| 78× | intervals |
| 1.6m | 20426× | body | 10240 | exit |
| 1.3m | 43746× | body | 1280 | valid |
| 27.1s | 30691× | body | 640 | valid |
| 20.8s | 202771× | body | 80 | valid |
| 14.9s | 153013× | body | 80 | nan |
| 12.6s | 27749× | body | 320 | valid |
| 8.0s | 158253× | pre | 80 | true |
| 7.9s | 35759× | body | 160 | valid |
| 2.7s | 3100× | body | 2560 | valid |
| 838.0ms | 7869× | body | 160 | nan |
| 432.0ms | 4116× | pre | 10240 | exit |
| 248.0ms | 8292× | pre | 80 | false |
| 167.0ms | 220× | body | 5120 | valid |
| 2.0ms | 1× | body | 640 | nan |
493 calls:
| 5.7s | (/ (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (- (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))) (* (cos phi1) (cos phi1)))) |
| 2.0s | (sqrt (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n) (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))))))) |
| 2.0s | (sqrt (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n) (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))))))) |
| 1.9s | (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) |
| 880.0ms | (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 147× | rewrite-expression-head |
493 calls:
| 1.4s | (sqrt (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n) (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))))))) |
| 1.2s | (sqrt (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n) (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))))))) |
| 568.0ms | (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) |
| 478.0ms | (log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3)))) |
| 451.0ms | (* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m)) |
| 71110× | times-frac |
| 40583× | add-sqr-sqrt |
| 35646× | *-un-lft-identity |
| 28611× | unpow-prod-down |
| 23979× | add-cube-cbrt |
| 18333× | sqrt-prod |
| 6537× | difference-of-squares |
| 3746× | sqr-pow |
| 3476× | distribute-lft-out-- |
| 3049× | add-exp-log |
| 2334× | distribute-lft-out |
| 1964× | associate-/r/ |
| 1911× | add-cbrt-cube |
| 1816× | div-inv |
| 1169× | flip-- |
| 1168× | flip3-- |
| 1082× | flip-+ |
| 1081× | flip3-+ |
| 1026× | pow1 |
| 1008× | prod-exp |
| 985× | div-exp |
| 936× | frac-times |
| 889× | associate-*l/ |
| 802× | add-log-exp |
| 778× | associate-*r* |
| 737× | associate-/r* |
| 730× | associate-/l* |
| 629× | frac-add |
| 590× | sqrt-div |
| 555× | associate-*l* |
| 488× | associate-*r/ |
| 470× | cbrt-undiv |
| 461× | cbrt-unprod |
| 344× | pow-exp |
| 328× | log-prod |
| 325× | cbrt-prod |
| 269× | cube-prod |
| 247× | pow-to-exp |
| 236× | cos-mult |
| 210× | pow-prod-down |
| 206× | distribute-rgt-neg-in |
| 161× | cbrt-div |
| 160× | unswap-sqr |
| 158× | log-pow |
| 143× | sub-neg |
| 128× | rem-sqrt-square |
| 125× | clear-num frac-2neg |
| 111× | *-commutative |
| 95× | associate-/l/ diff-log |
| 91× | exp-prod |
| 87× | 1-exp |
| 82× | associate-+r+ |
| 74× | frac-sub |
| 71× | distribute-rgt-in distribute-lft-in |
| 69× | sum-log sqrt-pow1 |
| 61× | swap-sqr |
| 58× | rec-exp log-div |
| 54× | pow1/2 |
| 51× | +-commutative |
| 50× | distribute-lft-neg-in |
| 44× | div-sub |
| 40× | unpow3 |
| 39× | associate--l+ |
| 36× | cube-mult |
| 31× | rem-log-exp |
| 30× | pow-unpow distribute-rgt-out |
| 28× | tan-quot |
| 24× | neg-mul-1 |
| 23× | neg-sub0 |
| 22× | exp-sum |
| 21× | sin-mult |
| 19× | sin-diff |
| 18× | pow-prod-up |
| 17× | pow1/3 unpow2 |
| 16× | cube-div pow-sqr neg-log associate-+l- |
| 15× | cos-diff |
| 14× | associate--l- associate-+l+ pow-pow |
| 13× | sum-cubes associate-+r- cos-sum |
| 12× | sin-cos-mult pow2 pow-plus |
| 11× | rem-cube-cbrt |
| 10× | associate--r+ |
| 9× | inv-pow distribute-rgt-out-- pow-flip |
| 8× | acos-asin |
| 7× | exp-diff sin-sum |
| 5× | distribute-frac-neg distribute-lft1-in associate--r- |
| 4× | distribute-neg-frac rem-cbrt-cube |
| 3× | acos-neg un-div-inv sqrt-unprod distribute-neg-in asin-acos log-rec |
| 2× | sub0-neg rem-exp-log distribute-rgt-neg-out |
| 1× | difference-cubes unsub-neg rem-square-sqrt sub-div tanh-undef sqr-cos exp-to-pow tanh-def |
Total 36.5b remaining (26.4%)
Threshold costs 5.7b (4.1%)
| 7.4b | 46.4% | Quadratic roots, narrow range |
| 6.1b | 79.1% | Quadratic roots, full range |
| 4.6b | 57.4% | Quotient of products |
| 3.8b | 73.4% | Equirectangular approximation to distance on a great circle |
| 3.7b | 0% | Cubic critical, wide range |