| 78× | intervals |
| 6.0m | 29210× | body | 10240 | exit |
| 34.2s | 43438× | body | 1280 | valid |
| 11.9s | 30721× | body | 640 | valid |
| 7.3s | 204649× | body | 80 | valid |
| 4.9s | 27181× | body | 320 | valid |
| 4.8s | 152821× | body | 80 | nan |
| 3.3s | 180950× | pre | 80 | true |
| 3.2s | 35962× | body | 160 | valid |
| 792.0ms | 3100× | body | 2560 | valid |
| 442.0ms | 14758× | body | 80 | overflowed |
| 391.0ms | 4141× | pre | 10240 | exit |
| 382.0ms | 7935× | body | 160 | nan |
| 98.0ms | 7928× | pre | 80 | false |
| 63.0ms | 205× | body | 5120 | valid |
| 0.0ms | 1× | body | 320 | nan |
506 calls:
| 1.9s | (* (/ 1 (sqrt (+ (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (* 2.0 (+ (pow x 2) x)))) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x)))))) (/ (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)) (sqrt (+ (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (* 2.0 (+ (pow x 2) x)))) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))))))) |
| 1.8s | (/ (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)) (+ (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (* 2.0 (+ (pow x 2) x)))) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))))) |
| 848.0ms | (/ (- (* (cos delta) (cos delta)) (* (sin phi1) (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (+ (cos delta) (* (sin phi1) (sin (- (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 844.0ms | (/ (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (- (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 816.0ms | (/ (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) |
| 144× | rewrite-expression-head |
506 calls:
| 797.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 759.0ms | (* (/ 1 (sqrt (+ (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (* 2.0 (+ (pow x 2) x)))) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x)))))) (/ (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)) (sqrt (+ (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (* 2.0 (+ (pow x 2) x)))) (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))))))) |
| 571.0ms | (* (+ (sqrt (/ m (/ v (- 1.0 m)))) (sqrt 1.0)) (* (- (sqrt (/ m (/ v (- 1.0 m)))) (sqrt 1.0)) m)) |
| 421.0ms | (/ (+ (pow (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) 3) (sqrt (pow 1.0 3))) (sqrt (+ (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0)))) |
| 287.0ms | (* (- (sqrt (/ m (/ v (- 1.0 m)))) (sqrt 1.0)) m) |
| 11587× | times-frac |
| 8729× | add-sqr-sqrt |
| 8344× | *-un-lft-identity |
| 5253× | add-cube-cbrt |
| 3490× | add-exp-log |
| 2938× | associate-*r/ |
| 2104× | add-cbrt-cube |
| 1793× | sqrt-prod |
| 1757× | flip-- |
| 1756× | flip3-- |
| 1614× | frac-times |
| 1532× | difference-of-squares |
| 1443× | associate-*r* |
| 1435× | frac-add |
| 1323× | associate-*l/ |
| 1250× | sqrt-div |
| 1207× | flip-+ distribute-lft-out-- |
| 1206× | flip3-+ |
| 1191× | pow1 |
| 1186× | div-exp |
| 1146× | prod-exp |
| 1044× | associate-/l* |
| 1025× | associate-/r/ |
| 817× | associate-/r* |
| 812× | distribute-rgt-neg-in |
| 808× | unpow-prod-down |
| 801× | add-log-exp |
| 632× | frac-sub |
| 596× | associate-*l* cube-prod |
| 548× | cbrt-undiv |
| 502× | cbrt-unprod |
| 441× | div-inv |
| 369× | pow-exp |
| 344× | cbrt-prod |
| 338× | distribute-lft-neg-in |
| 332× | distribute-lft-out |
| 295× | pow-prod-down |
| 273× | sqr-pow |
| 268× | pow-to-exp |
| 190× | neg-mul-1 |
| 179× | cbrt-div |
| 170× | unswap-sqr |
| 162× | associate-/l/ |
| 150× | log-prod |
| 137× | clear-num frac-2neg |
| 121× | sub-neg |
| 102× | *-commutative |
| 101× | 1-exp |
| 98× | diff-log |
| 88× | rec-exp |
| 83× | div-sub |
| 70× | pow-unpow |
| 64× | swap-sqr |
| 63× | unpow3 cube-mult |
| 62× | sum-log |
| 60× | distribute-rgt-in distribute-lft-in |
| 54× | sin-mult |
| 52× | associate--l+ |
| 49× | pow1/2 sqrt-pow1 |
| 44× | pow1/3 |
| 41× | unpow2 +-commutative cos-mult |
| 40× | rem-sqrt-square |
| 39× | pow-pow |
| 38× | log-div |
| 36× | cube-div |
| 35× | log-pow pow-prod-up |
| 33× | pow-sqr |
| 31× | exp-prod |
| 30× | associate-+r+ neg-sub0 |
| 27× | associate-+l- |
| 23× | rem-cube-cbrt |
| 20× | tan-quot |
| 19× | distribute-rgt-out sin-diff |
| 18× | distribute-frac-neg sum-cubes |
| 17× | associate-+l+ pow-plus |
| 15× | sin-sum neg-log rem-log-exp |
| 14× | associate-+r- cos-diff acos-asin |
| 13× | pow-flip exp-sum |
| 12× | associate--l- pow2 sub-div |
| 11× | difference-cubes tanh-def |
| 10× | cos-sum un-div-inv inv-pow |
| 8× | sin-cos-mult associate--r- associate--r+ |
| 7× | acos-neg rem-exp-log distribute-rgt-neg-out |
| 6× | rem-cbrt-cube distribute-neg-frac |
| 4× | exp-diff sub0-neg |
| 3× | sqrt-pow2 sin-neg sqr-cos |
| 2× | distribute-lft1-in sqrt-unprod unsub-neg asin-acos sqrt-undiv |
| 1× | pow3 distribute-rgt-out-- rem-square-sqrt tanh-undef cube-neg |
| 222× | egg-herbie |
Total 21.6b remaining (19.3%)
Threshold costs 6.8b (6.1%)
| 5.6b | 50.5% | Quotient of products |
| 4.2b | 69.4% | Equirectangular approximation to distance on a great circle |
| 1.4b | 94.1% | Cubic critical |
| 1.3b | 0% | 2-ancestry mixing, positive discriminant |
| 1.2b | 95.1% | Quadratic roots, full range |