 (/ PI (exp (* 1/3 (- (log -1) (log a))))))) into (* 5/3 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) * [misc]taylor: Taking taylor expansion of (* 5/3 (/ PI (exp (* 1/3 (- (log -1) (log a)))))) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (/ PI (exp (* 1/3 (- (log -1) (log a))))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log a)) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log a))) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 b)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log -1) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))) * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 2)) (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))) (exp (* 1/3 (- (log -1) (log a)))))) (* (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a))))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log a)))) b)) (exp (* 1/3 (- (log -1) (log a)))))))) into (- (/ PI (* (pow b 2) (exp (* 1/3 (- (log -1) (log a)))))) (* 1/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- b) (- (/ PI (* (pow b 2) (exp (* 1/3 (- (log -1) (log a)))))) (* 1/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2)))))) (+ (* 1 (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a)))))))) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a)))))))) into (- (* 14/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b)))) * [misc]taylor: Taking taylor expansion of (- (* 14/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b)))) in b * [misc]taylor: Taking taylor expansion of (* 14/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) in b * [misc]taylor: Taking taylor expansion of 14/9 in b * [misc]backup-simplify: Simplify 14/9 into 14/9 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log -1) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log a)) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log a))) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 1) (* 0 0)) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/9 0) (+ (* 0 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 b)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 b)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log -1) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log a)))) (pow b 3))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 3))) (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ (* -5/81 (/ (exp (* 1/3 (- (log -1) (log a)))) (pow b 3))) (exp (* 1/3 (- (log -1) (log a)))))) (* (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a))))))) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))) (exp (* 1/3 (- (log -1) (log a)))))) (* (- (/ PI (* (pow b 2) (exp (* 1/3 (- (log -1) (log a)))))) (* 1/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log a)))) b)) (exp (* 1/3 (- (log -1) (log a)))))))) into (- (* 23/81 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 3)))) (/ PI (* (pow b 3) (exp (* 1/3 (- (log -1) (log a))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 23/81 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 3)))) (/ PI (* (pow b 3) (exp (* 1/3 (- (log -1) (log a)))))))) (+ (* 1 (- (/ PI (* (pow b 2) (exp (* 1/3 (- (log -1) (log a)))))) (* 1/9 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2)))))) (+ (* 0 (- (* 1/3 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) b))) (/ PI (* b (exp (* 1/3 (- (log -1) (log a)))))))) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a))))))))) into (* 130/81 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2)))) * [misc]taylor: Taking taylor expansion of (* 130/81 (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 130/81 in b * [misc]backup-simplify: Simplify 130/81 into 130/81 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log -1) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log a)) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log a))) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) 1) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]backup-simplify: Simplify (/ PI (exp (* 1/3 (- (log -1) (log a))))) into (/ PI (exp (* 1/3 (- (log -1) (log a))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log a)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log a))))) (+ (* (/ PI (exp (* 1/3 (- (log -1) (log a))))) (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))) (* 0 (/ 0 (exp (* 1/3 (- (log -1) (log a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 130/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI (exp (* 1/3 (- (log -1) (log a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ PI (exp (* 1/3 (- (log -1) (log (/ 1 a))))))) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a (* (exp (* 1/3 (- (log -1) (log (/ 1 a))))) b)))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (* -1 PI) (exp (* 1/3 (- (log -1) (log b))))) into (* -1 (/ PI (exp (* 1/3 (- (log -1) (log b)))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]backup-simplify: Simplify (/ (* -1 PI) (pow a -1/3)) into (* -1 (* (pow a 1/3) PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (cbrt (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]backup-simplify: Simplify (/ (* -1 PI) (pow a -1/3)) into (* -1 (* (pow a 1/3) PI)) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* -1 (* (pow a 1/3) PI))) into (* -1 (* (pow a 1/3) (* PI b))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow a 1/3) (* PI b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow a 1/3) (* PI b)) in b * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) PI) (* 0 0)) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (* (pow a 1/3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (pow a 1/3) PI)) (* 0 0)) into (- (* (pow a 1/3) PI)) * [misc]backup-simplify: Simplify (- (* (pow a 1/3) PI)) into (- (* (pow a 1/3) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 b))) 1)) (pow 1 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (- (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log