| 77× | intervals |
| 1.6m | 42973× | body | 1280 | valid |
| 42.1s | 31301× | body | 640 | valid |
| 26.5s | 201437× | body | 80 | valid |
| 24.4s | 14854× | body | 10240 | exit |
| 20.0s | 152623× | body | 80 | nan |
| 18.5s | 27952× | body | 320 | valid |
| 13.2s | 36233× | body | 160 | valid |
| 8.6s | 150526× | pre | 80 | true |
| 2.4s | 2949× | body | 2560 | valid |
| 1.3s | 8027× | body | 160 | nan |
| 1.1s | 4101× | pre | 10240 | exit |
| 319.0ms | 192× | body | 5120 | valid |
| 3.0ms | 1× | body | 640 | nan |
| 1.0ms | 1× | body | 320 | nan |
432 calls:
| 22.1s | (* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R) |
| 1.5s | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 1.2s | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
| 1.0s | (/ (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) (+ (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) |
| 989.0ms | (/ (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) |
Total 54.2b remaining (21%)
Threshold costs 4.4b (1.7%)
| 7.8b | 43.1% | Cubic critical, narrow range |
| 7.6b | 44.2% | Quadratic roots, narrow range |
| 6.3b | 6.2% | Quadratic roots, medium range |
| 4.8b | 52.2% | Quotient of products |
| 4.3b | 84.2% | Quadratic roots, full range |
| 138× | rewrite-expression-head |
432 calls:
| 997.0ms | (cbrt (* (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))) |
| 736.0ms | (/ (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) (+ (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) |
| 699.0ms | (- (* (cos delta) (cos delta)) (cbrt (* (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (* (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) |
| 418.0ms | (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) |
| 301.0ms | (/ (+ (* (* (* a c) -3) (sqrt (fma (* a c) -3 (* b b)))) (- (* (* b b) (sqrt (fma (* a c) -3 (* b b)))) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (* b b) (fma (* a c) -3 (* b b))))) |
| 5891× | *-un-lft-identity |
| 5377× | add-sqr-sqrt |
| 4490× | times-frac |
| 3615× | add-cube-cbrt |
| 1951× | prod-diff |
| 1490× | add-exp-log |
| 1326× | add-cbrt-cube |
| 1324× | pow1 |
| 778× | difference-of-squares |
| 654× | sqrt-prod |
| 648× | frac-times |
| 644× | sin-mult |
| 610× | distribute-lft-out |
| 584× | add-log-exp |
| 516× | associate-*r* |
| 451× | cbrt-prod |
| 435× | expm1-log1p-u |
| 433× | log1p-expm1-u |
| 432× | insert-posit16 |
| 421× | associate-*l* |
| 416× | associate-*l/ |
| 403× | distribute-lft-out-- |
| 395× | prod-exp |
| 388× | associate-/r/ |
| 355× | cbrt-unprod |
| 351× | div-inv |
| 346× | associate-/l* |
| 333× | associate-/r* |
| 298× | pow-prod-down |
| 296× | associate-*r/ |
| 295× | cbrt-div |
| 275× | div-exp |
| 231× | fma-neg |
| 228× | cbrt-undiv |
| 199× | fma-def |
| 188× | flip-+ |
| 187× | flip3-+ |
| 185× | flip-- |
| 184× | flip3-- difference-of-sqr-1 |
| 180× | cos-mult |
| 143× | frac-sub |
| 140× | unswap-sqr |
| 134× | log-prod |
| 130× | associate-/l/ |
| 126× | pow-prod-up |
| 103× | *-commutative |
| 100× | distribute-rgt-in distribute-lft-in |
| 99× | tanh-def |
| 88× | frac-2neg clear-num |
| 87× | swap-sqr |
| 81× | pow-plus |
| 74× | pow-sqr |
| 71× | fma-udef |
| 64× | tan-quot |
| 61× | sub-neg |
| 52× | cos-sum |
| 50× | frac-add |
| 49× | sqrt-pow1 pow2 |
| 46× | diff-log |
| 43× | pow1/2 |
| 42× | pow1/3 |
| 41× | div-sub |
| 38× | rem-sqrt-square |
| 34× | sum-log |
| 33× | sin-sum |
| 32× | associate-+r+ |
| 27× | cube-unmult |
| 26× | 1-exp unpow-prod-down |
| 25× | associate-+l+ |
| 24× | pow-flip sqrt-div |
| 23× | +-commutative |
| 22× | distribute-rgt-neg-in |
| 19× | distribute-lft-neg-in |
| 18× | distribute-neg-frac cos-diff log-div |
| 16× | rec-exp |
| 15× | associate--l+ log-pow |
| 13× | expm1-def |
| 12× | pow-pow inv-pow distribute-rgt-out |
| 11× | difference-cubes pow3 sin-diff |
| 10× | sqr-pow |
| 9× | sin-cos-mult sub-div exp-prod |
| 8× | rem-log-exp |
| 6× | neg-mul-1 acos-asin |
| 5× | pow-exp associate-+r- distribute-rgt-out-- associate-+l- rem-cbrt-cube log1p-udef |
| 4× | neg-sub0 distribute-rgt-neg-out log1p-expm1 neg-log |
| 3× | expm1-log1p expm1-udef distribute-frac-neg pow-unpow asin-acos pow-to-exp acos-neg sqr-cos |
| 2× | distribute-rgt1-in un-div-inv hypot-udef rem-exp-log log1p-def |
| 1× | associate--l- sqrt-undiv exp-sum associate--r+ unpow1/3 tanh-undef unsub-neg associate--r- |