| 8× | intervals |
| 2.8m | 10285× | body | 1280 | valid |
| 1.2m | 5785× | body | 640 | valid |
| 15.6s | 19497× | body | 80 | valid |
| 14.8s | 2342× | body | 320 | valid |
| 5.1s | 22423× | pre | 80 | true |
| 3.0s | 1016× | body | 160 | valid |
| 172.0ms | 11× | body | 2560 | valid |
61 calls:
| 5.2s | (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) |
| 2.6s | (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) |
| 2.1s | (* (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))) |
| 1.9s | (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) |
| 1.7s | (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) |
Total 0.7b remaining (6.7%)
Threshold costs 0.7b (6.7%)
| 0.4b | 0% | Spherical law of cosines |
| 0.2b | 0% | Midpoint on a great circle |
| 0.1b | 0% | Trigonometry A |
| 0.1b | 0% | b parameter of renormalized beta distribution |
| 16× | rewrite-expression-head |
61 calls:
| 725.0ms | (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) |
| 567.0ms | (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) |
| 563.0ms | (/ (* e (sin v)) (+ 1.0 (* e (cos v)))) |
| 382.0ms | (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v)))) |
| 329.0ms | (log (exp (* (sin lambda1) (sin (- lambda2))))) |
| 290× | add-sqr-sqrt |
| 242× | *-un-lft-identity |
| 214× | add-cube-cbrt |
| 173× | add-exp-log |
| 171× | add-cbrt-cube |
| 149× | times-frac |
| 135× | pow1 |
| 110× | associate-*r* |
| 89× | associate-*l* |
| 79× | add-log-exp |
| 53× | associate-*r/ |
| 43× | cbrt-unprod prod-exp |
| 38× | flip-- flip3-- |
| 37× | associate-/r* |
| 35× | pow-prod-down |
| 25× | *-commutative |
| 24× | unswap-sqr |
| 23× | sub-neg |
| 22× | distribute-rgt-in distribute-lft-in |
| 19× | associate-/l* cbrt-undiv div-exp |
| 18× | cbrt-div frac-times |
| 15× | div-inv |
| 14× | cos-mult |
| 13× | distribute-lft-out-- difference-of-squares |
| 11× | flip-+ flip3-+ log-pow |
| 10× | associate-/l/ associate-+r+ exp-prod |
| 9× | cos-diff frac-2neg pow1/3 associate-*l/ associate-/r/ clear-num |
| 8× | sin-mult |
| 7× | sqrt-prod cbrt-prod |
| 6× | pow-unpow acos-asin log-prod cos-sum |
| 5× | sin-neg frac-add +-commutative sum-log distribute-rgt-neg-out |
| 4× | unpow-prod-down associate-+l+ exp-neg cube-prod swap-sqr log-div |
| 3× | distribute-rgt-neg-in cube-div rem-cube-cbrt distribute-lft-neg-out distribute-lft-neg-in pow-exp pow-pow diff-log |
| 2× | exp-diff sin-sum sqr-pow pow-prod-up pow-to-exp pow-sqr unpow3 cube-mult sub-div associate--r- frac-sub associate--l+ rem-log-exp |
| 1× | rem-exp-log pow2 unsub-neg distribute-lft-out pow-plus distribute-rgt-out div-sub neg-mul-1 sum-cubes exp-to-pow sin-diff log-rec |