* [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 136 additional inputs, on iter 1 have 120 / 256 * * * * [misc]points: Computing exacts on every 8 of 136 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 136 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 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 136 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 74 additional inputs, on iter 2 have 182 / 256 * * * * [misc]points: Computing exacts on every 4 of 74 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 74 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 74 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 37 additional inputs, on iter 3 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 37 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) * * [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 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* v v)) (/ 4 (sqrt 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* v v)) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (- 1 (* v v)) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/4 (sqrt 2)) into (* -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) 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 0) (+ (* 0 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (sqrt 2)) (* (* -1/4 (sqrt 2)) (pow (/ 1 (/ 1 v)) 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/4 (sqrt 2)) into (* -1/4 (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) 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 (- 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) (+ (* 0 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (sqrt 2)) (* (* -1/4 (sqrt 2)) (pow (/ 1 (/ 1 (- v))) 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* -3 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 0 0) (* 0 0))) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow v 2)) into (* -3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow (/ 1 (/ 1 v)) 2)) into (* -3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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) 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 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) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 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) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow (/ 1 (/ 1 (- v))) 2)) into (* -3 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* v v)) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* v v)) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* v v)) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* v v)) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* v v)) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* v v)) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 0 0) (* 0 0))) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* (- (* 1/4 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* (- (* 1/4 (sqrt 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 2))) -3/2) (+ (* 0 0) (* 0 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 v) (/ 1 v))) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 v) (/ 1 v))) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* (/ 1 v) (/ 1 v))) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* (/ 1 v) (/ 1 v))) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 v) (/ 1 v))) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 v) (/ 1 v))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* (/ 1 v) (/ 1 v))) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* (/ 1 v) (/ 1 v))) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (* (* -1/4 (sqrt 2)) (sqrt -3)) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [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 0) (+ (* 0 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (* 1/4 (sqrt 2)) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1))) in v * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ 4 (sqrt 2))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [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 (/ 4 (sqrt 2))) into (* -1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1)) in v * [misc]taylor: Taking taylor expansion of (+ (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) 1) in v * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (* (* -1/4 (sqrt 2)) (sqrt -3)) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) 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 (- 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) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -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 (- 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) (+ (* 0 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (* 1/4 (sqrt 2)) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* -1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (- 1 (* v v)) (/ (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 12 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (- 1 (* v v)) (/ (/ 4 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 13 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (- 1 (* v v)) (/ (/ 4 1) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 14 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* v v))) (log (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (log (- 1 (* v v))) (log (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (- (log (- 1 (* v v))) (log (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 16 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 32 (sqrt 2))) (* (- 1 (* v v)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (/ (- 1 (* v v)) (/ 32 (sqrt 2))) (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 19 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* 1/4 (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (- (* 1/4 (sqrt 2)) (/ (* v v) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 24 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 25 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* v v)))) (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 26 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 27 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (/ (cbrt (- 1 (* v v))) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (- 1 (* v v))) (/ (cbrt (- 1 (* v v))) 4)) (/ (cbrt (- 1 (* v v))) (/ 1 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* v v))) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) (* (cbrt (- 1 (* v v))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 28 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 29 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 30 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 31 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (* (sqrt (- 1 (* v v))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 32 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 33 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 34 / 108 ] 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 (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 35 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1/4 (/ (- 1 (* v v)) (/ 1 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (- 1 (* v v)) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (sqrt 2) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (sqrt 2) (* v v)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 36 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (- 1 (* v v)) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (cbrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 40 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) (sqrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 41 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (- 1 (* v v)) 1) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 42 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (- 1 (* v v)) 4) (/ 1 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 43 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 44 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 45 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (- 1 (* v v)) 4) (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 47 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (* v v) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- 1 (pow v 6)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (- 1 (pow v 6)) (* (/ 4 (sqrt 2)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 48 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (- 1 (pow v 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (- 1 (pow v 4)) (* (/ 4 (sqrt 2)) (+ 1 (* v