19297 calls:
| 3.6s | (/ (/ (* (/ (* (* (* 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)) |
| 3.4s | (/ (/ (* (/ (* (* (* 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)) |
| 2.4s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t t) t) (/ (* (* t t) t) (/ (* (* l l) l) (* (* (sin k) (sin k)) (sin k))))) (/ (* (* t t) t) (/ (* (* l l) l) (* (* (sin k) (sin k)) (sin k))))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.2s | (/ (/ (* (* 2 2) 2) (* (* (fma (/ k t) (/ k t) 2) (fma (/ k t) (/ k t) 2)) (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t (/ t (/ l (sin k)))) (/ t (/ l (sin k)))) (* (* t (/ t (/ l (sin k)))) (/ t (/ l (sin k))))) (* (* t (/ t (/ l (sin k)))) (/ t (/ l (sin k))))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.2s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (* (* (* (* (sin k) (sin k)) (sin k)) (* (* (tan k) (tan k)) (tan k))) (/ (* (* t t) t) (* (/ (* (* l l) l) (* (* t t) t)) (/ (* (* l l) l) (* (* t t) t)))))) |
| 57× | intervals |
| 1.0m | 247068× | body | 80 | valid |
| 43.2s | 159531× | body | 80 | nan |
| 33.0s | 19088× | body | 1280 | valid |
| 20.3s | 8666× | body | 10240 | exit |
| 20.0s | 14732× | body | 640 | valid |
| 7.4s | 5764× | body | 2560 | valid |
| 7.2s | 7610× | body | 320 | valid |
| 4.9s | 2467× | body | 5120 | valid |
| 4.4s | 8157× | body | 160 | valid |
| 926.0ms | 641× | body | 640 | nan |
| 671.0ms | 646× | body | 1280 | nan |
| 446.0ms | 8256× | pre | 80 | true |
| 207.0ms | 333× | body | 320 | nan |
| 66.0ms | 190× | body | 160 | nan |
422 calls:
| 1.9s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 1.9s | (* (* (* (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))) |
| 1.9s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (/ (/ n (/ Om l)) (/ Om l)) (- U U*))))) |
| 1.8s | (* (* (* (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 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (/ (* (/ n (/ Om l)) (- U U*)) (/ Om l))))) |
| 112× | rewrite-expression-head |
422 calls:
| 4.3s | (* (cbrt (/ NdChar (+ (* (* (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))) (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))) 1))) (cbrt (/ NdChar (+ (* (* (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))) (cbrt (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))) 1)))) |
| 2.0s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.9s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.8s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.7s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 27111× | times-frac |
| 17319× | *-un-lft-identity |
| 15814× | add-sqr-sqrt |
| 13381× | add-cube-cbrt |
| 5498× | add-exp-log |
| 4832× | sqrt-prod |
| 3533× | add-cbrt-cube |
| 3380× | prod-diff |
| 2576× | distribute-lft-out |
| 2062× | div-exp |
| 1972× | prod-exp |
| 1411× | pow1 |
| 1402× | div-inv |
| 1388× | associate-*l* |
| 1344× | cbrt-undiv |
| 1288× | associate-/l* |
| 1040× | cbrt-unprod |
| 974× | associate-*r* |
| 934× | unpow-prod-down |
| 927× | associate-/r* |
| 915× | associate-/r/ |
| 634× | cbrt-prod |
| 500× | add-log-exp |
| 446× | difference-of-squares |
| 422× | expm1-log1p-u insert-posit16 log1p-expm1-u |
| 375× | pow-prod-down |
| 351× | associate-*r/ |
| 345× | sqr-pow |
| 297× | pow-exp distribute-rgt-in distribute-lft-in |
| 270× | unswap-sqr |
| 239× | distribute-lft-out-- |
| 228× | associate-*l/ |
| 220× | frac-times |
| 170× | flip3-- flip-- |
| 168× | flip-+ flip3-+ |
| 166× | 1-exp |
| 161× | distribute-lft-neg-in distribute-rgt-neg-in |
| 160× | rec-exp |
| 153× | pow-unpow |
| 127× | pow-prod-up |
| 124× | *-commutative pow-to-exp |
| 112× | frac-2neg clear-num |
| 108× | sqrt-div |
| 106× | fma-neg |
| 103× | sqrt-pow1 |
| 91× | swap-sqr |
| 83× | pow-sqr |
| 80× | fma-def |
| 79× | sub-neg |
| 74× | exp-prod |
| 66× | pow1/3 |
| 65× | pow-plus |
| 63× | associate--l+ |
| 61× | pow1/2 |
| 55× | exp-sum |
| 54× | pow-flip |
| 50× | pow2 |
| 46× | frac-sub |
| 45× | distribute-rgt-out-- |
| 43× | fma-udef |
| 42× | associate-/l/ |
| 38× | rem-sqrt-square |
| 35× | tan-quot |
| 30× | difference-of-sqr-1 |
| 28× | log-prod cos-sum |
| 23× | pow-pow neg-mul-1 |
| 22× | hypot-udef div-sub |
| 20× | sum-log cbrt-div diff-log |
| 17× | +-commutative inv-pow |
| 16× | associate-+r+ |
| 13× | sqrt-unprod pow-sub |
| 12× | log-pow |
| 10× | distribute-neg-frac |
| 8× | frac-add |
| 7× | un-div-inv |
| 6× | unpow-prod-up neg-sub0 distribute-frac-neg |
| 5× | rem-log-exp unpow2 |
| 4× | pow-div acos-asin cos-diff |
| 3× | rem-square-sqrt rem-exp-log |
| 2× | exp-diff associate-+r- sub-div asin-acos hypot-def sin-mult e-exp-1 |
| 1× | mul0 pow3 sqrt-pow2 associate--r+ exp-neg rem-cbrt-cube expm1-def |
Total 40.2b remaining (27.1%)
| 7.9b | -4.7% | Given's Rotation SVD example |
| 7.5b | 25.7% | Toniolo and Linder, Equation (13) |
| 5.4b | 77% | Toniolo and Linder, Equation (7) |
| 5.4b | 25.1% | Henrywood and Agarwal, Equation (13) |
| 4.9b | -22.7% | Maksimov and Kolovsky, Equation (3) |