* [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 141 additional inputs, on iter 1 have 115 / 256 * * * * [misc]points: Computing exacts on every 8 of 141 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 141 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 141 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 141 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 73 additional inputs, on iter 2 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 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 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 73 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 36 additional inputs, on iter 3 have 220 / 256 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 36 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 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 5 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 6 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ (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 (72 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * * [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 / 3 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2 1 2) * [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: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 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 (+ 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 (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 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 (+ 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 (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (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)) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 (+ 0 -3) 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) 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))) 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 (+ 0 -3) 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) 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))) 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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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) (sqrt -3))) -1) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 -3) 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) 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)))) 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 -3) 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) 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)))) 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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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) (sqrt -3))) -1) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -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 (- 0) into 0 * [misc]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) into 0 * [misc]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 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 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: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 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 (+ 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 (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 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 (+ 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 (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) 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) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (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) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 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) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 (+ 0 -3) 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) 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 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 (+ 0 -3) 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) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 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) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 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) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 v) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 v)) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 -3) 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) 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 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 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 -3) 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) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 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) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 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) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 (- v))) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (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 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) 1)) * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) 1)) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* 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 (99 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v 3) v)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (- 1 (* (* v 3) v)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))))) * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* v (* 3 v))))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (- 1 (* v (* 3 v))))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))))) * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* 3 v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (sqrt (- 1 (* v (* 3 v)))) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (- 1 (* v (* 3 v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (sqrt (- 1 (* v (* 3 v)))) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)))))) * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 (* v v)) (+ 1 (* v v)))) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) (* (+ 4 (* (* 4 (* v v)) (+ 1 (* v v)))) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) 4) 4)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) 4) 4)))) * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (sqrt (+ 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* 4 (* v v)) 4) (sqrt (+ 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (+ (/ (sqrt 2) 4) (* (* (* v v) (* v v)) (* (* (- v) v) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (+ (/ (sqrt 2) 4) (* (* (* v v) (* v v)) (* (* (- v) v) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* v v) 3))) (+ (* v v) 1)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (sqrt (+ 1 (* (* v v) 3))) (+ (* v v) 1)))) * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v)))) (* 4 (+ 1 (* v v))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v)))) (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (* (* (/ (- v) (/ 4 v)) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (/ (- v) (/ 4 v)) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (* (* (/ (- v) (/ 4 v)) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (/ (- v) (/ 4 v)) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (- v) (* (/ v 4) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- v) (* (/ v 4) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (- v) (* (/ v 4) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- v) (* (/ v 4) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v))))) * * * * [misc]progress: [ 38 / 83 ] 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 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 39 / 83 ] 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 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v)))) * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) 4) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))))) * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2))) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt (+ 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (- (sqrt 2) (* (* v v) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (- (sqrt 2) (* (* v v) (sqrt 2)))) 4)) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)) 1) (- 1 (* v v)))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v 3) v)))) (log (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (- 1 (* (* v 3) v)))) (log (/ (sqrt 2) 4)))) (- 1 (* v v)))) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* 3 v) v)) (* (/ 4 (/ 2 4)) (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (/ (- 1 (* (* 3 v) v)) (* (/ 4 (/ 2 4)) (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt 2)) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt 2)) (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (sqrt 2)) (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* 4 (sqrt (+ 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* 3 v)))) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (sqrt 2)) (* (sqrt (+ 1 (* v (* 3 v)))) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 83 ] 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 1) to (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* 3 (* v v)))) * * [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 (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) 4) (- 1 (* v v)))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 83 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 76 / 83 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 77 / 83 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 78 / 83 ] 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 (67 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (* (+ (- (* (pow v 4) 3/32) (* (* v 5/8) v)) 1/4) (sqrt 2)) * [misc]simplify: Simplified (2) to (λ (v) (* (+ (- (* (pow v 4) 3/32) (* (* v 5/8) v)) 1/4) (sqrt 2))) * * * * [misc]progress: [ 79 / 83 ] 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) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (sqrt -3) (* (sqrt 2) (* 1/4 v))) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v)))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (sqrt -3) (* (sqrt 2) (* 1/4 v))) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v))))) * * * * [misc]progress: [ 80 / 83 ] 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 -3) (* v 1/4)) (sqrt 2))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ (/ 1/32 -3) (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v)))) * [misc]simplify: Simplified (2) to (λ (v) (+ (- (- (* (/ 1/8 (sqrt -3)) (* (sqrt 2) v)) (* (* (sqrt -3) (* v 1/4)) (sqrt 2))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ (/ 1/32 -3) (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v))))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (* (- (- 1/4 (* (pow v 4) 9/32)) (* 3/8 (* v v))) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- (- 1/4 (* (pow v 4) 9/32)) (* 3/8 (* v v))) (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (+ (* (sqrt 2) (+ (/ (/ 1/8 v) (sqrt -3)) (* (* v 1/4) (sqrt -3)))) (* (/ 1/32 (sqrt -3)) (/ (- (sqrt 2)) (* (* v v) (* v -3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (sqrt 2) (+ (/ (/ 1/8 v) (sqrt -3)) (* (* v 1/4) (sqrt -3)))) (* (/ 1/32 (sqrt -3)) (/ (- (sqrt 2)) (* (* v v) (* v -3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt 2) (sqrt -3)) (- (/ (/ 1/32 -3) (pow v 3)) (/ 1/8 v))) (* (* (sqrt 2) v) (* 1/4 (sqrt -3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (- (* (/ (sqrt 2) (sqrt -3)) (- (/ (/ 1/32 -3) (pow v 3)) (/ 1/8 v))) (* (* (sqrt 2) v) (* 1/4 (sqrt -3)))) (- 1 (* v 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (log (exp (* 3 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into 3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) 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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 0 1) 1)))) into 9/2 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 9/2) 1)) (pow 1 1)))) 24) 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 3 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 3 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 3) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 3) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 9/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) 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 (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 3 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 3 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 3) 6)) (* (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 9/2 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 3) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 3) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 9/2) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 3) 1) 1 (pow (* 24 9/2) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 9/2) 1)) (pow 1 1)))) 720) 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 (* (exp 0) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 3 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 3 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 3 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 3) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 3) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 9/2) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 3) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1) 1 (pow (* 24 9/2) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 9/2) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 3) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 9/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) 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 (* (exp 0) (+ (* (/ (pow 0 8) 40320)) (* (/ (pow 0 6) 720) (/ (pow 3 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 3 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 3 3) 6)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 3 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 4) 24)) (* (/ (pow 3 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 3 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 27/8 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow 1 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 3) 1)) (pow 1 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 3) 2)) (pow 1 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow 1 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 3)) (pow 1 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 3) 1) (pow (* 6 0) 1)) (pow 1 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 9/2) 1)) (pow 1 5))) (* -630 (/ (* 1 (pow (* 2 3) 4)) (pow 1 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 2) (pow (* 6 0) 1)) (pow 1 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow 1 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 1) 1 (pow (* 24 9/2) 1)) (pow 1 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow 1 4))) (* 560 (/ (* 1 (pow (* 2 3) 1) (pow (* 6 0) 2)) (pow 1 3))) (* 420 (/ (* 1 (pow (* 2 3) 2) 1 (pow (* 24 9/2) 1)) (pow 1 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 9/2) 1)) (pow 1 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1) 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 9/2) 1)) (pow 1 3))) (* -35 (/ (* 1 1 1 (pow (* 24 9/2) 2)) (pow 1 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow 1 2))) (* -28 (/ (* 1 (pow (* 2 3) 1) 1 1 1 (pow (* 720 9/2) 1)) (pow 1 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 27/8) 1)) (pow 1 1)))) 40320) 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 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (/ 3 (pow v 2)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3 (pow (/ 1 v) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]taylor: Taking taylor expansion of (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (/ 3 (pow v 2)) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 3 (pow (/ 1 (- v)) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 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: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* 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 (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 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 (- 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* 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 (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 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 (- 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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (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)) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into 3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 0 1) 1)))) into 9/2 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 9/2) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) -1) into (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) 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 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 1) (+ (* 0 0) (* 0 -1))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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)) (* 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 (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow (exp (/ 3 (pow v 2))) 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 5040) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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)) (* 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 (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow (exp (/ 3 (pow v 2))) 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 40320) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 v) 2))))))) (* (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 v) 2))))))) (pow (/ 1 (/ 1 v)) 2))) into (- (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) -1) into (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) 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 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 1) (+ (* 0 0) (* 0 -1))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 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 (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow (exp (/ 3 (pow v 2))) 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 5040) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 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 (- 0) into 0 * [misc]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 (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow (exp (/ 3 (pow v 2))) 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 40320) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 (- v)) 2))))))) (* (* -1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 (- v)) 2))))))) (pow (/ 1 (/ 1 (- v))) 2))) into (- (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* 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 (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 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 (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* 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 (log (exp (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* v v))) 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 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 (* (* 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into 3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 0 1) 1)))) into 9/2 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 3) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 3) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 9/2) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 v) (/ 1 v)))) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 v) (/ 1 v)))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) 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 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 v) 2))))))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (* 3 (* (/ 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 (log (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (exp (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) into (exp (/ 3 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 3 (pow v 2)))) into (/ 3 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 3 (pow v 2))) into (- (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 (pow v 2))))) into (- 1 (* 3 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 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 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 2) 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 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 6) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 3 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 24) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 3 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 120) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 3 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 3 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 3 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 3 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 3 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 3 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 3 (pow v 2))) 1)))) 720) 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 (- 1 (* 3 (/ 1 (pow v 2))))))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 (- v)) 2))))))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (* 3 (* v v)))) (cbrt (exp (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (8 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 (33 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ v v) v) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (+ (* (+ v v) v) (log (cbrt (exp (* 3 (* v v))))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log (sqrt (pow (exp v) (* 3 v)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (+ (log (sqrt (pow (exp v) (* 3 v)))) (log (sqrt (exp (* 3 (* v v))))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (+ (log 1) (log (exp (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* v v) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* v v) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) (log (exp 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 1)) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 1)) * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* v (* 3 v)))))))) * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (log (exp (* 3 (* v v)))))) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (* (* v v) 3)) (/ (* (sqrt 2) (/ 2 4)) (* 4 4)))) (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (- 1 (* v v)) (* (- 1 (* (* v v) 3)) (/ (* (sqrt 2) (/ 2 4)) (* 4 4)))) (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* v v))))))) * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) (/ (sqrt 2) 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) (/ (sqrt 2) 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))))) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (* v v)) (* (* v v) 4)) 4) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (+ (* (+ 1 (* v v)) (* (* v v) 4)) 4) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (* 4 (+ (* v v) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) (* (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (* 4 (+ (* v v) 1))))) * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* 3 (* v v)) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (+ (* 3 (* v v)) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))) * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* 3 v)) 1)) (+ (* 4 (* v v)) 4)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (sqrt (+ (* v (* 3 v)) 1)) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))) (* (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* v v) 1)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))) (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* v v) 1)))) * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* v v) (* v v)) (* (- (* v v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* v v) (* v v)) (* (- (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (log (exp (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (log (exp (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v v) (+ 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v v) (+ 1 (* (* v v) (* v v))))))) * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (+ 1 (log (exp (* 3 (* v v)))))) (+ 1 (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (log (exp (* 3 (* v v)))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))) (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))) (* 4 (+ 1 (* v v))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))) (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ (/ 4 v) v) (- (sqrt 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) 1) (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ (/ 4 v) v) (- (sqrt 2)))))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ (/ 4 v) v) (- (sqrt 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) 1) (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ (/ 4 v) v) (- (sqrt 2)))))) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- (* v v)))))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- (* v v)))))) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v))))) * * * * [misc]progress: [ 51 / 99 ] 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 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 52 / 99 ] 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 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) 1) (- 1 (* v v)))) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) 4) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt 2) 4) (* (sqrt (- 1 (log (exp (* 3 (* v v)))))) (- 1 (* v v))))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))) (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))))) * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (sqrt 2))) (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))))) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (+ 1 (log (exp (* 3 (* v v)))))))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (log (exp (* 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 (66 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (- (sqrt 2) (* (sqrt 2) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* v (* 3 v)))) (- (sqrt 2) (* (sqrt 2) (* v v)))) 4)) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) 1) (- 1 (* v v)))) * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (log (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (- 1 (* (* v v) 3)))) (log (/ (sqrt 2) 4)))) (- 1 (* v v)))) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (log (exp (* 3 (* v v)))))) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v (* 3 v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v (* 3 