v)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 49 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* (* v -3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (sqrt (+ 1 (* (* v -3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) 1)) * * * * [misc]progress: [ 59 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- 1 (* v v))) (log (/ 4 (sqrt 2)))) (log (sqrt (+ (* -3 (* v v)) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* -3 (* v v)) 1))) (- (log (/ 4 (sqrt 2))) (log (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (sqrt (+ (* -3 (* v v)) 1))) (- (log (/ 4 (sqrt 2))) (log (- 1 (* v v))))))) * * * * [misc]progress: [ 61 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (log (sqrt (+ (* -3 (* v v)) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (+ (log (* (/ (sqrt 2) 4) (- 1 (* v v)))) (log (sqrt (+ 1 (* v (* -3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (* (/ (sqrt 2) 4) (- 1 (* v v)))) (log (sqrt (+ 1 (* v (* -3 v)))))))) * * * * [misc]progress: [ 62 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (/ 4 (sqrt 2)))) (* (* (sqrt (+ (* -3 (* v v)) 1)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (* (+ (* v (* v -3)) 1) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (+ (* v (* v -3)) 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (* (+ (* v (* v -3)) 1) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (+ (* v (* v -3)) 1))))) * * * * [misc]progress: [ 65 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (* (* (sqrt (+ (* -3 (* v v)) 1)) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* -3 (* v v)) 1)) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (* (+ (* -3 (* v v)) 1) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (sqrt (+ (* -3 (* v v)) 1)) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (* (+ (* -3 (* v v)) 1) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))))) * * * * [misc]progress: [ 66 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) (sqrt (+ (pow (* -3 (* v v)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (+ (* (* (* 9 v) (* v v)) (* (* v -3) (* v v))) 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- 1 (* v v)) (sqrt (+ (* (* (* 9 v) (* v v)) (* (* v -3) (* v v))) 1))) (* (/ 4 (sqrt 2)) (sqrt (+ (* (* -3 (* v v)) (* -3 (* v v))) (- (* 1 1) (* (* -3 (* v v)) 1))))))) * [enter]simplify: Simplifying (* (/ 4 (sqrt 2)) (sqrt (+ (* (* -3 (* v v)) (* -3 (* v v))) (- (* 1 1) (* (* -3 (* v v)) 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (- (+ (* 3 (* v v)) 1) (* (* -3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (- 1 (* v v)) (sqrt (+ (pow (* -3 (* v v)) 3) (pow 1 3)))) (* (sqrt (- (+ (* 3 (* v v)) 1) (* (* -3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 70 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) (sqrt (- (* (* -3 (* v v)) (* -3 (* v v))) (* 1 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- (* 9 (pow v 4)) 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- 1 (* v v)) (sqrt (- (* 9 (pow v 4)) 1))) (* (/ 4 (sqrt 2)) (sqrt (- (* -3 (* v v)) 1))))) * [enter]simplify: Simplifying (* (/ 4 (sqrt 2)) (sqrt (- (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 (* (* -3 v) v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (- 1 (* v v)) (sqrt (- (* 9 (pow v 4)) 1))) (* (sqrt (+ -1 (* (* -3 v) v))) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 71 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* -3 (* v v)) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (* (cbrt (sqrt (+ (* -3 (* v v)) 1))) (cbrt (sqrt (+ (* -3 (* v v)) 1))))) (cbrt (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 73 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* -3 (* v v)) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (* (cbrt (+ (* -3 (* v v)) 1)) (cbrt (+ (* -3 (* v v)) 1))))) (sqrt (cbrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 74 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* -3 (* v v)) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (sqrt (+ (* -3 (* v v)) 1)))) (sqrt (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 75 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* -3 (* v v)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* -3 (* v v)) 1)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt 1)) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 76 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* -3 (* v v)) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (sqrt (+ (* -3 (* v v)) 1)))) (sqrt (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 77 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* -3 (* v v)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* -3 (* v v)) 1)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) 1) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 78 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * * [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 (57 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (* (cbrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 79 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (sqrt 2) 4) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (sqrt (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 80 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 81 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* v v)))) (* (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 82 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 83 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (/ (cbrt (- 1 (* v v))) 4)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (- 1 (* v v))) (/ (cbrt (- 1 (* v v))) 4)) (* (/ (cbrt (- 1 (* v v))) (/ 1 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 84 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (* (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 85 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 86 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (- 1 (* v v))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 87 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) 4) (* (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 88 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 89 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 90 / 108 ] 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 (v) (* 1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 91 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1/4 (* (/ (- 1 (* v v)) (/ 1 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 92 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (- 1 (* v v)) (* (/ 1 (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 94 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- 1/4 (/ v (/ 4 v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (- 1/4 (/ v (/ 4 v))) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))))) * * * * [misc]progress: [ 95 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* -3 (* v v)) (* -3 (* v v))) (- (* 1 1) (* (* -3 (* v v)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (sqrt (- (+ 1 (* 3 (* v v))) (* (* (* v v) (* v v)) -9))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (pow (* -3 (* v v)) 3) (pow 1 3)))) (sqrt (- (+ 1 (* 3 (* v v))) (* (* (* v v) (* v v)) -9))))) * * * * [misc]progress: [ 96 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* -3 (* v v)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (* -3 (* v v)) 1)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- (* (* -3 (* v v)) (* -3 (* v v))) (* 1 1)))) (sqrt (- (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 97 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 98 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* (* v -3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2) to (λ (v) (/ (sqrt (+ 1 (* (* v -3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 100 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (* 1/4 (sqrt 2)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 101 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (* 1/4 (sqrt 2)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 102 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (* 1/4 (sqrt 2)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 103 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 104 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 105 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 106 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (+ (+ 1/4 (* (pow v 4) 3/32)) (* (* -5/8 v) v)) (sqrt 2)) * [misc]simplify: Simplified (2) to (λ (v) (* (+ (+ 1/4 (* (pow v 4) 3/32)) (* (* -5/8 v) v)) (sqrt 2))) * * * * [misc]progress: [ 107 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (sqrt 