| 78× | intervals |
| 8.6m | 53096× | body | 10240 | exit |
| 1.2m | 43533× | body | 1280 | valid |
| 25.6s | 30666× | body | 640 | valid |
| 20.1s | 205226× | body | 80 | valid |
| 13.8s | 152994× | body | 80 | nan |
| 11.1s | 27463× | body | 320 | valid |
| 9.4s | 193340× | pre | 80 | true |
| 9.2s | 36345× | body | 160 | valid |
| 2.1s | 2995× | body | 2560 | valid |
| 773.0ms | 7986× | body | 160 | nan |
| 515.0ms | 4034× | pre | 10240 | exit |
| 185.0ms | 8545× | pre | 80 | false |
| 171.0ms | 214× | body | 5120 | valid |
| 1.0ms | 1× | body | 640 | nan |
526 calls:
| 3.0s | (/ (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta)))) |
| 1.9s | (/ (+ (* (cos delta) (cos delta)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (/ (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 1.8s | (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) |
| 1.5s | (/ (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) |
| 810.0ms | (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) |
| 149× | rewrite-expression-head |
526 calls:
| 5.7s | (exp (+ (+ (* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0))))) (* (/ 1.0 2.0) (/ x (log 2.0)))) (log (log 2.0)))) |
| 2.4s | (* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m) |
| 1.9s | (log (- (/ (/ 1.0 8.0) (pow x 3)) (- (/ (/ 1.0 2.0) x) (/ (- (/ 1.0 16.0)) (pow x 5))))) |
| 1.6s | (- (/ (/ 1.0 8.0) (pow x 3)) (- (/ (/ 1.0 2.0) x) (/ (- (/ 1.0 16.0)) (pow x 5)))) |
| 1.3s | (* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0))))) |
| 12687× | times-frac |
| 9679× | *-un-lft-identity |
| 9333× | add-sqr-sqrt |
| 6654× | add-cube-cbrt |
| 3297× | sqrt-prod |
| 3230× | add-exp-log |
| 2202× | add-cbrt-cube |
| 1710× | pow1 |
| 1505× | associate-*r* |
| 1112× | unpow-prod-down |
| 1035× | div-exp |
| 1034× | prod-exp |
| 1030× | flip-- |
| 1029× | flip3-- |
| 1028× | associate-/l* |
| 1010× | difference-of-squares |
| 970× | distribute-lft-out-- |
| 908× | associate-/r* |
| 819× | add-log-exp |
| 770× | associate-*l/ |
| 693× | frac-times |
| 684× | cbrt-prod |
| 652× | associate-*l* |
| 627× | sqrt-div |
| 575× | cbrt-unprod |
| 555× | pow-prod-down |
| 553× | cube-prod |
| 531× | associate-/r/ |
| 530× | cbrt-undiv |
| 520× | distribute-lft-out |
| 515× | div-inv |
| 446× | associate-*r/ |
| 434× | frac-add |
| 363× | sqr-pow |
| 344× | distribute-rgt-neg-in |
| 335× | pow-exp |
| 284× | unswap-sqr |
| 251× | pow-to-exp |
| 230× | flip-+ |
| 229× | flip3-+ |
| 190× | associate-/l/ |
| 184× | log-prod |
| 167× | cos-mult |
| 142× | clear-num frac-2neg |
| 139× | log-pow |
| 129× | sub-neg |
| 120× | *-commutative |
| 110× | swap-sqr |
| 106× | unpow3 cube-mult |
| 104× | distribute-lft-neg-in |
| 94× | diff-log |
| 89× | exp-prod |
| 81× | sin-mult |
| 74× | pow-prod-up |
| 72× | pow-sqr |
| 68× | 1-exp sum-log |
| 67× | div-sub |
| 58× | cbrt-div |
| 57× | distribute-rgt-in unpow2 distribute-lft-in frac-sub |
| 56× | sqrt-pow1 |
| 54× | pow1/2 |
| 48× | +-commutative |
| 45× | log-div |
| 40× | pow1/3 |
| 34× | rem-sqrt-square pow-plus |
| 30× | pow-unpow rec-exp tan-quot associate--r+ |
| 26× | neg-sub0 |
| 25× | associate--l+ |
| 22× | exp-sum |
| 21× | pow2 rem-log-exp |
| 19× | cos-diff |
| 18× | cube-div pow-pow sub-div |
| 17× | associate-+r+ |
| 16× | neg-log associate-+l- |
| 15× | distribute-rgt-out |
| 14× | associate-+r- |
| 13× | acos-asin cos-sum associate--l- |
| 12× | sin-diff |
| 11× | rem-cube-cbrt rem-exp-log distribute-frac-neg |
| 10× | associate-+l+ associate--r- |
| 9× | acos-neg rem-cbrt-cube |
| 8× | sin-cos-mult neg-mul-1 |
| 7× | difference-cubes |
| 6× | sub0-neg sqrt-unprod distribute-rgt-neg-out |
| 5× | exp-diff sin-sum |
| 3× | distribute-lft1-in distribute-rgt-out-- |
| 2× | sqrt-pow2 sin-neg asin-acos sqr-cos |
| 1× | sum-cubes inv-pow unsub-neg pow-flip rem-square-sqrt tanh-undef distribute-neg-frac tanh-def |
Total 26.1b remaining (20.7%)
Threshold costs 7.5b (5.9%)
| 11.1b | -1.2% | Quotient of products |
| 3.9b | 71.3% | Equirectangular approximation to distance on a great circle |
| 1.5b | 93.8% | Cubic critical |
| 1.1b | 95.4% | Quadratic roots, full range |
| 1.0b | -0.2% | 2-ancestry mixing, zero discriminant |