a))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (* (pow (/ 1 a) 1/3) (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (/ PI b) (pow a -1/3)) (+ (* (* -1 (* (pow a 1/3) PI)) (/ (* -1/3 (* (pow (/ 1 a) 1/3) (/ 1 b))) (pow a -1/3))))) into (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* b (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b))))) (* -1 (* -1 (* (pow a 1/3) PI)))) into (* 5/3 (* (pow a 1/3) PI)) * [misc]taylor: Taking taylor expansion of (* 5/3 (* (pow a 1/3) PI)) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (* (pow a 1/3) PI) in b * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow a 1/3) PI) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (+ (* 5/3 0) (* 0 (* (pow a 1/3) PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (pow a 1/3) PI)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 b))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log a))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 a) 1/3) (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) (pow a -1/3)) (+ (* (* -1 (* (pow a 1/3) PI)) (/ (* -1/9 (* (pow (/ 1 a) 1/3) (/ 1 (pow b 2)))) (pow a -1/3))) (* (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b)))) (/ (* -1/3 (* (pow (/ 1 a) 1/3) (/ 1 b))) (pow a -1/3))))) into (- (+ (* 2/3 (* (/ PI (pow b 2)) (pow a 1/3))) (* 2/9 (* (pow a 1/3) (/ PI (pow b 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b (- (+ (* 2/3 (* (/ PI (pow b 2)) (pow a 1/3))) (* 2/9 (* (pow a 1/3) (/ PI (pow b 2))))))) (+ (* -1 (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b))))) (* 0 (* -1 (* (pow a 1/3) PI))))) into (- (* 1/9 (* (pow a 1/3) (/ PI b))) (* 5/3 (* (/ PI b) (pow a 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (* (pow a 1/3) (/ PI b))) (* 5/3 (* (/ PI b) (pow a 1/3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/9 (* (pow a 1/3) (/ PI b))) in b * [misc]taylor: Taking taylor expansion of 1/9 in b * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (* (pow a 1/3) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 5/3 (* (/ PI b) (pow a 1/3))) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (* (/ PI b) (pow a 1/3)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow a 1/3) PI) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (* (pow a 1/3) PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow a 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow a 1/3))) into 0 * [misc]backup-simplify: Simplify (* PI (pow a 1/3)) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (* (pow a 1/3) PI)))) 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 (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (* (pow a 1/3) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (pow a 1/3) PI)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ 0 -1)) (* (- (/ PI (pow b 2))) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 b))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 b))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log a))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (* (pow (/ 1 a) 1/3) (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (pow a -1/3)) (+ (* (* -1 (* (pow a 1/3) PI)) (/ (* -5/81 (* (pow (/ 1 a) 1/3) (/ 1 (pow b 3)))) (pow a -1/3))) (* (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b)))) (/ (* -1/9 (* (pow (/ 1 a) 1/3) (/ 1 (pow b 2)))) (pow a -1/3))) (* (- (+ (* 2/3 (* (/ PI (pow b 2)) (pow a 1/3))) (* 2/9 (* (pow a 1/3) (/ PI (pow b 2)))))) (/ (* -1/3 (* (pow (/ 1 a) 1/3) (/ 1 b))) (pow a -1/3))))) into (- (* 8/9 (* (/ PI (pow b 3)) (pow a 1/3))) (* 14/81 (* (pow a 1/3) (/ PI (pow b 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b (- (* 8/9 (* (/ PI (pow b 3)) (pow a 1/3))) (* 14/81 (* (pow a 1/3) (/ PI (pow b 3)))))) (+ (* -1 (- (+ (* 2/3 (* (/ PI (pow b 2)) (pow a 1/3))) (* 2/9 (* (pow a 1/3) (/ PI (pow b 2))))))) (+ (* 0 (- (* (/ PI b) (pow a 1/3)) (* 1/3 (* (pow a 1/3) (/ PI b))))) (* 0 (* -1 (* (pow a 1/3) PI)))))) into (+ (* 14/9 (* (/ PI (pow b 2)) (pow a 1/3))) (* 4/81 (* (pow a 1/3) (/ PI (pow b 2))))) * [misc]taylor: Taking taylor expansion of (+ (* 14/9 (* (/ PI (pow b 2)) (pow a 1/3))) (* 4/81 (* (pow a 1/3) (/ PI (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 14/9 (* (/ PI (pow b 2)) (pow a 1/3))) in b * [misc]taylor: Taking taylor expansion of 14/9 in b * [misc]backup-simplify: Simplify 14/9 into 14/9 * [misc]taylor: Taking taylor expansion of (* (/ PI (pow b 2)) (pow a 1/3)) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of (* 4/81 (* (pow a 1/3) (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4/81 in b * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (* (pow a 1/3) (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow a 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log a)) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 1/3 (log a)) into (* 1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log a))) into (pow a 1/3) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow a 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow a 1/3))) into 0 * [misc]backup-simplify: Simplify (* PI (pow a 1/3)) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (+ (* 14/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow a 1/3) PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow a 1/3) PI) into (* (pow a 1/3) PI) * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow a 1/3) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* (pow (/ 1 (- a)) 1/3) PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (* (pow (/ -1 (pow a 4)) 1/3) (/ PI b))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- a) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log -1))) into (* 1/3 (+ (log a) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- a)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log -1)) into (- (log -1) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log a)))) into (* 1/3 (- (log -1) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log a))))) into (exp (* 1/3 (- (log -1) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- a))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log -1)) into (- (log -1) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log a)))) into (* 1/3 (- (log -1) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log a))))) into (exp (* 1/3 (- (log -1) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) (pow (* 1 b) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) (* 1 b)) (exp (* 1/3 (+ (log a) (log -1)))))) into (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (pow b -1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log b))) in a * [misc]taylor: Taking taylor expansion of (* -1/3 (log b)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* -1/3 (log b)) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]backup-simplify: Simplify (pow b -1/3) into (pow b -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 a))) 1)) (pow 1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 a))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 a))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 a))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 b) -1/3) into (pow (/ 1 b) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 a)) 1)) (pow -1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log -1) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 a)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 a)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 a)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- b)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- a) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log -1))) into (* 1/3 (+ (log a) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- a)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log -1)) into (- (log -1) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log a)))) into (* 1/3 (- (log -1) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log a))))) into (exp (* 1/3 (- (log -1) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- a))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log -1)) into (- (log -1) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log a)))) into (* 1/3 (- (log -1) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log a))))) into (exp (* 1/3 (- (log -1) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) (pow (* 1 b) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) (* 1 b)) (exp (* 1/3 (+ (log a) (log -1)))))) into (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (pow b -1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log b))) in a * [misc]taylor: Taking taylor expansion of (* -1/3 (log b)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* -1/3 (log b)) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]backup-simplify: Simplify (pow b -1/3) into (pow b -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 a))) 1)) (pow 1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 a))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 a))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 a))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 b) -1/3) into (pow (/ 1 b) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 a)) 1)) (pow -1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log -1) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 a)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 a)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 a)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- b)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- a) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log -1))) into (* 1/3 (+ (log a) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- a)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log -1)) into (- (log -1) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log a)))) into (* 1/3 (- (log -1) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log a))))) into (exp (* 1/3 (- (log -1) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- a))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log -1)) into (- (log -1) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log a)))) into (* 1/3 (- (log -1) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log a))))) into (exp (* 1/3 (- (log -1) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) (pow (* 1 b) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) (* 1 b)) (exp (* 1/3 (+ (log a) (log -1)))))) into (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (pow b -1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log b))) in a * [misc]taylor: Taking taylor expansion of (* -1/3 (log b)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* -1/3 (log b)) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]backup-simplify: Simplify (pow b -1/3) into (pow b -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 a))) 1)) (pow 1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 a) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 a))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 2)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 a))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 a))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow a 3)) (pow (/ 1 b) 1/3)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 b) 1/3)) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 b) -1/3) into (pow (/ 1 b) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 a)) 1)) (pow -1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log -1) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 a)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 a)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 