2) v) (+ (/ -1/96 (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v)))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (* (/ (sqrt 2) v) (+ (/ -1/96 (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v))))) * * * * [misc]progress: [ 108 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1/8 (sqrt -3)) (* (sqrt 2) v)) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3))))) (* (sqrt -3) (* (sqrt 2) (* 1/4 v)))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (* (/ 1/8 (sqrt -3)) (* (sqrt 2) v)) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3))))) (* (sqrt -3) (* (sqrt 2) (* 1/4 v))))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 2 (/ 1 (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 2 (/ 1 (sqrt 2))) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 3/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ -1/8 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ (* 3/2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ -1/8 1)) (* (* 2 (/ 1 (sqrt 2))) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 3/2 (/ 1 (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 3/2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1/16 1)) (* 0 (/ 0 1)) (* (* 2 (/ 1 (sqrt 2))) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 3/2 (/ 1 (sqrt 2))) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 5/4 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ -1/16 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ (* 5/4 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ (* 3/2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/16)) (* 2 (* -1/2 0)) (* 2 (* 0 -1/8)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/16)) (* 2 (* -1/2 0)) (* 2 (* 0 -1/8)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ -1/16 1)) (* (* 2 (/ 1 (sqrt 2))) (/ 0 1)) (* 0 (/ -1/8 1)) (* (* 3/2 (/ 1 (sqrt 2))) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 5/4 (/ 1 (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 5/4 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 3/2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/16)) (* 2 (* 0 0)))) (* 2 1)) into -5/128 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/16)) (* 2 (* 0 0)))) (* 2 1)) into -5/128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -5/128 1)) (* 0 (/ 0 1)) (* (* 2 (/ 1 (sqrt 2))) (/ -1/16 1)) (* 0 (/ 0 1)) (* (* 3/2 (/ 1 (sqrt 2))) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 5/4 (/ 1 (sqrt 2))) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 35/32 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ -5/128 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ (* 35/32 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 1/4 (sqrt 2))) (/ (* 5/4 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 3/2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ (* 2 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (sqrt -1) (/ 4 (* (sqrt 2) (sqrt -1)))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (sqrt -1) (/ 4 (* (sqrt 2) (sqrt -1)))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))))) into (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) into (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))) (* (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))))) into (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) into (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) (pow (/ 1 v) 2)) (+ (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (pow (/ 1 (/ 1 v)) 2)))) into (- (+ (* 1/4 (* (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (* 1/8 (sqrt 2))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (sqrt 2) (pow v 2))) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (sqrt -1) (/ 4 (* (sqrt 2) (sqrt -1)))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (sqrt -1) (/ 4 (* (sqrt 2) (sqrt -1)))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) into (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -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 (- 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) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))))) into (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) into (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) * [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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (/ 0 (/ 4 (* (sqrt 2) (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) (/ 4 (* (sqrt 2) (sqrt -1)))) (+ (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (/ (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))) (* (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (/ (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 4 (* (sqrt 2) (sqrt -1))))) (* 0 (/ 0 (/ 4 (* (sqrt 2) (sqrt -1))))))) into (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) into (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/16 (sqrt 2)) (* 1/16 (/ (sqrt 2) (pow (sqrt -1) 2))))) (pow (/ 1 (- v)) 2)) (+ (- (* 1/8 (sqrt 2)) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))) (* (* 1/4 (* (sqrt 2) (pow (sqrt -1) 2))) (pow (/ 1 (/ 1 (- v))) 2)))) into (- (+ (* 1/4 (* (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (* 1/8 (sqrt 2))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (sqrt 2) (pow v 2))) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* -3 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* -3 (* v v)) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 0 0) (* 0 0))) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow v 2)) into (* -3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow (/ 1 (/ 1 v)) 2)) into (* -3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -3 in v * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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) 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 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) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 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) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -3 (pow (/ 1 (/ 1 (- v))) 2)) into (* -3 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqrt 2))) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 2 (/ 1 (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 2 (/ 1 (sqrt 2))) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 3/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 3/2 (/ 1 (sqrt 2))) into (/ 3/2 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 3/2 (sqrt 2)) (pow v 4)) (+ (* (/ 2 (sqrt 2)) (pow v 2)) (/ 4 (sqrt 2)))) into (+ (* 4 (/ 1 (sqrt 2))) (+ (* 2 (/ (pow v 2) (sqrt 2))) (* 3/2 (/ (pow v 4) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ 4 (* (sqrt 2) (sqrt -1))) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) into (/ 2 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) (pow (/ 1 v) 5)) (+ (* (/ 2 (* (sqrt 2) (sqrt -1))) (pow (/ 1 v) 3)) (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 1 v)))) into (+ (/ 1 (* (sqrt 2) (* (pow v 5) (sqrt -1)))) (+ (* 2 (/ 1 (* (sqrt 2) (* (pow v 3) (sqrt -1))))) (+ (* 1/2 (/ 1 (* (sqrt 2) (* (pow v 5) (pow (sqrt -1) 5))))) (* 4 (/ 1 (* (sqrt 2) (* v (sqrt -1)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) (sqrt -1)) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ 4 (* (sqrt 2) (sqrt -1))) into (/ 4 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) into (/ 2 (* (sqrt 2) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (* (sqrt 2) (sqrt -1)))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) into (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (* (sqrt 2) (sqrt -1))) (* 1/2 (/ 1 (* (sqrt 2) (pow (sqrt -1) 5))))) (pow (/ 1 (- v)) 5)) (+ (* (/ 2 (* (sqrt 2) (sqrt -1))) (pow (/ 1 (- v)) 3)) (* (/ 4 (* (sqrt 2) (sqrt -1))) (/ 1 (- v))))) into (- (+ (/ 1 (* (sqrt 2) (* (pow v 5) (sqrt -1)))) (+ (* 2 (/ 1 (* (sqrt 2) (* (pow v 3) (sqrt -1))))) (+ (* 1/2 (/ 1 (* (sqrt 2) (* (pow v 5) (pow (sqrt -1) 5))))) (* 4 (/ 1 (* (sqrt 2) (* v (sqrt -1))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 12 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 13 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 1) (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 14 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 (* v v)))) (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v)))))) * * [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 (100 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- 1 (* v v)))) (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (- (log (sqrt (- 1 (* v v)))) (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 16 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 (* v v)))) (log (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* v v)))) (- (log (sqrt (- 1 (* v v)))) (log (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (- 1 (* v v)))) (- (log (sqrt (- 1 (* v v)))) (log (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 17 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (/ (* (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (/ 4 (sqrt 2))) (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 20 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (* (* (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (* v v)) (/ 4 (sqrt 2))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (pow (/ (- 1 (* v v)) (/ 4 (sqrt 2))) 3)) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 21 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 26 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 27 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (cbrt (/ 4 (sqrt 2)))) (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 28 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 29 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 30 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 31 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 32 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 33 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 34 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 35 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 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 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 36 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 37 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 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 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 38 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 39 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (* (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 40 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 41 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 42 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 43 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 44 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 1 1)) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 45 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) 4) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (- 1 (* v v))) 4) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (- 1 (* v v))) 4) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 46 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (fabs (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (fabs (cbrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (fabs (cbrt (- 1 (* v v)))))) (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 47 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 48 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 4) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 49 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 50 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 1)) * * [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 (sqrt (- 1 (* v v)))) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 51 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 52 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (sqrt 2) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ 4 (sqrt 2))) (* (sqrt (- 1 (* v v))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 53 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (pow v 6))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (sqrt (- 1 (pow v 6))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (sqrt (- 1 (pow v 6))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 54 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (pow v 4))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (sqrt (- 1 (pow v 4))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (sqrt (- 1 (pow v 4))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 55 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 56 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 57 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 58 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 59 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 60 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 61 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 62 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 63 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 64 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 65 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 66 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 67 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 68 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 69 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (* (fabs (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 70 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (/ (cbrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 71 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 72 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 73 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (* (sqrt (sqrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 74 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 75 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (* (* (sqrt (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 76 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) 4) (* (sqrt 2) (cbrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 77 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) (* (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 78 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 79 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (fabs (cbrt (- 1 (* v v)))) 4)) (* (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 80 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) 4) (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 81 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 82 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (* (sqrt (cbrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 83 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 6))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 6))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 6))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 84 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 4))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (pow v 4))))) (/ (sqrt (cbrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 85 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [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 (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 86 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 87 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 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 (103 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 88 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 89 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 90 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 91 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 92 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 93 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 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 (/ (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 94 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 95 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 96 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 97 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 98 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 99 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 100 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 101 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 102 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt 1))) * * [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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 103 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 104 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 105 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 106 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 107 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (* (sqrt 2) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 108 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 109 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (* (sqrt 2) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 110 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 