| 78× | intervals |
| 2.8m | 26306× | body | 10240 | exit |
| 1.3m | 44062× | body | 1280 | valid |
| 30.6s | 30590× | body | 640 | valid |
| 20.7s | 202821× | body | 80 | valid |
| 13.5s | 151501× | body | 80 | nan |
| 12.5s | 27500× | body | 320 | valid |
| 8.3s | 36204× | body | 160 | valid |
| 8.2s | 163295× | pre | 80 | true |
| 2.5s | 3073× | body | 2560 | valid |
| 930.0ms | 7916× | body | 160 | nan |
| 436.0ms | 4177× | pre | 10240 | exit |
| 170.0ms | 231× | body | 5120 | valid |
| 3.0ms | 2× | body | 640 | nan |
459 calls:
| 1.5s | (expm1 (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))) |
| 1.3s | (/ (- (* (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)))))))) |
| 969.0ms | (hypot (* (cos (* 0.5 (+ phi1 phi2))) (- lambda1 lambda2)) (- phi1 phi2)) |
| 937.0ms | (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) |
| 876.0ms | (/ (* (* (sin 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)))) |
Total 55.2b remaining (33%)
Threshold costs 5.3b (3.1%)
| 7.8b | 42.5% | Quadratic roots, narrow range |
| 7.7b | 42.6% | Cubic critical, narrow range |
| 6.8b | 0% | Quadratic roots, medium range |
| 6.7b | 0% | Cubic critical, medium range |
| 4.2b | 87.6% | Cubic critical |
| 146× | rewrite-expression-head |
459 calls:
| 1.1s | (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 1.0s | (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 443.0ms | (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) |
| 410.0ms | (* m (- 1.0 m)) |
| 402.0ms | (* (- (* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))) 1.0) m) |
| 9086× | times-frac |
| 9037× | *-un-lft-identity |
| 8215× | add-sqr-sqrt |
| 6317× | add-cube-cbrt |
| 2808× | prod-diff |
| 2658× | add-exp-log |
| 2399× | sqrt-prod |
| 1744× | add-cbrt-cube |
| 1337× | pow1 |
| 859× | distribute-lft-out |
| 851× | div-exp |
| 817× | prod-exp |
| 788× | associate-*l* |
| 715× | difference-of-squares |
| 639× | associate-*r* |
| 611× | add-log-exp |
| 607× | associate-/l* |
| 566× | associate-/r* |
| 545× | fma-neg |
| 544× | div-inv |
| 513× | distribute-lft-out-- |
| 504× | associate-/r/ |
| 463× | log1p-expm1-u |
| 460× | expm1-log1p-u |
| 419× | cbrt-undiv cbrt-unprod |
| 366× | cbrt-prod |
| 301× | associate-*r/ |
| 279× | flip-- |
| 278× | flip3-- |
| 275× | associate-*l/ |
| 268× | pow-prod-down |
| 266× | pow-exp |
| 258× | frac-times |
| 236× | log-prod |
| 225× | sqrt-div |
| 221× | sin-mult |
| 217× | flip-+ |
| 216× | flip3-+ |
| 199× | unswap-sqr |
| 192× | pow3 |
| 186× | pow-to-exp |
| 182× | distribute-rgt-in distribute-lft-in |
| 153× | log-pow |
| 130× | cos-mult |
| 122× | frac-2neg clear-num |
| 120× | unpow-prod-down |
| 116× | swap-sqr |
| 115× | *-commutative associate-/l/ |
| 114× | pow-prod-up |
| 100× | cbrt-div sub-neg |
| 95× | difference-cubes |
| 90× | distribute-rgt-neg-in distribute-lft-neg-in |
| 77× | frac-sub |
| 75× | associate--l+ |
| 69× | sqrt-pow1 |
| 67× | pow1/2 diff-log |
| 66× | 1-exp rec-exp |
| 63× | pow-plus |
| 61× | pow-sqr |
| 60× | cos-sum |
| 46× | log-div |
| 44× | exp-sum div-sub |
| 43× | sin-cos-mult exp-prod |
| 41× | pow2 |
| 34× | fma-def |
| 33× | sub-div |
| 32× | pow1/3 tan-quot |
| 31× | fma-udef rem-log-exp |
| 30× | pow-flip sqr-pow associate--r+ neg-mul-1 |
| 29× | rem-sqrt-square |
| 23× | distribute-rgt-out |
| 22× | sin-sum |
| 18× | sin-diff |
| 16× | inv-pow |
| 15× | sum-log cube-unmult |
| 14× | hypot-def |
| 12× | +-commutative |
| 11× | cos-diff |
| 9× | acos-asin |
| 7× | exp-diff associate--l- frac-add |
| 6× | pow-unpow rem-exp-log |
| 5× | expm1-log1p expm1-udef associate--r- |
| 4× | distribute-lft1-in distribute-rgt1-in cube-prod distribute-frac-neg sqr-sin |
| 3× | associate-+l+ associate-+r+ log1p-expm1 log1p-udef un-div-inv rem-cbrt-cube |
| 2× | neg-sub0 associate-+r- pow-pow hypot-udef asin-acos associate-+l- sqr-cos count-2 |
| 1× | distribute-rgt-neg-out sqrt-unprod tanh-def tanh-undef sum-cubes acos-neg |