| 10× | intervals |
| 2.8m | 10285× | body | 1280 | valid |
| 1.2m | 5785× | body | 640 | valid |
| 19.5s | 6074× | body | 160 | valid |
| 18.6s | 21293× | body | 80 | valid |
| 15.6s | 3744× | body | 320 | valid |
| 9.0s | 8707× | body | 80 | nan |
| 8.6s | 39386× | pre | 80 | true |
| 172.0ms | 11× | body | 2560 | valid |
77 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))) |
| 20× | rewrite-expression-head |
77 calls:
| 1.1s | (/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (/ (- (pow b 4) (* (* (* a c) 4.0) (* (* a c) 4.0))) (+ (* b b) (* (* a c) 4.0)))))) (* 2.0 a)) |
| 725.0ms | (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) |
| 652.0ms | (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (/ (- (pow b 4) (* (* (* a c) 4.0) (* (* a c) 4.0))) (+ (* b b) (* (* a c) 4.0)))))) |
| 567.0ms | (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) |
| 563.0ms | (/ (* e (sin v)) (+ 1.0 (* e (cos v)))) |
| 1093× | times-frac |
| 771× | add-sqr-sqrt |
| 696× | *-un-lft-identity |
| 586× | add-exp-log |
| 496× | add-cube-cbrt |
| 392× | add-cbrt-cube |
| 266× | pow1 |
| 250× | div-exp |
| 158× | prod-exp |
| 115× | difference-of-squares |
| 111× | add-log-exp associate-*r* |
| 108× | associate-/l* cbrt-unprod cbrt-undiv |
| 101× | pow-prod-down |
| 96× | associate-/r* |
| 93× | distribute-lft-out-- |
| 90× | associate-*l* |
| 77× | div-inv |
| 73× | associate-/r/ |
| 67× | flip3-- flip-- |
| 60× | sqrt-prod |
| 53× | associate-*r/ |
| 46× | distribute-rgt-neg-in |
| 45× | 1-exp |
| 27× | sub-neg |
| 26× | *-commutative |
| 24× | unswap-sqr |
| 22× | distribute-rgt-in distribute-lft-in |
| 21× | associate-/l/ |
| 18× | cbrt-div clear-num rec-exp frac-times frac-2neg |
| 16× | flip-+ flip3-+ |
| 14× | cos-mult |
| 11× | pow-prod-up pow-sqr log-pow |
| 10× | associate-+r+ exp-prod |
| 9× | cos-diff pow1/3 associate-*l/ diff-log |
| 8× | unpow-prod-down sin-mult |
| 7× | distribute-lft-out sum-log cbrt-prod |
| 6× | pow-unpow sqr-pow +-commutative acos-asin log-prod cos-sum |
| 5× | sin-neg frac-add swap-sqr distribute-rgt-neg-out |
| 4× | exp-neg associate-+l+ pow-plus cube-prod neg-sub0 log-div |
| 3× | cube-div rem-cube-cbrt distribute-lft-neg-in distribute-lft-neg-out neg-log pow-exp div-sub pow-pow |
| 2× | exp-diff unpow3 sqrt-div associate--l- sin-sum pow-to-exp pow2 cube-mult sub-div associate--r- frac-sub associate-+l- associate--l+ rem-log-exp |
| 1× | pow1/2 rem-sqrt-square rem-exp-log unsub-neg distribute-rgt-out neg-mul-1 sum-cubes exp-to-pow sqrt-pow1 sin-diff log-rec |
Total 1.1b remaining (6.7%)
Threshold costs 1.1b (6.7%)
| 0.4b | 0% | Quadratic roots, medium range |
| 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 |