111 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 112 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (* (sqrt (- 1 (* v v))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 113 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 114 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 115 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ 1 (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ 1 (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 116 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 117 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 118 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [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 (51 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 119 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 120 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 121 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 122 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 123 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 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 (73 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 124 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 125 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 126 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 127 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 128 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 129 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 130 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 131 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [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) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 132 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 133 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [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) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 134 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 135 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (* 1/4 (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* 1/4 (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* 1/4 (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 136 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) 1/4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) 1/4) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) 1/4) (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 137 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 138 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1/4 (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (* v v) (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 139 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 140 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1/4 (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (* v v) (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 141 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 142 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* 1/4 (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (- 1 (* v v))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 143 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (+ (* v v) (pow v 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (+ (* v v) (pow v 4)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 144 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 145 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [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 (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 146 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 147 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 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 (103 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 148 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (fabs (cbrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 149 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 150 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 151 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 152 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 153 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 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 (/ (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (sqrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 154 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 155 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 156 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 157 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 158 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 159 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 160 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (fabs (cbrt (- 1 (* v v))))) (/ (* (sqrt (cbrt (- 1 (* v v)))) (sqrt 2)) (/ 4 (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 161 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 162 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt 1))) * * [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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 163 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 164 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 165 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (* (* (cbrt (sqrt (- 1 (* v v)))) (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 166 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) 4)) (* (* (sqrt (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v))))) (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 167 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (* (sqrt 2) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 168 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 169 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) 4) (* (sqrt 2) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 170 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) 4) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 171 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 172 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ 4 (sqrt 2))) (* (sqrt (- 1 (* v v))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 173 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 6))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ (+ 1 (pow v 4)) (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 174 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 175 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) * * [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 (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ 1 (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 176 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 177 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 178 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 179 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (94 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 180 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (/ 1 (cbrt (/ 4 (sqrt 2)))) (cbrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 181 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (94 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 182 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) (/ (- 1 (* v v)) (cbrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 183 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 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 (118 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 184 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (fabs (cbrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 185 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 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 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 186 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 187 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 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 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (sqrt (- 1 (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 188 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (- 1 (* v v)) (sqrt (/ 4 (sqrt 2))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 189 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 190 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (fabs (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 1 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 191 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 192 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 