v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))))) (- 1 (* v v)))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) * * [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 (252 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v)))))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* 4 (sqrt (+ 1 (log (exp (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* 3 v)) 1)) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (sqrt (+ (* v (* 3 v)) 1)) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (log (exp (* 3 (* v v))))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (log (exp (* 3 (* v v))))))) (cbrt (sqrt (- 1 (log (exp (* 3 (* v v))))))))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (log (exp (* 3 (* v v))))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (log (exp (* 3 (* v v)))))) (cbrt (- 1 (log (exp (* 3 (* v v))))))))) (sqrt (cbrt (- 1 (* (* v 3) v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (log (exp (* 3 (* v v))))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (sqrt (sqrt (- 1 (* (* v 3) v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (log (exp (* 3 (* v v)))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v 3) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v)))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (log (exp (* 3 (* v v))))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (sqrt (sqrt (- 1 (* (* v 3) v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (log (exp (* 3 (* v v)))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v 3) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* (* v 3) v)))) (- 1 (* v v)))) * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 99 ] 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 1) to (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v))))) (* 1 (log (exp (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (log (exp (* 3 (* v v)))) 3)))) (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (log (exp (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (log (exp (* 3 (* v v)))) (log (exp (* 3 (* v v)))))))) (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- 1 (log (exp (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) 4) (- 1 (* v v)))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 89 / 99 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 90 / 99 ] 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 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 91 / 99 ] 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 1 2 1 2 1 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 92 / 99 ] 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 1 2 1 2 1 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 93 / 99 ] 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 1 2 1 2 1 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 94 / 99 ] 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 (67 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (* (+ (- (* (pow v 4) 3/32) (* (* v 5/8) v)) 1/4) (sqrt 2)) * [misc]simplify: Simplified (2) to (λ (v) (* (+ (- (* (pow v 4) 3/32) (* (* v 5/8) v)) 1/4) (sqrt 2))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (* 1/4 (- (sqrt 2) (* (sqrt 2) (* v v)))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (sqrt 2) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (* 1/4 (- (sqrt 2) (* (sqrt 2) (* v v)))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2) to (λ (v) (* (* 1/4 (- (sqrt 2) (* (sqrt 2) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (* (- (- 1/4 (* (pow v 4) 9/32)) (* 3/8 (* v v))) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- (- 1/4 (* (pow v 4) 9/32)) (* 3/8 (* v v))) (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* v v) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 3)) 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 (+ (* 0 0) (+ (* 0 0) (* 1 3))) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 3)))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) 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 (* (* (/ 1 v) (/ 1 v)) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 1 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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)) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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)) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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 (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 1 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 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 (- (+ (* -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (- 0) into 0 * [misc]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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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: [ 2 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* v v) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 3)) 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 (+ (* 0 0) (+ (* 0 0) (* 1 3))) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 3)))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) 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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) 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 (* (* (/ 1 v) (/ 1 v)) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 1 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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)) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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)) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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 (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 1 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 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 (- (+ (* -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (- 0) into 0 * [misc]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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) 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: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* v v)) (- 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]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 (* (- 1 (* v v)) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* v v)) (- 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]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 (* (- 1 (* v v)) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) 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)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/8 (* 1/4 (sqrt 2))) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/32 (sqrt 2)) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [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 (+ (* 1 0) (* 0 1/8)) into 0 * [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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (* 1/4 (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 (+ (* 0 0) (+ (* 0 0) (* 1 3))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3) (+ (* 0 0) (* 0 1))) into (- (* 3/4 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* -1 1/8))) into -1/8 * [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 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 -1) (+ (* 0 0) (* -1 1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -2 1/8))) into -3/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (- (* 3/4 (sqrt 2)))) (+ (* 0 0) (* -3/8 (* 1/4 (sqrt 2))))) into (- (* 3/16 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 3/16 (sqrt 2))) into (- (* 3/16 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 1/8)))) 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 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 (+ (* 1 0) (+ (* 0 -1) (+ (* -1 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -2 0) (* 0 1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 (- (* 3/4 (sqrt 2)))) (+ (* -3/8 0) (* 0 (* 1/4 (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 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 1/8))))) 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 -1) (+ (* 0 0) (* 0 1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 -1/8) (+ (* 0 0) (* 1 1/8))))) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* -3/8 (- (* 3/4 (sqrt 2)))) (+ (* 0 0) (* 3/8 (* 1/4 (sqrt 2))))))) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/8 (sqrt 2)) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/8 (sqrt 2)) (pow v 4)) (+ (* (- (* 3/16 (sqrt 2))) (pow v 2)) (* 1/32 (sqrt 2)))) into (- (+ (* 1/32 (sqrt 2)) (* 3/8 (* (sqrt 2) (pow v 4)))) (* 3/16 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 v) (/ 1 v))) (- 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]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 (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 v) (/ 1 v))) (- 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]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 (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 1) (+ (* 0 0) (* 0 -3))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* 1 1/8))) into 1/8 * [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 (/ 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 1) (+ (* 0 0) (* 1 -1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 1/8) (+ (* 0 0) (* -2 -1/8))) into 3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* 3/8 (* -3/4 (sqrt 2))))) into (- (* 5/16 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/16 (sqrt 2))) into (- (* 5/16 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 1/8)))) 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 (- (+ (* 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 (+ (* -1 0) (+ (* 0 1) (+ (* 1 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/8) (+ (* -2 0) (* 0 -1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 (* 1/4 (sqrt 2))) (+ (* 3/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/8))))) 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 (- (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 1/8) (+ (* 0 0) (* 1 -1/8))))) into -3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 3/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* -3/8 (* -3/4 (sqrt 2))))))) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/8 (sqrt 2)) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/8 (sqrt 2)) (pow (/ 1 (/ 1 v)) 4)) (+ (* (- (* 5/16 (sqrt 2))) (pow (/ 1 (/ 1 v)) 6)) (* (* 3/32 (sqrt 2)) (pow (/ 1 (/ 1 v)) 8)))) into (- (+ (* 3/32 (* (sqrt 2) (pow v 8))) (* 3/8 (* (sqrt 2) (pow v 4)))) (* 5/16 (* (sqrt 2) (pow v 6)))) * [misc]approximate: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 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]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 (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 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]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 (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) 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 (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 1) (+ (* 0 0) (* 0 -3))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* 1 1/8))) into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) into 0 * [misc]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 1) (+ (* 0 0) (* 1 -1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 1/8) (+ (* 0 0) (* -2 -1/8))) into 3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* 3/8 (* -3/4 (sqrt 2))))) into (- (* 5/16 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/16 (sqrt 2))) into (- (* 5/16 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 1/8)))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 1) (+ (* 1 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/8) (+ (* -2 0) (* 0 -1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 (* 1/4 (sqrt 2))) (+ (* 3/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/8))))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 1/8) (+ (* 0 0) (* 1 -1/8))))) into -3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 3/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* -3/8 (* -3/4 (sqrt 2))))))) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/8 (sqrt 2)) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/8 (sqrt 2)) (pow (/ 1 (/ 1 (- v))) 4)) (+ (* (- (* 5/16 (sqrt 2))) (pow (/ 1 (/ 1 (- v))) 6)) (* (* 3/32 (sqrt 2)) (pow (/ 1 (/ 1 (- v))) 8)))) into (- (+ (* 3/32 (* (sqrt 2) (pow v 8))) (* 3/8 (* (sqrt 2) (pow v 4)))) (* 5/16 (* (sqrt 2) (pow v 6)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) 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 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* v v)) (- 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]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 (* (- 1 (* v v)) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) 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)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/8 (* 1/4 (sqrt 2))) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1 (* 1/32 (sqrt 2))) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (log (* 1/32 (sqrt 2))) into (log (* 1/32 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/32 (sqrt 2)))) into (* 1/3 (log (* 1/32 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/32 (sqrt 2))))) into (pow (* 1/32 (sqrt 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) 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 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* v v)) (- 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]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 (* (- 1 (* v v)) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) 3)) 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) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 3) 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)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/8 (* 1/4 (sqrt 2))) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1 (* 1/32 (sqrt 2))) into (* 1/32 (sqrt 2)) * [misc]backup-simplify: Simplify (log (* 1/32 (sqrt 2))) into (log (* 1/32 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/32 (sqrt 2)))) into (* 1/3 (log (* 1/32 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/32 (sqrt 2))))) into (pow (* 1/32 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/32 (sqrt 2)) 1/3) into (pow (* 1/32 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [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 (+ (* 1 0) (* 0 1/8)) into 0 * [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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (* 1/4 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 1/32 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/32 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/32 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/32 (sqrt 2))))) (+ (* (/ (pow 0 1) 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 (+ (* 0 0) (+ (* 0 0) (* 1 3))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3) (+ (* 0 0) (* 0 1))) into (- (* 3/4 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* -1 1/8))) into -1/8 * [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 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 -1) (+ (* 0 0) (* -1 1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -2 1/8))) into -3/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (- (* 3/4 (sqrt 2)))) (+ (* 0 0) (* -3/8 (* 1/4 (sqrt 2))))) into (- (* 3/16 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 3))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 3/16 (sqrt 2)))) (+ (* 0 0) (* -3/2 (* 1/32 (sqrt 2))))) into (- (* 15/64 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/32 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 15/64 (sqrt 2)))) 1)) (pow (* 1/32 (sqrt 2)) 1)))) 2) into -15/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -15/2) (+ (* 0 0) (* 0 (log (* 1/32 (sqrt 2)))))) into -5/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/32 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -5/2 1) 1)))) into (* -5/2 (pow (* (sqrt 2) 1/32) 1/3)) * [misc]backup-simplify: Simplify (* -5/2 (pow (* (sqrt 2) 1/32) 1/3)) into (* -5/2 (pow (* (sqrt 2) 1/32) 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 1/8)))) 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 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 (+ (* 1 0) (+ (* 0 -1) (+ (* -1 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -2 0) (* 0 1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 (- (* 3/4 (sqrt 2)))) (+ (* -3/8 0) (* 0 (* 1/4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (* 3/16 (sqrt 2)))) (+ (* -3/2 0) (* 0 (* 1/32 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/32 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 15/64 (sqrt 2)))) 1)) (pow (* 1/32 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/32 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -15/2) (+ (* 0 0) (* 0 (log (* 1/32 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/32 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -5/2 1) 1)) (* (/ (pow 0 1) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 1/8))))) 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* -1 -1) (+ (* 0 0) (* 0 1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 -1/8) (+ (* 0 0) (* 1 1/8))))) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* -3/8 (- (* 3/4 (sqrt 2)))) (+ (* 0 0) (* 3/8 (* 1/4 (sqrt 2))))))) into (* 3/8 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (+ (* 1 (* 3/8 (sqrt 2))) (+ (* 0 0) (+ (* -3/2 (- (* 3/16 (sqrt 2)))) (+ (* 0 0) (* -9/8 (* 1/32 (sqrt 2))))))) into (* 159/256 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/32 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 15/64 (sqrt 2)))) 1)) (pow (* 1/32 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 15/64 (sqrt 2)))) 2)) (pow (* 1/32 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/32 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 159/256 (sqrt 2))) 1)) (pow (* 1/32 (sqrt 2)) 1)))) 24) into -33/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -33/4) (+ (* 0 0) (+ (* 0 -15/2) (+ (* 0 0) (* 0 (log (* 1/32 (sqrt 2)))))))) into -11/4 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/32 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -5/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -5/2 2) 2)) (* (/ (pow -11/4 1) 1)))) into (* 3/8 (pow (* (sqrt 2) 1/32) 1/3)) * [misc]backup-simplify: Simplify (* 3/8 (pow (* (sqrt 2) 1/32) 1/3)) into (* 3/8 (pow (* (sqrt 2) 1/32) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 3/8 (pow (* (sqrt 2) 1/32) 1/3)) (pow v 4)) (+ (* (* -5/2 (pow (* (sqrt 2) 1/32) 1/3)) (pow v 2)) (pow (* 1/32 (sqrt 2)) 1/3))) into (- (+ (* 3/8 (* (pow (* (sqrt 2) 1/32) 1/3) (pow v 4))) (pow (* 1/32 (sqrt 2)) 1/3)) (* 5/2 (* (pow (* (sqrt 2) 1/32) 1/3) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) 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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 v) (/ 1 v))) (- 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]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 (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt -3) (* 3/32 (sqrt 2))) into (* 3/32 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (log (* 3/32 (* (sqrt 2) (sqrt -3)))) into (log (* 3/32 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) into (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) 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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 v) (/ 1 v))) (- 1 (* (/ 1 v) (/ 1 v)))) (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 v) (/ 1 v))) (- 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]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 (* (- 1 (* (/ 1 v) (/ 1 v))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 v) (/ 1 v)) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) 3)) 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)) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt -3) (* 3/32 (sqrt 2))) into (* 3/32 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (log (* 3/32 (* (sqrt 2) (sqrt -3)))) into (log (* 3/32 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) into (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 0 (* -3/4 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -3) 0) (* 0 (* 3/32 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 1) (+ (* 0 0) (* 0 -3))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* 1 1/8))) into 1/8 * [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 (/ 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 1) (+ (* 0 0) (* 1 -1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 1/8) (+ (* 0 0) (* -2 -1/8))) into 3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* 3/8 (* -3/4 (sqrt 2))))) into (- (* 5/16 (sqrt 2))) * [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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -3) (- (* 5/16 (sqrt 2)))) (+ (* 0 0) (* (/ 1/2 (sqrt -3)) (* 3/32 (sqrt 2))))) into (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 2) into (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3)) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) into (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)))) into (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) into (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 1/8)))) 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 (- (+ (* 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 (+ (* -1 0) (+ (* 0 1) (+ (* 1 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/8) (+ (* -2 0) (* 0 -1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 (* 1/4 (sqrt 2))) (+ (* 3/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -3) 0) (+ (* 0 (- (* 5/16 (sqrt 2)))) (+ (* (/ 1/2 (sqrt -3)) 0) (* 0 (* 3/32 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/8))))) 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 (- (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 1/8) (+ (* 0 0) (* 1 -1/8))))) into -3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 3/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* -3/8 (* -3/4 (sqrt 2))))))) into (* 3/8 (sqrt 2)) * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -3) (* 3/8 (sqrt 2))) (+ (* 0 0) (+ (* (/ 1/2 (sqrt -3)) (- (* 5/16 (sqrt 2)))) (+ (* 0 0) (* (/ -1/8 (pow (sqrt -3) 3)) (* 3/32 (sqrt 2))))))) into (- (* 3/8 (* (sqrt 2) (sqrt -3))) (+ (* 3/256 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 5/32 (/ (sqrt 2) (sqrt -3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 2)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 3/8 (* (sqrt 2) (sqrt -3))) (+ (* 3/256 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 5/32 (/ (sqrt 2) (sqrt -3)))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 24) into (* -1/24 (+ (* 6 (/ 1 (pow (sqrt -3) 4))) 112/3)) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/24 (+ (* 6 (/ 1 (pow (sqrt -3) 4))) 112/3))) (+ (* 0 0) (+ (* 0 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))))) into (- (+ (* 1/12 (/ 1 (pow (sqrt -3) 4))) 14/27)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 2) 2)) (* (/ (pow (- (+ (* 1/12 (/ 1 (pow (sqrt -3) 4))) 14/27)) 1) 1)))) into (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) * [misc]backup-simplify: Simplify (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) into (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v))))))) (pow (/ 1 v) 4)) (+ (* (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) (pow (/ 1 v) 2)) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))))) into (- (+ (* 8/81 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (pow v 4))) (+ (* 1/6 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (* (pow (sqrt -3) 2) (pow v 2)))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))))) (+ (* 10/9 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (pow v 2))) (+ (* 5/27 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (* (pow (sqrt -3) 2) (pow v 4)))) (* 5/72 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 v)))))) (* (pow (sqrt -3) 4) (pow v 4))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) 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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 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]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 (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt -3) (* 3/32 (sqrt 2))) into (* 3/32 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (log (* 3/32 (* (sqrt 2) (sqrt -3)))) into (log (* 3/32 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) into (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))) in v * [misc]taylor: Rewrote expression to (pow (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))))) in v * [misc]taylor: Taking taylor expansion of (* (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) 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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4))) in v * [misc]taylor: Taking taylor expansion of (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (- 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]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 (* (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) (/ (/ 2 4) 4)) 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 (/ (/ 2 4) 4) in v * [misc]taylor: Taking taylor expansion of (/ 2 4) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 2 4) into 1/2 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1/2 4) into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [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]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) 3)) 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))) 3) in v * [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 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (* 1 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -3) into (* -3/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* -1/8 (* -3/4 (sqrt 2))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt -3) (* 3/32 (sqrt 2))) into (* 3/32 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (log (* 3/32 (* (sqrt 2) (sqrt -3)))) into (log (* 3/32 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) into (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) * [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 (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) 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 (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/8)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 0 (* -3/4 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -3) 0) (* 0 (* 3/32 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 1) (+ (* 0 0) (* 0 -3))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)))) 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 0) (+ (* 0 0) (* 1 1/8))) into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) into 0 * [misc]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 