a)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- b)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (pow (/ (- (/ PI a) (/ PI b)) (* (+ a b) (cbrt (- b a)))) 1))) * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI (+ a b))) (log (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (+ (- (log (- (/ 1 a) (/ 1 b))) (log (cbrt (- b a)))) (log (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (exp (+ (- (log (- (/ 1 a) (/ 1 b))) (log (cbrt (- b a)))) (log (/ PI (+ a b))))))) * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI (+ a b)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (exp (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI (+ a b)) (cbrt (- b a)))))))) * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- b a)) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (* (/ PI (+ a b)) (/ PI (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (cbrt (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- b a)) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (* (/ PI (+ a b)) (/ PI (+ a b)))))))) * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI (+ a b)) (cbrt (- b a))) (/ (/ PI (+ a b)) (cbrt (- b a)))) (/ (/ PI (+ a b)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (* (* (/ (/ PI (+ a b)) (cbrt (- b a))) (/ (/ PI (+ a b)) (cbrt (- b a)))) (* (pow (- (/ 1 a) (/ 1 b)) 3) (/ (/ PI (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (cbrt (* (* (/ (/ PI (+ a b)) (cbrt (- b a))) (/ (/ PI (+ a b)) (cbrt (- b a)))) (* (pow (- (/ 1 a) (/ 1 b)) 3) (/ (/ PI (+ a b)) (cbrt (- b a)))))))) * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* PI (/ (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* PI (/ (- b a) (+ b a))) (* (* a b) (cbrt (- b a)))))) * [enter]simplify: Simplifying (* (* a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (* a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* PI (/ (- b a) (+ b a))) (* (cbrt (- b a)) (* a b))))) * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) (* a a)) (/ (/ PI b) (* b b))) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (- (/ (/ PI a) (* a a)) (/ (/ PI b) (* b b))) (+ a b)) (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (cbrt (- b a)))))) * [enter]simplify: Simplifying (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI (+ a b))) (* (cbrt (- b a)) (+ (/ (+ (/ 1 b) (/ 1 a)) a) (* (/ 1 b) (/ 1 b))))))) * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) (/ (+ a b) PI)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) (/ (+ a b) PI)) (* (+ (/ 1 a) (/ 1 b)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (* (+ (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (+ (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI (+ a b))) (* (cbrt (- b a)) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (/ PI (+ a b)) (cbrt (- b a)))) (cbrt (/ (/ PI (+ a b)) (cbrt (- b a)))))) (cbrt (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ PI (+ a b)) (cbrt (- b a))))) (sqrt (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (sqrt (- b a))))) (/ (cbrt (/ PI (+ a b))) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt 1))) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (cbrt (/ PI (+ a b))) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt (cbrt (- b a))))) (/ (cbrt (/ PI (+ a b))) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1)) (/ (cbrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) (cbrt (sqrt (- b a))))) (/ (sqrt (/ PI (+ a b))) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) (cbrt 1))) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (sqrt (/ PI (+ a b))) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) (sqrt (cbrt (- b a))))) (/ (sqrt (/ PI (+ a b))) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI (+ a b))) 1)) (/ (sqrt (/ PI (+ a b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (/ PI (+ a b)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (cbrt (sqrt (- b a))))) (/ (/ PI (+ a b)) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (cbrt 1))) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (/ PI (+ a b)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (sqrt (cbrt (- b a))))) (/ (/ PI (+ a b)) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 1)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (cbrt (sqrt (- b a))))) (/ (/ 1 (+ a b)) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (cbrt 1))) (/ (/ 1 (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (/ 1 (+ a b)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (sqrt (cbrt (- b a))))) (/ (/ 1 (+ a b)) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI 1)) (/ (/ 1 (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (- (* b b) (* (- b a) a)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt (sqrt (- b a))))) (/ (- (* b b) (* (- b a) a)) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) (cbrt 1))) (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (- (* b b) (* (- b a) a)) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt (cbrt (- b a))))) (/ (- (* b b) (* (- b a) a)) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ (pow a 3) (pow b 3))) 1)) (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) (cbrt (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (- a b) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) (cbrt (sqrt (- b a))))) (/ (- a b) (cbrt (sqrt (- b a))))))) * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) (cbrt 1))) (/ (- a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) (* (cbrt (cbrt (- b a))) (cbrt (cbrt (- b a)))))) (/ (- a b) (cbrt (cbrt (- b a))))))) * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (sqrt (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) (sqrt (cbrt (- b a))))) (/ (- a b) (sqrt (cbrt (- b a))))))) * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- (* a a) (* b b))) 1)) (/ (- a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) 1) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (/ 