193 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (sqrt (sqrt (- 1 (* v v)))) (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 194 / 314 ] 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 1) to (λ (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 195 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 1/4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 1/4) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) 1/4) (* (cbrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 196 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * * [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 (* 1/4 (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* 1/4 (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* 1/4 (fabs (cbrt (- 1 (* v v))))) (* (* (sqrt (- 1 (* v v))) (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 197 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* 1/4 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* 1/4 (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* 1/4 (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 198 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1/4 (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (* v v) (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 199 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* 1/4 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* 1/4 (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* 1/4 (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (sqrt (- 1 (* v v)))) (* (sqrt 2) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 200 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to 1/4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* 1/4 (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (* v v) (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 201 / 314 ] 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 (v) (* (* 1 (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* 1 (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 202 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* 1/4 (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (- 1 (* v v))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 203 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) 1/4) (sqrt (- 1 (pow v 6)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (* (sqrt 2) 1/4) (sqrt (- 1 (pow v 6)))) (/ (sqrt (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (+ (* v v) (pow v 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (* (sqrt 2) 1/4) (sqrt (- 1 (pow v 6)))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (+ (* v v) (pow v 4)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 204 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (pow v 4))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 205 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 206 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 207 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 208 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (* (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 209 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 210 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 211 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 212 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 213 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 214 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 215 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 216 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 217 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 218 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 219 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 220 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 221 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) 1)) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 222 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 223 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 224 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 225 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt 1))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 226 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 (sqrt (sqrt (- 1 (* v v)))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 227 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 1 1)) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 228 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 229 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 230 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 231 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 1))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 232 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 233 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 1)) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 234 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) 1) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 235 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (/ 1 (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 236 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3))))) (sqrt (+ 1 (+ (* v v) (pow v 4))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 237 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (+ 1 (* v v)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 238 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v))))) (/ (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 239 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (fabs (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 240 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 241 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ 1 (/ (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 242 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 243 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt (- 1 (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 245 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (- 1 (pow v 6))) (* (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 246 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (- 1 (pow v 4))) (* (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 247 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 248 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 249 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 250 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 254 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (exp (- (log (/ 4 (sqrt 2))) (log (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 258 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 260 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (/ 4 (sqrt 2))) (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (/ (/ (/ 32 (sqrt 2)) (- 1 (* v v))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (cbrt (/ (/ (/ 32 (sqrt 2)) (- 1 (* v v))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 261 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 264 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 265 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 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 (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (* (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 266 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 267 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 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 (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 268 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 269 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 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 (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 270 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 271 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 272 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 273 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 274 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (sqrt (/ 4 (sqrt 2))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (sqrt (/ 4 (sqrt 2))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 275 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 276 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (sqrt (/ 4 (sqrt 2))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (sqrt (/ 4 (sqrt 2))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 277 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * * [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 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 278 