1) (+ (* 0 0) (* 1 -1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 1/8) (+ (* 0 0) (* -2 -1/8))) into 3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* 3/8 (* -3/4 (sqrt 2))))) into (- (* 5/16 (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 (- (+ (* -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 (+ (* 1 0) (+ (* 0 0) (* 0 3))) 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 -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -3) (- (* 5/16 (sqrt 2)))) (+ (* 0 0) (* (/ 1/2 (sqrt -3)) (* 3/32 (sqrt 2))))) into (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 2) into (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3)) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) into (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)))) into (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) into (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 1/8)))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 1) (+ (* 1 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/8) (+ (* -2 0) (* 0 -1/8)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 (* 1/4 (sqrt 2))) (+ (* 3/8 0) (* 0 (* -3/4 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -3) 0) (+ (* 0 (- (* 5/16 (sqrt 2)))) (+ (* (/ 1/2 (sqrt -3)) 0) (* 0 (* 3/32 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/2 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/8 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/8))))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -1))))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -2 1/8) (+ (* 0 0) (* 1 -1/8))))) into -3/8 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 3/8 (* 1/4 (sqrt 2))) (+ (* 0 0) (* -3/8 (* -3/4 (sqrt 2))))))) into (* 3/8 (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 (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -3) (* 3/8 (sqrt 2))) (+ (* 0 0) (+ (* (/ 1/2 (sqrt -3)) (- (* 5/16 (sqrt 2)))) (+ (* 0 0) (* (/ -1/8 (pow (sqrt -3) 3)) (* 3/32 (sqrt 2))))))) into (- (* 3/8 (* (sqrt 2) (sqrt -3))) (+ (* 3/256 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 5/32 (/ (sqrt 2) (sqrt -3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 3/64 (/ (sqrt 2) (sqrt -3))) (* 5/16 (* (sqrt 2) (sqrt -3))))) 2)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 3/8 (* (sqrt 2) (sqrt -3))) (+ (* 3/256 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 5/32 (/ (sqrt 2) (sqrt -3)))))) 1)) (pow (* 3/32 (* (sqrt 2) (sqrt -3))) 1)))) 24) into (* -1/24 (+ (* 6 (/ 1 (pow (sqrt -3) 4))) 112/3)) * [misc]backup-simplify: Simplify (+ (* (- 9) (log v)) (log (* 3/32 (* (sqrt 2) (sqrt -3))))) into (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/24 (+ (* 6 (/ 1 (pow (sqrt -3) 4))) 112/3))) (+ (* 0 0) (+ (* 0 (* 1/2 (- (/ 1 (pow (sqrt -3) 2)) 20/3))) (+ (* 0 0) (* 0 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))))) into (- (+ (* 1/12 (/ 1 (pow (sqrt -3) 4))) 14/27)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9) 2) 2)) (* (/ (pow (- (+ (* 1/12 (/ 1 (pow (sqrt -3) 4))) 14/27)) 1) 1)))) into (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) * [misc]backup-simplify: Simplify (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) into (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* (- 8/81 (+ (* 5/27 (/ 1 (pow (sqrt -3) 2))) (* 5/72 (/ 1 (pow (sqrt -3) 4))))) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 (- v)))))))) (pow (/ 1 (- v)) 4)) (+ (* (* (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 (- v))))))) (- (* 1/6 (/ 1 (pow (sqrt -3) 2))) 10/9)) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ 1 (- v))))))))) into (- (+ (* 8/81 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (pow v 4))) (+ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (* 1/6 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (* (pow (sqrt -3) 2) (pow v 2)))))) (+ (* 5/72 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (* (pow (sqrt -3) 4) (pow v 4)))) (+ (* 5/27 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (* (pow (sqrt -3) 2) (pow v 4)))) (* 10/9 (/ (exp (* 1/3 (- (log (* 3/32 (* (sqrt 2) (sqrt -3)))) (* 9 (log (/ -1 v)))))) (pow v 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 20 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 21 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 22 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 23 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 24 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 25 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 26 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 27 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 28 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (pow (* (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) 1)))) * * * * [misc]progress: [ 29 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4)))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* (* v v) 3))) (+ (log (/ (/ 2 4) 4)) (log (- 1 (* v v))))) (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (+ (log (- 1 (* (* v v) 3))) (+ (log (/ (/ 2 4) 4)) (log (- 1 (* v v))))) (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (- 1 (* v v))))))))) * * * * [misc]progress: [ 31 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4)))) (log (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* 3 v) v)))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (+ (log (/ (/ 2 4) 4)) (log (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* 3 v) v)))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (+ (log (/ (/ 2 4) 4)) (log (- 1 (* v v)))))))))) * * * * [misc]progress: [ 32 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (- 1 (* (* v v) 3)))) (+ (log (* (- 1 (* v v)) (/ 2 (* 4 4)))) (log (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (- 1 (* (* v v) 3)))) (+ (log (* (- 1 (* v v)) (/ 2 (* 4 4)))) (log (/ (sqrt 2) 4)))))))) * * * * [misc]progress: [ 33 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (log (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v (* 3 v))))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v (* 3 v))))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ 2 (* 4 4)))))))))) * * * * [misc]progress: [ 34 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4)))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (+ (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (- 1 (* v v)))) (+ (log (- 1 (* 3 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (- 1 (* v v)))) (+ (log (- 1 (* 3 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4))))))))) * * * * [misc]progress: [ 35 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4)))) (log (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* v v) 3)))) (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (log (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* v v) 3)))) (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (+ (log (- 1 (* v v))) (log (/ (/ 2 4) 4))))))))) * * * * [misc]progress: [ 36 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (- 1 (* (* v v) 3)))) (+ (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (+ (log (- 1 (* v v))) (log (- 1 (* (* v v) 3)))) (+ (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ 2 (* 4 4)))))))))) * * * * [misc]progress: [ 37 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (- 1 (* v v)) (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (log (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (+ (log (- (/ (sqrt 2) 4) (* (* v (* 3 v)) (/ (sqrt 2) 4)))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (log (- (/ (sqrt 2) 4) (* (* v (* 3 v)) (/ (sqrt 2) 4)))) (+ (+ (log (- 1 (* v v))) (log (- 1 (* v v)))) (log (* (- 1 (* v v)) (/ (/ 2 4) 4))))))))) * * * * [misc]progress: [ 38 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* (* 3 v) v))) (log (/ (sqrt 2) 4))) (log (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (+ (log (- 1 (* (* 3 v) v))) (log (/ (sqrt 2) 4))) (log (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))))))))) * * * * [misc]progress: [ 39 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (log (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (+ (log (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (log (* (- 1 (* v (* v 3))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (exp (+ (log (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (log (* (- 1 (* v (* v 3))) (/ (sqrt 2) 4)))))))) * * * * [misc]progress: [ 40 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (/ (/ 2 4) 4)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) 3))) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* 3 (* v v))) (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (/ 2 (* 4 4))) (- 1 (* 3 (* v v))))) (* (* (pow (- 1 (* v v)) (+ 3 1)) (pow (- 1 (* v v)) (+ 3 1))) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (* (/ 2 (* 4 4)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (* (- 1 (* 3 (* v v))) (- 1 (* 3 (* v v)))) (* (* (/ (sqrt 2) 4) (/ 2 (* 4 4))) (- 1 (* 3 (* v v))))) (* (* (pow (- 1 (* v v)) (+ 3 1)) (pow (- 1 (* v v)) (+ 3 1))) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (* (/ 2 (* 4 4)) (/ 2 (* 4 4)))))))))) * * * * [misc]progress: [ 43 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (/ (/ 2 4) 4)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (* (* (* (* (/ 2 (* 4 4)) (/ 2 (* 4 4))) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (pow (- 1 (* v v)) (+ 3 1)) (pow (- 1 (* v v)) (+ 3 1)))) (pow (* (/ (sqrt 2) 4) (- 1 (* (* 3 v) v))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (* (* (/ 2 (* 4 4)) (/ 2 (* 4 4))) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (pow (- 1 (* v v)) (+ 3 1)) (pow (- 1 (* v v)) (+ 3 1)))) (pow (* (/ (sqrt 2) 4) (- 1 (* (* 3 v) v))) 3)))))) * * * * [misc]progress: [ 44 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) 3))) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4))) (pow (- 1 (* 3 (* v v))) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4))) (pow (- 1 (* 3 (* v v))) 3))))))) * * * * [misc]progress: [ 45 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (* (* (pow (* (/ (/ 2 4) 4) (- 1 (* v v))) 3) (pow (* (- 1 (* v v)) (- 1 (* v v))) 3)) (pow (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (pow (* (/ (/ 2 4) 4) (- 1 (* v v))) 3) (pow (* (- 1 (* v v)) (- 1 (* v v))) 3)) (pow (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) 3)))))) * * * * [misc]progress: [ 46 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (/ (/ 2 4) 4)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) 3))) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (385 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (/ 2 4) 4) (/ (/ 2 4) 4))) (pow (* (- 1 (* v v)) (- 1 (* v v))) (+ 3 1))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3)))) (* (- 1 (* v (* v 3))) (- 1 (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (/ 2 4) 4) (/ (/ 2 4) 4))) (pow (* (- 1 (* v v)) (- 1 (* v v))) (+ 3 1))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3)))) (* (- 1 (* v (* v 3))) (- 1 (* v (* v 3)))))))))) * * * * [misc]progress: [ 47 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (/ (/ 2 4) 4)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (* (pow (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4)) 3) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (/ 2 4) 4) (/ (/ 2 4) 4))) (pow (* (- 1 (* v v)) (- 1 (* v v))) (+ 3 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (pow (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4)) 3) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (/ 2 4) 4) (/ (/ 2 4) 4))) (pow (* (- 1 (* v v)) (- 1 (* v v))) (+ 3 1)))))))) * * * * [misc]progress: [ 48 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) 3))) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (* (* (pow (- 1 (* (* 3 v) v)) 3) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (pow (- 1 (* (* 3 v) v)) 3) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))))))))) * * * * [misc]progress: [ 49 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (* (* (pow (* (/ 2 (* 4 4)) (- 1 (* v v))) 3) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (pow (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (* (pow (* (/ 2 (* 4 4)) (- 1 (* v v))) 3) (* (pow (- 1 (* v v)) 3) (pow (- 1 (* v v)) 3))) (pow (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) 3)))))) * * * * [misc]progress: [ 50 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) 3))) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (pow (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) 3) (* (* (- 1 (* (* 3 v) v)) (- 1 (* (* 3 v) v))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (pow (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) 3) (* (* (- 1 (* (* 3 v) v)) (- 1 (* (* 3 v) v))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v))))))))) * * * * [misc]progress: [ 51 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (pow (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) 3) (pow (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (cbrt (* (pow (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) 3) (pow (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) 3)))))) * * * * [misc]progress: [ 52 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- 3) (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- 3) (* v v)) (sqrt 2))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))))))) * * * * [misc]progress: [ 56 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ (* v v) 1) (* (* v v) (* v v))) 3) (* 4 (+ 4 (* (* v 4) (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (pow (+ (+ (* v v) 1) (* (* v v) (* v v))) 3) (* 4 (+ 4 (* (* v 4) (* v 3))))))))) * * * * [misc]progress: [ 57 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- 3) (* v v))) (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- 3) (* v v))) (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))))))) * * * * [misc]progress: [ 58 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 3) (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 3) (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 59 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 60 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (* (* (+ (* v v) 1) (* 4 4)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (* (* (+ (* v v) 1) (* 4 4)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))))) * * * * [misc]progress: [ 61 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) 3) 1) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) (* 4 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* (* v v) 3) 1) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) (* 4 4)))))))) * * * * [misc]progress: [ 62 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))) (+ (* v v) 1)) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))) (+ (* v v) 1)) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)))))) * * * * [misc]progress: [ 63 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (/ (* (/ 2 4) (sqrt 2)) 4) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (/ (* (/ 2 4) (sqrt 2)) 4) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (+ 4 (* (* v v) 4)) (+ (* (* v v) 3) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (/ (* (/ 2 4) (sqrt 2)) 4) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (* (+ 4 (* (* v v) 4)) (+ (* (* v v) 3) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 64 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* 4 4) (+ (* v v) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) (* (* (* 4 4) (+ (* v v) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 65 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (* (pow (* v v) 3) (* (- 3) (* 3 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (+ (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (* (pow (* v v) 3) (* (- 3) (* 3 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))))))) * * * * [misc]progress: [ 66 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (+ 4 (* (* v 4) (* 3 v))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ 4 (* (* v 4) (* 3 v))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 67 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 68 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* 3 v) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 69 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 70 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (sqrt 2) (* (* (sqrt 2) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v))))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (sqrt 2) (* (* (sqrt 2) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v))))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* (* 3 v) (* 3 v)) (* (* v v) 4))) (pow (+ (* (* v v) (* v v)) (+ (* v v) 1)) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* (* 3 v) (* 3 v)) (* (* v v) 4))) (pow (+ (* (* v v) (* v v)) (+ (* v v) 1)) 3)))))) * * * * [misc]progress: [ 71 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 3) (* v v)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (+ (* (* 4 3) (* v v)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 72 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* v 3))) (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* v 3))) (* (* v (* v 3)) (* v (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (* (pow (+ (* (* v v) (* v v)) (+ (* v v) 1)) 3) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (pow (+ (* (* v v) (* v v)) (+ (* v v) 1)) 3) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))))) * * * * [misc]progress: [ 73 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* (* 3 v) v)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (+ 1 (* (* 3 v) v)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 74 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v)))) (pow (- 1 (pow (* v v) 3)) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v)))) (pow (- 1 (pow (* v v) 3)) 3)) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v)))) (pow (- 1 (pow (* v v) 3)) 3)) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 75 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* v 3))) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* v 3))) (* (* (* v 3) v) (* (* v 3) v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* (+ (* v v) 1) 4) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* (+ (* v v) 1) 4) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))))))))) * * * * [misc]progress: [ 76 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 3) (* v v)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (+ (* v v) 1) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (+ (* (* 4 3) (* v v)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (* (+ (* v v) 1) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 77 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) (- v))) (* (* v (* v 3)) (* v (* v 3))))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) (- v))) (* (* v (* v 3)) (* v (* v 3))))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (+ (* v v) 1) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* v v) 1) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))))))) * * * * [misc]progress: [ 78 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ (* v v) 1) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 79 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* 4 (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* v 3))))) (* (* (* 4 (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 80 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (385 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* v v) 1)) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* v v) 1)) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))))))) * * * * [misc]progress: [ 81 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* v v) 1) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* v 4) (* v 3)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ (* v v) 1) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* v 4) (* v 3)) 4))))))) * * * * [misc]progress: [ 82 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* v v) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))))))) * * * * [misc]progress: [ 83 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) 3) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (+ (* (* v v) 3) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 84 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v 3) v)) (sqrt 2)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ 2 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v 3) v)) (sqrt 2)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ 2 4))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v 3) v)) (sqrt 2)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ 2 4))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 85 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* v v) 1)) (* (* (* 4 4) (+ (* v v) 1)) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* v v) 1)) (* (* (* 4 4) (+ (* v v) 1)) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))))))) * * * * [misc]progress: [ 86 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (- 1 (* (* v v) (* v v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))) (* (+ (* (* 4 3) (* v v)) 4) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (- 1 (* (* v v) (* v v))))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))) (* (+ (* (* 4 3) (* v v)) 4) 4)))))) * * * * [misc]progress: [ 87 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* (* v v) (* v 3)) (- (* v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* 4 (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* 4 (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))))))) * * * * [misc]progress: [ 88 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* 4 (* (+ (* v v) 1) (+ (* v v) 1))) (* (+ (* (* 3 v) v) 1) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* 4 (* (+ (* v v) 1) (+ (* v v) 1))) (* (+ (* (* 3 v) v) 1) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 89 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v 3) v)) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v 3) v)) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* 4 4) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v 3) v)) (sqrt 2))) (* (* 4 4) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 90 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (- 1 (* v v)) 2))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (- 1 (* v v)) 2))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (* 4 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (* 4 4)))))))) * * * * [misc]progress: [ 91 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) 3) 1) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (* 4 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (* (+ (* (* v v) 3) 1) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) (* 4 4)))))))) * * * * [misc]progress: [ 92 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* 4 (* v v)))) (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* 4 (* v v)))) (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))))))) * * * * [misc]progress: [ 93 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 3 v) v) 1) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* (* 3 v) v) 1) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 94 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (* 4 4)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* v v) 1) (* 4 4)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 95 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ (- 1 (pow (* v v) 3)) (* (/ 4 2) 4))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ (- 1 (pow (* v v) 3)) (* (/ 4 2) 4))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 96 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) 3) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (* (+ (* (* v v) 3) 1) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 97 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 98 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* v v) 3) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* (* v v) 3) 1))))))) * * * * [misc]progress: [ 99 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 100 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))) (sqrt 2))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (+ 4 (* (* 4 3) (* v v))) (* (* 4 (* v v)) (* (* v 3) (* v 3)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 4 (* (* 4 3) (* v v))) (* (* 4 (* v v)) (* (* v 3) (* v 3)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 101 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 3 v) v) 1) (* 4 (+ (* v v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (* (+ (* (* 3 v) v) 1) (* 4 (+ (* v v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 102 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 103 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 104 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* 4 (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (- 1 (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* 4 (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 105 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (+ 1 (* v v))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (+ 1 (* v v))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4))))))) * * * * [misc]progress: [ 106 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 4 (* (* 4 v) (* v 3)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 4 (* (* 4 v) (* v 3)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))))))) * * * * [misc]progress: [ 107 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* v v)) (- (* 3 v)))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* v v)) (- (* 3 v)))) (/ (sqrt 2) 4))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* v v)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (* (+ 1 (* v v)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 108 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v)))) (* (+ (* 3 (* v v)) 1) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 4) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v)))) (* (+ (* 3 (* v v)) 1) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 109 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 4)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 4)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 110 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) (* (* 4 4) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) (* (* 4 4) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 111 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* 4 3) (* v v)) 4) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* 4 3) (* v v)) 4) 4)))))) * * * * [misc]progress: [ 112 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* v v)) (- (* 3 v)))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* v v)) (- (* 3 v)))) (/ (sqrt 2) 4))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 113 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (+ 1 (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (+ 1 (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 114 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (* (* (* 