| 60× | intervals |
| 1.0m | 252810× | body | 80 | valid |
| 46.5s | 25690× | body | 1280 | valid |
| 44.8s | 159687× | body | 80 | nan |
| 23.4s | 17768× | body | 640 | valid |
| 19.4s | 8511× | body | 10240 | exit |
| 17.7s | 7930× | body | 2560 | valid |
| 14.8s | 3433× | body | 5120 | valid |
| 8.7s | 8562× | body | 320 | valid |
| 4.7s | 8543× | body | 160 | valid |
| 768.0ms | 663× | body | 1280 | nan |
| 705.0ms | 366× | body | 320 | nan |
| 555.0ms | 604× | body | 640 | nan |
| 328.0ms | 8256× | pre | 80 | true |
| 126.0ms | 204× | body | 160 | nan |
| 113× | rewrite-expression-head |
433 calls:
| 4.8s | (/ (/ (/ (sqrt 2) (* (cbrt (sin k)) (cbrt (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (/ (* (+ 2 (* (/ k t) (/ k t))) (tan k)) (/ (/ (sqrt 2) (cbrt (sin k))) (/ (cbrt t) (/ l t))))) |
| 1.7s | (* (* (* (sqrt (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h)))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l)))) (sqrt (/ (cbrt d) (cbrt l))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.6s | (/ (/ NdChar (sqrt (+ (exp (/ (- mu (- (- Ec Vef) EDonor)) KbT)) 1))) (sqrt (+ (exp (/ (- mu (- (- Ec Vef) EDonor)) KbT)) 1))) |
| 1.5s | (* (* (* (sqrt (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h)))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l)))) (sqrt (/ (cbrt d) (cbrt l))))) (- 1 (/ (* h (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2)))) (* 2 l)))) |
| 847.0ms | (* (* (* (sqrt (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h)))) (sqrt (/ (cbrt d) (cbrt h)))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 5142235× | times-frac |
| 1375767× | *-un-lft-identity |
| 1375478× | add-sqr-sqrt |
| 1373987× | add-cube-cbrt |
| 577484× | cbrt-prod |
| 469671× | sqrt-prod |
| 199690× | div-inv |
| 45072× | associate-/r/ |
| 10353× | add-exp-log |
| 7996× | add-cbrt-cube |
| 7575× | associate-/r* |
| 4534× | div-exp |
| 3843× | cbrt-undiv |
| 3652× | prod-exp |
| 2960× | cbrt-unprod |
| 2460× | unpow-prod-down |
| 2165× | associate-*r* |
| 1822× | pow1 |
| 1397× | frac-times |
| 1361× | sqrt-div |
| 1331× | associate-*l* |
| 1158× | associate-/l* |
| 1157× | difference-of-squares |
| 1035× | associate-*l/ |
| 731× | associate-*r/ |
| 551× | pow-prod-down |
| 519× | distribute-lft-out |
| 491× | add-log-exp |
| 453× | sqr-pow |
| 433× | insert-posit16 |
| 326× | flip3-- flip-- |
| 269× | unswap-sqr |
| 255× | flip-+ flip3-+ |
| 242× | pow-exp |
| 236× | swap-sqr |
| 173× | pow-prod-up |
| 172× | unpow-prod-up |
| 167× | *-commutative |
| 154× | sub-neg |
| 140× | distribute-lft-out-- |
| 134× | sqrt-pow1 |
| 131× | pow-unpow |
| 127× | 1-exp distribute-rgt-in distribute-lft-in |
| 122× | cbrt-div |
| 111× | pow-to-exp |
| 105× | frac-2neg clear-num |
| 99× | pow1/2 |
| 86× | pow-plus |
| 84× | pow-sqr |
| 81× | frac-add |
| 78× | associate-/l/ |
| 71× | rec-exp |
| 66× | rem-sqrt-square |
| 62× | pow2 |
| 60× | sin-mult |
| 40× | pow1/3 |
| 33× | pow-pow |
| 32× | tan-quot |
| 25× | log-pow |
| 23× | log-prod |
| 16× | pow-flip div-sub exp-prod |
| 15× | sum-log |
| 14× | diff-log |
| 13× | +-commutative |
| 12× | inv-pow pow-sub |
| 8× | associate-+r+ |
| 7× | exp-sum rem-log-exp |
| 6× | cube-unmult difference-of-sqr-1 sqr-sin |
| 4× | associate-+l+ frac-sub associate--l+ sqrt-unprod cos-sum |
| 3× | associate-+r- pow3 asin-acos rem-exp-log acos-asin |
| 2× | remove-posit16 sqrt-undiv sqrt-pow2 exp-to-pow cos-diff un-div-inv log-div |
| 1× | sub-div unpow2 rem-square-sqrt rem-cbrt-cube |
433 calls:
| 2.5s | (sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (* (cbrt l) (cbrt l)) (* (/ (cbrt l) Om) n)))))))))) |
| 2.4s | (sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l))))))))))) |
| 2.3s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l)))))))))) |
| 2.0s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n))))))))) |
| 1.8s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
Total 47.8b remaining (25.7%)
Threshold costs 4.3b (2.3%)
| 12.5b | 3.7% | Henrywood and Agarwal, Equation (13) |
| 8.7b | -2% | Maksimov and Kolovsky, Equation (3) |
| 7.8b | 30.5% | Toniolo and Linder, Equation (13) |
| 5.7b | 75.5% | Toniolo and Linder, Equation (7) |
| 3.8b | 13.8% | Henrywood and Agarwal, Equation (12) |