0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.111 * * * [progress]: [2/2] Setting up program. 0.113 * [progress]: [Phase 2 of 3] Improving. 0.113 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.113 * [simplify]: Simplifying (log (+ x (sqrt (- (* x x) 1)))) 0.113 * * [simplify]: iters left: 6 (7 enodes) 0.115 * * [simplify]: iters left: 5 (30 enodes) 0.120 * * [simplify]: iters left: 4 (41 enodes) 0.129 * * [simplify]: iters left: 3 (57 enodes) 0.149 * * [simplify]: iters left: 2 (94 enodes) 0.163 * * [simplify]: iters left: 1 (136 enodes) 0.213 * * [simplify]: Extracting #0: cost 1 inf + 0 0.213 * * [simplify]: Extracting #1: cost 3 inf + 0 0.213 * * [simplify]: Extracting #2: cost 6 inf + 0 0.213 * * [simplify]: Extracting #3: cost 7 inf + 1 0.214 * * [simplify]: Extracting #4: cost 45 inf + 1 0.215 * * [simplify]: Extracting #5: cost 39 inf + 3054 0.218 * * [simplify]: Extracting #6: cost 2 inf + 6856 0.221 * * [simplify]: Extracting #7: cost 0 inf + 6820 0.224 * [simplify]: Simplified to (log (+ x (sqrt (- (* x x) 1)))) 0.224 * [simplify]: Simplified (2) to (λ (x) (log (+ x (sqrt (- (* x x) 1))))) 0.229 * * [progress]: iteration 1 / 4 0.229 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.257 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.278 * * * [progress]: generating series expansions 0.278 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.278 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 0.278 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.278 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 1 in x 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.280 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.282 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.283 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.285 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.291 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.300 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.303 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.303 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 0.303 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.315 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.315 * [backup-simplify]: Simplify -1/2 into -1/2 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.324 * [backup-simplify]: Simplify -1/8 into -1/8 0.324 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.324 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 0.324 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1 in x 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [backup-simplify]: Simplify (sqrt 1) into 1 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.332 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.332 * [backup-simplify]: Simplify -1/2 into -1/2 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.337 * [backup-simplify]: Simplify -1/8 into -1/8 0.337 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 0.337 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.338 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 0.338 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.338 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.340 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.340 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.340 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.342 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 0.347 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.348 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.348 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 0.348 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (sqrt 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 1 1) into 2 0.355 * [backup-simplify]: Simplify 2 into 2 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.360 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.361 * [backup-simplify]: Simplify -1/2 into -1/2 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 0.372 * [backup-simplify]: Simplify -1/8 into -1/8 0.372 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.372 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 0.372 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of 1 in x 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of 1 in x 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.387 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.388 * [backup-simplify]: Simplify -1/2 into -1/2 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 0.397 * [backup-simplify]: Simplify -1/8 into -1/8 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 0.406 * [backup-simplify]: Simplify -1/16 into -1/16 0.406 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.406 * * * [progress]: simplifying candidates 0.406 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 0.406 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 0.407 * [simplify]: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) 0.407 * * [simplify]: iters left: 6 (7 enodes) 0.409 * * [simplify]: iters left: 5 (30 enodes) 0.414 * * [simplify]: iters left: 4 (41 enodes) 0.425 * * [simplify]: iters left: 3 (57 enodes) 0.438 * * [simplify]: iters left: 2 (94 enodes) 0.452 * * [simplify]: iters left: 1 (136 enodes) 0.495 * * [simplify]: Extracting #0: cost 1 inf + 0 0.495 * * [simplify]: Extracting #1: cost 4 inf + 0 0.495 * * [simplify]: Extracting #2: cost 7 inf + 0 0.496 * * [simplify]: Extracting #3: cost 48 inf + 0 0.496 * * [simplify]: Extracting #4: cost 64 inf + 126 0.497 * * [simplify]: Extracting #5: cost 28 inf + 3789 0.498 * * [simplify]: Extracting #6: cost 1 inf + 6840 0.500 * * [simplify]: Extracting #7: cost 0 inf + 6922 0.502 * [simplify]: Simplified to (fabs (cbrt (- (* x x) 1))) 0.502 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))))))) 0.502 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 0.502 * [simplify]: Simplifying (sqrt (sqrt (- (* x x) 1))) 0.502 * * [simplify]: iters left: 6 (6 enodes) 0.504 * * [simplify]: iters left: 5 (26 enodes) 0.509 * * [simplify]: iters left: 4 (37 enodes) 0.514 * * [simplify]: iters left: 3 (53 enodes) 0.529 * * [simplify]: iters left: 2 (90 enodes) 0.543 * * [simplify]: iters left: 1 (132 enodes) 0.577 * * [simplify]: Extracting #0: cost 1 inf + 0 0.578 * * [simplify]: Extracting #1: cost 3 inf + 0 0.578 * * [simplify]: Extracting #2: cost 5 inf + 0 0.578 * * [simplify]: Extracting #3: cost 44 inf + 0 0.578 * * [simplify]: Extracting #4: cost 60 inf + 169 0.579 * * [simplify]: Extracting #5: cost 14 inf + 4649 0.580 * * [simplify]: Extracting #6: cost 0 inf + 6317 0.582 * [simplify]: Simplified to (sqrt (sqrt (- (* x x) 1))) 0.582 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))))))) 0.582 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 0.582 * [simplify]: Simplifying (sqrt 1) 0.582 * * [simplify]: iters left: 1 (2 enodes) 0.584 * * [simplify]: Extracting #0: cost 1 inf + 0 0.584 * * [simplify]: Extracting #1: cost 0 inf + 1 0.585 * [simplify]: Simplified to 1 0.585 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (sqrt (- (* x x) 1)))))) 0.585 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 0.585 * [simplify]: Simplifying (sqrt (+ x (sqrt 1))) 0.585 * * [simplify]: iters left: 4 (5 enodes) 0.587 * * [simplify]: iters left: 3 (18 enodes) 0.590 * * [simplify]: iters left: 2 (20 enodes) 0.593 * * [simplify]: Extracting #0: cost 1 inf + 0 0.593 * * [simplify]: Extracting #1: cost 3 inf + 0 0.593 * * [simplify]: Extracting #2: cost 6 inf + 0 0.593 * * [simplify]: Extracting #3: cost 4 inf + 2 0.593 * * [simplify]: Extracting #4: cost 0 inf + 250 0.593 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.593 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x (sqrt 1))))))) 0.593 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 0.594 * [simplify]: Simplifying (sqrt (+ x 1)) 0.594 * * [simplify]: iters left: 3 (4 enodes) 0.595 * * [simplify]: iters left: 2 (15 enodes) 0.597 * * [simplify]: iters left: 1 (17 enodes) 0.600 * * [simplify]: Extracting #0: cost 1 inf + 0 0.600 * * [simplify]: Extracting #1: cost 3 inf + 0 0.600 * * [simplify]: Extracting #2: cost 6 inf + 0 0.600 * * [simplify]: Extracting #3: cost 2 inf + 86 0.600 * * [simplify]: Extracting #4: cost 1 inf + 168 0.600 * * [simplify]: Extracting #5: cost 0 inf + 250 0.600 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.600 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1)))))) 0.600 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 0.600 * [simplify]: Simplifying (sqrt (+ x 1)) 0.600 * * [simplify]: iters left: 3 (4 enodes) 0.602 * * [simplify]: iters left: 2 (15 enodes) 0.604 * * [simplify]: iters left: 1 (17 enodes) 0.607 * * [simplify]: Extracting #0: cost 1 inf + 0 0.607 * * [simplify]: Extracting #1: cost 3 inf + 0 0.607 * * [simplify]: Extracting #2: cost 6 inf + 0 0.607 * * [simplify]: Extracting #3: cost 2 inf + 86 0.607 * * [simplify]: Extracting #4: cost 1 inf + 168 0.607 * * [simplify]: Extracting #5: cost 0 inf + 250 0.607 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.607 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1)))))) 0.607 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 0.608 * [simplify]: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) 0.608 * * [simplify]: iters left: 6 (8 enodes) 0.614 * * [simplify]: iters left: 5 (39 enodes) 0.629 * * [simplify]: iters left: 4 (80 enodes) 0.657 * * [simplify]: iters left: 3 (149 enodes) 0.697 * * [simplify]: iters left: 2 (298 enodes) 0.810 * * [simplify]: Extracting #0: cost 1 inf + 0 0.810 * * [simplify]: Extracting #1: cost 3 inf + 0 0.810 * * [simplify]: Extracting #2: cost 31 inf + 0 0.811 * * [simplify]: Extracting #3: cost 128 inf + 2 0.812 * * [simplify]: Extracting #4: cost 176 inf + 885 0.814 * * [simplify]: Extracting #5: cost 159 inf + 6736 0.819 * * [simplify]: Extracting #6: cost 77 inf + 32760 0.829 * * [simplify]: Extracting #7: cost 2 inf + 61285 0.839 * * [simplify]: Extracting #8: cost 0 inf + 61840 0.850 * [simplify]: Simplified to (sqrt (- (* (* (* x x) (* x x)) (* x x)) 1)) 0.850 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (sqrt (- (* (* (* x x) (* x x)) (* x x)) 1)) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))))))) 0.850 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 0.850 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) 0.850 * * [simplify]: iters left: 6 (7 enodes) 0.854 * * [simplify]: iters left: 5 (28 enodes) 0.862 * * [simplify]: iters left: 4 (39 enodes) 0.873 * * [simplify]: iters left: 3 (59 enodes) 0.895 * * [simplify]: iters left: 2 (106 enodes) 0.933 * * [simplify]: iters left: 1 (251 enodes) 1.005 * * [simplify]: Extracting #0: cost 1 inf + 0 1.005 * * [simplify]: Extracting #1: cost 3 inf + 0 1.006 * * [simplify]: Extracting #2: cost 47 inf + 0 1.006 * * [simplify]: Extracting #3: cost 106 inf + 2 1.008 * * [simplify]: Extracting #4: cost 121 inf + 1185 1.013 * * [simplify]: Extracting #5: cost 53 inf + 10370 1.020 * * [simplify]: Extracting #6: cost 15 inf + 17105 1.028 * * [simplify]: Extracting #7: cost 3 inf + 21444 1.036 * * [simplify]: Extracting #8: cost 0 inf + 22582 1.045 * [simplify]: Simplified to (sqrt (+ (* (* x x) (* x x)) -1)) 1.045 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (sqrt (+ (* (* x x) (* x x)) -1)) (sqrt (+ (* x x) 1)))))) 1.045 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 1.046 * [simplify]: Simplifying (- (* x x) 1) 1.046 * * [simplify]: iters left: 4 (4 enodes) 1.050 * * [simplify]: iters left: 3 (20 enodes) 1.059 * * [simplify]: iters left: 2 (31 enodes) 1.069 * * [simplify]: iters left: 1 (47 enodes) 1.091 * * [simplify]: Extracting #0: cost 1 inf + 0 1.091 * * [simplify]: Extracting #1: cost 10 inf + 0 1.091 * * [simplify]: Extracting #2: cost 19 inf + 2 1.091 * * [simplify]: Extracting #3: cost 18 inf + 3 1.092 * * [simplify]: Extracting #4: cost 4 inf + 749 1.092 * * [simplify]: Extracting #5: cost 0 inf + 1077 1.093 * [simplify]: Simplified to (- (* x x) 1) 1.093 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x x) 1) (/ 1 2))))) 1.093 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 1.093 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 1.094 * [simplify]: Simplifying (sqrt (- (* x x) 1)) 1.094 * * [simplify]: iters left: 5 (5 enodes) 1.097 * * [simplify]: iters left: 4 (23 enodes) 1.104 * * [simplify]: iters left: 3 (34 enodes) 1.114 * * [simplify]: iters left: 2 (50 enodes) 1.133 * * [simplify]: iters left: 1 (87 enodes) 1.156 * * [simplify]: Extracting #0: cost 1 inf + 0 1.156 * * [simplify]: Extracting #1: cost 3 inf + 0 1.156 * * [simplify]: Extracting #2: cost 25 inf + 0 1.156 * * [simplify]: Extracting #3: cost 19 inf + 942 1.157 * * [simplify]: Extracting #4: cost 2 inf + 2293 1.158 * * [simplify]: Extracting #5: cost 0 inf + 2496 1.158 * [simplify]: Simplified to (sqrt (- (* x x) 1)) 1.158 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (fabs (sqrt (- (* x x) 1)))))) 1.158 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 1.158 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 1.158 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 1.159 * [simplify]: Simplifying (* (exp x) (exp (sqrt (- (* x x) 1)))) 1.159 * * [simplify]: iters left: 6 (8 enodes) 1.161 * * [simplify]: iters left: 5 (35 enodes) 1.166 * * [simplify]: iters left: 4 (50 enodes) 1.174 * * [simplify]: iters left: 3 (66 enodes) 1.187 * * [simplify]: iters left: 2 (103 enodes) 1.214 * * [simplify]: iters left: 1 (145 enodes) 1.244 * * [simplify]: Extracting #0: cost 1 inf + 0 1.244 * * [simplify]: Extracting #1: cost 5 inf + 0 1.244 * * [simplify]: Extracting #2: cost 10 inf + 0 1.244 * * [simplify]: Extracting #3: cost 11 inf + 1 1.244 * * [simplify]: Extracting #4: cost 48 inf + 143 1.245 * * [simplify]: Extracting #5: cost 37 inf + 3569 1.247 * * [simplify]: Extracting #6: cost 1 inf + 7251 1.249 * * [simplify]: Extracting #7: cost 0 inf + 7266 1.251 * [simplify]: Simplified to (exp (+ (sqrt (- (* x x) 1)) x)) 1.251 * [simplify]: Simplified (2 1 1) to (λ (x) (log (log (exp (+ (sqrt (- (* x x) 1)) x))))) 1.251 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 1.251 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 1.251 * [simplify]: Simplifying (+ x (sqrt (- (* x x) 1))) 1.252 * * [simplify]: iters left: 6 (6 enodes) 1.253 * * [simplify]: iters left: 5 (27 enodes) 1.258 * * [simplify]: iters left: 4 (38 enodes) 1.263 * * [simplify]: iters left: 3 (54 enodes) 1.279 * * [simplify]: iters left: 2 (91 enodes) 1.295 * * [simplify]: iters left: 1 (133 enodes) 1.329 * * [simplify]: Extracting #0: cost 1 inf + 0 1.329 * * [simplify]: Extracting #1: cost 4 inf + 0 1.329 * * [simplify]: Extracting #2: cost 5 inf + 1 1.329 * * [simplify]: Extracting #3: cost 44 inf + 1 1.329 * * [simplify]: Extracting #4: cost 54 inf + 659 1.331 * * [simplify]: Extracting #5: cost 9 inf + 5142 1.334 * * [simplify]: Extracting #6: cost 0 inf + 6277 1.338 * * [simplify]: Extracting #7: cost 0 inf + 6237 1.341 * [simplify]: Simplified to (+ x (sqrt (- (* x x) 1))) 1.341 * [simplify]: Simplified (2 1 2) to (λ (x) (log (* 1 (+ x (sqrt (- (* x x) 1)))))) 1.341 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 1.341 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 1.341 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 1.342 * [simplify]: Simplifying (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 1.342 * * [simplify]: iters left: 6 (15 enodes) 1.352 * * [simplify]: iters left: 5 (63 enodes) 1.368 * * [simplify]: iters left: 4 (93 enodes) 1.382 * * [simplify]: iters left: 3 (124 enodes) 1.405 * * [simplify]: iters left: 2 (163 enodes) 1.431 * * [simplify]: iters left: 1 (241 enodes) 1.495 * * [simplify]: Extracting #0: cost 1 inf + 0 1.495 * * [simplify]: Extracting #1: cost 8 inf + 0 1.496 * * [simplify]: Extracting #2: cost 59 inf + 0 1.496 * * [simplify]: Extracting #3: cost 87 inf + 127 1.498 * * [simplify]: Extracting #4: cost 19 inf + 8843 1.501 * * [simplify]: Extracting #5: cost 2 inf + 11487 1.504 * * [simplify]: Extracting #6: cost 0 inf + 11893 1.507 * [simplify]: Simplified to (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x))))) 1.507 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x)))))))) 1.507 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 1.507 * [simplify]: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.507 * * [simplify]: iters left: 6 (12 enodes) 1.511 * * [simplify]: iters left: 5 (57 enodes) 1.523 * * [simplify]: iters left: 4 (97 enodes) 1.554 * * [simplify]: iters left: 3 (170 enodes) 1.582 * * [simplify]: iters left: 2 (285 enodes) 1.657 * * [simplify]: Extracting #0: cost 1 inf + 0 1.657 * * [simplify]: Extracting #1: cost 17 inf + 0 1.658 * * [simplify]: Extracting #2: cost 72 inf + 1 1.658 * * [simplify]: Extracting #3: cost 124 inf + 335 1.660 * * [simplify]: Extracting #4: cost 87 inf + 7689 1.664 * * [simplify]: Extracting #5: cost 20 inf + 28115 1.669 * * [simplify]: Extracting #6: cost 1 inf + 32556 1.673 * * [simplify]: Extracting #7: cost 0 inf + 32506 1.678 * [simplify]: Simplified to (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x)) 1.678 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x))))) 1.678 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 1.678 * [simplify]: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 1.678 * * [simplify]: iters left: 6 (12 enodes) 1.683 * * [simplify]: iters left: 5 (57 enodes) 1.695 * * [simplify]: iters left: 4 (96 enodes) 1.726 * * [simplify]: iters left: 3 (144 enodes) 1.773 * * [simplify]: iters left: 2 (225 enodes) 1.819 * * [simplify]: iters left: 1 (447 enodes) 2.024 * * [simplify]: Extracting #0: cost 1 inf + 0 2.024 * * [simplify]: Extracting #1: cost 16 inf + 0 2.024 * * [simplify]: Extracting #2: cost 143 inf + 42 2.025 * * [simplify]: Extracting #3: cost 262 inf + 620 2.027 * * [simplify]: Extracting #4: cost 227 inf + 7352 2.032 * * [simplify]: Extracting #5: cost 113 inf + 63033 2.053 * * [simplify]: Extracting #6: cost 6 inf + 122361 2.065 * * [simplify]: Extracting #7: cost 0 inf + 123770 2.077 * * [simplify]: Extracting #8: cost 0 inf + 123691 2.092 * [simplify]: Simplified to (- (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x)) x) 2.092 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (- (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x)) x)))) 2.092 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 2.092 * [simplify]: Simplifying (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 2.093 * * [simplify]: iters left: 6 (10 enodes) 2.102 * * [simplify]: iters left: 5 (42 enodes) 2.115 * * [simplify]: iters left: 4 (64 enodes) 2.133 * * [simplify]: iters left: 3 (86 enodes) 2.156 * * [simplify]: iters left: 2 (100 enodes) 2.184 * * [simplify]: iters left: 1 (120 enodes) 2.217 * * [simplify]: Extracting #0: cost 1 inf + 0 2.217 * * [simplify]: Extracting #1: cost 8 inf + 0 2.217 * * [simplify]: Extracting #2: cost 26 inf + 1 2.217 * * [simplify]: Extracting #3: cost 33 inf + 332 2.218 * * [simplify]: Extracting #4: cost 10 inf + 2581 2.220 * * [simplify]: Extracting #5: cost 0 inf + 4169 2.222 * [simplify]: Simplified to (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))) 2.222 * [simplify]: Simplified (2 1) to (λ (x) (log (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))))) 2.222 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 2.222 * [simplify]: Simplifying (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 2.223 * * [simplify]: iters left: 6 (14 enodes) 2.232 * * [simplify]: iters left: 5 (63 enodes) 2.256 * * [simplify]: iters left: 4 (101 enodes) 2.289 * * [simplify]: iters left: 3 (174 enodes) 2.323 * * [simplify]: iters left: 2 (289 enodes) 2.420 * * [simplify]: Extracting #0: cost 1 inf + 0 2.420 * * [simplify]: Extracting #1: cost 17 inf + 0 2.420 * * [simplify]: Extracting #2: cost 76 inf + 0 2.421 * * [simplify]: Extracting #3: cost 132 inf + 6 2.422 * * [simplify]: Extracting #4: cost 113 inf + 2471 2.427 * * [simplify]: Extracting #5: cost 46 inf + 18924 2.434 * * [simplify]: Extracting #6: cost 1 inf + 36409 2.442 * * [simplify]: Extracting #7: cost 0 inf + 36461 2.450 * [simplify]: Simplified to (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))) 2.450 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))))) 2.450 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 2.451 * [simplify]: Simplifying (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 2.451 * * [simplify]: iters left: 6 (17 enodes) 2.463 * * [simplify]: iters left: 5 (78 enodes) 2.497 * * [simplify]: iters left: 4 (129 enodes) 2.541 * * [simplify]: iters left: 3 (209 enodes) 2.591 * * [simplify]: iters left: 2 (357 enodes) 2.662 * * [simplify]: Extracting #0: cost 1 inf + 0 2.662 * * [simplify]: Extracting #1: cost 8 inf + 0 2.662 * * [simplify]: Extracting #2: cost 71 inf + 0 2.663 * * [simplify]: Extracting #3: cost 160 inf + 87 2.664 * * [simplify]: Extracting #4: cost 159 inf + 1823 2.665 * * [simplify]: Extracting #5: cost 109 inf + 16770 2.669 * * [simplify]: Extracting #6: cost 17 inf + 53698 2.677 * * [simplify]: Extracting #7: cost 0 inf + 61584 2.682 * [simplify]: Simplified to (+ (+ (/ 1/16 (pow x 5)) (/ 1/2 x)) (/ (/ (/ 1/8 x) x) x)) 2.682 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (+ (/ 1/16 (pow x 5)) (/ 1/2 x)) (/ (/ (/ 1/8 x) x) x)))) 2.682 * * * [progress]: adding candidates to table 2.915 * * [progress]: iteration 2 / 4 2.915 * * * [progress]: picking best candidate 2.917 * * * * [pick]: Picked # 2.917 * * * [progress]: localizing error 2.944 * * * [progress]: generating rewritten candidates 2.944 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.995 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.005 * * * [progress]: generating series expansions 3.005 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 3.005 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 3.005 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 3.005 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.005 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.005 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.005 * [taylor]: Taking taylor expansion of x in x 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [taylor]: Taking taylor expansion of 1 in x 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [taylor]: Taking taylor expansion of (- x 1) in x 3.005 * [taylor]: Taking taylor expansion of x in x 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.006 * [taylor]: Taking taylor expansion of 1 in x 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (+ 0 1) into 1 3.007 * [backup-simplify]: Simplify (- 1) into -1 3.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.007 * [backup-simplify]: Simplify (* 1 -1) into -1 3.008 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.010 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.010 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.010 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.011 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of 1 in x 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of (- x 1) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of 1 in x 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (+ 0 1) into 1 3.012 * [backup-simplify]: Simplify (- 1) into -1 3.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.013 * [backup-simplify]: Simplify (* 1 -1) into -1 3.014 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.014 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ 1 0) into 1 3.015 * [backup-simplify]: Simplify (+ 1 0) into 1 3.016 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.017 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (- 0) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 3.022 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.022 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 3.023 * [backup-simplify]: Simplify (- 0) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (- 0) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.033 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 3.034 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 3.036 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.037 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 3.037 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 3.037 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.037 * [taylor]: Taking taylor expansion of 1 in x 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of 1 in x 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (sqrt 1) into 1 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- 1) into -1 3.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 1) into 1 3.041 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.042 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.042 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [taylor]: Taking taylor expansion of 1 in x 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [taylor]: Taking taylor expansion of 1 in x 3.042 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (+ 1 0) into 1 3.043 * [backup-simplify]: Simplify (+ 1 0) into 1 3.043 * [backup-simplify]: Simplify (* 1 1) into 1 3.043 * [backup-simplify]: Simplify (sqrt 1) into 1 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- 1) into -1 3.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ 0 1) into 1 3.046 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 3.049 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.049 * [backup-simplify]: Simplify -1/2 into -1/2 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 3.055 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.055 * [backup-simplify]: Simplify -1/8 into -1/8 3.056 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.056 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 3.056 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 3.056 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.056 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.056 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.056 * [taylor]: Taking taylor expansion of x in x 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [taylor]: Taking taylor expansion of 1 in x 3.056 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (+ 1 0) into 1 3.057 * [backup-simplify]: Simplify (- 1) into -1 3.057 * [backup-simplify]: Simplify (sqrt 0) into 0 3.057 * [backup-simplify]: Simplify (- 1) into -1 3.058 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.058 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.058 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.058 * [taylor]: Taking taylor expansion of 1 in x 3.058 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.059 * [taylor]: Taking taylor expansion of x in x 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [backup-simplify]: Simplify (/ 1 1) into 1 3.059 * [backup-simplify]: Simplify (- 1) into -1 3.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.060 * [backup-simplify]: Simplify (sqrt 0) into 0 3.060 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.060 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.060 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.060 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.060 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (/ 1 1) into 1 3.061 * [taylor]: Taking taylor expansion of 1 in x 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ 1 0) into 1 3.061 * [backup-simplify]: Simplify (- 1) into -1 3.061 * [backup-simplify]: Simplify (sqrt 0) into 0 3.062 * [backup-simplify]: Simplify (- 1) into -1 3.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.063 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.063 * [taylor]: Taking taylor expansion of 1 in x 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (/ 1 1) into 1 3.063 * [backup-simplify]: Simplify (- 1) into -1 3.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.064 * [backup-simplify]: Simplify (sqrt 0) into 0 3.064 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.065 * [backup-simplify]: Simplify (* 0 0) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (- 0) into 0 3.066 * [backup-simplify]: Simplify (+ 1 0) into 1 3.068 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ 0 1) into 1 3.069 * [backup-simplify]: Simplify (- 1) into -1 3.071 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.072 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 3.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.084 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 3.084 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (- 0) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify (- 0) into 0 3.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.100 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 3.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.102 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.102 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.102 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 3.102 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 3.102 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 3.102 * [taylor]: Taking taylor expansion of x in x 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.102 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.102 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.102 * [taylor]: Taking taylor expansion of x in x 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of 1 in x 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [taylor]: Taking taylor expansion of (- x 1) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [taylor]: Taking taylor expansion of 1 in x 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (+ 0 1) into 1 3.103 * [backup-simplify]: Simplify (- 1) into -1 3.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.104 * [backup-simplify]: Simplify (* 1 -1) into -1 3.105 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.105 * [backup-simplify]: Simplify (- 0) into 0 3.105 * [backup-simplify]: Simplify (+ 1 0) into 1 3.106 * [backup-simplify]: Simplify (+ 1 0) into 1 3.106 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.107 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.107 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.107 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of 1 in x 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of (- x 1) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of 1 in x 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (+ 0 1) into 1 3.108 * [backup-simplify]: Simplify (- 1) into -1 3.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.109 * [backup-simplify]: Simplify (* 1 -1) into -1 3.109 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.109 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify (+ 1 0) into 1 3.110 * [backup-simplify]: Simplify (+ 1 0) into 1 3.111 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.112 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 3.113 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.113 * [backup-simplify]: Simplify (+ 1 0) into 1 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 3.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.119 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 3.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.122 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.122 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 3.122 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 3.122 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 3.122 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [taylor]: Taking taylor expansion of 1 in x 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of 1 in x 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [backup-simplify]: Simplify (* 1 1) into 1 3.124 * [backup-simplify]: Simplify (sqrt 1) into 1 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (- 1) into -1 3.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 1) into 1 3.128 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.128 * [taylor]: Taking taylor expansion of x in x 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 3.129 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.129 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.129 * [taylor]: Taking taylor expansion of x in x 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of 1 in x 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.129 * [taylor]: Taking taylor expansion of x in x 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [taylor]: Taking taylor expansion of 1 in x 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.131 * [backup-simplify]: Simplify (sqrt 1) into 1 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (- 1) into -1 3.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 1) into 1 3.134 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (/ 1 1) into 1 3.136 * [backup-simplify]: Simplify (+ 1 1) into 2 3.136 * [backup-simplify]: Simplify 2 into 2 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 3.141 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.143 * [backup-simplify]: Simplify -1/2 into -1/2 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (- 0) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 3.151 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.152 * [backup-simplify]: Simplify -1/8 into -1/8 3.152 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.152 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 3.152 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 3.152 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 3.152 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.152 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.152 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [taylor]: Taking taylor expansion of 1 in x 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (- 1) into -1 3.153 * [backup-simplify]: Simplify (sqrt 0) into 0 3.154 * [backup-simplify]: Simplify (- 1) into -1 3.155 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.155 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.155 * [taylor]: Taking taylor expansion of 1 in x 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [backup-simplify]: Simplify (- 1) into -1 3.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.156 * [backup-simplify]: Simplify (sqrt 0) into 0 3.157 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.157 * [taylor]: Taking taylor expansion of x in x 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 3.157 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.157 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.157 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.157 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.157 * [taylor]: Taking taylor expansion of x in x 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [taylor]: Taking taylor expansion of 1 in x 3.157 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (+ 1 0) into 1 3.158 * [backup-simplify]: Simplify (- 1) into -1 3.158 * [backup-simplify]: Simplify (sqrt 0) into 0 3.158 * [backup-simplify]: Simplify (- 1) into -1 3.159 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.159 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.159 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.159 * [taylor]: Taking taylor expansion of 1 in x 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [backup-simplify]: Simplify (- 1) into -1 3.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.160 * [backup-simplify]: Simplify (sqrt 0) into 0 3.161 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.161 * [taylor]: Taking taylor expansion of x in x 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [backup-simplify]: Simplify (* 0 0) into 0 3.162 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.163 * [backup-simplify]: Simplify (- 1) into -1 3.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.163 * [backup-simplify]: Simplify -1 into -1 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.164 * [backup-simplify]: Simplify (+ 1 0) into 1 3.166 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 1) into 1 3.167 * [backup-simplify]: Simplify (- 1) into -1 3.168 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.170 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.171 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (- 0) into 0 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.180 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- 0) into 0 3.182 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.182 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 3.183 * * * [progress]: simplifying candidates 3.183 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 3.183 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 3.183 * * [simplify]: iters left: 4 (5 enodes) 3.187 * * [simplify]: iters left: 3 (22 enodes) 3.194 * * [simplify]: iters left: 2 (40 enodes) 3.209 * * [simplify]: iters left: 1 (74 enodes) 3.230 * * [simplify]: Extracting #0: cost 1 inf + 0 3.230 * * [simplify]: Extracting #1: cost 19 inf + 0 3.230 * * [simplify]: Extracting #2: cost 23 inf + 3 3.231 * * [simplify]: Extracting #3: cost 9 inf + 908 3.232 * * [simplify]: Extracting #4: cost 0 inf + 1844 3.233 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 3.233 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x (+ 1 x)) (+ 1 x)) 1/2)))) 3.233 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 3.233 * [simplify]: Simplifying (* (sqrt (+ x 1)) (sqrt (- x 1))) 3.233 * * [simplify]: iters left: 5 (7 enodes) 3.237 * * [simplify]: iters left: 4 (28 enodes) 3.246 * * [simplify]: iters left: 3 (32 enodes) 3.254 * * [simplify]: Extracting #0: cost 1 inf + 0 3.254 * * [simplify]: Extracting #1: cost 4 inf + 0 3.254 * * [simplify]: Extracting #2: cost 8 inf + 0 3.254 * * [simplify]: Extracting #3: cost 13 inf + 0 3.254 * * [simplify]: Extracting #4: cost 10 inf + 3 3.254 * * [simplify]: Extracting #5: cost 4 inf + 375 3.255 * * [simplify]: Extracting #6: cost 1 inf + 701 3.255 * * [simplify]: Extracting #7: cost 0 inf + 903 3.255 * [simplify]: Simplified to (* (sqrt (+ 1 x)) (sqrt (- x 1))) 3.255 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (* (sqrt (+ 1 x)) (sqrt (- x 1))) 1)))) 3.256 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 3.256 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 3.256 * * [simplify]: iters left: 4 (5 enodes) 3.260 * * [simplify]: iters left: 3 (22 enodes) 3.267 * * [simplify]: iters left: 2 (40 enodes) 3.282 * * [simplify]: iters left: 1 (74 enodes) 3.295 * * [simplify]: Extracting #0: cost 1 inf + 0 3.295 * * [simplify]: Extracting #1: cost 19 inf + 0 3.295 * * [simplify]: Extracting #2: cost 23 inf + 3 3.295 * * [simplify]: Extracting #3: cost 9 inf + 908 3.296 * * [simplify]: Extracting #4: cost 0 inf + 1844 