| 78× | intervals |
| 3.1m | 26914× | body | 10240 | exit |
| 1.3m | 43594× | body | 1280 | valid |
| 29.2s | 30452× | body | 640 | valid |
| 20.7s | 202965× | body | 80 | valid |
| 16.1s | 153461× | body | 80 | nan |
| 13.1s | 27959× | body | 320 | valid |
| 9.4s | 35956× | body | 160 | valid |
| 8.3s | 164300× | pre | 80 | true |
| 1.9s | 3110× | body | 2560 | valid |
| 835.0ms | 8154× | body | 160 | nan |
| 504.0ms | 4113× | pre | 10240 | exit |
| 198.0ms | 8261× | pre | 80 | false |
| 118.0ms | 215× | body | 5120 | valid |
| 2.0ms | 2× | body | 640 | nan |
484 calls:
| 1.5s | (log (sqrt (exp (* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))))) |
| 883.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (/ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2.0))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 848.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (/ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 789.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 739.0ms | (/ (* (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 (- (+ (* 1/2 (pow t 2)) 2.0) t))) c_n))) |
| 145× | rewrite-expression-head |
484 calls:
| 881.0ms | (- (pow (/ (- (+ (/ 1.0 x) 3.0)) x) 1) (/ 3.0 (pow x 3))) |
| 537.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (* (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 466.0ms | (log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3)))) |
| 449.0ms | (* (- (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (sin lambda1) (* (* (sin lambda2) (sin lambda2)) (sin lambda1)))) (* (sin phi1) (cos phi2))) |
| 448.0ms | (* (- (/ m (/ v (- 1.0 m))) 1.0) m) |
| 5298× | times-frac |
| 5093× | add-sqr-sqrt |
| 5001× | *-un-lft-identity |
| 3645× | add-exp-log |
| 3149× | add-cube-cbrt |
| 2628× | associate-*l/ |
| 1897× | add-cbrt-cube |
| 1807× | flip-- |
| 1806× | flip3-- |
| 1675× | frac-times |
| 1347× | cbrt-div |
| 1311× | prod-exp |
| 1287× | div-exp |
| 1003× | pow1 |
| 875× | sqrt-div |
| 848× | difference-of-squares |
| 807× | frac-add associate-*r/ |
| 745× | add-log-exp |
| 649× | associate-/l* |
| 639× | unpow-prod-down |
| 624× | sqrt-prod |
| 618× | pow-exp |
| 596× | associate-*r* |
| 578× | associate-/r* |
| 552× | associate-*l* |
| 522× | distribute-lft-out-- |
| 483× | cbrt-undiv |
| 465× | cbrt-unprod |
| 435× | pow-to-exp |
| 433× | cube-prod |
| 400× | distribute-lft-out |
| 376× | cbrt-prod |
| 341× | div-inv |
| 340× | associate-/r/ |
| 263× | sqr-pow |
| 203× | pow-prod-down |
| 201× | flip-+ |
| 200× | flip3-+ |
| 196× | log-prod |
| 174× | log-pow |
| 140× | distribute-rgt-neg-in |
| 133× | unswap-sqr |
| 120× | clear-num sub-neg frac-2neg |
| 119× | exp-prod |
| 116× | associate-/l/ |
| 107× | *-commutative |
| 89× | 1-exp |
| 79× | diff-log |
| 70× | sqrt-pow1 log-div |
| 60× | pow-unpow |
| 59× | distribute-rgt-in distribute-lft-in |
| 57× | sum-log |
| 52× | rec-exp |
| 51× | cos-mult |
| 49× | pow1/2 |
| 42× | +-commutative div-sub |
| 41× | associate--l+ |
| 39× | sin-mult |
| 37× | unpow3 cube-mult |
| 34× | swap-sqr |
| 33× | frac-sub |
| 32× | rem-sqrt-square rem-log-exp |
| 30× | pow1/3 |
| 29× | tan-quot |
| 26× | sin-cos-mult exp-sum |
| 24× | pow-pow |
| 20× | rem-cube-cbrt associate--r+ |
| 19× | associate-+r+ neg-sub0 |
| 17× | associate-+l+ |
| 16× | distribute-lft-neg-in associate-+l- sin-diff |
| 15× | pow-prod-up cos-diff distribute-frac-neg |
| 14× | distribute-rgt-out |
| 13× | associate--l- pow-sqr neg-log |
| 12× | cos-sum |
| 11× | cube-div |
| 10× | difference-cubes pow-flip acos-asin sub-div |
| 9× | pow-plus |
| 8× | exp-diff inv-pow rem-cbrt-cube pow2 |
| 7× | associate--r- |
| 6× | difference-of-sqr--1 un-div-inv |
| 5× | rem-exp-log associate-+r- sin-sum |
| 4× | acos-neg sub0-neg unpow2 asin-acos neg-mul-1 distribute-rgt-neg-out exp-to-pow |
| 2× | sqrt-pow2 sin-neg distribute-lft1-in sqrt-unprod sum-cubes sqrt-undiv distribute-neg-frac |
| 1× | distribute-lft-neg-out sqr-sin rem-square-sqrt tanh-undef tanh-def |
Total 34.8b remaining (23.3%)
Threshold costs 5.7b (3.8%)
| 7.7b | 43.8% | Quadratic roots, narrow range |
| 7.0b | 0% | Cubic critical, medium range |
| 4.6b | 83.5% | Quadratic roots, full range |
| 4.0b | 71.9% | Equirectangular approximation to distance on a great circle |
| 2.4b | 89.8% | Cubic critical |