| 78× | intervals |
| 7.2m | 49374× | body | 10240 | exit |
| 34.1s | 44132× | body | 1280 | valid |
| 11.5s | 30451× | body | 640 | valid |
| 7.2s | 204876× | body | 80 | valid |
| 4.6s | 152740× | body | 80 | nan |
| 4.4s | 27363× | body | 320 | valid |
| 3.2s | 188619× | pre | 80 | true |
| 3.2s | 36241× | body | 160 | valid |
| 788.0ms | 3014× | body | 2560 | valid |
| 391.0ms | 4203× | pre | 10240 | exit |
| 377.0ms | 7851× | body | 160 | nan |
| 100.0ms | 8396× | pre | 80 | false |
| 97.0ms | 218× | body | 5120 | valid |
| 1.0ms | 2× | body | 640 | nan |
| 0.0ms | 1× | body | 320 | nan |
509 calls:
| 1.3s | (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) |
| 966.0ms | (cbrt (/ (pow (- (* (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)))))))) 3) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 794.0ms | (cbrt (/ (pow (- (* (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)))))))) 3) (pow (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3))) |
| 734.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 709.0ms | (pow (- (* (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)))))))) 3) |
| 223× | egg-herbie |
| 145× | rewrite-expression-head |
509 calls:
| 635.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 542.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 366.0ms | (* (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) |
| 250.0ms | (* (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a))) |
| 217.0ms | (* 2.0 (/ (pow x 2) (pow 1.0 2))) |
| 30285× | associate-*l/ |
| 20735× | frac-times |
| 19407× | times-frac |
| 16748× | flip-- |
| 16747× | flip3-- |
| 15667× | cbrt-div |
| 11297× | *-un-lft-identity |
| 11176× | add-sqr-sqrt |
| 7408× | add-cube-cbrt |
| 6321× | associate-*r/ |
| 6204× | sqrt-div |
| 6007× | frac-add |
| 2728× | add-exp-log |
| 2010× | distribute-rgt-neg-in |
| 1759× | add-cbrt-cube |
| 1707× | difference-of-squares |
| 1574× | distribute-lft-out-- |
| 1479× | sqrt-prod |
| 1325× | distribute-lft-neg-in |
| 1306× | pow1 |
| 1281× | neg-mul-1 |
| 1154× | associate-*r* |
| 920× | prod-exp |
| 825× | add-log-exp |
| 783× | div-exp |
| 735× | associate-/l* |
| 686× | associate-/r* |
| 659× | unpow-prod-down |
| 646× | div-inv |
| 604× | associate-/r/ |
| 547× | cbrt-prod |
| 471× | associate-*l* |
| 428× | cbrt-unprod |
| 375× | pow-exp |
| 365× | cbrt-undiv |
| 355× | pow-prod-down |
| 354× | distribute-lft-out |
| 348× | cube-prod |
| 275× | pow-to-exp |
| 235× | flip-+ |
| 234× | flip3-+ |
| 218× | sqr-pow |
| 214× | unswap-sqr |
| 177× | log-prod |
| 131× | associate-/l/ |
| 117× | sub-neg |
| 116× | *-commutative |
| 115× | clear-num frac-2neg |
| 98× | frac-sub |
| 92× | diff-log |
| 86× | log-pow |
| 84× | unpow3 cube-mult exp-prod |
| 78× | unpow2 |
| 72× | sum-log |
| 69× | pow-unpow |
| 65× | div-sub |
| 60× | swap-sqr |
| 57× | sqrt-pow1 |
| 53× | pow1/2 |
| 51× | pow1/3 |
| 48× | +-commutative |
| 47× | distribute-rgt-in distribute-lft-in |
| 45× | sin-mult |
| 42× | pow-prod-up |
| 40× | pow-sqr |
| 38× | rem-sqrt-square |
| 36× | cube-div neg-sub0 tan-quot |
| 34× | pow-pow |
| 33× | log-div |
| 30× | associate-+l- |
| 27× | 1-exp distribute-rgt-out |
| 26× | associate--l+ |
| 23× | cos-mult |
| 22× | pow-plus rem-log-exp |
| 20× | rec-exp neg-log |
| 17× | pow2 sin-diff |
| 16× | rem-cube-cbrt distribute-frac-neg cos-diff |
| 15× | cos-sum |
| 14× | associate--l- |
| 13× | distribute-rgt-out-- |
| 12× | sin-cos-mult |
| 11× | associate-+r+ |
| 10× | exp-sum |
| 9× | sub-div |
| 8× | acos-asin |
| 7× | rem-exp-log associate--r+ |
| 5× | distribute-lft1-in sqrt-unprod sin-sum associate-+l+ |
| 4× | associate-+r- pow-flip rem-cbrt-cube |
| 3× | exp-diff acos-neg inv-pow associate--r- distribute-rgt-neg-out |
| 2× | un-div-inv asin-acos sqr-cos sqrt-undiv distribute-neg-frac exp-to-pow |
| 1× | sum-cubes rem-square-sqrt tanh-undef +-inverses tanh-def |
Total 28.2b remaining (20.7%)
Threshold costs 8.6b (6.3%)
| 13.9b | 0.9% | Equirectangular approximation to distance on a great circle |
| 3.4b | 69.1% | Quotient of products |
| 1.2b | 0% | 2-ancestry mixing, zero discriminant |
| 1.0b | 96.4% | Quadratic roots, full range |
| 1.0b | 95.5% | Cubic critical |