3.296 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 3.296 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x (+ 1 x)) (+ 1 x)) (/ 1 2))))) 3.296 * [simplify]: Simplifying (/ 1 2) 3.296 * * [simplify]: iters left: 2 (3 enodes) 3.298 * * [simplify]: iters left: 1 (12 enodes) 3.301 * * [simplify]: Extracting #0: cost 1 inf + 0 3.301 * * [simplify]: Extracting #1: cost 0 inf + 1 3.301 * [simplify]: Simplified to 1/2 3.301 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (pow (* (+ x 1) (- x 1)) 1/2)))) 3.301 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 3.301 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 3.301 * [simplify]: Simplifying (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) 3.301 * * [simplify]: iters left: 6 (9 enodes) 3.303 * * [simplify]: iters left: 5 (34 enodes) 3.310 * * [simplify]: iters left: 4 (38 enodes) 3.317 * * [simplify]: Extracting #0: cost 1 inf + 0 3.317 * * [simplify]: Extracting #1: cost 4 inf + 0 3.317 * * [simplify]: Extracting #2: cost 8 inf + 0 3.317 * * [simplify]: Extracting #3: cost 12 inf + 0 3.317 * * [simplify]: Extracting #4: cost 17 inf + 0 3.317 * * [simplify]: Extracting #5: cost 14 inf + 3 3.318 * * [simplify]: Extracting #6: cost 10 inf + 211 3.318 * * [simplify]: Extracting #7: cost 4 inf + 803 3.318 * * [simplify]: Extracting #8: cost 0 inf + 1791 3.319 * [simplify]: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt (+ 1 x)))) 3.319 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (exp (+ (log (sqrt (- x 1))) (log (sqrt (+ 1 x)))))))) 3.319 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 3.319 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 3.319 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 3.320 * [simplify]: Simplifying (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) 3.320 * * [simplify]: iters left: 6 (11 enodes) 3.326 * * [simplify]: iters left: 5 (42 enodes) 3.338 * * [simplify]: iters left: 4 (85 enodes) 3.355 * * [simplify]: iters left: 3 (207 enodes) 3.476 * * [simplify]: Extracting #0: cost 1 inf + 0 3.476 * * [simplify]: Extracting #1: cost 36 inf + 0 3.477 * * [simplify]: Extracting #2: cost 118 inf + 1 3.478 * * [simplify]: Extracting #3: cost 136 inf + 172 3.480 * * [simplify]: Extracting #4: cost 110 inf + 2596 3.487 * * [simplify]: Extracting #5: cost 29 inf + 22705 3.502 * * [simplify]: Extracting #6: cost 0 inf + 30584 3.515 * [simplify]: Simplified to (* (* (sqrt (+ x -1)) (+ x -1)) (* (sqrt (+ 1 x)) (+ 1 x))) 3.515 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (cbrt (* (* (sqrt (+ x -1)) (+ x -1)) (* (sqrt (+ 1 x)) (+ 1 x))))))) 3.515 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 3.515 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 3.515 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 3.516 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 3.516 * * [simplify]: iters left: 4 (5 enodes) 3.520 * * [simplify]: iters left: 3 (22 enodes) 3.527 * * [simplify]: iters left: 2 (40 enodes) 3.536 * * [simplify]: iters left: 1 (74 enodes) 3.547 * * [simplify]: Extracting #0: cost 1 inf + 0 3.547 * * [simplify]: Extracting #1: cost 19 inf + 0 3.547 * * [simplify]: Extracting #2: cost 23 inf + 3 3.547 * * [simplify]: Extracting #3: cost 9 inf + 908 3.548 * * [simplify]: Extracting #4: cost 0 inf + 1844 3.548 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 3.548 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (sqrt (- (* x (+ 1 x)) (+ 1 x)))))) 3.548 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 3.548 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 3.548 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) 3.548 * * [simplify]: iters left: 6 (10 enodes) 3.552 * * [simplify]: iters left: 5 (45 enodes) 3.559 * * [simplify]: iters left: 4 (68 enodes) 3.579 * * [simplify]: iters left: 3 (101 enodes) 3.613 * * [simplify]: iters left: 2 (161 enodes) 3.673 * * [simplify]: iters left: 1 (337 enodes) 3.820 * * [simplify]: Extracting #0: cost 1 inf + 0 3.820 * * [simplify]: Extracting #1: cost 4 inf + 0 3.820 * * [simplify]: Extracting #2: cost 8 inf + 0 3.820 * * [simplify]: Extracting #3: cost 42 inf + 0 3.820 * * [simplify]: Extracting #4: cost 134 inf + 2 3.822 * * [simplify]: Extracting #5: cost 192 inf + 1936 3.824 * * [simplify]: Extracting #6: cost 180 inf + 4629 3.829 * * [simplify]: Extracting #7: cost 110 inf + 32376 3.846 * * [simplify]: Extracting #8: cost 13 inf + 83570 3.862 * * [simplify]: Extracting #9: cost 0 inf + 92381 3.877 * [simplify]: Simplified to (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) 3.877 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))))))) 3.878 * [simplify]: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) 3.878 * * [simplify]: iters left: 6 (12 enodes) 3.885 * * [simplify]: iters left: 5 (44 enodes) 3.898 * * [simplify]: iters left: 4 (70 enodes) 3.919 * * [simplify]: iters left: 3 (92 enodes) 3.929 * * [simplify]: iters left: 2 (106 enodes) 3.942 * * [simplify]: iters left: 1 (127 enodes) 3.974 * * [simplify]: Extracting #0: cost 1 inf + 0 3.974 * * [simplify]: Extracting #1: cost 4 inf + 0 3.974 * * [simplify]: Extracting #2: cost 8 inf + 0 3.974 * * [simplify]: Extracting #3: cost 24 inf + 0 3.975 * * [simplify]: Extracting #4: cost 30 inf + 412 3.976 * * [simplify]: Extracting #5: cost 4 inf + 2810 3.977 * * [simplify]: Extracting #6: cost 0 inf + 3338 3.979 * [simplify]: Simplified to (* (sqrt (- (* x x) (- x 1))) (sqrt (+ (* x x) (+ x 1)))) 3.979 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (- (* x x) (- x 1))) (sqrt (+ (* x x) (+ x 1)))))))) 3.979 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 3.979 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) 3.979 * * [simplify]: iters left: 6 (12 enodes) 3.987 * * [simplify]: iters left: 5 (47 enodes) 4.002 * * [simplify]: iters left: 4 (68 enodes) 4.025 * * [simplify]: iters left: 3 (101 enodes) 4.057 * * [simplify]: iters left: 2 (158 enodes) 4.093 * * [simplify]: iters left: 1 (292 enodes) 4.219 * * [simplify]: Extracting #0: cost 1 inf + 0 4.219 * * [simplify]: Extracting #1: cost 4 inf + 0 4.219 * * [simplify]: Extracting #2: cost 8 inf + 0 4.220 * * [simplify]: Extracting #3: cost 32 inf + 0 4.220 * * [simplify]: Extracting #4: cost 49 inf + 44 4.221 * * [simplify]: Extracting #5: cost 74 inf + 950 4.223 * * [simplify]: Extracting #6: cost 57 inf + 3755 4.226 * * [simplify]: Extracting #7: cost 22 inf + 19611 4.231 * * [simplify]: Extracting #8: cost 2 inf + 29924 4.237 * * [simplify]: Extracting #9: cost 0 inf + 31061 4.242 * [simplify]: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) 4.242 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))))))) 4.243 * [simplify]: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) 4.243 * * [simplify]: iters left: 6 (11 enodes) 4.249 * * [simplify]: iters left: 5 (38 enodes) 4.259 * * [simplify]: iters left: 4 (55 enodes) 4.273 * * [simplify]: iters left: 3 (72 enodes) 4.281 * * [simplify]: iters left: 2 (85 enodes) 4.293 * * [simplify]: iters left: 1 (103 enodes) 4.314 * * [simplify]: Extracting #0: cost 1 inf + 0 4.314 * * [simplify]: Extracting #1: cost 4 inf + 0 4.314 * * [simplify]: Extracting #2: cost 8 inf + 0 4.314 * * [simplify]: Extracting #3: cost 22 inf + 0 4.314 * * [simplify]: Extracting #4: cost 32 inf + 2 4.314 * * [simplify]: Extracting #5: cost 18 inf + 700 4.316 * * [simplify]: Extracting #6: cost 2 inf + 2128 4.317 * * [simplify]: Extracting #7: cost 0 inf + 2692 4.318 * [simplify]: Simplified to (* (sqrt (+ x 1)) (sqrt (- 1 (- x (* x x))))) 4.318 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ x 1)) (sqrt (- 1 (- x (* x x))))))))) 4.318 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 4.319 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) 4.319 * * [simplify]: iters left: 6 (12 enodes) 4.326 * * [simplify]: iters left: 5 (48 enodes) 4.336 * * [simplify]: iters left: 4 (72 enodes) 4.349 * * [simplify]: iters left: 3 (112 enodes) 4.373 * * [simplify]: iters left: 2 (188 enodes) 4.444 * * [simplify]: iters left: 1 (404 enodes) 4.574 * * [simplify]: Extracting #0: cost 1 inf + 0 4.574 * * [simplify]: Extracting #1: cost 4 inf + 0 4.574 * * [simplify]: Extracting #2: cost 8 inf + 0 4.574 * * [simplify]: Extracting #3: cost 61 inf + 0 4.575 * * [simplify]: Extracting #4: cost 160 inf + 85 4.576 * * [simplify]: Extracting #5: cost 206 inf + 2860 4.579 * * [simplify]: Extracting #6: cost 159 inf + 14455 4.592 * * [simplify]: Extracting #7: cost 79 inf + 57309 4.608 * * [simplify]: Extracting #8: cost 1 inf + 103240 4.625 * * [simplify]: Extracting #9: cost 0 inf + 100699 4.643 * * [simplify]: Extracting #10: cost 0 inf + 100517 4.660 * [simplify]: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) 4.661 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))))))) 4.662 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) 4.662 * * [simplify]: iters left: 6 (11 enodes) 4.669 * * [simplify]: iters left: 5 (39 enodes) 4.680 * * [simplify]: iters left: 4 (53 enodes) 4.690 * * [simplify]: iters left: 3 (58 enodes) 4.697 * * [simplify]: iters left: 2 (59 enodes) 4.704 * * [simplify]: iters left: 1 (62 enodes) 4.713 * * [simplify]: Extracting #0: cost 1 inf + 0 4.713 * * [simplify]: Extracting #1: cost 4 inf + 0 4.713 * * [simplify]: Extracting #2: cost 8 inf + 0 4.713 * * [simplify]: Extracting #3: cost 17 inf + 0 4.713 * * [simplify]: Extracting #4: cost 18 inf + 3 4.713 * * [simplify]: Extracting #5: cost 9 inf + 538 4.713 * * [simplify]: Extracting #6: cost 4 inf + 1027 4.714 * * [simplify]: Extracting #7: cost 0 inf + 1877 4.714 * [simplify]: Simplified to (* (sqrt (+ x -1)) (sqrt (+ (+ 1 x) (* x x)))) 4.714 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (+ x -1)) (sqrt (+ (+ 1 x) (* x x)))))))) 4.714 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 4.715 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) 4.715 * * [simplify]: iters left: 6 (7 enodes) 4.717 * * [simplify]: iters left: 5 (22 enodes) 4.720 * * [simplify]: iters left: 4 (30 enodes) 4.724 * * [simplify]: iters left: 3 (37 enodes) 4.729 * * [simplify]: iters left: 2 (53 enodes) 4.739 * * [simplify]: iters left: 1 (90 enodes) 4.760 * * [simplify]: Extracting #0: cost 1 inf + 0 4.760 * * [simplify]: Extracting #1: cost 24 inf + 0 4.761 * * [simplify]: Extracting #2: cost 26 inf + 127 4.762 * * [simplify]: Extracting #3: cost 2 inf + 2252 4.763 * * [simplify]: Extracting #4: cost 0 inf + 2497 4.764 * [simplify]: Simplified to (- (* x x) 1) 4.764 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (- (* x x) 1) (* (sqrt (- x 1)) (sqrt (+ x 1))))))) 4.764 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt (+ x 1))) 4.765 * * [simplify]: iters left: 5 (7 enodes) 4.768 * * [simplify]: iters left: 4 (28 enodes) 4.776 * * [simplify]: iters left: 3 (32 enodes) 4.785 * * [simplify]: Extracting #0: cost 1 inf + 0 4.785 * * [simplify]: Extracting #1: cost 4 inf + 0 4.785 * * [simplify]: Extracting #2: cost 8 inf + 0 4.785 * * [simplify]: Extracting #3: cost 13 inf + 0 4.785 * * [simplify]: Extracting #4: cost 10 inf + 3 4.785 * * [simplify]: Extracting #5: cost 4 inf + 375 4.786 * * [simplify]: Extracting #6: cost 1 inf + 701 4.786 * * [simplify]: Extracting #7: cost 0 inf + 903 4.786 * [simplify]: Simplified to (* (sqrt (- x 1)) (sqrt (+ 1 x))) 4.786 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (- (* x x) 1) (* (sqrt (- x 1)) (sqrt (+ 1 x))))))) 4.786 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 4.786 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 4.787 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.787 * * [simplify]: iters left: 6 (9 enodes) 4.792 * * [simplify]: iters left: 5 (34 enodes) 4.802 * * [simplify]: iters left: 4 (38 enodes) 4.812 * * [simplify]: Extracting #0: cost 1 inf + 0 4.812 * * [simplify]: Extracting #1: cost 4 inf + 0 4.812 * * [simplify]: Extracting #2: cost 8 inf + 0 4.812 * * [simplify]: Extracting #3: cost 12 inf + 0 4.812 * * [simplify]: Extracting #4: cost 17 inf + 0 4.813 * * [simplify]: Extracting #5: cost 14 inf + 3 4.813 * * [simplify]: Extracting #6: cost 10 inf + 211 4.813 * * [simplify]: Extracting #7: cost 4 inf + 743 4.813 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.814 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.814 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 4.814 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.814 * * [simplify]: iters left: 6 (9 enodes) 4.819 * * [simplify]: iters left: 5 (34 enodes) 4.831 * * [simplify]: iters left: 4 (38 enodes) 4.842 * * [simplify]: Extracting #0: cost 1 inf + 0 4.842 * * [simplify]: Extracting #1: cost 4 inf + 0 4.842 * * [simplify]: Extracting #2: cost 8 inf + 0 4.842 * * [simplify]: Extracting #3: cost 12 inf + 0 4.842 * * [simplify]: Extracting #4: cost 17 inf + 0 4.842 * * [simplify]: Extracting #5: cost 14 inf + 3 4.842 * * [simplify]: Extracting #6: cost 10 inf + 211 4.843 * * [simplify]: Extracting #7: cost 4 inf + 743 4.843 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.844 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.844 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 4.844 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 4.844 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.844 * * [simplify]: iters left: 6 (9 enodes) 4.849 * * [simplify]: iters left: 5 (34 enodes) 4.854 * * [simplify]: iters left: 4 (38 enodes) 4.860 * * [simplify]: Extracting #0: cost 1 inf + 0 4.860 * * [simplify]: Extracting #1: cost 4 inf + 0 4.860 * * [simplify]: Extracting #2: cost 8 inf + 0 4.860 * * [simplify]: Extracting #3: cost 12 inf + 0 4.860 * * [simplify]: Extracting #4: cost 17 inf + 0 4.860 * * [simplify]: Extracting #5: cost 14 inf + 3 4.860 * * [simplify]: Extracting #6: cost 10 inf + 211 4.860 * * [simplify]: Extracting #7: cost 4 inf + 743 4.861 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.861 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.861 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 4.861 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.861 * * [simplify]: iters left: 6 (9 enodes) 4.864 * * [simplify]: iters left: 5 (34 enodes) 4.868 * * [simplify]: iters left: 4 (38 enodes) 4.874 * * [simplify]: Extracting #0: cost 1 inf + 0 4.874 * * [simplify]: Extracting #1: cost 4 inf + 0 4.874 * * [simplify]: Extracting #2: cost 8 inf + 0 4.874 * * [simplify]: Extracting #3: cost 12 inf + 0 4.874 * * [simplify]: Extracting #4: cost 17 inf + 0 4.874 * * [simplify]: Extracting #5: cost 14 inf + 3 4.874 * * [simplify]: Extracting #6: cost 10 inf + 211 4.874 * * [simplify]: Extracting #7: cost 4 inf + 743 4.874 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.875 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.875 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 4.875 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 4.875 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.875 * * [simplify]: iters left: 6 (9 enodes) 4.877 * * [simplify]: iters left: 5 (34 enodes) 4.882 * * [simplify]: iters left: 4 (38 enodes) 4.892 * * [simplify]: Extracting #0: cost 1 inf + 0 4.892 * * [simplify]: Extracting #1: cost 4 inf + 0 4.892 * * [simplify]: Extracting #2: cost 8 inf + 0 4.892 * * [simplify]: Extracting #3: cost 12 inf + 0 4.893 * * [simplify]: Extracting #4: cost 17 inf + 0 4.893 * * [simplify]: Extracting #5: cost 14 inf + 3 4.893 * * [simplify]: Extracting #6: cost 10 inf + 211 4.893 * * [simplify]: Extracting #7: cost 4 inf + 743 4.894 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.894 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.894 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 4.894 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.895 * * [simplify]: iters left: 6 (9 enodes) 4.899 * * [simplify]: iters left: 5 (34 enodes) 4.909 * * [simplify]: iters left: 4 (38 enodes) 4.919 * * [simplify]: Extracting #0: cost 1 inf + 0 4.919 * * [simplify]: Extracting #1: cost 4 inf + 0 4.919 * * [simplify]: Extracting #2: cost 8 inf + 0 4.919 * * [simplify]: Extracting #3: cost 12 inf + 0 4.919 * * [simplify]: Extracting #4: cost 17 inf + 0 4.919 * * [simplify]: Extracting #5: cost 14 inf + 3 4.919 * * [simplify]: Extracting #6: cost 10 inf + 211 4.920 * * [simplify]: Extracting #7: cost 4 inf + 743 4.920 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.921 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.921 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 4.921 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 4.921 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.921 * * [simplify]: iters left: 6 (9 enodes) 4.926 * * [simplify]: iters left: 5 (34 enodes) 4.936 * * [simplify]: iters left: 4 (38 enodes) 4.946 * * [simplify]: Extracting #0: cost 1 inf + 0 4.946 * * [simplify]: Extracting #1: cost 4 inf + 0 4.946 * * [simplify]: Extracting #2: cost 8 inf + 0 4.946 * * [simplify]: Extracting #3: cost 12 inf + 0 4.946 * * [simplify]: Extracting #4: cost 17 inf + 0 4.946 * * [simplify]: Extracting #5: cost 14 inf + 3 4.946 * * [simplify]: Extracting #6: cost 10 inf + 211 4.947 * * [simplify]: Extracting #7: cost 4 inf + 743 4.947 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.950 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.950 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 4.950 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 4.950 * * [simplify]: iters left: 6 (9 enodes) 4.955 * * [simplify]: iters left: 5 (34 enodes) 4.965 * * [simplify]: iters left: 4 (38 enodes) 4.971 * * [simplify]: Extracting #0: cost 1 inf + 0 4.971 * * [simplify]: Extracting #1: cost 4 inf + 0 4.971 * * [simplify]: Extracting #2: cost 8 inf + 0 4.971 * * [simplify]: Extracting #3: cost 12 inf + 0 4.971 * * [simplify]: Extracting #4: cost 17 inf + 0 4.971 * * [simplify]: Extracting #5: cost 14 inf + 3 4.971 * * [simplify]: Extracting #6: cost 10 inf + 211 4.971 * * [simplify]: Extracting #7: cost 4 inf + 743 4.971 * * [simplify]: Extracting #8: cost 0 inf + 1551 4.972 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 4.972 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 4.972 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 4.972 * [simplify]: Simplifying (cbrt (sqrt (- x 1))) 4.972 * * [simplify]: iters left: 4 (5 enodes) 4.974 * * [simplify]: iters left: 3 (20 enodes) 4.977 * * [simplify]: iters left: 2 (24 enodes) 4.980 * * [simplify]: Extracting #0: cost 1 inf + 0 4.980 * * [simplify]: Extracting #1: cost 3 inf + 0 4.980 * * [simplify]: Extracting #2: cost 5 inf + 0 4.980 * * [simplify]: Extracting #3: cost 9 inf + 0 4.980 * * [simplify]: Extracting #4: cost 6 inf + 3 4.980 * * [simplify]: Extracting #5: cost 0 inf + 575 4.981 * [simplify]: Simplified to (cbrt (sqrt (+ x -1))) 4.981 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (cbrt (sqrt (+ x -1))))))) 4.981 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 4.981 * [simplify]: Simplifying (sqrt (cbrt (- x 1))) 4.981 * * [simplify]: iters left: 4 (5 enodes) 4.982 * * [simplify]: iters left: 3 (20 enodes) 4.986 * * [simplify]: iters left: 2 (24 enodes) 4.989 * * [simplify]: Extracting #0: cost 1 inf + 0 4.989 * * [simplify]: Extracting #1: cost 3 inf + 0 4.989 * * [simplify]: Extracting #2: cost 5 inf + 0 4.989 * * [simplify]: Extracting #3: cost 9 inf + 0 4.989 * * [simplify]: Extracting #4: cost 6 inf + 3 4.989 * * [simplify]: Extracting #5: cost 0 inf + 655 4.989 * [simplify]: Simplified to (sqrt (cbrt (+ x -1))) 4.989 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (sqrt (cbrt (+ x -1))))))) 4.989 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 4.989 * [simplify]: Simplifying (sqrt (sqrt (- x 1))) 4.990 * * [simplify]: iters left: 4 (5 enodes) 4.991 * * [simplify]: iters left: 3 (20 enodes) 4.994 * * [simplify]: iters left: 2 (24 enodes) 5.001 * * [simplify]: Extracting #0: cost 1 inf + 0 5.001 * * [simplify]: Extracting #1: cost 3 inf + 0 5.001 * * [simplify]: Extracting #2: cost 5 inf + 0 5.001 * * [simplify]: Extracting #3: cost 9 inf + 0 5.001 * * [simplify]: Extracting #4: cost 6 inf + 3 5.001 * * [simplify]: Extracting #5: cost 0 inf + 495 5.002 * [simplify]: Simplified to (sqrt (sqrt (+ x -1))) 5.002 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x -1))))))) 5.002 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 5.002 * [simplify]: Simplifying (sqrt (- x 1)) 5.002 * * [simplify]: iters left: 3 (4 enodes) 5.005 * * [simplify]: iters left: 2 (17 enodes) 5.010 * * [simplify]: iters left: 1 (21 enodes) 5.016 * * [simplify]: Extracting #0: cost 1 inf + 0 5.016 * * [simplify]: Extracting #1: cost 3 inf + 0 5.016 * * [simplify]: Extracting #2: cost 7 inf + 0 5.016 * * [simplify]: Extracting #3: cost 4 inf + 3 5.016 * * [simplify]: Extracting #4: cost 0 inf + 251 5.016 * [simplify]: Simplified to (sqrt (+ x -1)) 5.016 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ x -1)))))) 5.016 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 5.017 * [simplify]: Simplifying (sqrt (- (sqrt x) (sqrt 1))) 5.017 * * [simplify]: iters left: 4 (6 enodes) 5.020 * * [simplify]: iters left: 3 (22 enodes) 5.028 * * [simplify]: iters left: 2 (31 enodes) 5.036 * * [simplify]: Extracting #0: cost 1 inf + 0 5.036 * * [simplify]: Extracting #1: cost 3 inf + 0 5.036 * * [simplify]: Extracting #2: cost 7 inf + 0 5.037 * * [simplify]: Extracting #3: cost 7 inf + 2 5.037 * * [simplify]: Extracting #4: cost 6 inf + 3 5.037 * * [simplify]: Extracting #5: cost 1 inf + 371 5.037 * * [simplify]: Extracting #6: cost 0 inf + 493 5.037 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.037 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (sqrt (- (sqrt x) 1)))))) 5.038 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 5.038 * [simplify]: Simplifying (sqrt (- (sqrt x) 1)) 5.038 * * [simplify]: iters left: 4 (5 enodes) 5.040 * * [simplify]: iters left: 3 (20 enodes) 5.043 * * [simplify]: iters left: 2 (24 enodes) 5.047 * * [simplify]: Extracting #0: cost 1 inf + 0 5.047 * * [simplify]: Extracting #1: cost 3 inf + 0 5.047 * * [simplify]: Extracting #2: cost 7 inf + 0 5.047 * * [simplify]: Extracting #3: cost 7 inf + 2 5.047 * * [simplify]: Extracting #4: cost 6 inf + 3 5.047 * * [simplify]: Extracting #5: cost 0 inf + 493 5.047 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.047 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (sqrt (- (sqrt x) 1)))))) 5.048 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 5.048 * [simplify]: Simplifying (sqrt (- (sqrt x) 1)) 5.048 * * [simplify]: iters left: 4 (5 enodes) 5.049 * * [simplify]: iters left: 3 (20 enodes) 5.053 * * [simplify]: iters left: 2 (24 enodes) 5.056 * * [simplify]: Extracting #0: cost 1 inf + 0 5.056 * * [simplify]: Extracting #1: cost 3 inf + 0 5.056 * * [simplify]: Extracting #2: cost 7 inf + 0 5.056 * * [simplify]: Extracting #3: cost 7 inf + 2 5.056 * * [simplify]: Extracting #4: cost 6 inf + 3 5.056 * * [simplify]: Extracting #5: cost 0 inf + 493 5.056 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.056 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (sqrt (- (sqrt x) 1)))))) 5.057 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 5.057 * [simplify]: Simplifying (sqrt (- x 1)) 5.057 * * [simplify]: iters left: 3 (4 enodes) 5.058 * * [simplify]: iters left: 2 (17 enodes) 5.065 * * [simplify]: iters left: 1 (21 enodes) 5.071 * * [simplify]: Extracting #0: cost 1 inf + 0 5.071 * * [simplify]: Extracting #1: cost 3 inf + 0 5.071 * * [simplify]: Extracting #2: cost 7 inf + 0 5.071 * * [simplify]: Extracting #3: cost 4 inf + 3 5.071 * * [simplify]: Extracting #4: cost 0 inf + 251 5.072 * [simplify]: Simplified to (sqrt (+ x -1)) 5.072 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ x -1)))))) 5.072 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 5.072 * [simplify]: Simplifying (sqrt (sqrt (- x 1))) 5.072 * * [simplify]: iters left: 4 (5 enodes) 5.075 * * [simplify]: iters left: 3 (20 enodes) 5.081 * * [simplify]: iters left: 2 (24 enodes) 5.087 * * [simplify]: Extracting #0: cost 1 inf + 0 5.087 * * [simplify]: Extracting #1: cost 3 inf + 0 5.087 * * [simplify]: Extracting #2: cost 5 inf + 0 5.087 * * [simplify]: Extracting #3: cost 9 inf + 0 5.088 * * [simplify]: Extracting #4: cost 6 inf + 3 5.088 * * [simplify]: Extracting #5: cost 0 inf + 495 5.088 * [simplify]: Simplified to (sqrt (sqrt (+ x -1))) 5.088 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x -1))))))) 5.088 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 5.088 * [simplify]: Simplifying (sqrt (- x 1)) 5.088 * * [simplify]: iters left: 3 (4 enodes) 5.091 * * [simplify]: iters left: 2 (17 enodes) 5.096 * * [simplify]: iters left: 1 (21 enodes) 5.102 * * [simplify]: Extracting #0: cost 1 inf + 0 5.102 * * [simplify]: Extracting #1: cost 3 inf + 0 5.102 * * [simplify]: Extracting #2: cost 7 inf + 0 5.102 * * [simplify]: Extracting #3: cost 4 inf + 3 5.102 * * [simplify]: Extracting #4: cost 0 inf + 251 5.102 * [simplify]: Simplified to (sqrt (+ x -1)) 5.102 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) 1) (sqrt (+ x -1)))))) 5.103 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 5.103 * [simplify]: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) 5.103 * * [simplify]: iters left: 6 (6 enodes) 5.106 * * [simplify]: iters left: 5 (21 enodes) 5.112 * * [simplify]: iters left: 4 (23 enodes) 5.119 * * [simplify]: Extracting #0: cost 1 inf + 0 5.119 * * [simplify]: Extracting #1: cost 3 inf + 0 5.119 * * [simplify]: Extracting #2: cost 5 inf + 0 5.119 * * [simplify]: Extracting #3: cost 7 inf + 0 5.119 * * [simplify]: Extracting #4: cost 10 inf + 0 5.119 * * [simplify]: Extracting #5: cost 8 inf + 2 5.119 * * [simplify]: Extracting #6: cost 0 inf + 978 5.120 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) 5.120 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.120 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 5.120 * [simplify]: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 5.120 * * [simplify]: iters left: 6 (6 enodes) 5.123 * * [simplify]: iters left: 5 (22 enodes) 5.129 * * [simplify]: iters left: 4 (24 enodes) 5.136 * * [simplify]: Extracting #0: cost 1 inf + 0 5.136 * * [simplify]: Extracting #1: cost 4 inf + 0 5.136 * * [simplify]: Extracting #2: cost 7 inf + 0 5.136 * * [simplify]: Extracting #3: cost 10 inf + 0 5.136 * * [simplify]: Extracting #4: cost 8 inf + 2 5.136 * * [simplify]: Extracting #5: cost 1 inf + 816 5.137 * * [simplify]: Extracting #6: cost 0 inf + 978 5.137 * [simplify]: Simplified to (fabs (cbrt (+ 1 x))) 5.137 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (fabs (cbrt (+ 1 x))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))))))) 5.137 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 5.137 * [simplify]: Simplifying (sqrt (sqrt (+ x 1))) 5.137 * * [simplify]: iters left: 4 (5 enodes) 5.140 * * [simplify]: iters left: 3 (18 enodes) 5.146 * * [simplify]: iters left: 2 (20 enodes) 5.152 * * [simplify]: Extracting #0: cost 1 inf + 0 5.152 * * [simplify]: Extracting #1: cost 3 inf + 0 5.152 * * [simplify]: Extracting #2: cost 5 inf + 0 5.152 * * [simplify]: Extracting #3: cost 8 inf + 0 5.152 * * [simplify]: Extracting #4: cost 6 inf + 2 5.152 * * [simplify]: Extracting #5: cost 0 inf + 494 5.152 * [simplify]: Simplified to (sqrt (sqrt (+ 1 x))) 5.152 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.152 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 5.153 * [simplify]: Simplifying (sqrt 1) 5.153 * * [simplify]: iters left: 1 (2 enodes) 5.156 * * [simplify]: Extracting #0: cost 1 inf + 0 5.156 * * [simplify]: Extracting #1: cost 0 inf + 1 5.156 * [simplify]: Simplified to 1 5.156 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (* (sqrt (+ x 1)) (sqrt (- x 1))))))) 5.156 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 5.156 * [simplify]: Simplifying (sqrt 1) 5.156 * * [simplify]: iters left: 1 (2 enodes) 5.159 * * [simplify]: Extracting #0: cost 1 inf + 0 5.159 * * [simplify]: Extracting #1: cost 0 inf + 1 5.159 * [simplify]: Simplified to 1 5.159 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (* (sqrt (+ x 1)) (sqrt (- x 1))))))) 5.160 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 5.160 * [simplify]: Simplifying (sqrt (sqrt (+ x 1))) 5.160 * * [simplify]: iters left: 4 (5 enodes) 5.163 * * [simplify]: iters left: 3 (18 enodes) 5.168 * * [simplify]: iters left: 2 (20 enodes) 5.174 * * [simplify]: Extracting #0: cost 1 inf + 0 5.174 * * [simplify]: Extracting #1: cost 3 inf + 0 5.174 * * [simplify]: Extracting #2: cost 5 inf + 0 5.174 * * [simplify]: Extracting #3: cost 8 inf + 0 5.174 * * [simplify]: Extracting #4: cost 6 inf + 2 5.174 * * [simplify]: Extracting #5: cost 0 inf + 494 5.174 * [simplify]: Simplified to (sqrt (sqrt (+ 1 x))) 5.174 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.174 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 5.175 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 5.175 * [simplify]: Simplifying (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) 5.175 * * [simplify]: iters left: 6 (8 enodes) 5.179 * * [simplify]: iters left: 5 (26 enodes) 5.186 * * [simplify]: iters left: 4 (38 enodes) 5.196 * * [simplify]: iters