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 279 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 280 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 1 (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 1 (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 281 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 282 / 314 ] 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 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 1 (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 1 (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 283 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * * [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 (/ (/ 4 (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (/ 4 (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (sqrt 2)) (cbrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 284 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (cbrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 285 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (sqrt (- 1 (* v v))))) * * [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 (/ 4 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 286 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 4 (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 4 (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 287 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (sqrt (- 1 (* v v))))) * * [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 (/ 4 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ 4 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 288 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 4 (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* 4 (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 289 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 290 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 291 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 292 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 293 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 294 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 295 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) (sqrt 1)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 296 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 297 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ (/ 4 (sqrt 2)) 1) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 298 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 299 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (sqrt (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 4 (sqrt 2)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 300 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 301 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 302 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (/ 4 (sqrt 2)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt (+ 1 (+ (* v v) (pow v 4)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 303 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (* (/ (/ 4 (sqrt 2)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt (+ 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 304 / 314 ] simplifiying candidate # * * * * [misc]progress: [ 305 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 306 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (* 1/4 (sqrt 2)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* 1/4 (sqrt 2)) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 307 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (* 1/8 (sqrt 2))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (sqrt 2) (pow v 2))) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (sqrt 2) 1/8) (* (sqrt 2) 1/8)) (* (* -1/4 (sqrt 2)) (* v v))) 0) * [misc]simplify: Simplified (2 1) to (λ (v) (* (- (+ (+ (* (sqrt 2) 1/8) (* (sqrt 2) 1/8)) (* (* -1/4 (sqrt 2)) (* v v))) 0) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 308 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (* 1/8 (sqrt 2))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (sqrt 2) (pow v 2))) (* 1/8 (* (sqrt 2) (pow (sqrt -1) 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (sqrt 2) 1/8) (* (sqrt 2) 1/8)) (* (* -1/4 (sqrt 2)) (* v v))) 0) * [misc]simplify: Simplified (2 1) to (λ (v) (* (- (+ (+ (* (sqrt 2) 1/8) (* (sqrt 2) 1/8)) (* (* -1/4 (sqrt 2)) (* v v))) 0) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 309 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 310 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 311 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (* -3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -3) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* (* v v) -3) 1)))) * * * * [misc]progress: [ 312 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (/ 1 (sqrt 2))) (+ (* 2 (/ (pow v 2) (sqrt 2))) (* 3/2 (/ (pow v 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (/ 4 (sqrt 2)) (+ (/ (* 3/2 (pow v 4)) (sqrt 2)) (* (/ (* v 2) (sqrt 2)) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (+ (/ 4 (sqrt 2)) (+ (/ (* 3/2 (pow v 4)) (sqrt 2)) (* (/ (* v 2) (sqrt 2)) v)))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 313 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (* (sqrt 2) (* (pow v 5) (sqrt -1)))) (+ (* 2 (/ 1 (* (sqrt 2) (* (pow v 3) (sqrt -1))))) (+ (* 1/2 (/ 1 (* (sqrt 2) (* (pow v 5) (pow (sqrt -1) 5))))) (* 4 (/ 1 (* (sqrt 2) (* v (sqrt -1)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (/ (/ 2 v) (* v v)) (/ 4 v)) (/ (/ 1 (sqrt -1)) (sqrt 2))) (/ (/ 1 (sqrt 2)) (* (sqrt -1) (pow v 5)))) (/ (/ 1/2 (pow (sqrt -1) 5)) (* (sqrt 2) (pow v 5)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (+ (+ (* (+ (/ (/ 2 v) (* v v)) (/ 4 v)) (/ (/ 1 (sqrt -1)) (sqrt 2))) (/ (/ 1 (sqrt 2)) (* (sqrt -1) (pow v 5)))) (/ (/ 1/2 (pow (sqrt -1) 5)) (* (sqrt 2) (pow v 5))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * * [misc]progress: [ 314 / 314 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (sqrt 2) (* (pow v 5) (sqrt -1)))) (+ (* 2 (/ 1 (* (sqrt 2) (* (pow v 3) (sqrt -1))))) (+ (* 1/2 (/ 1 (* (sqrt 2) (* (pow v 5) (pow (sqrt -1) 5))))) (* 4 (/ 1 (* (sqrt 2) (* v (sqrt -1))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ -1 (sqrt 2)) (pow v 5)) (/ 1/2 (pow (sqrt -1) 5))) (- (/ (/ -1 (sqrt 2)) (* (sqrt -1) (pow v 5))) (* (/ (/ 1 (sqrt 2)) (* v (sqrt -1))) (+ 4 (/ (/ 2 v) v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (sqrt (- 1 (* v v))) (+ (* (/ (/ -1 (sqrt 2)) (pow v 5)) (/ 1/2 (pow (sqrt -1) 5))) (- (/ (/ -1 (sqrt 2)) (* (sqrt -1) (pow v 5))) (* (/ (/ 1 (sqrt 2)) (* v (sqrt -1))) (+ 4 (/ (/ 2 v) v)))))) (sqrt (+ (* -3 (* v v)) 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) (sqrt (+ (* -3 (* v v)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v)))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3949 additional inputs, on iter 1 have 4051 / 8000 * * * * [misc]points: Computing exacts on every 246 of 3949 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 123 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 61 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 3949 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 1953 additional inputs, on iter 2 have 6047 / 8000 * * * * [misc]points: Computing exacts on every 122 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 61 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1953 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 975 additional inputs, on iter 3 have 7025 / 8000 * * * * [misc]points: Computing exacts on every 60 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 975 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 475 additional inputs, on iter 4 have 7525 / 8000 * * * * [misc]points: Computing exacts on every 29 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 14 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 475 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 235 additional inputs, on iter 5 have 7765 / 8000 * * * * [misc]points: Computing exacts on every 14 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 235 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 104 additional inputs, on iter 6 have 7896 / 8000 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 104 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 44 additional inputs, on iter 7 have 7956 / 8000 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 44 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 24 additional inputs, on iter 8 have 7976 / 8000 * * * * [misc]points: Computing exacts for 24 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 9 have 7989 / 8000 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs