| 78× | intervals |
| 9.8m | 58772× | body | 10240 | exit |
| 1.2m | 43306× | body | 1280 | valid |
| 29.9s | 30588× | body | 640 | valid |
| 18.8s | 205098× | body | 80 | valid |
| 14.1s | 27969× | body | 320 | valid |
| 12.7s | 152559× | body | 80 | nan |
| 9.5s | 198124× | pre | 80 | true |
| 8.3s | 36128× | body | 160 | valid |
| 2.3s | 3125× | body | 2560 | valid |
| 721.0ms | 7892× | body | 160 | nan |
| 563.0ms | 4142× | pre | 10240 | exit |
| 263.0ms | 250× | body | 5120 | valid |
| 189.0ms | 8365× | pre | 80 | false |
| 1.0ms | 1× | body | 640 | nan |
499 calls:
| 1.3s | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log (/ 1.0 2.0)) (* (/ 1.0 2.0) t))) 1) (pow (/ (- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3)) (+ (* (/ 1.0 (+ 1.0 (exp (- t)))) (+ (/ 1.0 (+ 1.0 (exp (- t)))) 1.0)) (* 1.0 1.0))) c_n))) |
| 891.0ms | (pow E (log (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))))) |
| 784.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log (/ 1.0 2.0)) (* (/ 1.0 2.0) t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 736.0ms | (- (* (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)))))))) |
| 706.0ms | (- (pow (cos delta) 2) (+ (* (pow (sin delta) 2) (* (pow (cos phi1) 2) (* (pow (cos theta) 2) (pow (sin phi1) 2)))) (+ (* 2 (* (sin delta) (* (cos phi1) (* (pow (sin phi1) 3) (* (cos delta) (cos theta)))))) (* (pow (pow (sin phi1) (sqrt 4)) (sqrt 4)) (pow (cos delta) 2))))) |
| 146× | rewrite-expression-head |
499 calls:
| 4.6s | (- (pow (cos delta) 2) (+ (* (pow (sin delta) 2) (* (pow (cos phi1) 2) (* (pow (cos theta) 2) (pow (sin phi1) 2)))) (+ (* 2 (* (sin delta) (* (cos phi1) (* (pow (sin phi1) 3) (* (cos delta) (cos theta)))))) (* (pow (pow (sin phi1) (sqrt 4)) (sqrt 4)) (pow (cos delta) 2))))) |
| 4.5s | (- (pow (cos delta) 2) (+ (* (pow (sin delta) 2) (* (pow (cos phi1) 2) (* (pow (cos theta) 2) (pow (sin phi1) 2)))) (+ (* 2 (* (sin delta) (* (cos phi1) (* (pow (sin phi1) 3) (* (cos delta) (cos theta)))))) (* (pow (sin phi1) 4) (pow (cos delta) 2))))) |
| 1.5s | (- (/ x (sqrt 1.0)) (- (/ (/ (pow x 3) (pow (sqrt 1.0) 3)) 6) (log (sqrt 1.0)))) |
| 831.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 804.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 18113× | times-frac |
| 11419× | add-sqr-sqrt |
| 11245× | *-un-lft-identity |
| 7762× | add-cube-cbrt |
| 3393× | add-exp-log |
| 1927× | add-cbrt-cube |
| 1575× | difference-of-squares |
| 1501× | sqrt-prod |
| 1456× | distribute-lft-out-- |
| 1227× | div-exp |
| 1199× | associate-*r* |
| 1152× | associate-/l* |
| 1126× | unpow-prod-down |
| 1064× | prod-exp |
| 1038× | pow1 |
| 1033× | associate-*l/ |
| 952× | div-inv |
| 926× | flip-- |
| 925× | flip3-- |
| 847× | add-log-exp |
| 791× | cube-prod |
| 717× | associate-/r* |
| 698× | associate-*l* |
| 634× | frac-times |
| 605× | distribute-rgt-neg-in |
| 546× | frac-add |
| 509× | cbrt-undiv |
| 468× | sqrt-div |
| 467× | pow-exp |
| 458× | associate-*r/ |
| 416× | cbrt-unprod |
| 390× | associate-/r/ |
| 342× | sqr-pow |
| 339× | pow-to-exp |
| 281× | distribute-lft-out |
| 249× | log-div |
| 219× | unswap-sqr |
| 209× | pow-prod-down |
| 202× | flip-+ |
| 201× | flip3-+ |
| 194× | frac-sub |
| 182× | log-prod |
| 166× | cbrt-prod |
| 164× | unpow3 cube-mult |
| 133× | associate-/l/ |
| 125× | sub-neg |
| 123× | clear-num frac-2neg |
| 122× | un-div-inv |
| 114× | diff-log |
| 112× | *-commutative |
| 99× | swap-sqr |
| 94× | 1-exp |
| 93× | unpow2 |
| 75× | sum-log |
| 71× | exp-diff log-pow |
| 66× | pow-sub |
| 65× | cbrt-div |
| 64× | rec-exp |
| 58× | exp-prod |
| 57× | div-sub |
| 51× | pow-unpow |
| 42× | +-commutative |
| 40× | distribute-lft-neg-in |
| 39× | pow1/2 distribute-rgt-in distribute-lft-in sqrt-pow1 |
| 35× | rem-sqrt-square |
| 32× | sin-cos-mult |
| 31× | associate-+l- |
| 30× | pow1/3 cos-mult |
| 27× | neg-sub0 |
| 26× | associate-+l+ tan-quot |
| 22× | rem-log-exp |
| 20× | pow-pow |
| 19× | pow-sqr neg-log sin-mult pow-prod-up associate--r+ |
| 18× | associate--l+ sin-diff |
| 17× | rem-cube-cbrt pow-flip exp-sum |
| 16× | associate-+r+ |
| 15× | cos-diff |
| 14× | associate--l- pow-plus |
| 13× | distribute-rgt-out |
| 12× | pow2 |
| 11× | cos-sum rem-exp-log inv-pow |
| 10× | acos-asin neg-mul-1 |
| 9× | cube-div sin-sum distribute-frac-neg |
| 7× | associate-+r- |
| 6× | unpow-prod-up associate--r- |
| 5× | difference-cubes asin-acos exp-to-pow |
| 4× | acos-neg |
| 3× | distribute-rgt-neg-out |
| 2× | distribute-lft1-in sub-div sum-cubes rem-cbrt-cube distribute-neg-frac |
| 1× | e-exp-1 distribute-rgt-out-- tanh-undef sqr-cos tanh-def log-rec |
Total 32.2b remaining (26.4%)
Threshold costs 7.6b (6.2%)
| 11.8b | -8.8% | Quotient of products |
| 8.7b | 52.2% | Equirectangular approximation to distance on a great circle |
| 3.1b | 89.1% | Quadratic roots, full range |
| 1.0b | 95.5% | Cubic critical |
| 0.8b | 0% | 2-ancestry mixing, zero discriminant |