| 78× | intervals |
| 1.8m | 21813× | body | 10240 | exit |
| 48.3s | 43791× | body | 1280 | valid |
| 15.9s | 30950× | body | 640 | valid |
| 8.8s | 202364× | body | 80 | valid |
| 6.3s | 27541× | body | 320 | valid |
| 5.8s | 152714× | body | 80 | nan |
| 4.0s | 36011× | body | 160 | valid |
| 2.8s | 158232× | pre | 80 | true |
| 888.0ms | 3079× | body | 2560 | valid |
| 487.0ms | 4136× | pre | 10240 | exit |
| 430.0ms | 7993× | body | 160 | nan |
| 98.0ms | 8099× | pre | 80 | false |
| 80.0ms | 230× | body | 5120 | valid |
| 3.0ms | 2× | body | 640 | nan |
| 2.0ms | 2× | body | 320 | nan |
498 calls:
| 1.1s | (pow (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) 3) |
| 969.0ms | (pow (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt 1/3) (cbrt 1/3))) |
| 854.0ms | (pow (pow (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3)) |
| 784.0ms | (/ (cbrt (+ (pow (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0)))))) |
| 663.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 143× | rewrite-expression-head |
498 calls:
| 752.0ms | (/ (cbrt (+ (pow (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0)))))) |
| 742.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 500.0ms | (* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m)))) (- (sqrt 1.0) (sqrt m))) |
| 433.0ms | (/ (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3)) (+ (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0))) |
| 391.0ms | (* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a))) |
| 6114× | times-frac |
| 6006× | *-un-lft-identity |
| 5570× | add-sqr-sqrt |
| 3641× | add-cube-cbrt |
| 2983× | add-exp-log |
| 1776× | add-cbrt-cube |
| 1188× | pow1 |
| 1053× | sqrt-prod |
| 1049× | prod-exp |
| 1037× | associate-*r* |
| 876× | associate-*l/ |
| 862× | div-exp |
| 849× | flip-- |
| 848× | flip3-- |
| 792× | add-log-exp |
| 773× | difference-of-squares |
| 696× | associate-/l* |
| 689× | frac-times |
| 684× | unpow-prod-down |
| 638× | associate-/r* |
| 614× | distribute-lft-out-- |
| 534× | distribute-lft-out |
| 443× | cbrt-unprod cube-prod |
| 433× | cbrt-prod |
| 427× | frac-add |
| 412× | associate-*l* |
| 404× | cbrt-div |
| 397× | associate-*r/ |
| 384× | pow-exp |
| 371× | cbrt-undiv |
| 354× | associate-/r/ |
| 330× | flip-+ div-inv |
| 329× | flip3-+ |
| 308× | pow-prod-down |
| 300× | sqrt-div |
| 279× | pow-to-exp |
| 275× | distribute-rgt-neg-in |
| 233× | sqr-pow |
| 182× | log-prod |
| 179× | unswap-sqr |
| 133× | associate-/l/ |
| 125× | clear-num frac-2neg |
| 110× | swap-sqr |
| 109× | *-commutative |
| 100× | sub-neg |
| 87× | diff-log |
| 74× | 1-exp rec-exp |
| 73× | distribute-lft-neg-in |
| 70× | div-sub |
| 69× | sum-log |
| 62× | pow1/3 |
| 61× | frac-sub |
| 60× | unpow3 cube-mult |
| 52× | pow-unpow |
| 50× | log-pow unpow2 |
| 42× | +-commutative |
| 40× | log-div |
| 39× | pow1/2 neg-mul-1 sqrt-pow1 |
| 38× | neg-sub0 |
| 37× | associate-+l- |
| 36× | exp-prod |
| 34× | pow-prod-up |
| 32× | distribute-rgt-in pow-sqr distribute-lft-in |
| 30× | un-div-inv |
| 29× | rem-sqrt-square |
| 27× | sin-mult |
| 25× | neg-log |
| 22× | pow-pow |
| 20× | pow-flip rem-log-exp |
| 19× | cube-div |
| 18× | tan-quot sin-diff |
| 17× | cos-diff pow-plus |
| 16× | distribute-rgt-out associate--l+ associate--r+ |
| 14× | associate--l- sum-cubes |
| 13× | rem-cube-cbrt pow2 acos-asin |
| 12× | cos-sum |
| 11× | sin-cos-mult inv-pow distribute-frac-neg associate-+r- |
| 9× | cos-mult |
| 8× | difference-cubes associate-+r+ associate--r- |
| 7× | acos-neg asin-acos |
| 5× | rem-exp-log sin-sum exp-sum rem-cbrt-cube |
| 3× | exp-diff associate-+l+ distribute-rgt-neg-out |
| 2× | distribute-lft1-in sub-div |
| 1× | distribute-neg-out sin-neg unpow1/3 sqrt-unprod unsub-neg rem-square-sqrt tanh-undef sqr-cos cube-neg exp-to-pow tanh-def |
Total 26.6b remaining (20.7%)
Threshold costs 7.1b (5.5%)
| 6.9b | 40.2% | Quotient of products |
| 3.8b | 72.6% | Equirectangular approximation to distance on a great circle |
| 3.2b | 89% | Quadratic roots, full range |
| 3.2b | 89.1% | Cubic critical |
| 1.3b | 0% | 2-ancestry mixing, positive discriminant |
| 221× | egg-herbie |