1 (cbrt (- b a)))))) * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (* b b) (* a (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- (pow b 3) (pow a 3))))) (cbrt (+ (* b b) (* a (+ b a))))))) * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- (* b b) (* a a))))) (cbrt (+ a b))))) * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a))))))) * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b))) (cbrt (- b a))))) * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (+ b a)) (/ (cbrt (- b a)) PI)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (/ (- b a) (+ b a)) (/ (cbrt (- b a)) PI)) (* a b)))) * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (cbrt (- b a)) (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (cbrt (- b a)) (/ PI (+ a b)))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1 a) (/ 1 b)) (cbrt (- b a))) (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (* (/ (+ (/ 1 a) (/ 1 b)) (cbrt (- b a))) (* (- (/ 1 a) (/ 1 b)) (/ PI (+ a b)))) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (* (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (cbrt (- b a)))))))) * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- b a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (* (cbrt (sqrt (- b a))) (cbrt (sqrt (- b a)))))))) * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (* (cbrt 1) (cbrt (- b a))))))) * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (/ (cbrt (- (pow b 3) (pow a 3))) (cbrt (+ (* b b) (+ (* a a) (* b a))))))))) * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* b b) (* a a))) * * [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 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* b b) (* a a))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (/ (cbrt (- (* b b) (* a a))) (cbrt (+ b a))))))) * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (* (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (cbrt (- b a)))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- b a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (* (cbrt (sqrt (- b a))) (cbrt (sqrt (- b a)))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (* (cbrt 1) (cbrt (- b a))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (/ (cbrt (- (pow b 3) (pow a 3))) (cbrt (+ (* b b) (+ (* a a) (* b a))))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* b b) (* a a))) * * [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 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (/ (cbrt (- (* b b) (* a a))) (cbrt (+ b a))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b) (* (/ (/ 1 (* (* (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (cbrt (- b a)))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- b a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b) (* (/ (/ 1 (* (* (cbrt (sqrt (- b a))) (cbrt (sqrt (- b a)))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b) (* (/ (/ 1 (* (* (cbrt 1) (cbrt (- b a))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b) (* (/ (/ 1 (* (/ (cbrt (- (pow b 3) (pow a 3))) (cbrt (+ (* b b) (+ (* a a) (* b a))))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* b b) (* a a))) * * [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 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b) (* (/ (/ 1 (* (/ (cbrt (- (* b b) (* a a))) (cbrt (+ b a))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ PI a) (pow (/ 1 (pow b 4)) 1/3)) (* 14/9 (* (* a PI) (pow (/ 1 (pow b 10)) 1/3)))) (* 5/3 (* (pow (/ 1 (pow b 7)) 1/3) PI))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (+ (- (* (/ PI a) (cbrt (/ 1 (pow b 4)))) (* (cbrt (/ 1 (pow b 7))) (* PI 5/3))) (* (cbrt (/ 1 (pow b 10))) (* PI (* 14/9 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (+ (- (* (/ PI a) (cbrt (/ 1 (pow b 4)))) (* (cbrt (/ 1 (pow b 7))) (* PI 5/3))) (* (cbrt (/ 1 (pow b 10))) (* PI (* 14/9 a)))))) * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ PI (* a (* (exp (* 1/3 (- (log -1) (log (/ 1 a))))) b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) (* b a)) (cbrt (* a -1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (/ (/ (- PI) (* b a)) (cbrt (* a -1))))) * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (* (pow (/ -1 (pow a 4)) 1/3) (/ PI b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (- (/ PI b)) (cbrt (/ -1 (pow a 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ PI b)) (cbrt (/ -1 (pow a 4)))))) * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))))))) * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 b) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 b) -1/3) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (pow (/ 1 b) -1/3))))) * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt b) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt b))))) * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 b) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 b) -1/3) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (pow (/ 1 b) -1/3))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt b) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt b))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 119 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (* (/ (/ 1 (* (- (- (cbrt (- a)) (* (* (* 1/3 b) (cbrt -1)) (pow (/ 1 a) (* 2 1/3)))) (* (/ (cbrt -1) (pow a (* 1/3 5))) (* 1/9 (* b b)))) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 b) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 b) -1/3) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (* (/ (/ 1 (* (pow (/ 1 b) -1/3) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt b) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (* (/ (/ 1 (* (cbrt b) (cbrt (- b a)))) 2) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ a b)) (cbrt (- b a)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (a b) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #