17410 calls:
| 3.1s | (* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l))) |
| 2.6s | (* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l))) |
| 2.4s | (* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* (/ h l) (/ h l)) (/ h l))) |
| 2.4s | (* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l))) |
| 2.3s | (* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l))) |
| 56× | intervals |
| 55.0s | 232496× | body | 80 | valid |
| 39.8s | 151353× | body | 80 | nan |
| 29.7s | 18831× | body | 1280 | valid |
| 19.4s | 8373× | body | 10240 | exit |
| 16.1s | 12779× | body | 640 | valid |
| 9.3s | 5892× | body | 2560 | valid |
| 5.9s | 6699× | body | 320 | valid |
| 5.5s | 2443× | body | 5120 | valid |
| 5.0s | 7719× | body | 160 | valid |
| 941.0ms | 8256× | pre | 80 | true |
| 696.0ms | 565× | body | 1280 | nan |
| 582.0ms | 616× | body | 640 | nan |
| 232.0ms | 385× | body | 320 | nan |
| 64.0ms | 200× | body | 160 | nan |
411 calls:
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (sqrt (/ (cbrt d) (cbrt h)))) (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l))))) (- 1 (* (/ (* (* (/ M 2) (* (/ D d) (/ (cbrt h) (cbrt l)))) (* (/ M 2) (* (/ D d) (/ (cbrt h) (cbrt l))))) 2) (/ (cbrt h) (cbrt l))))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (pow (* (/ l Om) (* (- U U*) (* (/ l Om) n))) 1)))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* (/ l Om) (* (/ l Om) n)) (- U U*))))) |
| 109× | rewrite-expression-head |
411 calls:
| 3.1s | (* (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1))) |
| 810.0ms | (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1) |
| 807.0ms | (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) |
| 730.0ms | (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) |
| 546.0ms | (/ (- (* (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))) (* 1 1)) (+ (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) |
| 92264× | times-frac |
| 34829× | add-sqr-sqrt |
| 34747× | *-un-lft-identity |
| 33797× | add-cube-cbrt |
| 19825× | sqrt-prod |
| 5610× | add-exp-log |
| 4160× | add-cbrt-cube |
| 2792× | div-inv |
| 2088× | associate-/r/ |
| 2084× | div-exp |
| 2009× | prod-exp |
| 1870× | cbrt-prod |
| 1827× | pow1 |
| 1507× | cbrt-undiv |
| 1455× | cbrt-unprod |
| 1363× | associate-/l* |
| 1252× | sqrt-div |
| 850× | associate-*r* |
| 835× | associate-*r/ |
| 778× | associate-*l* |
| 721× | associate-/r* |
| 716× | associate-*l/ |
| 693× | frac-times |
| 690× | flip-+ flip3-+ |
| 581× | pow-prod-down |
| 528× | add-log-exp |
| 411× | insert-posit16 |
| 354× | distribute-lft-out |
| 290× | unpow-prod-down |
| 285× | pow-unpow |
| 251× | unswap-sqr |
| 247× | pow-prod-up |
| 237× | difference-of-squares |
| 235× | pow1/3 |
| 206× | flip3-- flip-- |
| 201× | pow-exp |
| 192× | distribute-lft-out-- |
| 190× | frac-add |
| 182× | swap-sqr |
| 161× | pow-sqr |
| 159× | sqr-pow |
| 150× | *-commutative |
| 136× | sqrt-pow1 |
| 124× | 1-exp |
| 118× | distribute-rgt-neg-in |
| 115× | tan-quot |
| 112× | distribute-lft-neg-in |
| 110× | pow1/2 |
| 101× | pow-plus |
| 90× | pow-to-exp |
| 88× | rec-exp |
| 87× | cbrt-div |
| 86× | frac-sub |
| 80× | sin-mult |
| 74× | pow2 |
| 72× | rem-sqrt-square |
| 69× | frac-2neg clear-num |
| 66× | sub-neg |
| 62× | distribute-rgt-in distribute-lft-in |
| 53× | associate-/l/ |
| 39× | diff-log |
| 30× | pow-pow |
| 24× | sum-log |
| 23× | div-sub |
| 21× | +-commutative |
| 20× | associate--l+ |
| 16× | neg-mul-1 |
| 14× | log-pow |
| 13× | exp-prod |
| 10× | pow-flip associate--r+ cube-prod |
| 9× | pow-sub |
| 8× | inv-pow distribute-neg-frac |
| 7× | neg-sub0 unpow2 |
| 6× | log-prod neg-log cube-div |
| 5× | associate--r- |
| 4× | associate-+r+ distribute-frac-neg sqr-sin distribute-rgt-out-- unpow1/3 |
| 3× | cube-unmult associate--l- exp-to-pow asin-acos |
| 2× | associate-+l+ remove-posit16 associate-+r- pow3 difference-of-sqr-1 sqrt-unprod rem-log-exp rem-square-sqrt cos-sum acos-asin |
| 1× | sqrt-undiv unpow3 sub-div sqrt-pow2 rem-exp-log cube-mult cos-diff rem-cbrt-cube |
Total 67.2b remaining (36.2%)
Threshold costs 3.5b (1.9%)
| 13.2b | -7% | Maksimov and Kolovsky, Equation (32) |
| 12.8b | -11.2% | Henrywood and Agarwal, Equation (13) |
| 8.8b | 16.1% | Toniolo and Linder, Equation (13) |
| 8.1b | 9.5% | Maksimov and Kolovsky, Equation (3) |
| 7.9b | 47.2% | Henrywood and Agarwal, Equation (3) |