20358 calls:
| 2.5s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t t) t) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.5s | (/ (* (* (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h) (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h)) (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h)) (* (* (* 2 l) (* 2 l)) (* 2 l))) |
| 2.4s | (* (* (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h)) |
| 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) (* (* (/ (sin k) (/ l t)) (/ (sin k) (/ l t))) (/ (sin k) (/ l t)))) (* (* (/ (sin k) (/ l t)) (/ (sin k) (/ l t))) (/ (sin k) (/ l t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.4s | (* (* (* h h) h) (/ (* (/ (* (* 1 1) 1) (* (* l l) l)) (* (* (* M M) M) (* (* D D) D))) (* (* (* 2 d) (* 2 d)) (* 2 d)))) |
| 57× | intervals |
| 1.1m | 246407× | body | 80 | valid |
| 42.1s | 159729× | body | 80 | nan |
| 32.9s | 18739× | body | 1280 | valid |
| 20.5s | 8774× | body | 10240 | exit |
| 18.6s | 14500× | body | 640 | valid |
| 7.8s | 5707× | body | 2560 | valid |
| 7.7s | 7370× | body | 320 | valid |
| 5.2s | 2404× | body | 5120 | valid |
| 4.4s | 8004× | body | 160 | valid |
| 809.0ms | 593× | body | 1280 | nan |
| 669.0ms | 595× | body | 640 | nan |
| 420.0ms | 8256× | pre | 80 | true |
| 263.0ms | 342× | body | 320 | nan |
| 75.0ms | 190× | body | 160 | nan |
403 calls:
| 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 (/ (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h) (* 2 l)))) |
| 1.6s | (sqrt (* (* 2 n) (* U (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 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 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.6s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 109× | rewrite-expression-head |
403 calls:
| 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)) |
| 1.5s | (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) |
| 1.4s | (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) |
| 1.2s | (/ NdChar (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) |
| 1.1s | (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1) |
| 23383× | times-frac |
| 13851× | add-sqr-sqrt |
| 13434× | *-un-lft-identity |
| 12002× | add-cube-cbrt |
| 6936× | sqrt-prod |
| 5743× | add-exp-log |
| 3840× | add-cbrt-cube |
| 2727× | prod-diff |
| 2391× | prod-exp |
| 1850× | div-exp |
| 1545× | pow1 |
| 1445× | unpow-prod-down |
| 1395× | cbrt-unprod |
| 1380× | associate-*l* |
| 1353× | cbrt-undiv |
| 1185× | associate-/l* |
| 1145× | div-inv |
| 807× | associate-*r* |
| 775× | cube-prod |
| 772× | difference-of-squares |
| 678× | cbrt-prod |
| 649× | associate-/r/ |
| 550× | associate-/r* |
| 486× | add-log-exp |
| 440× | associate-*r/ |
| 421× | sqr-pow |
| 418× | distribute-lft-out-- |
| 416× | pow-prod-down |
| 404× | log1p-expm1-u |
| 403× | expm1-log1p-u insert-posit16 |
| 362× | distribute-rgt-neg-in |
| 354× | distribute-lft-neg-in |
| 320× | pow-unpow |
| 317× | pow-exp |
| 289× | exp-sum |
| 282× | unswap-sqr |
| 271× | associate-*l/ |
| 260× | distribute-lft-out |
| 249× | frac-times |
| 229× | distribute-rgt-in distribute-lft-in |
| 173× | pow-prod-up |
| 163× | flip-- flip3-- |
| 155× | fma-neg |
| 154× | pow-to-exp |
| 138× | cube-mult |
| 136× | *-commutative |
| 133× | unpow3 |
| 114× | 1-exp rec-exp |
| 107× | pow-sqr |
| 106× | sqrt-div |
| 101× | sqrt-pow1 |
| 97× | swap-sqr |
| 95× | frac-2neg clear-num |
| 86× | pow-plus |
| 76× | pow1/2 |
| 75× | sub-neg |
| 72× | cbrt-div |
| 63× | pow2 |
| 62× | rem-sqrt-square |
| 59× | pow1/3 |
| 52× | associate--l+ unpow2 |
| 49× | flip-+ flip3-+ |
| 43× | fma-udef |
| 42× | frac-sub |
| 40× | associate-/l/ |
| 39× | exp-prod |
| 38× | neg-mul-1 |
| 37× | diff-log |
| 35× | log-prod |
| 32× | log-pow |
| 31× | pow-pow |
| 30× | tan-quot |
| 27× | div-sub |
| 26× | frac-add |
| 25× | cos-sum |
| 22× | associate--r+ fma-def |
| 20× | pow-flip |
| 19× | pow-sub |
| 10× | inv-pow rem-exp-log |
| 8× | neg-log distribute-neg-frac |
| 7× | sum-log +-commutative |
| 6× | neg-sub0 |
| 5× | difference-cubes |
| 4× | distribute-frac-neg difference-of-sqr-1 un-div-inv rem-log-exp acos-asin associate--r- |
| 3× | exp-diff sub-div distribute-rgt-out-- asin-acos |
| 2× | sin-sum mul0 pow-div associate--l- sqrt-unprod hypot-udef rem-square-sqrt cube-div |
| 1× | expm1-log1p expm1-udef remove-posit16 associate-+r- sqrt-undiv rem-cube-cbrt pow3 sqrt-pow2 exp-to-pow cos-diff distribute-rgt-out log-div |
Total 39.8b remaining (28%)
| 10.1b | 30.1% | Toniolo and Linder, Equation (13) |
| 6.5b | 17.1% | Henrywood and Agarwal, Equation (13) |
| 5.3b | 77.8% | Toniolo and Linder, Equation (7) |
| 4.6b | -13.8% | Maksimov and Kolovsky, Equation (3) |
| 4.6b | 24.3% | Henrywood and Agarwal, Equation (12) |