| 72× | intervals |
| 7.6m | 80199× | body | 10240 | exit |
| 53.7s | 33308× | body | 1280 | valid |
| 25.1s | 197506× | body | 80 | valid |
| 22.0s | 24182× | body | 640 | valid |
| 20.0s | 151768× | body | 80 | nan |
| 13.7s | 25099× | body | 320 | valid |
| 12.4s | 35307× | body | 160 | valid |
| 9.3s | 153484× | pre | 80 | true |
| 3.3s | 3105× | body | 2560 | valid |
| 1.9s | 7981× | body | 160 | nan |
| 1.0s | 4125× | pre | 10240 | exit |
| 277.0ms | 238× | body | 5120 | valid |
394 calls:
| 719.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (* 1/2 t) (log 1/2)))) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 601.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 577.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 572.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 551.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 125× | rewrite-expression-head |
394 calls:
| 6.1s | (* (/ (/ (cbrt a2) (cbrt (/ b2 (cbrt a2)))) (cbrt (/ b2 (cbrt a2)))) (/ (/ a1 (/ b1 (cbrt a2))) (cbrt (/ b2 (cbrt a2))))) |
| 516.0ms | (/ (- (* (* (/ x (+ 1 x)) (* x (/ x (+ 1 x)))) (- x 1)) (* (+ 1 x) (* (+ 1 x) (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1)))))) (* (+ (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1))) (* (/ x (+ 1 x)) (+ (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))))) (* (+ 1 x) (- x 1)))) |
| 427.0ms | (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) |
| 413.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 396.0ms | (/ (- (* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x)))) (* (/ (+ 1 x) (- x 1)) (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1))))) (+ (* (/ (+ 1 x) (- x 1)) (/ (+ 1 x) (- x 1))) (* (/ x (+ 1 x)) (+ (/ x (+ 1 x)) (/ (+ 1 x) (- x 1)))))) |
| 31103× | times-frac |
| 18047× | add-sqr-sqrt |
| 17021× | cbrt-prod |
| 13676× | *-un-lft-identity |
| 12616× | add-cube-cbrt |
| 7952× | add-exp-log |
| 6262× | add-cbrt-cube |
| 4292× | associate-*l* |
| 3764× | frac-times |
| 3757× | prod-exp |
| 2885× | div-exp |
| 2870× | cbrt-unprod |
| 2497× | associate-*r/ |
| 2329× | associate-*r* |
| 2248× | associate-*l/ |
| 2089× | cbrt-undiv |
| 1611× | pow1 |
| 1375× | flip-- |
| 1374× | flip3-- |
| 1161× | frac-add |
| 1074× | div-inv |
| 969× | flip-+ |
| 968× | flip3-+ |
| 901× | frac-sub |
| 792× | pow-exp |
| 745× | unswap-sqr |
| 638× | associate-/r* |
| 626× | sqrt-div |
| 599× | add-log-exp |
| 520× | associate-/l/ |
| 471× | associate-/r/ |
| 410× | associate-/l* |
| 405× | pow-prod-down pow-to-exp |
| 394× | insert-posit16 |
| 365× | cos-mult |
| 342× | difference-of-squares |
| 317× | sqrt-prod |
| 301× | distribute-lft-out |
| 278× | cbrt-div |
| 216× | pow-prod-up |
| 213× | distribute-rgt-neg-in |
| 204× | distribute-lft-neg-in |
| 178× | distribute-lft-out-- |
| 167× | 1-exp rec-exp |
| 132× | pow-sqr |
| 128× | log-prod |
| 121× | pow-plus |
| 109× | swap-sqr |
| 104× | frac-2neg clear-num |
| 103× | *-commutative |
| 100× | tan-quot |
| 92× | sub-neg |
| 81× | pow2 |
| 74× | unpow-prod-down |
| 72× | diff-log |
| 68× | neg-mul-1 |
| 42× | sqrt-pow1 pow1/2 |
| 41× | difference-of-sqr--1 |
| 40× | rem-sqrt-square |
| 37× | sum-log |
| 36× | log-div |
| 34× | distribute-rgt-in distribute-lft-in |
| 31× | pow1/3 |
| 27× | div-sub log-pow |
| 25× | +-commutative |
| 17× | distribute-rgt-out |
| 15× | exp-prod |
| 14× | difference-of-sqr-1 acos-asin rem-log-exp |
| 13× | associate-+r+ cube-unmult sqr-pow |
| 12× | cos-diff |
| 11× | cos-sum |
| 10× | associate--l+ associate-+l- |
| 9× | pow-unpow pow-pow |
| 8× | associate--r+ |
| 7× | pow-flip associate-+l+ associate--l- inv-pow associate--r- |
| 6× | sin-mult distribute-rgt1-in |
| 5× | difference-cubes |
| 4× | neg-sub0 distribute-frac-neg exp-sum pow3 neg-log distribute-lft-neg-out un-div-inv |
| 3× | exp-diff associate-+r- rem-exp-log acos-neg |
| 2× | remove-posit16 sin-sum distribute-rgt-out-- distribute-neg-frac asin-acos |
| 1× | unsub-neg sin-cos-mult distribute-rgt-neg-out tanh-undef tanh-def sqr-cos sin-diff |
Total 61.1b remaining (33.1%)
Threshold costs 4.0b (2.2%)
| 8.6b | 35.9% | Equirectangular approximation to distance on a great circle |
| 7.6b | 42.8% | Cubic critical, narrow range |
| 7.3b | 45.7% | Quadratic roots, narrow range |
| 6.4b | 4.2% | Cubic critical, medium range |
| 6.2b | 11.3% | Quadratic roots, medium range |