4 4) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (+ 1 (* v v)) (* (* (* 4 4) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 115 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 4 (* (- 1 (* v v)) 2))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 4 (* (- 1 (* v v)) 2))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (* (* (* 4 (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* v v) (* 3 4)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* 4 (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* v v) (* 3 4)) 4))))))) * * * * [misc]progress: [ 116 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 3) (* v v)) 4) (+ 1 (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (+ (* (* 4 3) (* v v)) 4) (+ 1 (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 117 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))))) * * * * [misc]progress: [ 118 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ (sqrt 2) 4) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ (sqrt 2) 4) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (* (+ (* (* 3 v) v) 1) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ (sqrt 2) 4) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (* (+ (* (* 3 v) v) 1) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 119 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (+ 1 (* v v)) (* 4 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 v) v))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (+ 1 (* v v)) (* 4 4))))))) * * * * [misc]progress: [ 120 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (* (* (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ 1 (* v v)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ 1 (* v v)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 121 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* 4 v) (* v 3)) 4) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* 4 v) (* v 3)) 4) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 122 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))))) * * * * [misc]progress: [ 123 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (/ 2 (* 4 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (/ 2 (* 4 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ 1 (* v v)) (+ (* (* 3 v) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (/ 2 (* 4 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ 1 (* v v)) (+ (* (* 3 v) v) 1))))))) * * * * [misc]progress: [ 124 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 125 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* 4 (* v v)) (* (* v 3) (* v 3)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* 4 (* v v)) (* (* v 3) (* v 3)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 126 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* 4 3) (* v v)) 4)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* 4 3) (* v v)) 4)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 127 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* 3 v) (- v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (* 3 v) (- v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 128 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 3 v) v) 1) (* (+ 1 (* v v)) (+ 1 (* v v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ (* (* 3 v) v) 1) (* (+ 1 (* v v)) (+ 1 (* v v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 129 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) 4) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 130 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* 4 4)) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* 4 4)) (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 131 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (* (+ (* (* 4 v) (* v 3)) 4) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (* (+ (* (* 4 v) (* v 3)) 4) 4)))))) * * * * [misc]progress: [ 132 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4)))))) * * * * [misc]progress: [ 133 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* v 3) v) 1) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (+ 1 (* v v)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (* (+ (* (* v 3) v) 1) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 134 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* 4 4) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* 4 4) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 135 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ 1 (* v v)) (* 4 4)) (* (+ 1 (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ 1 (* v v)) (* 4 4)) (* (+ 1 (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 136 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) (+ 4 (* (* 3 4) (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ 1 (* v v)) (+ 4 (* (* 3 4) (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4)))))) * * * * [misc]progress: [ 137 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (sqrt 2) 4) (* (* v 3) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (/ (sqrt 2) 4) (* (* v 3) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))) (* (+ 4 (* (* v v) 4)) (* (+ 1 (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v))) (* (+ 4 (* (* v v) 4)) (* (+ 1 (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 138 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 v) (* 3 v))) (pow (+ 1 (* v v)) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (* (+ 4 (* (* 4 v) (* 3 v))) (pow (+ 1 (* v v)) 3)))))) * * * * [misc]progress: [ 139 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))) (pow (- 1 (* (* v v) (* v v))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))) (pow (- 1 (* (* v v) (* v v))) 3)) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (* (+ (* 4 4) (* (* 4 v) (* 4 v))) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))) (pow (- 1 (* (* v v) (* v v))) 3)) (* (+ (* 4 4) (* (* 4 v) (* 4 v))) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 140 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) 4) 4) (+ (* (* v v) 4) 4)) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) 4) 4) (+ (* (* v v) 4) 4)) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 141 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 1 (* (* v v) 3))) (* 4 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 1 (* (* v v) 3))) (* 4 4)))))) * * * * [misc]progress: [ 142 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4)))))) * * * * [misc]progress: [ 143 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 4) (* v v)) 4) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (+ (* (* 3 4) (* v v)) 4) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 144 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 v) v)) (+ 4 (* (* 4 v) v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* 3 (* v v))))) (* (+ 4 (* (* 4 v) v)) (+ 4 (* (* 4 v) v))))))) * * * * [misc]progress: [ 145 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (* (/ 4 2) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (pow v 3) (pow v 3))) (* (/ 4 2) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v v) 3) (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* (* v v) (* 3 4)) (* 3 (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 4 (* (* v v) (* 3 4))) (* (* (* v v) (* 3 4)) (* 3 (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 146 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (/ 2 (* 4 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ 2 (* 4 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* 4 v) (* v 3)) 4)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ 2 (* 4 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* 4 v) (* v 3)) 4)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 147 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4)))) (* (* (/ (/ 2 4) 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4)))) (* (* (/ (/ 2 4) 4) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 148 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (* 3 (* v v)) 1)) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ (* 3 (* v v)) 1)) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 149 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (* (+ 1 (* v v)) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2))) (* (* (+ 1 (* v v)) 4) (* (+ 1 (* v v)) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 150 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))) (* (* 4 (+ 1 (* v v))) (* (+ 1 (* v v)) (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))) (* (* 4 (+ 1 (* v v))) (* (+ 1 (* v v)) (+ 1 (* v v))))))))) * * * * [misc]progress: [ 151 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (pow (+ (* v v) 1) 3) (+ (* (* v 3) (* 4 v)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (pow (+ (* v v) 1) 3) (+ (* (* v 3) (* 4 v)) 4)))))) * * * * [misc]progress: [ 152 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (pow (+ 1 (* v v)) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (pow (+ 1 (* v v)) 3)))))) * * * * [misc]progress: [ 153 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* 3 v) v)) (pow (+ (* v v) 1) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (+ 1 (* (* 3 v) v)) (pow (+ (* v v) 1) 3)))))) * * * * [misc]progress: [ 154 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (+ 4 (* 4 (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (+ 4 (* 4 (* v v))) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 155 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2)))) (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2)))) (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 156 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (* (* v v) (* 3 4)) 4) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (* (* v v) (* 3 4)) 4) 4)))))) * * * * [misc]progress: [ 157 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) 4))))) * * * * [misc]progress: [ 158 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 v) (* 3 v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 v) (* 3 v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 159 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (/ 2 4))) (* (- 1 (* 3 (* v v))) (* (sqrt 2) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (/ 2 4))) (* (- 1 (* 3 (* v v))) (* (sqrt 2) (- 1 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (+ 4 (* (+ (* v v) 1) (* 4 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (/ 2 4))) (* (- 1 (* 3 (* v v))) (* (sqrt 2) (- 1 (* v v))))) (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (+ 4 (* (+ (* v v) 1) (* 4 (* v v))))))))) * * * * [misc]progress: [ 160 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))))) * * * * [misc]progress: [ 161 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (- 1 (* v v))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (- 1 (* v v))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* 4 (+ 4 (* (* v v) (* 4 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (- 1 (* v v))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (* 4 (+ 4 (* (* v v) (* 4 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 162 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (sqrt 2) 4) (* 3 (* v v))) (* (* 3 (* v v)) (* (* v v) (- 3)))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (/ (sqrt 2) 4) (* 3 (* v v))) (* (* 3 (* v v)) (* (* v v) (- 3)))) (/ (sqrt 2) 4)) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v (* v 4)) 4)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v (* v 4)) 4)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 163 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ 4 (* (* 4 3) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ 4 (* (* 4 3) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 164 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3))))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))))))) * * * * [misc]progress: [ 165 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2)))) (/ (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 4 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (sqrt 2)))) (/ (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 4 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 166 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 167 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (+ (* (* (* (* v 3) (* v 3)) (- (* v v))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (+ (* (* (* (* v 3) (* v 3)) (- (* v v))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))))) * * * * [misc]progress: [ 168 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 169 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (pow (* v v) 3)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (pow (* v v) 3)))) (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 170 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* (- 3) (* v v))) (* (* 3 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* (- 3) (* v v))) (* (* 3 (* v v)) (sqrt 2))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))))))) * * * * [misc]progress: [ 171 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 172 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 173 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 174 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 175 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v 3) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v 3) (- v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 176 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 177 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* v 3))) (* (* 3 (* v v)) (* 3 (* v v)))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* v 3))) (* (* 3 (* v v)) (* 3 (* v v)))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 178 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 179 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* v 3))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v (* v 3))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v (* v 3))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 180 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- 3) (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- 3) (* v v)) (sqrt 2))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1)) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) (* 4 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1)) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) (* 4 4)))))))) * * * * [misc]progress: [ 181 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ 4 (* (* v 4) (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ 4 (* (* v 4) (* v 3))))))))) * * * * [misc]progress: [ 182 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4)) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4)) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* v v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))))) * * * * [misc]progress: [ 183 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 184 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (+ (* 4 4) (* (* v 4) (* v 4))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* 3 v) v))) (sqrt 2)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (+ (* 4 4) (* (* v 4) (* v 4))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 185 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v v) (- 3)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v v) (- 3)) (sqrt 2))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (+ 4 (* 4 (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ 4 (* 4 (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 186 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* v v)))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (+ (* 4 4) (* (* (* v v) 3) (* 4 4))) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* v v)))) (* (+ (* 4 4) (* (* (* v v) 3) (* 4 4))) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 187 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 188 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 4) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 4) (* v v)))))))) * * * * [misc]progress: [ 189 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v (* v 3))))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v (* v 3))))) (sqrt 2)) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) 4)) (+ 4 (* (* v v) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v (* v 3))))) (sqrt 2)) (* (+ 4 (* (* v v) 4)) (+ 4 (* (* v v) 4))))))) * * * * [misc]progress: [ 190 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (sqrt 2))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))))))) * * * * [misc]progress: [ 191 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ 2 4) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ 2 4) (sqrt 2))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ 2 4) (sqrt 2))) (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)))))) * * * * [misc]progress: [ 192 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)))))) * * * * [misc]progress: [ 193 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))))))) * * * * [misc]progress: [ 194 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (+ 1 (* v v)) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (* 4 4) (* (* v 4) (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (+ (* 4 4) (* (* v 4) (* v 4))))))) * * * * [misc]progress: [ 195 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))))))) * * * * [misc]progress: [ 196 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 197 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- 3) (* v v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- 3) (* v v)) (/ (sqrt 2) 4))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 198 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 199 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) 3)))) (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) 3)))) (sqrt 2)) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) 3)))) (sqrt 2)) (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 200 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (- (* v v))) (* (* 3 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (- (* v v))) (* (* 3 (* v v)) (sqrt 2))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 201 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))))))) * * * * [misc]progress: [ 202 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 203 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 204 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* 3 v) v)) (sqrt 2)) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* 3 v) v)) (sqrt 2)) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (- 1 (* (* v v) (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* 3 v) v)) (sqrt 2)) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (- 1 (* (* v v) (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 205 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (sqrt 2)))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (sqrt 2) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (sqrt 2)))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 206 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (* (* v v) (* 3 4)) 4) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (* (+ (* (* v v) (* 3 4)) 4) 4)))))) * * * * [misc]progress: [ 207 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) (- v)) (* v (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) (- v)) (* v (* v 3))) (* (* v (* v 3)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) 4))))) * * * * [misc]progress: [ 208 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 v) (* 3 v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ 4 (* (* 4 v) (* 3 v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 209 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (+ 4 (* (+ (* v v) 1) (* 4 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))))) (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (+ 4 (* (+ (* v v) 1) (* 4 (* v v))))))))) * * * * [misc]progress: [ 210 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (sqrt 2))) (sqrt 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))))) * * * * [misc]progress: [ 211 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* 4 (+ 4 (* (* v v) (* 4 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* 4 (+ 4 (* (* v v) (* 4 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 212 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (sqrt 2) 4) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v)))) (/ (sqrt 2) 4)) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (/ (sqrt 2) 4) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v)))) (/ (sqrt 2) 4)) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v (* v 4)) 4)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v (* v 4)) 4)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 213 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ 4 (* (* 4 3) (* v v))) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (+ 4 (* (* 4 3) (* v v))) (+ (* v v) 1))))))) * * * * [misc]progress: [ 214 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* v v)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (* 4 4) (+ (* v v) 1))))))) * * * * [misc]progress: [ 215 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (* (pow (* v v) 3) (* (- 3) (* 3 3))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (+ (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (* (pow (* v v) 3) (* (- 3) (* 3 3))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 216 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (sqrt 2)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 217 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (* v (* v 3)) (* v (* v 3))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))))) * * * * [misc]progress: [ 218 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)) (* (/ (sqrt 2) 4) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)) (* (/ (sqrt 2) 4) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)) (* (/ (sqrt 2) 4) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 219 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 220 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (sqrt 2))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))))))) * * * * [misc]progress: [ 221 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 222 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 223 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 224 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 225 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* v 3))) (* (* v (* v 3)) (* (* v 3) (- v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 226 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (* (pow v 3) (pow v 3)))) (* (sqrt 2) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (* (pow v 3) (pow v 3)))) (* (sqrt 2) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (* (pow v 3) (pow v 3)))) (* (sqrt 2) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))))) (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 227 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* 3 (* v v))) (* (- (* v v)) (* (* v 3) (* v 3)))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (/ (sqrt 2) 4) (* 3 (* v v))) (* (- (* v v)) (* (* v 3) (* v 3)))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 228 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (/ (sqrt 2) 4))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 229 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 230 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* 3 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* 3 (* v v)) (sqrt 2))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1)) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) (* 4 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1)) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) (* 4 4)))))))) * * * * [misc]progress: [ 231 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ 4 (* (* v 4) (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (* 4 (+ 4 (* (* v 4) (* v 3))))))))) * * * * [misc]progress: [ 232 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* v (- v)) (* (* v 3) (* v 3)))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (/ (sqrt 2) 4) (* (* v 3) v)) (* (* v (- v)) (* (* v 3) (* v 3)))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))))) * * * * [misc]progress: [ 233 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ 4 (* (* 4 3) (* v v))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 234 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* v v)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (+ (* 4 4) (* (* v 4) (* v 4))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* v v)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) (* (+ (* 4 4) (* (* v 4) (* v 4))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 235 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (+ 4 (* 4 (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ 4 (* 4 (* v v))) (+ 4 (* 4 (* v v)))) (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 236 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 2 4)) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 2 4)) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (+ (* 4 4) (* (* (* v v) 3) (* 4 4))) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 2 4)) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (+ (* 4 4) (* (* (* v v) 3) (* 4 4))) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 237 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* (* v v) (* 3 v)) (- (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4)))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* (* v v) (* 3 v)) (- (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4)))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 238 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 4) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 4) (* v v)))))))) * * * * [misc]progress: [ 239 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) 4)) (+ 4 (* (* v v) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (- 1 (* 3 (* v v)))) (* (+ 4 (* (* v v) 4)) (+ 4 (* (* v v) 4))))))) * * * * [misc]progress: [ 240 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (- 3) (* v v)) (sqrt 2))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))))))) * * * * [misc]progress: [ 241 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)))))) * * * * [misc]progress: [ 242 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)))))) * * * * [misc]progress: [ 243 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))))))) * * * * [misc]progress: [ 244 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (* 4 4) (* (* v 4) (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* 3 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* 4 4) (* (* v 4) (* v 4))))))) * * * * [misc]progress: [ 245 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v 3) (- v))) (* (* (* v 3) v) (* (* v 3) v))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))))))) * * * * [misc]progress: [ 246 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 247 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- v) (* v 3)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* v (* v 3)) (* v (* v 3))) (* (* (- v) (* v 3)) (/ (sqrt 2) 4))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 248 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 249 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (sqrt 2) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (sqrt 2) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (sqrt 2) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 250 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* 3 v) (- v)) (sqrt 2))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 251 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))))))) * * * * [misc]progress: [ 252 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (- 3) (* v v))) (* (* (* v v) 3) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (- 3) (* v v))) (* (* (* v v) 3) (/ (sqrt 2) 4))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 253 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 254 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 255 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)) (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)) (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)) (* (* 4 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 256 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 257 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (* (- 1 (* v v)) (/ 2 4)))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) (* v v)) (- (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (* (- 1 (* v v)) (/ 2 4)))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) (* v v)) (- (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))))) * * * * [misc]progress: [ 258 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (+ (* (* v v) (* 4 3)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 259 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* 4 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 260 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (* v v) (* v v))) 2) (/ 4 (* (- 1 (* v v)) (- 1 (* v v))))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (- 1 (* (* v v) (* v v))) 2) (/ 4 (* (- 1 (* v v)) (- 1 (* v v))))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* v v) 1) (* 4 4))))))) * * * * [misc]progress: [ 261 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2))) (* (+ 4 (* (* v v) (* 3 4))) (+ (* (* v 4) v) 4)))))) * * * * [misc]progress: [ 262 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4)))) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* 3 (* v v)) (/ (sqrt 2) 4)))) (* (* (/ 2 4) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v))) (+ (* 4 (* v v)) 4)))))) * * * * [misc]progress: [ 263 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (+ 1 (* v (* 3 v))) (+ 4 (* (* v v) 4))))))) * * * * [misc]progress: [ 264 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (* (* (+ 1 (* v v)) 4) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) 4) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (* 4 4) (* (* v 4) (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (+ (* 4 4) (* (* v 4) (* v 4))))))) * * * * [misc]progress: [ 265 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))) (* 4 (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* 4 (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (+ (* (* (* v v) (* 3 4)) (* (* v v) (* 3 4))) (* 4 (+ (* (* v v) (* 3 4)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))) (+ (* (* (* v v) (* 3 4)) (* (* v v) (* 3 4))) (* 4 (+ (* (* v v) (* 3 4)) 4))))))) * * * * [misc]progress: [ 266 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (* 4 (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* 4 (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 v) (* 4 v)) 4) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (* (+ (* (* 3 v) (* 4 v)) 4) 4))))) * * * * [misc]progress: [ 267 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (pow (- 1 (* v v)) 3) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (pow (- 1 (* v v)) 3) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ 4 (* (* v v) (* 3 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (pow (- 1 (* v v)) 3) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ 4 (* (* v v) (* 3 4)))))))) * * * * [misc]progress: [ 268 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (pow (- 1 (* v v)) 3) (* (/ (sqrt 2) 4) (/ 2 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (pow (- 1 (* v v)) 3) (* (/ (sqrt 2) 4) (/ 2 4)))) (* 4 (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (+ (* (* 4 v) (* 3 v)) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (pow (- 1 (* v v)) 3) (* (/ (sqrt 2) 4) (/ 2 4)))) (+ (* (* 4 v) (* 3 v)) 4))))) * * * * [misc]progress: [ 269 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (sqrt 2) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (* v v))))) (* 4 4))))) * [enter]simplify: Simplifying (* 4 4) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 4 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* 4 4))))) * * * * [misc]progress: [ 270 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4)))) (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4)))) (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 271 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 272 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (- (* v v)) (* (* 3 v) (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 273 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 274 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4))))) * * * * [misc]progress: [ 275 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 276 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* v v)))) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* v v)))) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* v v)))) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))) (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 277 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (* 4 4) 2)) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (* 4 4) 2)) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 278 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 279 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))) (* (+ 1 (* v v)) 4))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ 4 (* v (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))) (+ 4 (* v (* v 4))))))) * * * * [misc]progress: [ 280 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ (* (* 4 3) (* v v)) 4))))))) * * * * [misc]progress: [ 281 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (+ (* (* v v) (* 4 3)) 4) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 282 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt 2) 4) (* (* (* (* v 3) (* v 3)) (* (- v) v)) (* (* (* v 3) v) (/ (sqrt 2) 4)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (/ (sqrt 2) 4) (* (* (* (* v 3) (* v 3)) (* (- v) v)) (* (* (* v 3) v) (/ (sqrt 2) 4)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 283 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ 1 (* 3 (* v v))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 284 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (/ (* (/ 2 4) (sqrt 2)) 4))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (/ (* (/ 2 4) (sqrt 2)) 4))) (- 1 (* 3 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 285 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* v (* v 3)) (* v (* v 3)))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (+ (* (* (sqrt 2) (* (* v 3) (- v))) (* (* v (* v 3)) (* v (* v 3)))) (sqrt 2))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (+ (* v v) 1) 4))))))) * * * * [misc]progress: [ 286 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (+ (* (+ (* v v) 1) (* (* 3 v) v)) (+ (* v v) 1)) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)))))) * * * * [misc]progress: [ 287 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (* v v) 1)) (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))))) * * * * [misc]progress: [ 288 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ (+ (* v v) 1) (* (* (* v v) 3) (+ (* v v) 1)))))))) * * * * [misc]progress: [ 289 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (+ (* v (* v 4)) 4) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 290 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (- v) v) (* (* 3 v) (* 3 v)))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (- v) v) (* (* 3 v) (* 3 v)))) (sqrt 2))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (+ 1 (* v v))))))))) * * * * [misc]progress: [ 291 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (+ 1 (* v v)) (* (+ (* (* v v) (* 4 3)) 4) (+ (+ 1 (* v v)) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 292 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* (- v) (* 3 v))) (* (* v (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* (- v) (* 3 v))) (* (* v (* 3 v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (+ 1 (* v v))) (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 293 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (/ 2 4) 4) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (/ 2 4) 4) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (+ (* (+ 1 (* v v)) (* (* 3 v) v)) (+ 1 (* v v))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 294 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (+ (* v (* v 4)) 4) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 295 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))) (sqrt 2))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))))))) * * * * [misc]progress: [ 296 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ 4 (* (* 3 v) (* 4 v)))))))) * * * * [misc]progress: [ 297 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (* (* (* (* v v) 3) (* (* v v) (- 3))) (* (* (* v v) 3) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (* (* (* (* v v) 3) (* (* v v) (- 3))) (* (* (* v v) 3) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))) (* (+ 1 (* v v)) (+ 1 (* v v)))))))) * * * * [misc]progress: [ 298 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* (* v v) 3)) (* (+ (* v v) 1) (+ (* v v) 1))))))) * * * * [misc]progress: [ 299 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * [enter]simplify: Simplifying (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 300 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (/ (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ (* 4 4) 2)) (+ (sqrt 2) (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* 3 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (/ (* 4 4) 2)) (+ (sqrt 2) (* (* (* (* v 3) (* v v)) (- (* v 3))) (* (* 3 (* v v)) (sqrt 2))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 301 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt 2)))) (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 302 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (* (/ 4 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (* v 3) v) (* (* v 3) v)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (* (/ 4 2) 4))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 303 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 304 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* 3 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* 3 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4))))) * * * * [misc]progress: [ 305 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (- (* v v))) (* (* 3 (* v v)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (/ 2 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (- (* v v))) (* (* 3 (* v v)) (sqrt 2))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 306 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 307 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v v) (- 3)) (/ (sqrt 2) 4))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 308 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 309 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 v) v)))) (* (+ 1 (* v v)) 4))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ 4 (* v (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* 3 v) v)))) (+ 4 (* v (* v 4))))))) * * * * [misc]progress: [ 310 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (* (pow (* v v) 3) (* (- 3) (* 3 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (+ (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (* (* (pow (* v v) 3) (* (- 3) (* 3 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4)))))) * * * * [misc]progress: [ 311 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ (* (* v v) (* 3 4)) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) * * * * [misc]progress: [ 312 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (+ (* (* (* (- v) v) (* (* v 3) (* v 3))) (* (* (* v 3) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 313 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v))))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 314 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* 3 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* 3 (* v v))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4))))) * * * * [misc]progress: [ 315 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v v) (- 3)) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (/ 2 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (+ (sqrt 2) (* (* (* 3 (* v v)) (* 3 (* v v))) (* (* (* v v) (- 3)) (sqrt 2))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (* 4 (* v v)) 4) (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))))))) * * * * [misc]progress: [ 316 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (+ 4 (* (* v v) (* 4 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 317 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* v 3) (- v)) (/ (sqrt 2) 4))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (* (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 318 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 319 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) (* (+ 1 (* v v)) 4))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ 4 (* v (* v 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* 3 (* v v))))) (+ 4 (* v (* v 4))))))) * * * * [misc]progress: [ 320 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 321 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (/ (* (sqrt 2) (* v v)) 4) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) 1)) (* (* (/ (* (sqrt 2) (* v v)) 4) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 322 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (/ (* (sqrt 2) (* v v)) 4) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) 1)) (* (* (/ (* (sqrt 2) (* v v)) 4) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 323 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- (* (* v v) 3)) (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (* (- (* v v)) (- 1 (* v v))) (* 3 (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* 1 (/ (sqrt 2) 4))) (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (* (- (* v v)) (- 1 (* v v))) (* 3 (/ (sqrt 2) 4)))))))) * * * * [misc]progress: [ 324 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- (* (* v v) 3)) (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (* (- (* v v)) (- 1 (* v v))) (* 3 (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* 1 (/ (sqrt 2) 4))) (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (* (* (- (* v v)) (- 1 (* v v))) (* 3 (/ (sqrt 2) 4)))))))) * * * * [misc]progress: [ 325 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 3) (* v v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (/ (sqrt 2) 4) 1) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 3) (* v v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* v v)))))))) * * * * [misc]progress: [ 326 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 3) (* v v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* (/ (sqrt 2) 4) 1) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (* (- 3) (* v v))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* v v)))))))) * * * * [misc]progress: [ 327 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (* v v) 3)) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (* v v)) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* 1 (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (* v v)) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))))))) * * * * [misc]progress: [ 328 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (* v v) 3)) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (* v v)) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (+ (* (* 1 (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (* (* (/ (sqrt 2) 4) (* v v)) (* (- 3) (- 1 (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (- 1 (* v v))))))))) * * * * [misc]progress: [ 329 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 330 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 331 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ 4 (* (* v v) (* 3 4)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (+ (* (* 4 (* v v)) (* (* v 3) (* v 3))) (+ 4 (* (* v v) (* 3 4)))))))) * * * * [misc]progress: [ 332 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (+ 1 (* (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (+ (* (* 4 v) (* 3 v)) 4) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* (* 4 v) (* 3 v)) 4))))) * * * * [misc]progress: [ 333 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))) (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 334 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (* v v) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (+ 1 (* (* v v) 3)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 335 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 336 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 337 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v v) (* v v))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v v) (* v v))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 338 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (/ 2 4)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (/ 2 4)) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 339 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* (pow v 3) (pow v 3))) 3) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (* (pow v 3) (pow v 3))) 3) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 340 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 341 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 342 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 343 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4)))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4)))) (- 1 (* 3 (* v v)))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 344 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 345 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 346 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 2)) (* (- 1 (* (* 3 v) v)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (/ (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 2)) (* (- 1 (* (* 3 v) v)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 347 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 v) v)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 2 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 v) v)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (/ 2 4))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 348 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 349 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v (* 3 v))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v (* 3 v))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 350 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (- 1 (* v (* 3 v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (- 1 (* v (* 3 v)))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 351 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* (* v v) (* v v)))) (* (* (/ (sqrt 2) 4) (/ 2 4)) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* (* v v) (* v v)))) (* (* (/ (sqrt 2) 4) (/ 2 4)) (- 1 (* (* v v) 3)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 352 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (pow (- 1 (* (* v v) (* v v))) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (pow (- 1 (* (* v v) (* v v))) 3)) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 353 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* 3 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* 3 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 354 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) 3)) (/ (sqrt 2) 4))) (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) 3)) (/ (sqrt 2) 4))) (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 355 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 356 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ 2 4)))) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ 2 4)))) (- 1 (* (pow v 3) (pow v 3)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 357 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 358 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 359 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (/ 4 (* (- 1 (* (* v 3) v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (/ (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (/ 4 (* (- 1 (* (* v 3) v)) (sqrt 2)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 360 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 361 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (- 1 (pow (* v v) 3)) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (pow (* v v) 3)) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 362 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 363 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 364 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v))))) (- 1 (* (* v v) (* v v)))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 365 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 366 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (- 1 (* 3 (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (- 1 (* 3 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 367 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 368 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 369 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 370 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (/ (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v 3) v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 371 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* v v)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 372 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 373 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* 3 (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* 3 (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 374 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 375 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (- 1 (* v v))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 376 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ (* (/ 2 4) (sqrt 2)) 4) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ (* (/ 2 4) (sqrt 2)) 4) (- 1 (* (* v v) 3)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 377 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* 3 v) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* 3 v) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 378 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) 4)))) * * * * [misc]progress: [ 379 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 380 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 381 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))) (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))) (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (- 1 (pow (* v v) 3)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 382 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ 4 2) 4)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (/ (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ 4 2) 4)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 383 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 384 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (/ 4 (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (/ 4 (- 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 385 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 386 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 387 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 388 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 389 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 390 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 391 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 392 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 393 / 1381 ] simplifiying candidate # * * * * [misc]progress: [ 394 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* (* v v) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 395 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 396 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (/ 2 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 397 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 398 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 399 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 400 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 401 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 402 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 403 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 404 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* 3 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* 3 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 405 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 406 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 407 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 408 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 2))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 409 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * * * * [misc]progress: [ 410 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 411 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (sqrt 2) (/ (/ 2 4) 4)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (sqrt 2) (/ (/ 2 4) 4)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 412 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 413 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (/ (/ 2 4) 4) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (/ (/ 2 4) 4) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 414 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* v 3)))) (pow (- 1 (pow (* v v) 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* v 3)))) (pow (- 1 (pow (* v v) 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 415 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 416 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 417 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 418 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 419 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) (- 1 (* (* v 3) v)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 420 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 421 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 422 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 423 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 424 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (* (- 1 (* (* v 3) v)) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (* (- 1 (* (* v 3) v)) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 425 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 426 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 427 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 428 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 429 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v 3) v)) (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v 3) v)) (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 430 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 431 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 432 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 433 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 434 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) 4))))) * * * * [misc]progress: [ 435 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 436 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 437 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 438 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 439 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (sqrt 2) (- 1 (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (sqrt 2) (- 1 (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 440 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 441 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 442 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 443 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 444 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (/ 2 4))) (* (sqrt 2) (- 1 (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (/ 2 4))) (* (sqrt 2) (- 1 (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 445 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 446 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 447 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 448 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 449 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 450 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 451 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 452 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 453 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 454 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v 3) v)) (sqrt 2)))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v 3) v)) (sqrt 2)))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 455 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 456 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 457 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 458 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 459 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * * * * [misc]progress: [ 460 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 461 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 462 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 463 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 464 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* v 3))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* v 3))) (sqrt 2))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 465 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 466 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 467 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 468 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 469 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* v 3))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* v 3))) (sqrt 2))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 470 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 471 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 472 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 473 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 474 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* (* v 3) v)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* (* v 3) v)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 475 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (- 1 (pow (* v (* v 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (- 1 (pow (* v (* v 3)) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 476 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 477 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 478 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 479 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))) (pow (- 1 (* (* v v) (* v v))) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* 3 (* v v)))) (pow (- 1 (* (* v v) (* v v))) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 480 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (* (- 1 (* v v)) (/ 2 4)) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (* (- 1 (* v v)) (/ 2 4)) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 481 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 482 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 483 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (/ (- 1 (* v v)) (/ 4 2))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (/ (- 1 (* v v)) (/ 4 2))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 484 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) 4))))) * * * * [misc]progress: [ 485 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (pow (* (* v 3) v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (pow (* (* v 3) v) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 486 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 487 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 488 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 489 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 490 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (- 1 (pow (* 3 (* v v)) 3)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 491 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 492 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 493 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 494 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 495 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 496 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 497 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 498 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 499 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 500 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 501 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 502 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 503 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 504 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* v 3))) (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* v 3))) (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 505 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 506 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 507 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 508 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 509 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v (* v 3))) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v (* v 3))) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 510 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 511 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 512 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 513 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 514 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v))))) (* (- 1 (pow (* v v) 3)) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v))))) (* (- 1 (pow (* v v) 3)) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 515 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 516 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 517 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 518 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 519 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 520 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 521 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 522 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 523 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 524 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt 2) (- 1 (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt 2) (- 1 (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 525 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 526 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 527 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 528 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 529 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 530 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 531 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 532 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (* (/ 2 4) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (* (/ 2 4) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 533 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (/ 2 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 534 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 535 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (- 1 (pow (* v (* v 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (- 1 (pow (* v (* v 3)) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 536 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2))))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 537 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* 3 (* v v)) 3)) (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* 3 (* v v)) 3)) (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 538 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 539 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (/ (/ 2 4) 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (/ (/ 2 4) 4))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 540 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 541 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 542 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 543 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 544 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 545 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* 3 (* v v)) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* 3 (* v v)) 3)) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 546 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 547 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 548 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 549 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v (* v 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 550 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 551 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 552 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 553 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 554 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (sqrt 2) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (sqrt 2) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 555 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 556 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 557 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (/ 2 4))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (/ 2 4))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 558 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v 3)) (* v (* v 3)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4 2))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 559 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 560 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 561 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 562 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) (- 1 (pow (* (* v 3) v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) (- 1 (pow (* (* v 3) v) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 563 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 564 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 565 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) (- 1 (pow (* v (* v 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))))) (- 1 (pow (* v (* v 3)) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 566 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 567 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 568 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 569 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))))) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))))) (- 1 (* 3 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 570 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 571 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 572 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 573 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 574 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 2))) (* (* (sqrt 2) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 2))) (* (* (sqrt 2) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 575 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 576 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 577 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 578 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 579 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 4))))) (- 1 (* v (* v 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (/ 2 4))))) (- 1 (* v (* v 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 580 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* 3 (* v v)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 581 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (/ 2 4) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (/ 2 4) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 582 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 583 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (- 1 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (- 1 (* v v)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 584 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 585 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 586 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 587 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* 3 (* v v)) 3))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 588 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 589 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2))))) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2))))) (- 1 (* 3 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 590 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 591 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v v))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 592 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 593 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 594 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v 3) v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v 3) v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 595 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 596 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 597 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (- 1 (* v v)))))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (- 1 (* v v)))))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 598 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 2))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 2))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 599 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 600 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* v v)) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 601 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 602 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 603 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 604 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (sqrt 2) (- 1 (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (sqrt 2) (- 1 (* v v)))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 605 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 606 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 607 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ (sqrt 2) 4) (/ 2 4)) (pow (- 1 (* v v)) 3)) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ (sqrt 2) 4) (/ 2 4)) (pow (- 1 (* v v)) 3)) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 608 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 609 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 4))))) * * * * [misc]progress: [ 610 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 611 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* v v)) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 612 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 613 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 614 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 615 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))))) (/ (- 1 (* (* v v) (* v v))) (* (/ 4 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))))) (/ (- 1 (* (* v v) (* v v))) (* (/ 4 2) 4)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 616 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 617 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 618 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 619 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 620 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 621 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 (* 4 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 622 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* (* v 3) v) 3)) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 623 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 624 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* (* v 3) v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 625 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 626 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 627 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 628 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 629 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (sqrt 2)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (sqrt 2)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 630 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 631 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 (* 4 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 632 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* 3 (* v v)) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 633 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (/ (sqrt 2) 4)) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 634 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (sqrt 2))))) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (sqrt 2))))) (- 1 (* 3 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 635 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 636 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 637 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 638 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 639 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v 3) v)) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (* (/ 4 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v 3) v)) (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (* (/ 4 2) 4))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 640 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sqrt 2) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (sqrt 2) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (* (- 1 (pow (* v (* v 3)) 3)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 641 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (sqrt 2)) (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 642 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 643 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 644 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 645 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 646 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 647 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* (* v 3) v) 3)) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 648 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (/ (sqrt 2) 4)) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 649 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 650 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2)) (- 1 (pow (* v (* v 3)) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 651 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* (* v (* v 3)) (* v (* v 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 652 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 653 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 (/ 2 4))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 654 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 655 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (/ (/ 2 4) 4) (* (- 1 (* v v)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (pow (* v (* v 3)) 3)) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (/ (/ 2 4) 4) (* (- 1 (* v v)) (- 1 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 656 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 657 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 658 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 659 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 660 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (sqrt 2) (/ 2 (* 4 4)))) (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (sqrt 2) (/ 2 (* 4 4)))) (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 661 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (sqrt 2) (/ 2 (* 4 4)))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (sqrt 2) (/ 2 (* 4 4)))) (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 662 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (pow (- 1 (* v v)) 3)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (pow (- 1 (* v v)) 3)) (- 1 (pow (* (* v 3) v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 663 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 664 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v 3) v)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v 3) v)) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (sqrt 2))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) 4)))) * * * * [misc]progress: [ 665 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 666 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 667 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- 1 (pow (* v v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 668 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 669 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 670 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 671 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* v v) 3)) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* v v) 3)) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 672 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* 3 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* 3 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 673 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 674 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 675 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 676 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 677 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (/ 2 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (/ 2 4) (- 1 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 678 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 679 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 2 (* 4 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 2 (* 4 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 680 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (/ 4 (* (- 1 (* v (* v 3))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (/ 4 (* (- 1 (* v (* v 3))) (sqrt 2))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 681 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3)))) (pow (- 1 (* (* v v) (* v v))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* v 3)))) (pow (- 1 (* (* v v) (* v v))) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 682 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ 2 4) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ 2 4) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 683 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (- 1 (* 3 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 684 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (pow (- 1 (* (* v v) (* v v))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (pow (- 1 (* (* v v) (* v v))) 3)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 685 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 686 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 687 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 688 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 689 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 690 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 691 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v)))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 692 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 693 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 694 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (- 1 (* v (* v 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 695 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 2)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 696 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 697 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 698 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* 3 (* v v))) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 699 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 700 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (- 1 (* 3 (* v v))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 701 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 702 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 703 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* v (* v 3))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* v (* v 3))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 704 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 705 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v 3) v)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 706 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (* (- 1 (* (* v 3) v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 707 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (* (* v 3) v)) (/ (sqrt 2) 4))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) 4)))) * * * * [misc]progress: [ 708 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 709 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* v 3))) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 710 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (* (- 1 (* 3 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (/ 4 (/ 2 4))))) (* (- 1 (* 3 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 711 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 712 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (/ (sqrt 2) 4) (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 713 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* v 3))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 714 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 715 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 716 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v))))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 717 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow 1 3) (pow (* (* v v) 3) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (* (- 1 (* v (* v 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 718 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (+ (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 719 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ 2 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 720 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (pow (* v v) 3))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (pow (* v v) 3))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 721 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 722 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 723 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (sqrt 2))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (sqrt 2))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 724 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 725 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 726 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 727 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 728 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 4) (- 1 (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (* (* 3 v) v) (* (- v) (* 3 v))) (* (* (* 3 v) v) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 4) (- 1 (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (* (* 3 v) v) (* (- v) (* 3 v))) (* (* (* 3 v) v) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 729 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 730 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (/ 2 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 731 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (* (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 732 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * * * * [misc]progress: [ 733 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2)) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2)) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 734 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 735 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 736 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 737 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (pow (- 1 (pow (* v v) 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (pow (- 1 (pow (* v v) 3)) 3)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 738 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (/ 2 4))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* 3 v))) (* (* v (* 3 v)) (* (- v) (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (/ 2 4))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* 3 v))) (* (* v (* 3 v)) (* (- v) (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 739 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 740 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 741 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 742 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 743 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 744 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 745 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* (- v) v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* (- v) v))) (/ (sqrt 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 746 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 4 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 4 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 747 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 748 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (/ 2 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (/ 2 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 749 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 750 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* (- v) v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* (- v) v))) (/ (sqrt 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 751 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 752 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* 3 v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* 3 v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 753 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (- 1 (* v v)) (/ 4 2))) (* (+ (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (- 1 (* v v)) (/ 4 2))) (* (+ (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 754 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 755 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (/ 4 2))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (/ 4 2))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 756 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 757 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) 4))))) * * * * [misc]progress: [ 758 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 759 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 760 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (/ 2 4)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 761 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 762 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt 2) (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt 2) (- 1 (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 763 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 764 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 765 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 766 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 767 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt 2) (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt 2) (- 1 (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 768 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 769 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 770 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) (/ 4 (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (/ 2 4)))) (/ 4 (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 771 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ 4 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (/ 4 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 772 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 773 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (* (* v v) (* v v))) (/ 4 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 774 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 775 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (pow (* v v) 3))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 776 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 777 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 778 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (+ (* (* (sqrt 2) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (+ (* (* (sqrt 2) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 779 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 780 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (- 1 (* v v)) (/ 4 2))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (- 1 (* v v)) (/ 4 2))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 781 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 (* (- 1 (* v v)) 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (/ 4 (* (- 1 (* v v)) 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 782 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4))))) * * * * [misc]progress: [ 783 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (* (- v) v)) (* (* v (* 3 v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (* (* 3 v) (* 3 v)) (* (- v) v)) (* (* v (* 3 v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 784 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 785 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 786 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 787 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 788 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 789 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 790 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (/ 2 4)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 791 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 792 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 793 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 794 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 795 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 796 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 797 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 798 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 799 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 800 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 801 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 802 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (pow (- 1 (* (* v v) (* v v))) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (pow (- 1 (* (* v v) (* v v))) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 803 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 804 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4))))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4))))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 805 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (/ 4 (+ (sqrt 2) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* 3 v) (- v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* v v)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (/ 4 (+ (sqrt 2) (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* 3 v) (- v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 806 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ 2 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ 2 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 807 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4) 4))))) * * * * [misc]progress: [ 808 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 809 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 810 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 811 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 812 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 813 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) (sqrt 2))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* 3 v) (- v)) (sqrt 2))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 814 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 815 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ (- 1 (* (* v v) (* v v))) (* (/ 4 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (* (* (* (* v v) 3) (* (* v v) 3)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ (- 1 (* (* v v) (* v v))) (* (/ 4 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 816 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 817 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 818 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* 3 v) v)) (* (* (* 3 v) (* 3 v)) (* v (- v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 819 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 820 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (- v) v) (* (* 3 v) (* 3 v)))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (+ (* (* (/ (sqrt 2) 4) (* v (* 3 v))) (* (* (- v) v) (* (* 3 v) (* 3 v)))) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 821 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 822 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v (* 3 v))) (sqrt 2))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v (* 3 v))) (sqrt 2))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 823 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 824 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 825 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 826 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 827 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v (* 3 v))) (* (sqrt 2) (- 1 (* v v)))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v (* 3 v))) (* (sqrt 2) (- 1 (* v v)))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 828 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 829 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (sqrt 2) (- 1 (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (sqrt 2) (- 1 (* v v))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 830 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (/ 4 (* 2 (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (/ (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (/ 4 (* 2 (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 831 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (* (/ 2 4) (- 1 (* v v))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 832 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 833 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (* (/ 4 2) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (pow (* v v) 3)) (* (/ 4 2) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 834 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 835 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) v)) (* (* (* 3 v) v) (* (- v) (* 3 v)))))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) v)) (* (* (* 3 v) v) (* (- v) (* 3 v)))))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 836 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* v v))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (- 1 (* v v))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 837 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sqrt 2) (- 1 (* (* v v) 3))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4)))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (sqrt 2) (- 1 (* (* v v) 3))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4)))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 838 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 839 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 840 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 841 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 842 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 843 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (+ (* (* (sqrt 2) (* v (* 3 v))) (* (* v (- v)) (* (* 3 v) (* 3 v)))) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (+ (* (* (sqrt 2) (* v (* 3 v))) (* (* v (- v)) (* (* 3 v) (* 3 v)))) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 844 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 845 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 846 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* (/ 2 4) (sqrt 2)) 4))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* (/ 2 4) (sqrt 2)) 4))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 847 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3)))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 848 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 849 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 850 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 851 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 852 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sqrt 2) (- 1 (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (sqrt 2) (- 1 (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 853 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 4 (* (- 1 (* v v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))) (sqrt 2))) (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 4 (* (- 1 (* v v)) 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 854 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (sqrt 2)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 855 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 856 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 857 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 858 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 859 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 860 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 861 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 862 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 863 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2)) (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2)) (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 864 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 865 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ (/ (sqrt 2) 4) (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (+ (/ (sqrt 2) 4) (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 866 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 867 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (/ (/ 2 4) 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (/ (/ 2 4) 4))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 868 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 869 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 870 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (* (* (sqrt 2) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 871 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4)))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 872 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 873 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 4 2)) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (/ (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ 4 2)) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 874 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 875 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 876 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 877 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (sqrt 2) (- 1 (* v (* 3 v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (sqrt 2) (- 1 (* v (* 3 v)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ 2 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 878 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (- 1 (* v v)))) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (- 1 (* v v)))) (- 1 (pow (* v v) 3))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (sqrt 2) (* (* v v) (- 3))) (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 879 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 880 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))) (+ (* (* (/ (sqrt 2) 4) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 4))) (+ (* (* (/ (sqrt 2) 4) (* (- 3) (* v v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 881 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 882 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* v v)) (sqrt 2)) (- 1 (* v (* 3 v)))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (pow (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 883 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 884 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 885 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3)))) (/ 4 (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (pow (* v v) 3)))) (/ 4 (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 886 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)) (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)) (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (/ 2 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 887 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 888 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) (- 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) (- 3)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 889 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 890 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 891 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (pow (* v v) 3)) (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 892 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 893 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 4))) (+ (* (sqrt 2) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 4))) (+ (* (sqrt 2) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 894 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 895 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 2)) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 2)) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 896 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 897 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))))) (- 1 (* (* v v) 3)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4))))) * * * * [misc]progress: [ 898 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v))))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 899 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 900 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 4)) (- 1 (* (* v v) (* v v)))) (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 901 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 902 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)) 4))))) * * * * [misc]progress: [ 903 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (/ 2 4))) (+ (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt 2)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (/ 2 4))) (+ (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt 2)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (sqrt 2) (* (* v v) (- 3))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 904 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 905 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 4 (* (- 1 (* v v)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ 4 (* (- 1 (* v v)) 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 906 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 907 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* 3 v) v)) (- 1 (* (* v v) (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* 3 v) v)) (- 1 (* (* v v) (* v v)))) (* (/ (- 1 (* v v)) (/ 4 2)) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 908 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ 4 2) 4)) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (* (/ 4 2) 4)) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 909 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 910 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 911 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 912 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4))) (* (sqrt 2) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 913 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 914 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 915 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 916 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 4 (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* v v))) (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (/ 4 (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 917 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (sqrt 2) (- 1 (* (* v v) 3))))) (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 918 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) (sqrt 2))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) (- v))) (* (* (* 3 v) v) (sqrt 2))))) (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 919 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 920 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (* (/ 2 4) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (/ 4 (+ (sqrt 2) (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 921 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 922 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4) 4))))) * * * * [misc]progress: [ 923 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 4) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 924 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt 2) (/ 2 4)))) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt 2) (/ 2 4)))) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 925 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (* (- 1 (* v v)) (- 1 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (* (* (/ (sqrt 2) 4) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (* (- 1 (* v v)) (- 1 (* v v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 926 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 927 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) 4) 4))))) * * * * [misc]progress: [ 928 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* v (* 3 v)) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (pow (* v (* 3 v)) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 929 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 930 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (pow (* v (* 3 v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (pow (* v (* 3 v)) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 931 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (* (/ (sqrt 2) 4) (/ 2 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (* (/ (sqrt 2) 4) (/ 2 4))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 932 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 4))))) * * * * [misc]progress: [ 933 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* v (- v)))))) (/ (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (/ 4 (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (+ (sqrt 2) (* (* (sqrt 2) (* v (* 3 v))) (* (* (* 3 v) (* 3 v)) (* v (- v)))))) (/ (/ (- 1 (pow (* v v) 3)) (/ 4 2)) (/ 4 (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 934 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* v v)))) (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 935 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (- 1 (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (- 1 (* v v)))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 936 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 937 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 938 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt 2)) (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 939 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 940 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (+ (* (* (* (- v) v) (* (* 3 v) (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (+ (* (* (* (- v) v) (* (* 3 v) (* 3 v))) (* (* (* 3 v) v) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 941 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 942 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 943 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 944 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 945 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (- 1 (pow (* v v) 3)) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (+ (/ (sqrt 2) 4) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (/ (sqrt 2) 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 946 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (- 1 (* v v)))) (- 1 (* (pow v 3) (pow v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 947 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (- 1 (* (pow v 3) (pow v 3))))) (* (- 1 (* (* v v) 3)) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (- 1 (* v v)) (* (/ 4 2) 4))) (- 1 (* (pow v 3) (pow v 3))))) (* (- 1 (* (* v v) 3)) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 948 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 949 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 950 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 (* 4 4)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 951 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ (/ 2 4) 4) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 952 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 953 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (sqrt 2) (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 954 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 955 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (- v) (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (* (- 1 (* v v)) (/ 2 (* 4 4))) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 956 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 957 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 4 (* (/ 2 4) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (sqrt 2)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 958 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* (sqrt 2) (* (* 3 v) (- v))) (* (* (* v v) 3) (* (* v v) 3))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 959 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 960 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 (* 4 4)))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (* 3 v) (- v)) (/ (sqrt 2) 4))) (/ (sqrt 2) 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 961 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (/ (/ 2 4) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (- 1 (* v v)) (- 1 (* (* v v) (* v v))))) (* (/ (/ 2 4) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 962 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (sqrt 2) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (sqrt 2) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 963 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (pow (* v v) 3))) (* (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (pow (* v v) 3))) (* (/ (* (- 1 (* v v)) (- 1 (* v v))) (/ 4 (/ 2 4))) (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (* v v) (- 3)) (sqrt 2))) (sqrt 2))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 964 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (sqrt 2) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (* (sqrt 2) (* (/ 2 (* 4 4)) (- 1 (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 965 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) v)) (* (* (* 3 v) v) (* (- v) (* 3 v)))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (- 1 (pow (* v v) 3))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* 3 v) v)) (* (* (* 3 v) v) (* (- v) (* 3 v)))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 966 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3))))) (/ 4 (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (/ (* (sqrt 2) (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3))))) (/ 4 (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (/ 2 (* 4 4)) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 967 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) 3)) (* (sqrt 2) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 968 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2)) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (* (* (* v (* 3 v)) (* v (* 3 v))) (* (* (- 3) (* v v)) (sqrt 2))) (sqrt 2)) (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 969 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt 2))) (* (- 1 (* (* v (* 3 v)) (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 970 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (/ (sqrt 2) 4) (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (/ (sqrt 2) 4) (* (* (* (- v) (* 3 v)) (* (* 3 v) v)) (* (* (* 3 v) v) (/ (sqrt 2) 4))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 971 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 972 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 973 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* (- v) v) (* (* 3 v) (* 3 v))) (* (* v (* 3 v)) (sqrt 2))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (- 1 (* v v)) (/ 4 (/ 2 4))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (+ (* (* (* (- v) v) (* (* 3 v) (* 3 v))) (* (* v (* 3 v)) (sqrt 2))) (sqrt 2)) (* (- 1 (pow (* v v) 3)) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 974 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v))))) (* (* (/ 2 (* 4 4)) (sqrt 2)) (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 975 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) (/ 4 (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ 2 (* 4 4)))))) (/ 4 (+ (sqrt 2) (* (* (* (* 3 v) v) (* (* 3 v) v)) (* (* (- v) (* 3 v)) (sqrt 2))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 976 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ (- 1 (* v v)) (* (/ 4 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 977 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 978 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))))) * * * * [misc]progress: [ 979 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (/ 2 4)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (/ 2 4)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* 4 (+ 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 980 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (* (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ 2 (* 4 4))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (/ 4 (+ (sqrt 2) (* (* (sqrt 2) (* (- v) (* 3 v))) (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 981 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* v v)) (/ 4 (/ 2 4)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 982 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (sqrt 2)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 983 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (pow (* v (* 3 v)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (pow (* v (* 3 v)) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 984 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (pow (- 1 (* v v)) 3) (/ (* (/ 2 4) (sqrt 2)) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 985 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 986 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (pow (- 1 (* v v)) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)) (pow (- 1 (* v v)) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 987 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ (/ 2 4) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) 4)))) * * * * [misc]progress: [ 988 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (pow (- 1 (pow (* v v) 3)) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 989 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (pow v 3) (pow v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (pow v 3) (pow v 3))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 990 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 991 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (pow (- 1 (* (pow v 3) (pow v 3))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (pow (- 1 (* (pow v 3) (pow v 3))) 3)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 992 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* v (* 3 v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* v (* 3 v))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 993 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 994 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 995 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (/ 2 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))))) (* (/ 2 4) (- 1 (* v v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 996 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (* (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (pow (* v v) 3)) (/ 2 (* 4 4)))) (* (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)) (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 997 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 998 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) 3)) (/ (sqrt 2) 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 2)) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) 3)) (/ (sqrt 2) 4))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 999 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1000 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (/ 4 2))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* (* v v) (* v v))) (/ (- 1 (* v v)) (/ 4 2))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4))))) * * * * [misc]progress: [ 1001 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1002 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (- 1 (* (* v v) (* v v)))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1003 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (* (* v v) (* v v))) (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 1004 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1005 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* v v)) (/ 2 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* v v)) (/ 2 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) 4))))) * * * * [misc]progress: [ 1006 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (sqrt 2) 4) (* (- 1 (* v (* 3 v))) (- 1 (* (* v v) (* v v))))) (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (/ (sqrt 2) 4) (* (- 1 (* v (* 3 v))) (- 1 (* (* v v) (* v v))))) (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1007 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (pow (- 1 (* (* v v) (* v v))) 3) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (* (+ 1 (* v v)) (+ 1 (* v v))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1008 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3)))) (* (* (- 1 (* v v)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 1009 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (/ 2 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1010 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (* (/ 2 4) (- 1 (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 1011 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (/ (/ 2 4) 4)) (* (* (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1012 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* 3 v) v)) (/ (sqrt 2) 4)) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (* 3 v) v)) (/ (sqrt 2) 4)) (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))))) (* (- 1 (* v v)) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1013 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v (* 3 v))) (/ (sqrt 2) 4))) (* (* (- 1 (pow (* v v) 3)) (/ 2 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 1014 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (/ 2 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (* (/ 2 4) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1015 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 1016 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* 3 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (pow (* v v) 3)) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* (* 3 v) v))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1017 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))) (* (/ 2 (* 4 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1018 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 1019 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1020 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* v v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 1021 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (- 1 (pow (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (- 1 (pow (* v v) 3))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1022 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (- 1 (* v v))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1023 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* (* v v) (* v v))) (- 1 (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (* (/ 2 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)))))) * * * * [misc]progress: [ 1024 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* (* v v) (* v v))) (/ 2 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (* (+ 1 (* v v)) 4)))))) * * * * [misc]progress: [ 1025 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ 2 4)) (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 1026 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* 3 v) v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (* (* 3 v) v))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1027 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ 2 (* 4 4)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1028 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4))))) * * * * [misc]progress: [ 1029 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (- 1 (* v v)))) (* (- 1 (* (* v v) 3)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) 4))))) * * * * [misc]progress: [ 1030 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (/ 2 4)) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) 4)))) * * * * [misc]progress: [ 1031 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 1032 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 1033 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))))) (/ (- 1 (* v v)) (* (/ 4 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))))) (/ (- 1 (* v v)) (* (/ 4 2) 4)))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1034 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* 3 v) v))))) (* (- 1 (* v v)) (/ 2 (* 4 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* 3 v) v))))) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1035 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (pow (* v v) 3)) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (- 1 (pow (* v v) 3)) (* (* (* (- 1 (* (* v v) (* v v))) (/ 2 (* 4 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* (* 3 v) v)))) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 1036 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))))) (* (- 1 (* v v)) (/ 2 (* 4 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v (* 3 v)))))) (* (- 1 (* v v)) (/ 2 (* 4 4))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (* (+ 1 (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 1037 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (* (/ (/ 2 4) 4) (- 1 (* v v))) (- 1 (pow (* v v) 3))) (* (- 1 (* v (* 3 v))) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 1038 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* (* v v) (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 1039 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (- 1 (* v (* 3 v))))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 1040 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- 1 (* v v))) (* (- 1 (* v v)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (* (- 1 (* v (* 3 v))) (- 1 (* (* v v) (* v v)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))))) (cbrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 1041 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1042 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ 2 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ 2 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1043 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1044 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1045 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (/ 2 4) (- 1 (pow (* v v) 3))) (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4)))) * * * * [misc]progress: [ 1046 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1047 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1048 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1049 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1050 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))) (* (* (- 1 (* (* v v) 3)) (sqrt 2)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 2))) (* (* (- 1 (* (* v v) 3)) (sqrt 2)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4)))) * * * * [misc]progress: [ 1051 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* (pow v 3) (pow v 3))) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1052 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (pow (* v v) 3)) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2)))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1053 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 2))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (/ (* (- 1 (* v v)) (/ (sqrt 2) 4)) (/ 4 2))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1054 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1055 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4)))) (* (- 1 (* (* 3 v) v)) (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* v v)) (* (sqrt 2) (/ 2 4)))) (* (- 1 (* (* 3 v) v)) (sqrt (- 1 (* (* 3 v) v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4)))) * * * * [misc]progress: [ 1056 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ 2 (* 4 4))))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ 2 (* 4 4))))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1057 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 (* 4 4)) (sqrt 2))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 v) v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1058 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1059 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1060 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (- 1 (* (pow v 3) (pow v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (* (/ (/ 2 4) 4) (sqrt 2)) (- 1 (* (* 3 v) v))) (- 1 (* (pow v 3) (pow v 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4)))) * * * * [misc]progress: [ 1061 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1062 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1063 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1064 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1065 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4)))) * * * * [misc]progress: [ 1066 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1067 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1068 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* (/ 2 4) (sqrt 2)) 4))) (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* (/ 2 4) (sqrt 2)) 4))) (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1069 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1070 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ 2 4)) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v))))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4)))) * * * * [misc]progress: [ 1071 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1072 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1073 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* 3 v) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4))) (- 1 (pow (* (* 3 v) v) 3))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1074 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1075 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* v v) (* v v))) (* (* (/ 2 4) (sqrt 2)) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (* (+ 1 (* v v)) 4)) 4)))) * * * * [misc]progress: [ 1076 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1077 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 4)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (sqrt 2) (* (- 1 (* v v)) (/ 2 4)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1078 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (/ 2 4) (- 1 (* v v))) (/ (sqrt 2) 4)) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1079 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4)) (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1080 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) 4) 4)))) * * * * [misc]progress: [ 1081 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* 2 (sqrt 2)) (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (* 2 (sqrt 2)) (* 4 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1082 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1083 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 (* 4 4))))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1084 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1085 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2))) (- 1 (* (* v v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4)))) * * * * [misc]progress: [ 1086 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (* (/ 2 4) (sqrt 2)) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* 3 v) v))) (- 1 (pow (* (* 3 v) v) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (* (/ 2 4) (sqrt 2)) 4))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1087 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (sqrt 2)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1088 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1089 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (sqrt (- 1 (* (* 3 v) v)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1090 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (pow 1 3) (pow (* v v) 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (/ (/ 2 4) 4)) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (pow v 3) (pow v 3))) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (+ 1 (* v v))) (+ 1 (* v v))) 4)))) * * * * [misc]progress: [ 1091 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1092 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1093 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1094 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1095 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (/ 2 4) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) 4)))) * * * * [misc]progress: [ 1096 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1097 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1098 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* (/ 2 4) (sqrt 2)) 4))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* (/ 2 4) (sqrt 2)) 4))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1099 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (/ (sqrt 2) 4)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1100 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* (+ 1 (* v v)) 4)) 4)))) * * * * [misc]progress: [ 1101 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ 2 4)) (sqrt 2)) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (* (- 1 (* v v)) (/ 2 4)) (sqrt 2)) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1102 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1103 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (* (- 1 (* v v)) (/ 2 4)) (/ (sqrt 2) 4))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1104 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (* (/ (- 1 (* v v)) (/ 4 2)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1105 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- 1 (* v v)) (/ 2 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v v) 3)))) (* (* (- 1 (* v v)) (* (/ 2 4) (sqrt 2))) (- 1 (* (* v v) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4) 4)))) * * * * [misc]progress: [ 1106 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ (/ 2 4) 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (sqrt 2) (/ (/ 2 4) 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1107 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (/ 2 4) 4) (sqrt 2)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1108 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1109 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1110 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (pow 1 3) (pow (* v v) 3)) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (/ 2 4) 4)) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 4)))) * * * * [misc]progress: [ 1111 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1112 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (* 2 (sqrt 2)) (* 4 4)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1113 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ 2 (* 4 4)) (/ (sqrt 2) 4)))) (* (- 1 (pow (* (* v v) 3) 3)) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1114 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3)))) (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (/ (/ 2 4) 4)))) (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 1115 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (pow 1 3) (pow (* v v) 3))) (* (- (* 1 1) (* (* v v) (* v v))) (/ (/ 2 4) 4))) (* (sqrt 2) (- 1 (* (* v v) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) 3)) (sqrt 2))) (* (* (/ (/ 2 4) 4) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (pow v 3) (pow v 3))))))) (cbrt (* (* (* (+ 1 (* v v)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (+ 1 (* v v))) 4)))) * * * * [misc]progress: [ 1116 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))))) (cbrt (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3))))))))) * * * * [misc]progress: [ 1117 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (sqrt 2) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (pow (* v v) 3)) (* (/ 2 4) (sqrt 2)))) (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (* 4 (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 1118 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* (* v v) 3) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 4)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (pow (* (* v v) 3) 3))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* (/ (sqrt 2) 4) (/ 2 4)))))) (cbrt (* (* (* (+ 1 (* v v)) (+ 1 (* v v))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 4)) (+ (* 1 1) (+ (* (* (* v v) 3) (* (* v v) 3)) (* 1 (* (* v v) 3)))))))) * * * * [misc]progress: [ 1119 / 1381 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (* (- (* 1 1) (* (* v v) (* v v))) (- (* 1 1) (* (* v v) (* v v)))) (* (- (pow 1 3) (pow (* v v) 3)) (/ 2 4))) (* (/ (sqrt 2) 4) (- (* 1 1) (* (* (* v v) 3) (* (* v v) 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes)