18083 calls:
| 4.3s | (/ (/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d 2) (* d 2)) (* d 2))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d 2) (* d 2)) (* d 2)))) (* (* 2 2) 2)) (* (* l l) l)) |
| 3.0s | (/ (/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d d) d) (* (* 2 2) 2))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d d) d) (* (* 2 2) 2)))) (* (* 2 2) 2)) (* (* l l) l)) |
| 3.0s | (/ (* (/ (* (* (* d d) d) (* (* c0 c0) c0)) (* (* (* w D) (* w D)) (* w D))) (/ (* (* (* d d) d) (* (* c0 c0) c0)) (* (* (* w D) (* w D)) (* w D)))) (* (* h h) h)) |
| 2.9s | (/ (* (/ (* (* (* d c0) (* d c0)) (* d c0)) (* (* (* w w) w) (* (* D D) D))) (/ (* (* (* d c0) (* d c0)) (* d c0)) (* (* (* w w) w) (* (* D D) D)))) (* (* h h) h)) |
| 2.9s | (/ (* (/ (* (* (* d d) d) (* (* c0 c0) c0)) (* (* (* w w) w) (* (* D D) D))) (/ (* (* (* d d) d) (* (* c0 c0) c0)) (* (* (* w w) w) (* (* D D) D)))) (* (* h h) h)) |
| 58× | intervals |
| 57.5s | 250107× | body | 80 | valid |
| 40.9s | 160569× | body | 80 | nan |
| 32.9s | 21702× | body | 1280 | valid |
| 20.6s | 15235× | body | 640 | valid |
| 19.4s | 8484× | body | 10240 | exit |
| 9.0s | 5745× | body | 2560 | valid |
| 5.6s | 7523× | body | 320 | valid |
| 5.4s | 2412× | body | 5120 | valid |
| 4.4s | 8084× | body | 160 | valid |
| 823.0ms | 8256× | pre | 80 | true |
| 634.0ms | 584× | body | 1280 | nan |
| 521.0ms | 636× | body | 640 | nan |
| 181.0ms | 320× | body | 320 | nan |
| 98.0ms | 188× | body | 160 | nan |
448 calls:
| 1.7s | (sqrt (+ (* t (* (* (* 2 n) U) 1)) (* (* (* (* (/ l Om) n) U) (- (* l -2) (* (* (/ l Om) n) (- U U*)))) 2))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (* (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) |
| 1.6s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (fabs (/ (cbrt d) (cbrt l))) (pow (/ (cbrt d) (cbrt l)) (/ 1 2)))) (- 1 (pow (* (/ (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2) l) h) 1))) |
| 1.6s | (sqrt (* (* (* (* 2 n) U) 1) (- t (* (/ l Om) (- (* l 2) (- (* (- U U*) (* (/ l Om) n)))))))) |
| 116× | rewrite-expression-head |
448 calls:
| 1.2s | (/ NdChar (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) |
| 1.1s | (* (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) |
| 799.0ms | (cbrt (* (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) |
| 733.0ms | (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) |
| 704.0ms | (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) |
| 38509× | times-frac |
| 18744× | *-un-lft-identity |
| 17878× | add-sqr-sqrt |
| 16576× | add-cube-cbrt |
| 9231× | add-exp-log |
| 6641× | add-cbrt-cube |
| 5453× | sqrt-prod |
| 4028× | prod-exp |
| 3190× | div-exp |
| 3070× | cbrt-prod |
| 2683× | cbrt-unprod |
| 2491× | cbrt-undiv |
| 1895× | pow1 |
| 1443× | associate-*r* |
| 1440× | div-inv |
| 1314× | associate-/r/ |
| 1029× | associate-/l* |
| 976× | associate-*l* |
| 852× | sqrt-div |
| 739× | associate-/r* |
| 678× | distribute-lft-out |
| 569× | pow-prod-down |
| 565× | associate-*r/ |
| 536× | difference-of-squares |
| 531× | add-log-exp |
| 501× | flip-+ flip3-+ |
| 489× | distribute-lft-out-- |
| 453× | associate-*l/ |
| 449× | frac-times |
| 448× | insert-posit16 |
| 430× | pow-exp |
| 366× | swap-sqr |
| 285× | distribute-rgt-neg-in |
| 282× | pow-to-exp |
| 274× | unswap-sqr |
| 261× | distribute-lft-neg-in |
| 241× | flip3-- flip-- |
| 211× | pow-unpow |
| 198× | unpow-prod-down |
| 195× | sqrt-pow1 |
| 190× | pow-prod-up |
| 181× | *-commutative |
| 149× | 1-exp |
| 134× | rec-exp |
| 132× | pow1/2 |
| 114× | tan-quot |
| 109× | frac-2neg clear-num |
| 103× | pow-sqr |
| 101× | pow-plus |
| 98× | frac-add |
| 96× | div-sub |
| 90× | associate-/l/ |
| 88× | exp-prod |
| 84× | log-pow |
| 77× | pow-sub |
| 70× | sqr-pow |
| 69× | rem-sqrt-square |
| 67× | pow2 |
| 65× | distribute-rgt-in distribute-lft-in |
| 62× | sin-mult |
| 60× | sub-neg |
| 49× | distribute-rgt-out-- |
| 40× | frac-sub |
| 36× | cbrt-div |
| 29× | pow1/3 |
| 27× | neg-mul-1 |
| 25× | log-prod |
| 23× | sum-log |
| 21× | pow-pow |
| 20× | pow-flip diff-log |
| 15× | +-commutative |
| 14× | sqr-sin |
| 11× | inv-pow |
| 10× | exp-sum distribute-frac-neg cube-prod rem-exp-log |
| 8× | associate-+r- difference-of-sqr-1 un-div-inv asin-acos |
| 7× | associate-+l+ |
| 6× | associate-+r+ cube-unmult associate--l+ pow-div distribute-neg-frac cos-sum cube-div |
| 5× | exp-diff |
| 4× | distribute-lft-neg-out sqrt-unprod sub-div associate--r+ rem-log-exp rem-square-sqrt associate--r- |
| 3× | neg-sub0 distribute-rgt-neg-out unpow2 cos-diff |
| 2× | pow3 associate-+l- log-div |
| 1× | remove-posit16 sqrt-undiv unpow3 sqrt-pow2 sqr-neg rem-cbrt-cube cube-mult acos-asin |
Total 51.0b remaining (32%)