| 78× | intervals |
| 9.4m | 60184× | body | 10240 | exit |
| 33.9s | 44545× | body | 1280 | valid |
| 10.8s | 30277× | body | 640 | valid |
| 6.8s | 205268× | body | 80 | valid |
| 4.7s | 153935× | body | 80 | nan |
| 4.3s | 27365× | body | 320 | valid |
| 3.1s | 200064× | pre | 80 | true |
| 2.9s | 36157× | body | 160 | valid |
| 738.0ms | 3201× | body | 2560 | valid |
| 356.0ms | 7860× | body | 160 | nan |
| 326.0ms | 4050× | pre | 10240 | exit |
| 136.0ms | 227× | body | 5120 | valid |
| 82.0ms | 8235× | pre | 80 | false |
505 calls:
| 887.0ms | (pow (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) 3) |
| 690.0ms | (/ (* (* (sin phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) |
| 643.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (log (exp (* c_p (+ (log 0.5) (* 0.5 t))))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 639.0ms | (/ (* (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))) |
| 635.0ms | (/ (+ (pow (cos phi1) 3) (pow (* (* (cos lambda1) (cos lambda2)) (cos phi2)) 3)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (cos phi2)) (cos phi1))) (* (cos phi1) (cos phi1)))) |
| 146× | rewrite-expression-head |
505 calls:
| 837.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 834.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 832.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 677.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 493.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 6550× | times-frac |
| 6474× | *-un-lft-identity |
| 5919× | add-sqr-sqrt |
| 3826× | add-cube-cbrt |
| 3618× | add-exp-log |
| 2084× | add-cbrt-cube |
| 1562× | associate-*r* |
| 1271× | prod-exp |
| 1211× | pow1 |
| 1175× | div-exp |
| 823× | associate-*l/ |
| 807× | flip-- |
| 806× | flip3-- |
| 791× | add-log-exp |
| 756× | difference-of-squares |
| 752× | distribute-lft-out-- |
| 663× | associate-/l* |
| 651× | associate-*l* |
| 591× | cbrt-unprod |
| 527× | unpow-prod-down |
| 522× | distribute-lft-out |
| 514× | cbrt-undiv |
| 501× | frac-times |
| 469× | associate-/r* |
| 463× | sqrt-prod |
| 439× | pow-exp |
| 421× | associate-/r/ |
| 409× | cbrt-prod |
| 405× | frac-add |
| 402× | sqrt-div |
| 393× | associate-*r/ |
| 357× | div-inv |
| 323× | distribute-rgt-neg-in |
| 321× | pow-to-exp |
| 307× | cube-prod |
| 261× | pow-prod-down |
| 254× | unswap-sqr |
| 231× | swap-sqr |
| 196× | log-prod |
| 182× | flip-+ |
| 181× | flip3-+ |
| 165× | sqr-pow |
| 132× | *-commutative |
| 127× | associate-/l/ |
| 126× | distribute-lft-neg-in |
| 122× | sub-neg |
| 113× | clear-num frac-2neg |
| 109× | cos-mult |
| 107× | sin-mult |
| 99× | diff-log |
| 98× | 1-exp |
| 88× | log-pow |
| 81× | frac-sub |
| 74× | unpow3 cube-mult |
| 73× | rec-exp |
| 69× | div-sub |
| 58× | cbrt-div |
| 56× | sum-log |
| 54× | pow-unpow log-div |
| 49× | exp-prod |
| 43× | distribute-rgt-in distribute-lft-in |
| 42× | neg-mul-1 |
| 41× | unpow2 |
| 38× | pow1/2 sqrt-pow1 |
| 36× | tan-quot |
| 35× | pow-prod-up |
| 34× | rem-sqrt-square +-commutative neg-sub0 associate-+l- |
| 32× | pow1/3 |
| 31× | pow-sqr |
| 29× | pow-plus |
| 27× | associate-+l+ |
| 26× | rem-log-exp |
| 25× | pow-pow |
| 22× | cube-div rem-cube-cbrt pow2 |
| 18× | un-div-inv distribute-rgt-out |
| 17× | sin-diff |
| 16× | sub-div neg-log exp-sum |
| 15× | associate--l- cos-diff associate--r+ |
| 14× | cos-sum associate--l+ |
| 13× | sin-cos-mult |
| 12× | associate-+r+ acos-asin |
| 10× | associate-+r- |
| 9× | rem-exp-log distribute-frac-neg |
| 8× | exp-diff pow-flip associate--r- |
| 7× | rem-cbrt-cube sin-sum inv-pow |
| 5× | acos-neg |
| 4× | sum-cubes |
| 3× | distribute-lft1-in distribute-rgt-out-- |
| 2× | exp-to-pow |
| 1× | sqrt-unprod pow3 cube-unmult sqr-sin log-rec tanh-undef asin-acos distribute-rgt-neg-out tanh-def |
| 224× | egg-herbie |
Total 24.2b remaining (19.2%)
Threshold costs 8.1b (6.4%)
| 4.5b | 84.5% | Quadratic roots, full range |
| 4.4b | 84.6% | Cubic critical |
| 3.7b | 74% | Equirectangular approximation to distance on a great circle |
| 2.5b | 70.2% | Quotient of products |
| 1.0b | 0% | 2-ancestry mixing, zero discriminant |