12.060 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.074 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.077 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.080 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.083 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.086 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.091 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.098 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.113 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.183 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.184 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.203 * * * [progress]: generating series expansions 0.204 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.204 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.204 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.204 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.204 * [taylor]: Taking taylor expansion of y in z 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.204 * [taylor]: Taking taylor expansion of z in z 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.205 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.205 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.206 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.207 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.207 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.213 * [taylor]: Taking taylor expansion of 1/2 in z 0.213 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.213 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.213 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.213 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.221 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.222 * [taylor]: Taking taylor expansion of y in z 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.222 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.222 * [taylor]: Taking taylor expansion of z in z 0.225 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.231 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.234 * [taylor]: Taking taylor expansion of 1 in z 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.237 * [taylor]: Taking taylor expansion of -1/2 in z 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.241 * [taylor]: Taking taylor expansion of 0 in z 0.242 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.243 * [taylor]: Taking taylor expansion of y in z 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.243 * [taylor]: Taking taylor expansion of z in z 0.246 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.247 * [taylor]: Taking taylor expansion of z in y 0.249 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.250 * [taylor]: Taking taylor expansion of z in y 0.252 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.255 * [taylor]: Taking taylor expansion of -1/2 in z 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.255 * [taylor]: Taking taylor expansion of z in z 0.259 * [taylor]: Taking taylor expansion of 0 in z 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.260 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.260 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.260 * [taylor]: Taking taylor expansion of y in z 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.260 * [taylor]: Taking taylor expansion of z in z 0.260 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.260 * [taylor]: Taking taylor expansion of z in y 0.260 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.260 * [taylor]: Taking taylor expansion of z in y 0.261 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.261 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.261 * [taylor]: Taking taylor expansion of z in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 1 in z 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.267 * [taylor]: Taking taylor expansion of y in z 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.268 * [taylor]: Taking taylor expansion of z in z 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.269 * [taylor]: Taking taylor expansion of z in y 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.270 * [taylor]: Taking taylor expansion of z in y 0.270 * [taylor]: Taking taylor expansion of 1 in z 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.273 * [taylor]: Taking taylor expansion of z in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.281 * [taylor]: Taking taylor expansion of y in z 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.281 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.281 * [taylor]: Taking taylor expansion of z in z 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.282 * [taylor]: Taking taylor expansion of z in y 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.283 * [taylor]: Taking taylor expansion of z in y 0.283 * [taylor]: Taking taylor expansion of 1 in z 0.285 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.286 * [taylor]: Taking taylor expansion of z in z 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.294 * * * [progress]: simplifying candidates 0.295 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.300 * * [simplify]: iteration 0 : 135 enodes (cost 210 ) 0.306 * * [simplify]: iteration 1 : 482 enodes (cost 197 ) 0.317 * * [simplify]: iteration 2 : 1632 enodes (cost 194 ) 0.358 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.360 * [simplify]: Simplified to: (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (hypot y z) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (- (* y y) (* z z)) 0 (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (fma (- (pow z 5)) z (pow y 6)) (fma z (* z (fma y y (* z z))) (pow y 4)) (- (* z z)) (fma (- (pow z 3)) z (pow y 4)) (fma y y (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.360 * * * [progress]: adding candidates to table 0.474 * * [progress]: iteration 2 / 4 0.474 * * * [progress]: picking best candidate 0.481 * * * * [pick]: Picked # 0.481 * * * [progress]: localizing error 0.489 * * * [progress]: generating rewritten candidates 0.489 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.503 * * * [progress]: generating series expansions 0.505 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.505 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.506 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.506 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.506 * [taylor]: Taking taylor expansion of (+ z y) in z 0.506 * [taylor]: Taking taylor expansion of z in z 0.506 * [taylor]: Taking taylor expansion of y in z 0.506 * [taylor]: Taking taylor expansion of (- y z) in z 0.506 * [taylor]: Taking taylor expansion of y in z 0.506 * [taylor]: Taking taylor expansion of z in z 0.508 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.508 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.508 * [taylor]: Taking taylor expansion of (+ z y) in y 0.508 * [taylor]: Taking taylor expansion of z in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (- y z) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of z in y 0.509 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.509 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.509 * [taylor]: Taking taylor expansion of (+ z y) in y 0.509 * [taylor]: Taking taylor expansion of z in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (- y z) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of z in y 0.510 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.510 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.510 * [taylor]: Taking taylor expansion of -1 in z 0.510 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.513 * [taylor]: Taking taylor expansion of 0 in z 0.515 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.515 * [taylor]: Taking taylor expansion of 1/2 in z 0.515 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.515 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.515 * [taylor]: Taking taylor expansion of -1 in z 0.515 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.515 * [taylor]: Taking taylor expansion of z in z 0.520 * [taylor]: Taking taylor expansion of 0 in z 0.523 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.523 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.523 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.523 * [taylor]: Taking taylor expansion of y in z 0.523 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.523 * [taylor]: Taking taylor expansion of z in z 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.524 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.524 * [taylor]: Taking taylor expansion of z in z 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.524 * [taylor]: Taking taylor expansion of y in z 0.527 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.527 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.527 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.527 * [taylor]: Taking taylor expansion of z in y 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.527 * [taylor]: Taking taylor expansion of z in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.530 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.531 * [taylor]: Taking taylor expansion of z in y 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.531 * [taylor]: Taking taylor expansion of z in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 1 in z 0.534 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.537 * [taylor]: Taking taylor expansion of -1/2 in z 0.537 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.537 * [taylor]: Taking taylor expansion of z in z 0.541 * [taylor]: Taking taylor expansion of 0 in z 0.542 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in (y z) around 0 0.542 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in z 0.543 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in z 0.543 * [taylor]: Taking taylor expansion of -1 in z 0.543 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in z 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.543 * [taylor]: Taking taylor expansion of z in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.543 * [taylor]: Taking taylor expansion of y in z 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.543 * [taylor]: Taking taylor expansion of z in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.543 * [taylor]: Taking taylor expansion of y in z 0.546 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.546 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.546 * [taylor]: Taking taylor expansion of z in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.547 * [taylor]: Taking taylor expansion of z in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.551 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.551 * [taylor]: Taking taylor expansion of -1 in y 0.551 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.551 * [taylor]: Taking taylor expansion of z in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.551 * [taylor]: Taking taylor expansion of z in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 1 in z 0.555 * [taylor]: Taking taylor expansion of 0 in z 0.559 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.559 * [taylor]: Taking taylor expansion of -1/2 in z 0.559 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.559 * [taylor]: Taking taylor expansion of z in z 0.565 * [taylor]: Taking taylor expansion of 0 in z 0.566 * * * [progress]: simplifying candidates 0.566 * [simplify]: Simplifying using # : (expm1 (sqrt (* (+ y z) (- y z)))) (log1p (sqrt (* (+ y z) (- y z)))) (log (sqrt (* (+ y z) (- y z)))) (exp (sqrt (* (+ y z) (- y z)))) (* (cbrt (sqrt (* (+ y z) (- y z)))) (cbrt (sqrt (* (+ y z) (- y z))))) (cbrt (sqrt (* (+ y z) (- y z)))) (* (* (sqrt (* (+ y z) (- y z))) (sqrt (* (+ y z) (- y z)))) (sqrt (* (+ y z) (- y z)))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- (pow y 3) (pow z 3)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (+ (pow y 3) (pow z 3)) (- (* y y) (* z z)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ y z))) (sqrt (* (- (* y y) (* z z)) (- (pow y 3) (pow z 3)))) (sqrt (* (- y z) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (- (* y y) (* z z)) (- (* y y) (* z z)))) (sqrt (* (- y z) (+ y z))) (sqrt (* (+ y z) (- (pow y 3) (pow z 3)))) (sqrt (+ (* y y) (+ (* z z) (* y z)))) (sqrt (* (+ y z) (- (* y y) (* z z)))) (sqrt (+ y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- y z))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (* (- (* y y) (* z z)) (- y z))) (sqrt (- y z)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ y z) (- y z)))) (sqrt (sqrt (* (+ y z) (- y z)))) (* z (sqrt -1)) y (* -1 y) 0.571 * * [simplify]: iteration 0 : 139 enodes (cost 163 ) 0.576 * * [simplify]: iteration 1 : 536 enodes (cost 160 ) 0.593 * * [simplify]: iteration 2 : 2422 enodes (cost 160 ) 0.646 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.647 * [simplify]: Simplified to: (expm1 (sqrt (* (+ y z) (- y z)))) (log1p (sqrt (* (+ y z) (- y z)))) (log (sqrt (* (+ y z) (- y z)))) (exp (sqrt (* (+ y z) (- y z)))) (* (cbrt (sqrt (* (+ y z) (- y z)))) (cbrt (sqrt (* (+ y z) (- y z))))) (cbrt (sqrt (* (+ y z) (- y z)))) (pow (sqrt (* (- y z) (+ y z))) 3) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- (pow y 3) (pow z 3)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (+ (pow y 3) (pow z 3)) (- (* y y) (* z z)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ y z))) (sqrt (* (- (* y y) (* z z)) (- (pow y 3) (pow z 3)))) (sqrt (* (- y z) (+ (* y y) (+ (* z z) (* y z))))) (fabs (- (* y y) (* z z))) (sqrt (* (- y z) (+ y z))) (sqrt (* (+ y z) (- (pow y 3) (pow z 3)))) (sqrt (+ (* y y) (+ (* z z) (* y z)))) (sqrt (* (+ y z) (- (* y y) (* z z)))) (sqrt (+ y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- y z))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (* (- (* y y) (* z z)) (- y z))) (sqrt (- y z)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ y z) (- y z)))) (sqrt (sqrt (* (+ y z) (- y z)))) (* z (sqrt -1)) y (* -1 y) 0.647 * * * [progress]: adding candidates to table 0.717 * * [progress]: iteration 3 / 4 0.717 * * * [progress]: picking best candidate 0.722 * * * * [pick]: Picked # 0.722 * * * [progress]: localizing error 0.725 * * * [progress]: generating rewritten candidates 0.725 * * * [progress]: generating series expansions 0.725 * * * [progress]: simplifying candidates 0.725 * [simplify]: Simplifying using # : 0.728 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.728 * [simplify]: Simplified to: 0.728 * * * [progress]: adding candidates to table 0.728 * * [progress]: iteration 4 / 4 0.728 * * * [progress]: picking best candidate 0.735 * * * * [pick]: Picked # 0.735 * * * [progress]: localizing error 0.744 * * * [progress]: generating rewritten candidates 0.744 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.765 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.772 * * * [progress]: generating series expansions 0.772 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.772 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.772 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.772 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.772 * [taylor]: Taking taylor expansion of (+ z y) in z 0.772 * [taylor]: Taking taylor expansion of z in z 0.772 * [taylor]: Taking taylor expansion of y in z 0.772 * [taylor]: Taking taylor expansion of (- y z) in z 0.772 * [taylor]: Taking taylor expansion of y in z 0.772 * [taylor]: Taking taylor expansion of z in z 0.774 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.774 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.774 * [taylor]: Taking taylor expansion of (+ z y) in y 0.774 * [taylor]: Taking taylor expansion of z in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (- y z) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of z in y 0.776 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.776 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.776 * [taylor]: Taking taylor expansion of (+ z y) in y 0.776 * [taylor]: Taking taylor expansion of z in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (- y z) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of z in y 0.777 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.777 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.777 * [taylor]: Taking taylor expansion of -1 in z 0.777 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.777 * [taylor]: Taking taylor expansion of z in z 0.779 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.781 * [taylor]: Taking taylor expansion of 1/2 in z 0.782 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.782 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.782 * [taylor]: Taking taylor expansion of -1 in z 0.782 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.782 * [taylor]: Taking taylor expansion of z in z 0.787 * [taylor]: Taking taylor expansion of 0 in z 0.790 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.790 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.790 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.790 * [taylor]: Taking taylor expansion of y in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.790 * [taylor]: Taking taylor expansion of z in z 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.790 * [taylor]: Taking taylor expansion of z in z 0.791 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.791 * [taylor]: Taking taylor expansion of y in z 0.794 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.794 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.794 * [taylor]: Taking taylor expansion of z in y 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.794 * [taylor]: Taking taylor expansion of z in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.797 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.797 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.797 * [taylor]: Taking taylor expansion of z in y 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.798 * [taylor]: Taking taylor expansion of z in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 1 in z 0.800 * [taylor]: Taking taylor expansion of 0 in z 0.804 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.804 * [taylor]: Taking taylor expansion of -1/2 in z 0.804 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.804 * [taylor]: Taking taylor expansion of z in z 0.809 * [taylor]: Taking taylor expansion of 0 in z 0.810 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in (y z) around 0 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in z 0.810 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.810 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.810 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.810 * [taylor]: Taking taylor expansion of z in z 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.811 * [taylor]: Taking taylor expansion of y in z 0.813 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in z 0.813 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.813 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.813 * [taylor]: Taking taylor expansion of z in z 0.813 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.813 * [taylor]: Taking taylor expansion of y in z 0.814 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.814 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.815 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.815 * [taylor]: Taking taylor expansion of z in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.821 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.821 * [taylor]: Taking taylor expansion of z in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.823 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.823 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.823 * [taylor]: Taking taylor expansion of z in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.826 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.826 * [taylor]: Taking taylor expansion of z in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 0 in z 0.829 * [taylor]: Taking taylor expansion of 0 in z 0.832 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.832 * [taylor]: Taking taylor expansion of +nan.0 in z 0.837 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.837 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.837 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.837 * [taylor]: Taking taylor expansion of +nan.0 in z 0.837 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.837 * [taylor]: Taking taylor expansion of z in z 0.837 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.837 * [taylor]: Taking taylor expansion of +nan.0 in z 0.844 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) in z 0.844 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))) in z 0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.844 * [taylor]: Taking taylor expansion of +nan.0 in z 0.844 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.844 * [taylor]: Taking taylor expansion of z in z 0.844 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z 0.844 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z 0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z 0.844 * [taylor]: Taking taylor expansion of +nan.0 in z 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.844 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.844 * [taylor]: Taking taylor expansion of z in z 0.845 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.845 * [taylor]: Taking taylor expansion of +nan.0 in z 0.850 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ z y)) in (y z) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in z 0.850 * [taylor]: Taking taylor expansion of (+ z y) in z 0.850 * [taylor]: Taking taylor expansion of z in z 0.850 * [taylor]: Taking taylor expansion of y in z 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.851 * [taylor]: Taking taylor expansion of (+ z y) in y 0.851 * [taylor]: Taking taylor expansion of z in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.851 * [taylor]: Taking taylor expansion of (+ z y) in y 0.851 * [taylor]: Taking taylor expansion of z in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.852 * [taylor]: Taking taylor expansion of z in z 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 z))) in z 0.853 * [taylor]: Taking taylor expansion of 1/2 in z 0.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.853 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.853 * [taylor]: Taking taylor expansion of z in z 0.856 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow z 3)))) in z 0.856 * [taylor]: Taking taylor expansion of -1/8 in z 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z 0.856 * [taylor]: Taking taylor expansion of (pow z 3) in z 0.856 * [taylor]: Taking taylor expansion of z in z 0.864 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in (y z) around 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in z 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.864 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.864 * [taylor]: Taking taylor expansion of z in z 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.864 * [taylor]: Taking taylor expansion of y in z 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in y 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.866 * [taylor]: Taking taylor expansion of z in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in y 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.867 * [taylor]: Taking taylor expansion of z in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in z 0.869 * [taylor]: Taking taylor expansion of +nan.0 in z 0.871 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 z) +nan.0)) in z 0.871 * [taylor]: Taking taylor expansion of +nan.0 in z 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 z) +nan.0) in z 0.871 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.871 * [taylor]: Taking taylor expansion of z in z 0.871 * [taylor]: Taking taylor expansion of +nan.0 in z 0.873 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.873 * [taylor]: Taking taylor expansion of +nan.0 in z 0.873 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.873 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.873 * [taylor]: Taking taylor expansion of +nan.0 in z 0.873 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.873 * [taylor]: Taking taylor expansion of z in z 0.873 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.873 * [taylor]: Taking taylor expansion of +nan.0 in z 0.875 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.875 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.875 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.875 * [taylor]: Taking taylor expansion of z in z 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.875 * [taylor]: Taking taylor expansion of y in z 0.877 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.878 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.878 * [taylor]: Taking taylor expansion of z in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.880 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.880 * [taylor]: Taking taylor expansion of z in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 0 in z 0.882 * [taylor]: Taking taylor expansion of +nan.0 in z 0.884 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 z) (- +nan.0))) in z 0.884 * [taylor]: Taking taylor expansion of +nan.0 in z 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (- +nan.0)) in z 0.884 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.884 * [taylor]: Taking taylor expansion of z in z 0.884 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.884 * [taylor]: Taking taylor expansion of +nan.0 in z 0.886 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.886 * [taylor]: Taking taylor expansion of +nan.0 in z 0.886 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.886 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.886 * [taylor]: Taking taylor expansion of +nan.0 in z 0.886 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.887 * [taylor]: Taking taylor expansion of z in z 0.887 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.887 * [taylor]: Taking taylor expansion of +nan.0 in z 0.888 * * * [progress]: simplifying candidates 0.889 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ y z)) (sqrt (- y z)))) (log1p (* (sqrt (+ y z)) (sqrt (- y z)))) (* (+ y z) (- y z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (+ y z) (- y z)) (+ (log (sqrt (+ y z))) (log (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z))) (* (* (sqrt (- y z)) (sqrt (- y z))) (sqrt (- y z)))) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (+ y z) (- y z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (* (sqrt (- y z)) (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (sqrt (+ y z)) (sqrt (* (cbrt (- y z)) (cbrt (- y z))))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) 1) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (expm1 (sqrt (+ y z))) (log1p (sqrt (+ y z))) (log (sqrt (+ y z))) (exp (sqrt (+ y z))) (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z)))) (cbrt (sqrt (+ y z))) (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z))) (sqrt (* (cbrt (+ y z)) (cbrt (+ y z)))) (sqrt (cbrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt 1) (sqrt (+ y z)) (sqrt 1) (sqrt (+ y z)) (sqrt (+ (pow y 3) (pow z 3))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (- (* y y) (* z z))) (sqrt (- y z)) (/ 1 2) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (* z (sqrt -1)) y (- (+ (* +nan.0 (/ (pow z 2) (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 z) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ z (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) (- (+ (* +nan.0 (/ z (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) 0.895 * * [simplify]: iteration 0 : 244 enodes (cost 435 ) 0.902 * * [simplify]: iteration 1 : 782 enodes (cost 418 ) 0.922 * * [simplify]: iteration 2 : 3109 enodes (cost 408 ) 0.976 * * [simplify]: iteration 3 : 5001 enodes (cost 407 ) 0.979 * [simplify]: Simplified to: (expm1 (* (sqrt (+ y z)) (sqrt (- y z)))) (log1p (* (sqrt (+ y z)) (sqrt (- y z)))) (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (- (* y y) (* z z)) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (- (* y y) (* z z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (fabs (cbrt (- y z))) (sqrt (+ y z))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (expm1 (sqrt (+ y z))) (log1p (sqrt (+ y z))) (log (sqrt (+ y z))) (exp (sqrt (+ y z))) (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z)))) (cbrt (sqrt (+ y z))) (pow (sqrt (+ y z)) 3) (fabs (cbrt (+ y z))) (sqrt (cbrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) 1 (sqrt (+ y z)) 1 (sqrt (+ y z)) (hypot (pow z 3/2) (pow y 3/2)) (hypot z (* (pow y 1/2) (sqrt (- y z)))) (sqrt (- (* y y) (* z z))) (sqrt (- y z)) 1/2 (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (* z (sqrt -1)) y (fma (- +nan.0) (/ (pow z 2) (pow y 2)) (fma +nan.0 (/ z y) (- +nan.0))) (fma (- (pow y 2)) +nan.0 (* +nan.0 (- z y))) (fma (- +nan.0) (/ z (pow y 2)) (fma +nan.0 (/ z y) (- +nan.0))) (fma (- +nan.0) (/ z (pow y 2)) (fma +nan.0 (/ z y) (- +nan.0))) 0.979 * * * [progress]: adding candidates to table 1.159 * [progress]: [Phase 3 of 3] Extracting. 1.159 * * [regime]: Finding splitpoints for: (# # # #) 1.160 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 1.160 * * * * [regimes]: Trying to branch on z from (# # # #) 1.189 * * * * [regimes]: Trying to branch on y from (# # # #) 1.214 * * * * [regimes]: Trying to branch on x from (# # # #) 1.257 * * * [regime]: Found split indices: #