| 77× | intervals |
| 1.3m | 43893× | body | 1280 | valid |
| 45.8s | 16582× | body | 10240 | exit |
| 27.5s | 30581× | body | 640 | valid |
| 19.2s | 202585× | body | 80 | valid |
| 14.5s | 151622× | body | 80 | nan |
| 12.2s | 27577× | body | 320 | valid |
| 8.3s | 35869× | body | 160 | valid |
| 6.2s | 152511× | pre | 80 | true |
| 1.5s | 2963× | body | 2560 | valid |
| 1.2s | 7748× | body | 160 | nan |
| 472.0ms | 4146× | pre | 10240 | exit |
| 178.0ms | 210× | body | 5120 | valid |
418 calls:
| 1.5s | (- (- (* (cos delta) (* (cos delta) (cos delta))) (fma (* (sin phi1) (* (sin phi1) (sin phi1))) (* (* (* (sin delta) (* (sin delta) (sin delta))) (* (cos theta) (* (cos theta) (cos theta)))) (* (* (cos phi1) (cos phi1)) (cos phi1))) (* (* (* (* (cos phi1) (* (sin delta) (* (cos delta) (cos delta)))) (cos theta)) (pow (sin phi1) 5)) 2))) (+ (fma 2 (* (* (* (* (* (sin phi1) (sin phi1)) (* (sin phi1) (sin phi1))) (* (cos phi1) (cos phi1))) (* (cos delta) (* (sin delta) (sin delta)))) (* (cos theta) (cos theta))) (* (* (* (* (* (sin phi1) (sin phi1)) (* (sin phi1) (sin phi1))) (* (cos phi1) (cos phi1))) (* (cos delta) (* (sin delta) (sin delta)))) (* (cos theta) (cos theta)))) (fma (* (pow (sin phi1) 5) (sin delta)) (* (cos theta) (* (cos phi1) (* (cos delta) (cos delta)))) (* (* (cos delta) (* (cos delta) (cos delta))) (* (* (sin phi1) (* (sin phi1) (sin phi1))) (* (sin phi1) (* (sin phi1) (sin phi1)))))))) |
| 1.1s | (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))) 3)) |
| 921.0ms | (hypot (* (cos (* 0.5 (+ phi1 phi2))) (- lambda1 lambda2)) (- phi1 phi2)) |
| 903.0ms | (hypot (* (cos (/ (+ phi1 phi2) 2.0)) (- lambda1 lambda2)) (- phi1 phi2)) |
| 750.0ms | (cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h)))))) |
Total 55.9b remaining (31.8%)
Threshold costs 4.2b (2.4%)
| 7.4b | 47% | Quadratic roots, narrow range |
| 6.8b | 50.8% | Cubic critical, narrow range |
| 6.6b | 11.3% | Quadratic roots, medium range |
| 6.2b | 43.6% | Quotient of products |
| 5.0b | 32.3% | Cubic critical, medium range |
| 138× | rewrite-expression-head |
418 calls:
| 484.0ms | (- (- (/ 0.125 (* (* x x) x)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) |
| 338.0ms | (- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0) |
| 331.0ms | (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)) |
| 317.0ms | (* (fma 1 1.0 (- (* (sqrt m) (sqrt m)))) (- (/ m (/ v (- 1.0 m))) 1.0)) |
| 261.0ms | (* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) m) |
| 7648× | *-un-lft-identity |
| 7045× | times-frac |
| 6831× | add-sqr-sqrt |
| 5348× | add-cube-cbrt |
| 3264× | prod-diff |
| 1965× | add-exp-log |
| 1688× | add-cbrt-cube |
| 1419× | pow1 |
| 1304× | sqrt-prod |
| 685× | distribute-lft-out |
| 624× | prod-exp |
| 594× | add-log-exp |
| 581× | difference-of-squares |
| 515× | cbrt-unprod |
| 467× | distribute-lft-out-- |
| 450× | associate-/r* |
| 448× | fma-neg |
| 446× | distribute-rgt-in distribute-lft-in associate-*r* |
| 445× | div-inv |
| 432× | div-exp |
| 424× | expm1-log1p-u |
| 418× | log1p-expm1-u |
| 407× | associate-*l* |
| 403× | associate-/r/ |
| 398× | associate--l+ |
| 339× | cbrt-undiv |
| 305× | pow-prod-down |
| 303× | associate-/l* |
| 286× | log-prod |
| 221× | flip-- |
| 220× | flip3-- |
| 185× | cbrt-prod pow-prod-up |
| 157× | flip-+ |
| 156× | flip3-+ |
| 155× | fma-def |
| 142× | sqrt-div |
| 124× | unswap-sqr |
| 123× | unpow-prod-down |
| 108× | pow-plus pow-sqr |
| 103× | associate-*r/ |
| 101× | *-commutative |
| 100× | frac-2neg clear-num |
| 94× | swap-sqr |
| 79× | sub-neg |
| 67× | distribute-rgt-neg-in |
| 66× | pow2 |
| 61× | frac-times sqrt-pow1 pow1/2 |
| 59× | sqr-pow diff-log |
| 57× | associate-*l/ |
| 53× | cos-sum |
| 52× | associate-/l/ |
| 50× | distribute-lft-neg-in |
| 49× | cube-prod |
| 44× | sin-mult |
| 40× | 1-exp |
| 38× | cbrt-div div-sub |
| 37× | log-pow |
| 35× | rec-exp rem-sqrt-square |
| 33× | sin-sum |
| 32× | sum-log |
| 31× | log-div |
| 29× | rem-log-exp |
| 28× | fma-udef |
| 27× | unpow3 cube-mult |
| 25× | pow1/3 |
| 23× | frac-sub |
| 22× | +-commutative tan-quot |
| 17× | sin-diff |
| 16× | exp-prod |
| 15× | pow-unpow |
| 13× | frac-add |
| 11× | pow-flip |
| 10× | neg-sub0 sin-cos-mult neg-mul-1 |
| 9× | associate-+l- acos-asin |
| 8× | pow-exp pow3 cos-diff |
| 7× | associate--l- neg-log pow-pow inv-pow |
| 6× | exp-sum log1p-expm1 log1p-udef pow-to-exp distribute-rgt-out |
| 5× | distribute-lft1-in rem-cube-cbrt distribute-rgt-out-- acos-neg distribute-frac-neg cube-div rem-cbrt-cube |
| 4× | cos-mult sqrt-unprod un-div-inv |
| 3× | associate-+l+ expm1-log1p expm1-udef associate--r+ distribute-neg-frac hypot-udef rem-square-sqrt |
| 2× | exp-to-pow rem-exp-log sub-div hypot-def sqr-cos |
| 1× | exp-diff difference-cubes cube-unmult tanh-undef tanh-def asin-acos |