left: 3 (44 enodes) 5.206 * * [simplify]: iters left: 2 (45 enodes) 5.211 * * [simplify]: iters left: 1 (48 enodes) 5.218 * * [simplify]: Extracting #0: cost 1 inf + 0 5.218 * * [simplify]: Extracting #1: cost 3 inf + 0 5.219 * * [simplify]: Extracting #2: cost 10 inf + 0 5.219 * * [simplify]: Extracting #3: cost 12 inf + 2 5.219 * * [simplify]: Extracting #4: cost 7 inf + 329 5.219 * * [simplify]: Extracting #5: cost 1 inf + 900 5.219 * * [simplify]: Extracting #6: cost 0 inf + 1062 5.219 * [simplify]: Simplified to (sqrt (+ x (+ (* x x) 1))) 5.219 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (sqrt (+ x (+ (* x x) 1))))))) 5.220 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 5.220 * [simplify]: Simplifying (sqrt (+ x 1)) 5.220 * * [simplify]: iters left: 3 (4 enodes) 5.221 * * [simplify]: iters left: 2 (15 enodes) 5.223 * * [simplify]: iters left: 1 (17 enodes) 5.226 * * [simplify]: Extracting #0: cost 1 inf + 0 5.226 * * [simplify]: Extracting #1: cost 3 inf + 0 5.226 * * [simplify]: Extracting #2: cost 6 inf + 0 5.226 * * [simplify]: Extracting #3: cost 2 inf + 86 5.226 * * [simplify]: Extracting #4: cost 1 inf + 168 5.226 * * [simplify]: Extracting #5: cost 0 inf + 250 5.226 * [simplify]: Simplified to (sqrt (+ 1 x)) 5.226 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ 1 x)))))) 5.226 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 5.226 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) 5.226 * * [simplify]: iters left: 6 (10 enodes) 5.230 * * [simplify]: iters left: 5 (45 enodes) 5.244 * * [simplify]: iters left: 4 (65 enodes) 5.265 * * [simplify]: iters left: 3 (91 enodes) 5.292 * * [simplify]: iters left: 2 (132 enodes) 5.336 * * [simplify]: iters left: 1 (228 enodes) 5.401 * * [simplify]: Extracting #0: cost 1 inf + 0 5.402 * * [simplify]: Extracting #1: cost 4 inf + 0 5.402 * * [simplify]: Extracting #2: cost 8 inf + 0 5.402 * * [simplify]: Extracting #3: cost 14 inf + 0 5.402 * * [simplify]: Extracting #4: cost 28 inf + 3 5.402 * * [simplify]: Extracting #5: cost 66 inf + 252 5.402 * * [simplify]: Extracting #6: cost 54 inf + 3044 5.404 * * [simplify]: Extracting #7: cost 18 inf + 22283 5.406 * * [simplify]: Extracting #8: cost 11 inf + 25695 5.408 * * [simplify]: Extracting #9: cost 0 inf + 31210 5.410 * [simplify]: Simplified to (* (sqrt (+ 1 (* x (* x x)))) (sqrt (- x 1))) 5.410 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (- x 1))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) 5.410 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 5.410 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) 5.410 * * [simplify]: iters left: 6 (9 enodes) 5.413 * * [simplify]: iters left: 5 (32 enodes) 5.420 * * [simplify]: iters left: 4 (38 enodes) 5.425 * * [simplify]: iters left: 3 (48 enodes) 5.433 * * [simplify]: iters left: 2 (82 enodes) 5.445 * * [simplify]: iters left: 1 (96 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.457 * * [simplify]: Extracting #1: cost 4 inf + 0 5.457 * * [simplify]: Extracting #2: cost 8 inf + 0 5.457 * * [simplify]: Extracting #3: cost 38 inf + 0 5.457 * * [simplify]: Extracting #4: cost 39 inf + 86 5.457 * * [simplify]: Extracting #5: cost 13 inf + 2288 5.458 * * [simplify]: Extracting #6: cost 1 inf + 3751 5.459 * * [simplify]: Extracting #7: cost 0 inf + 3993 5.460 * [simplify]: Simplified to (* (sqrt (- x 1)) (sqrt (- (* x x) 1))) 5.460 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- x 1)) (sqrt (- (* x x) 1))) (sqrt (- x 1)))))) 5.460 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.460 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 5.460 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 5.460 * [simplify]: Simplifying (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) 5.460 * * [simplify]: iters left: 6 (10 enodes) 5.463 * * [simplify]: iters left: 5 (42 enodes) 5.470 * * [simplify]: iters left: 4 (58 enodes) 5.479 * * [simplify]: iters left: 3 (75 enodes) 5.490 * * [simplify]: iters left: 2 (112 enodes) 5.511 * * [simplify]: iters left: 1 (206 enodes) 5.552 * * [simplify]: Extracting #0: cost 1 inf + 0 5.552 * * [simplify]: Extracting #1: cost 24 inf + 0 5.553 * * [simplify]: Extracting #2: cost 96 inf + 0 5.553 * * [simplify]: Extracting #3: cost 131 inf + 145 5.553 * * [simplify]: Extracting #4: cost 129 inf + 1580 5.555 * * [simplify]: Extracting #5: cost 92 inf + 9249 5.559 * * [simplify]: Extracting #6: cost 39 inf + 38130 5.576 * * [simplify]: Extracting #7: cost 0 inf + 69638 5.594 * * [simplify]: Extracting #8: cost 0 inf + 69245 5.610 * [simplify]: Simplified to (exp (+ x (* (sqrt (- x 1)) (sqrt (+ x 1))))) 5.610 * [simplify]: Simplified (2 1 1) to (λ (x) (log (log (exp (+ x (* (sqrt (- x 1)) (sqrt (+ x 1)))))))) 5.610 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 5.610 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.611 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 5.611 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 5.612 * [simplify]: Simplifying (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.612 * * [simplify]: iters left: 6 (15 enodes) 5.622 * * [simplify]: iters left: 5 (63 enodes) 5.643 * * [simplify]: iters left: 4 (93 enodes) 5.669 * * [simplify]: iters left: 3 (124 enodes) 5.703 * * [simplify]: iters left: 2 (163 enodes) 5.749 * * [simplify]: iters left: 1 (241 enodes) 5.800 * * [simplify]: Extracting #0: cost 1 inf + 0 5.800 * * [simplify]: Extracting #1: cost 8 inf + 0 5.801 * * [simplify]: Extracting #2: cost 59 inf + 0 5.801 * * [simplify]: Extracting #3: cost 87 inf + 127 5.805 * * [simplify]: Extracting #4: cost 19 inf + 8843 5.810 * * [simplify]: Extracting #5: cost 2 inf + 11487 5.818 * * [simplify]: Extracting #6: cost 0 inf + 11893 5.823 * [simplify]: Simplified to (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x))))) 5.823 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x)))))))) 5.823 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 5.823 * [simplify]: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.823 * * [simplify]: iters left: 6 (12 enodes) 5.828 * * [simplify]: iters left: 5 (57 enodes) 5.839 * * [simplify]: iters left: 4 (97 enodes) 5.857 * * [simplify]: iters left: 3 (170 enodes) 5.902 * * [simplify]: iters left: 2 (285 enodes) 5.971 * * [simplify]: Extracting #0: cost 1 inf + 0 5.971 * * [simplify]: Extracting #1: cost 17 inf + 0 5.972 * * [simplify]: Extracting #2: cost 72 inf + 1 5.972 * * [simplify]: Extracting #3: cost 124 inf + 335 5.973 * * [simplify]: Extracting #4: cost 87 inf + 7689 5.976 * * [simplify]: Extracting #5: cost 20 inf + 28115 5.981 * * [simplify]: Extracting #6: cost 1 inf + 32556 5.988 * * [simplify]: Extracting #7: cost 0 inf + 32506 5.996 * [simplify]: Simplified to (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x)) 5.996 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x))))) 5.997 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 5.997 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.997 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x +nan.0))) 5.997 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 5.997 * [simplify]: Simplifying (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.997 * * [simplify]: iters left: 6 (10 enodes) 6.004 * * [simplify]: iters left: 5 (42 enodes) 6.021 * * [simplify]: iters left: 4 (64 enodes) 6.039 * * [simplify]: iters left: 3 (86 enodes) 6.062 * * [simplify]: iters left: 2 (100 enodes) 6.089 * * [simplify]: iters left: 1 (120 enodes) 6.121 * * [simplify]: Extracting #0: cost 1 inf + 0 6.121 * * [simplify]: Extracting #1: cost 8 inf + 0 6.121 * * [simplify]: Extracting #2: cost 26 inf + 1 6.122 * * [simplify]: Extracting #3: cost 33 inf + 332 6.123 * * [simplify]: Extracting #4: cost 10 inf + 2581 6.125 * * [simplify]: Extracting #5: cost 0 inf + 4169 6.127 * [simplify]: Simplified to (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))) 6.127 * [simplify]: Simplified (2 1) to (λ (x) (log (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))))) 6.127 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 6.127 * [simplify]: Simplifying (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 6.127 * * [simplify]: iters left: 6 (14 enodes) 6.137 * * [simplify]: iters left: 5 (63 enodes) 6.161 * * [simplify]: iters left: 4 (101 enodes) 6.196 * * [simplify]: iters left: 3 (174 enodes) 6.251 * * [simplify]: iters left: 2 (289 enodes) 6.320 * * [simplify]: Extracting #0: cost 1 inf + 0 6.320 * * [simplify]: Extracting #1: cost 17 inf + 0 6.321 * * [simplify]: Extracting #2: cost 76 inf + 0 6.321 * * [simplify]: Extracting #3: cost 132 inf + 6 6.323 * * [simplify]: Extracting #4: cost 113 inf + 2471 6.327 * * [simplify]: Extracting #5: cost 46 inf + 18924 6.334 * * [simplify]: Extracting #6: cost 1 inf + 36409 6.338 * * [simplify]: Extracting #7: cost 0 inf + 36461 6.343 * [simplify]: Simplified to (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))) 6.343 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))))) 6.343 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 6.343 * [simplify]: Simplifying (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 6.343 * [simplify]: Simplified (2 1) to (λ (x) (log +nan.0)) 6.343 * * * [progress]: adding candidates to table 6.890 * [progress]: [Phase 3 of 3] Extracting. 6.890 * * [regime]: Finding splitpoints for: (# #) 6.890 * * * [regime-changes]: Trying 3 branch expressions: (x (+ x (sqrt (- (* x x) 1))) (log (+ x (sqrt (- (* x x) 1))))) 6.891 * * * * [regimes]: Trying to branch on x from (# #) 6.919 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1))) from (# #) 6.957 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1)))) from (# #) 6.996 * * * [regime]: Found split indices: #