Time bar (total: 2.7m)
| 70.0ms | 267× | body | 80 | valid |
| 64.0ms | 40× | body | 640 | valid |
| 42.0ms | 28× | body | 1280 | valid |
| 19.0ms | 25× | body | 320 | valid |
| 5.0ms | 9× | body | 160 | valid |
| 325.0ms | (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) |
1 alts after pruning (1 fresh and 0 done)
Merged error: 36.2b
Found 4 expressions with local error:
| 35.0b | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 0.2b | (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) |
| 130× | associate-*l/ |
| 97× | flip3-- flip-- |
| 66× | sqrt-div |
| 64× | frac-times frac-add |
| 32× | associate-*r/ |
| 12× | add-sqr-sqrt |
| 9× | *-un-lft-identity |
| 7× | pow1 add-cube-cbrt |
| 6× | add-cbrt-cube add-exp-log |
| 5× | associate-*l* |
| 4× | insert-posit16 add-log-exp |
| 3× | associate-*r* sqrt-prod |
| 1× | rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr |
| 122.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 37.0ms | (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) |
| 8.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 8.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 571.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 117.0ms | (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) |
| 35.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 23.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 1.2s | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 1.2s | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) |
| 996.0ms | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 973.0ms | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 910.0ms | (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) |
10 alts after pruning (10 fresh and 0 done)
Merged error: 23.7b
Found 4 expressions with local error:
| 35.0b | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 0.2b | (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) |
| 97× | flip3-- flip-- |
| 82× | associate-*r/ |
| 80× | associate-*l/ |
| 66× | sqrt-div |
| 64× | frac-times frac-add |
| 12× | add-sqr-sqrt |
| 9× | *-un-lft-identity |
| 7× | pow1 add-cube-cbrt |
| 6× | add-cbrt-cube add-exp-log |
| 5× | associate-*r* |
| 4× | insert-posit16 add-log-exp |
| 3× | associate-*l* sqrt-prod |
| 2× | distribute-rgt-in sub-neg distribute-lft-in |
| 1× | rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr |
| 114.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 32.0ms | (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) |
| 15.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 14.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 528.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 169.0ms | (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) |
| 31.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 26.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 1.3s | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) |
| 1.1s | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 989.0ms | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 920.0ms | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) |
| 915.0ms | (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
9 alts after pruning (9 fresh and 0 done)
Merged error: 23.7b
Found 4 expressions with local error:
| 35.0b | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 80× | associate-*l/ |
| 72× | flip3-- flip-- |
| 66× | sqrt-div |
| 64× | frac-times frac-add |
| 32× | associate-*r/ |
| 25× | flip3-+ flip-+ |
| 6× | add-sqr-sqrt |
| 5× | pow1 *-un-lft-identity add-cube-cbrt |
| 4× | add-cbrt-cube add-exp-log insert-posit16 add-log-exp |
| 3× | sqrt-prod |
| 1× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 70.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 8.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 7.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 7.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 524.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 23.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 22.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 22.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 1.2s | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* lambda1 (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (- (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 1.0s | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) |
| 993.0ms | (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) |
| 961.0ms | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) |
| 874.0ms | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) |
9 alts after pruning (9 fresh and 0 done)
Merged error: 23.7b
Found 4 expressions with local error:
| 35.0b | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 2.3b | (cos (/ (+ phi1 phi2) 2)) |
| 80× | associate-*l/ |
| 72× | flip3-- flip-- |
| 66× | sqrt-div |
| 64× | frac-times frac-add |
| 32× | associate-*r/ |
| 25× | flip3-+ flip-+ |
| 6× | add-sqr-sqrt |
| 5× | pow1 *-un-lft-identity add-cube-cbrt |
| 4× | add-cbrt-cube add-exp-log insert-posit16 add-log-exp |
| 3× | sqrt-prod |
| 1× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 80.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 15.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 15.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 7.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 645.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 36.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 28.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 27.0ms | (cos (/ (+ phi1 phi2) 2)) |
| 1.0s | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (- (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) |
| 997.0ms | (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (- (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) |
| 933.0ms | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (- (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) |
| 888.0ms | (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (- (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) |
| 888.0ms | (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (- (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) |
9 alts after pruning (9 fresh and 0 done)
Merged error: 23.2b
60.1% (5.1b remaining)
Error of 30.1b against oracle of 25.1b and baseline of 37.8b
| 2.6s | 8356× | body | 80 | valid |
| 1.5s | 1350× | body | 640 | valid |
| 1.2s | 780× | body | 1280 | valid |
| 1.1s | 749× | body | 320 | valid |
| 179.0ms | 346× | body | 160 | valid |