| 77× | intervals |
| 4.0m | 30960× | body | 10240 | exit |
| 1.3m | 42265× | body | 1280 | valid |
| 26.5s | 29093× | body | 640 | valid |
| 17.8s | 198711× | body | 80 | valid |
| 14.4s | 152461× | body | 80 | nan |
| 13.0s | 26586× | body | 320 | valid |
| 9.6s | 168178× | pre | 80 | true |
| 8.3s | 36177× | body | 160 | valid |
| 2.3s | 3111× | body | 2560 | valid |
| 968.0ms | 8100× | body | 160 | nan |
| 471.0ms | 4031× | pre | 10240 | exit |
| 237.0ms | 202× | body | 5120 | valid |
| 157.0ms | 8350× | pre | 80 | false |
| 1.0ms | 1× | body | 640 | nan |
482 calls:
| 1.2s | (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) |
| 1.2s | (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) |
| 793.0ms | (/ (* (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))) |
| 748.0ms | (- (* (cos delta) (cos delta)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 2))) |
| 686.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 143× | rewrite-expression-head |
482 calls:
| 6.8s | (/ (- (* (* x (* (* (cbrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (cbrt (- 1.0 x))) (- (pow x 3) (pow 1.0 3)))) (cbrt (- 1.0 x))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (* (+ x 1.0) (* (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (- (* 1.0 1.0) (* x x))))))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (cbrt (- 1.0 x)))) |
| 3.2s | (- (* (* x (* (* (cbrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (cbrt (- 1.0 x))) (- (pow x 3) (pow 1.0 3)))) (cbrt (- 1.0 x))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (* (+ x 1.0) (* (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (- (* 1.0 1.0) (* x x))))))) |
| 1.1s | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 925.0ms | (* R (sqrt (+ (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))) |
| 723.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 183138× | frac-times |
| 178920× | cbrt-div |
| 97368× | associate-*r/ |
| 86905× | associate-*l/ |
| 83787× | flip-- |
| 83786× | flip3-- |
| 54969× | flip-+ |
| 54968× | flip3-+ |
| 40834× | frac-sub |
| 19463× | associate-/l/ |
| 7811× | times-frac |
| 6612× | add-sqr-sqrt |
| 6579× | *-un-lft-identity |
| 6130× | sqrt-div |
| 5995× | frac-add |
| 4337× | add-cube-cbrt |
| 3242× | add-exp-log |
| 1920× | add-cbrt-cube |
| 1641× | sqrt-prod |
| 1085× | prod-exp |
| 1055× | div-exp |
| 1051× | pow1 |
| 1013× | associate-*r* |
| 813× | associate-/l* |
| 809× | difference-of-squares |
| 751× | add-log-exp |
| 682× | cbrt-prod |
| 654× | associate-/r* |
| 619× | unpow-prod-down |
| 597× | associate-*l* |
| 569× | distribute-lft-out-- |
| 506× | distribute-lft-out |
| 476× | cbrt-undiv |
| 469× | cbrt-unprod |
| 445× | cube-prod |
| 412× | div-inv |
| 369× | pow-exp |
| 332× | associate-/r/ |
| 275× | unswap-sqr |
| 272× | log-prod |
| 269× | pow-to-exp |
| 250× | swap-sqr |
| 245× | sqr-pow |
| 217× | pow-prod-down |
| 186× | distribute-rgt-neg-in |
| 127× | clear-num frac-2neg |
| 109× | *-commutative |
| 96× | sub-neg |
| 92× | 1-exp rec-exp |
| 86× | diff-log |
| 75× | log-pow |
| 68× | pow1/2 sqrt-pow1 |
| 67× | unpow3 cube-mult |
| 56× | exp-prod sum-log |
| 51× | pow-unpow |
| 47× | div-sub |
| 45× | distribute-rgt-in pow-flip distribute-lft-in |
| 44× | pow1/3 |
| 35× | pow-prod-up unpow2 |
| 34× | rem-sqrt-square |
| 33× | +-commutative |
| 29× | pow-sqr |
| 27× | log-div |
| 24× | neg-sub0 tan-quot |
| 22× | pow-pow |
| 20× | associate--l- |
| 19× | inv-pow associate--l+ |
| 18× | pow-plus distribute-rgt-out neg-log rem-log-exp sin-diff |
| 17× | cos-diff |
| 16× | pow2 sin-mult |
| 15× | rem-cube-cbrt difference-cubes |
| 14× | acos-asin associate-+l- |
| 13× | sin-cos-mult associate-+r- |
| 12× | cube-div cos-sum |
| 10× | un-div-inv |
| 9× | associate-+r+ |
| 8× | sqrt-unprod |
| 7× | cos-mult |
| 6× | acos-neg distribute-frac-neg |
| 5× | sqrt-undiv sin-sum asin-acos |
| 4× | distribute-lft-neg-out distribute-rgt-neg-out tanh-def |
| 3× | distribute-lft-neg-in exp-to-pow |
| 2× | exp-diff sum-cubes rem-exp-log distribute-lft1-in unsub-neg rem-square-sqrt sub-div sqr-cos rem-cbrt-cube |
| 1× | sin-neg distribute-rgt-out-- sqr-sin associate-+l+ tanh-undef neg-mul-1 associate--r- associate--r+ |
Total 41.0b remaining (27.3%)
Threshold costs 6.7b (4.5%)
| 7.6b | 45.4% | Quadratic roots, narrow range |
| 7.5b | 45.5% | Cubic critical, narrow range |
| 4.9b | 56.7% | Quotient of products |
| 4.7b | 68.4% | Equirectangular approximation to distance on a great circle |
| 3.1b | 88.7% | Quadratic roots, full range |